Series on Photoconversion of Solar Energy — Vol. 1
CLEAN ELECTRICITY FROM PHOTOVOLTAICS
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Imperial College Press
CLEAN ELECTRICITY FROM PHOTOVOLTAICS
Series on Photoconversion of Solar Energy — Vol, 1
CLEAN ELECTRICITY FROM PHOTOVOLTAICS
Editors
Mary D. Archer Imperial College, UK
Robert Hill University of Northumbria, UK
Imperial College Press
Published by Imperial College Press 57 Shelton Street Covent Garden London WC2H 9HE Distributed by World Scientific Publishing Co. Pte. Ltd. P O Box 128, Farrer Road, Singapore 912805 USA office: Suite IB, 1060 Main Street, River Edge, NJ 07661 UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library.
Index prepared by Indexing Specialists, Hove, BN3 2DJ, UK
CLEAN ELECTRICITY FROM PHOTOVOLTAICS Series on Photoconversion of Solar Energy — Vol. 1 Copyright © 2001 by Imperial College Press All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher.
ISBN
1-86094-161-3
Printed in Singapore.
This volume is dedicated with the affection and respect of its authors
Robert Hill 24 June 1937 — 26 November 1999
CONTENTS About the authors
xm
Preface
xxiii
1 The past and present M. D. Archer 1.1 1.2 1.3 1.4 1.5
1
Milestones in photovoltaic technology Evolution of the PV market Overview of photo voltaic cell operation Other junction types Sources of further information
4 11 14 24 28
2 Device physics of silicon solar cells J. O. Schumacher and W. Wettling 2.1 Introduction 2.2 Semiconductor device equations 2.3 Thep-n junction model of Shockley 2.4 Real diode characteristics 2.5 Numerical solar cell modelling 2.6 Concluding remarks
33
3 Principles of cell design J. Poortmans, J. Nijs and R. Mertens
91
3.1 3.2 3.3 3.4 3.5 3.6 3.7
Introduction Main cell types Optical design of cells Surface recombination losses and their reduction Bulk recombination losses and their reduction Design and fabrication of the metal contacts Conclusions
4 Crystalline silicon solar cells M. A. Green
33 35 37 55 67 86
91 93 99 108 121 133 140 149
4.1 Overview 4.2 Silicon cell development
149 151
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4.3 4.4 4.5 4.6 4.7 4.8
Substrate production Cell processing Cell costs Opportunities for improvement Silicon-supported thin films Summary
164 173 178 180 185 189
5 Amorphous silicon solar cells C. R. Wronski and D. E. Carlson
199
5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11
Introduction Background Amorphous silicon-based materials Growth and microstructure Solar cells Solar cell structures PV modules Manufacturing costs Long-term reliability Environmental issues Challenges for the future
6 Cadmium telluride solar cells D. Bonnet 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 6.10
Introduction Early work The potential of the base material Diodes and cells Cell production Module production Industrial status—achievements and projections Economic aspects Health and environmental aspects Conclusions
7 Cu(In,Ga)Se2 solar cells U.RauandH. W. Schock 7.1 Introduction
199 201 202 209 211 221 225 231 232 235 236 245 245 246 246 249 251 262 264 267 268 269 277 277
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7.2 7.3 7.4 7.5 7.6
Material properties Cell and module technology Device physics Wide-gap chalcopyrites Conclusions
8 Super-high efficiency III-V tandem and multijunction cells M Yamaguchi 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8
Introduction Principles of super-high efficiency multijunction solar cells Candidate materials for multijunction cells and their present status Epitaxial technologies for growing III-V compound cells Monolithic vs. multi-terminal connection modes Cell interconnection Possible applications of multijunction cells Predictions
9 Organic photovoltaic devices J. J. M. Halls andR. H. Friend 9.1 Introduction 9.2 Background—early work on photoresponsive organic semiconductors 9.3 Conjugated molecules: a new class of semiconductors 9.4 Basic organic photovoltaic cells 9.5 Photogeneration and charge transport in organic PV cells 9.6 The characteristics of organic photovoltaic cells 9.7 Heterojunction photovoltaic cells 9.8 Dispersed heterojunction photovoltaic cells 9.9 Diffuse interface photovoltaic cells 9.10 Towards future applications 9.11 Conclusions 10 Quantum well solar cells J. Nelson 10.1 Introduction 10.2 Device design, materials and technology 10.3 Physics of QWs
279 286 306 325 332 347 347 349 355 363 364 365 368 369 377 377 383 384 390 398 405 413 421 428 429 432 447 447 448 451
Contents
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10.4 10.5 10.6 10.7
Performance characteristics of QWSCs Limits to efficiency Applications Conclusions
462 472 474 476
11 Thermophotovoltaic generation of electricity T. J. Coutts 11.1 Introduction 11.2 Radiators 11.3 Optical control elements 11.4 Device modelling 11.5 Potentially suitable materials 11.6 System modelling 11.7 Summary
481
12 Concentrator cells and systems A. Luque 12.1 Introduction 12.2 Concentrator solar cells 12.3 Tracking concentrators 12.4 Performance and cost considerations 12.5 Conclusion: under what circumstances is concentration worthwhile?
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13 Cells and systems for space applications C. M. Hardingham 13.1 13.2 13.3 13.4 13.5 13.6 13.7 13.8
Space systems The space environment History of solar arrays in space Market trends and drivers in satellite power requirements Satellite solar arrays Space solar cell technology New approaches for satellite solar arrays Long-term directions
481 487 490 497 506 512 518
529 531 556 570 574
585 585 588 592 593 596 599 604 605
Contents 14 Storage of electrical energy R. M. Dell 14.1 Introduction 14.2 Electricity storage options 14.3 Kinetic energy storage 14.4 Hydrogen energy storage 14.5 Storage batteries 14.6 Super- and ultra-capacitors (electrochemical capacitors) 14.7 Conclusions 15 Photovoltaic modules, systems and applications N. M. Pearsall andR. Hill 15.1 15.2 15.3 15.4 15.5 15.6
Introduction Photovoltaic modules The photovoltaic array The photovoltaic system Costs of PV components and systems Conclusions
16 The photovoltaic business: manufacturers and markets B. McNelis 16.1 Introduction 16.2 Origins and structure of the industry 16.3 Growth in PV production 16.4 Manufacturers 16.5 Markets 16.6 Future market growth 16.7 International financing and new initiatives 16.8 Concluding remarks 17 The economics of photovoltaic technologies D. Anderson 17.1 17.2 17.3 17.4
Introduction Economics of PV applications The policy framework Conclusions
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609 609 610 614 618 633 662 663 671 671 672 683 688 704 710 713 713 715 716 718 726 732 734 736 741 741 742 754
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18 The outlook for PV in the 21st century E. H. Lysen andB. Yordi 18.1 18.2 18.3 18.4 18.5 18.6 18.7 18.8 18.9
I II HI IV
771
The changing outlook for PV PV and world energy supply PV can play an impressive local role The ultimate PV system Market development Barriers to the introduction of PV Costs International co-operation The future of PV
771 773 774 779 781 784 786 787 788
Appendices Fundamental Constants Useful Quantities and Conversion Factors List of Symbols Acronyms and Abbreviations
791 792 793 797
Index
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ABOUT THE AUTHORS Dennis Anderson is a Professorial Research Fellow and Director of the Centre for Energy Policy and Technology in the T. H. Huxley School of Imperial College, London. At the time of writing his chapter, he was a Fellow of the UK Economic and Social Science Research Council (Global Environment Change Programme), undertaking research on innovation and the environment. He has previously held posts as the Energy and Industry Adviser of the World Bank, Chief Economist of Shell, and as an engineer in the electricity generating industry. He has published widely on the subjects of energy, economic growth and development. Mary Archer read chemistry at Oxford University and received her PhD on heterogeneous catalysis from Imperial College, London in 1968. Her interest in solar energy was sparked by attendance at the 1972 International Solar Energy Society in Paris, following which she founded the UK Section of ISIS, of which she is currently President. Her research at The Royal Institution, London (1972-1976), and Cambridge University (1976-1986) has centred on photoelectrochemical methods of solar energy conversion. Since leaving full-time academia in 1986, she has served on a number of energy policymaking bodies, including the UK Department of Energy's Renewable Energy Advisory Group (1991-92), the Department of Trade & Industry's Energy Advisory Panel (1993-98) and the Steering Committee of the Scolar Programme for Photo voltaics in the UK. She is a visiting professor in the Centre for Energy Policy and Technology at Imperial College, a Fellow of the Royal Society of Chemistry, and President of the National Energy Foundation, which promotes energy efficiency and the renewables. Dieter Bonnet was born in Stuttgart, Germany in 1937 and obtained his PhD on photoelectric properties of organic materials at Frankfurt University in 1963. In 1965, he joined Battelle Institute in Frankfurt, and in 1968 started work on thin-film solar cells based on II-VI compounds, including CdTe. In 1970, he made the world's first CdTe/CdS thinfilm solar cell in the presently known configuration. In June 1972—over 25 years ago—this cell had an AMO efficiency of 6%. In 1990, he resumed work on CdTe thinfilm cells, and in 1992 initiated the EUROCAD CdTe thin-film solar cell project, which is funded by the EU's Joule programme. Ten partners, among them three industrial companies, have since collaborated very successfully under this programme to develop CdTe cell technology. In 1993, after Battelle Frankfurt terminated business, Dieter Bonnet co-founded ANTEC GmbH, and he is presently leading efforts to set up a 10 MWp/year production plant using ANTEC's proprietary thin-film technology. Xlll
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About the Authors
David Carlson is Chief Scientist of BP Solarex. He received his BS in physics from Rensselaer Polytechnic Institute, New York in 1963, and his PhD in physics from Rutgers University in 1968. After serving in the US Army for two years, he joined RCA Laboratories in 1970, where he invented the amorphous silicon solar cell in 1974 and became Group Head of Photovoltaic Device Research in 1977. In 1983, he joined Solarex Corporation (now BP Solar) as Director of Research of the Thin-Film Division, becoming General Manager in 1987. He was promoted to Vice-President in 1988, and to Chief Scientist in 1999. He received the Ross Coffin Purdy Award in 1975, the Walton Clark Medal in 1986, the IEEE William R. Cherry Award in 1988, and the ISES/University of Delaware Karl W. Boer Medal in 1995. He was co-recipient (with Christopher Wronski) of the 1984 IEEE Morris N. Liebmann Award. He is a Fellow of the IEEE and a member of the American Physical Society, the American Vacuum Society, the Materials Research Society and Sigma Xi. He has published more than 110 technical papers and holds 25 US patents. Timothy Courts was born in Newcastle upon Tyne, UK and gained his bachelor's and doctoral degrees in 1965 and 1969. He has worked on many topics, including charge transfer in thin copper films, discontinuous, continuous and cermet thin films, and surface scattering in thin metal films. He has been involved in solar cell research since about 1970. He joined the US National Renewable Energy Laboratory (NREL), where he is now a Research Fellow, in 1984. He helped to develop ITO/InP cells for space application, and InP/InGaAs cells with a record efficiency of 31.8%. He has had a keen interest in thermophotovoltaics (TPV) since 1992, and initiated TPV research and chaired four conferences on the topic at NREL. He is currently interested in CdTe cells and novel transparent conducting oxide (TCO) electrodes. Recently, his work in TCOs has broadened to include new materials and characterisation techniques. He was awarded the John A. Thornton Memorial Award by the American Vacuum Society in 1999. He has published over 170 papers, written one book and edited ten others. Ronald Dell is a chemist, educated at the University of Bristol, UK After several years in the US working on chemisorption and catalysis and two years in the Royal Naval Scientific Service, he joined the UK Atomic Energy Authority in 1959 and remained there until he retired in 1994. At Harwell he spent almost 20 years working in solidstate chemistry, especially of the actinide elements. In 1978, he switched to become head of the Applied Electrochemistry Department with particular interests in power sources and the use of electrochemical techniques to solve environmental problems. He is the author of nearly 100 scientific papers and reports and co-author of the book Batteries for Electric Vehicles (Research Studies Press, Baldock, Herts, UK, 1998).
About the Authors
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Richard Friend is the Cavendish Professor of Physics at the University of Cambridge. He has pioneered the study of organic polymers as semiconductors, and demonstrated that these materials can be used in wide range of semiconductor devices, including light-emitting diodes, transistors and photocells. He has been very active in the process of technology transfer of this research to development for products. He was one of the founders of Cambridge Display Technology (CDT), which is developing light-emitting diodes and other optoelectronic devices based on organic semiconductors, and he currently serves as Director and Chief Scientist of CDT. Martin Green is a Scientia Professor at the University of New South Wales, Sydney, the Director of the University's Photovoltaics Special Research Centre, and the Research Director of Pacific Solar Pty. Ltd., established to commercialise the University's silicon thin-film solar cell technology. He was born in Brisbane and educated at the University of Queensland and then McMaster University, Canada. His contributions to photovoltaics include the improvement of silicon solar cell performance by over 50% in the past 15 years. Major international awards include the IEEE William R. Cherry Award in 1990, the IEEE J. J. Ebers Award in 1995 and the 1999 Australia Prize, shared with his colleague and former student, Stuart Wenham, for "outstanding achievements in energy science and technology". He is a Fellow of the Australian Academy of Science, the Australian Academy of Technological Sciences and Engineering and the Institute of Electrical and Electronic Engineers. He is the author of four books on solar cells, several book chapters and numerous reports and papers in the area of semiconductor properties, microelectronics and solar cells. Jonathan Halls was born in Lincoln in 1972. After reading physics at Cambridge University, he began research for a PhD under the supervision of Professor Richard Friend in the Optoelectronics Group of the Cavendish Laboratory in Cambridge. His main field of research was that of photovoltaic cells based on conjugated polymers, and he investigated a number of approaches to increase their efficiency. In doing so, he pioneered a technique in which electron- and hole-accepting polymers are blended together, yielding a high surface area of active interface at which charge separation is efficient. This work resulted in a publication in Nature and the filing of a patent. In 1997, he began postdoctoral research in the same research group, during which time he has worked on organic light-emitting diodes, and is currently continuing to work with organic photovoltaic cells.
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About the Authors
Chris Hardingham was born in Essex in 1963. Following a physics degree at Cambridge University, he worked at EEV (now Marconi Applied Technologies) on semiconductor process development for GaAs and related materials. He was awarded his PhD by Imperial College, London in 1998, for research into the use of electron beam techniques for semiconductor materials analysis. Following responsibilities for solar cell R&D, and solar cell engineering and project management, he moved to his present position of solar cell product manager at Marconi Applied Technologies in 1999. His interests include III-V materials for solar cells and other applications, and device and subsystems engineering for use in space. He holds several patents and patent applications in the field of III-V space solar cells, and has presented and written many papers in the field for technical conferences and peer-reviewed journals. Robert Hill (1937-1999) took his first degree in physics at Imperial College, London, and a PhD in solid-state luminescence. He worked in photovoltaics from 1971, originally on the science and technology of thin-film cells. He then widened his interests to include the economic and environmental aspects of production and applications, PV in developing countries and on buildings, and the policy aspects of PV dissemination. He founded the Newcastle Photovoltaics Applications Centre in 1984, and was its director until his retirement in 1998. In January 1999, he was appointed director of the Renewable Energy Agency for the North East (of the UK), funded by Government Office North East, with a remit to increase the use of renewable energy sources and promote the development of industrial capabilities in these technologies. He was a founder member of the British Photovoltaics Association and its chairman for the year 1999-2000. Antonio Luque obtained his Doctor of Engineering degree from the Polytechnic University of Madrid in 1967. In 1969, he joined the university staff and founded its Semiconductor Laboratory. In 1979, this centre became the Institute of Solar Energy that he leads at present. In 1981, he founded the company Isofoton to manufacture the bifacial cells he had invented, and he chaired its board until 1990. Professor Luque has written some 200 papers and registered some 12 patents, of which four are in exploitation. He has obtained 12 scientific awards, among which are the Spanish National Prize for Technology in 1989, the Becquerel Prize awarded by the European Commission for PV in 1992 and the Rey Jaime I Prize for the protection of the environment in 1999. He has been a member of the Spanish Academy of Engineering since 1995, and a member of the Advisory Council for Science and Technology, which advises the Spanish Prime Minister, since 1996.
About the Authors
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Erik Lysen has been managing director of the Utrecht Centre for Energy Research since mid-1998. He received his master's degree in electrical engineering from Eindhoven University of Technology in 1972. In the seventies, he worked on wind power projects in developing countries, first as head of the CWD Wind Energy Group at the University of Groningen, and later at Eindhoven University of Technology. As senior project engineer for DHV Consultants, Amersfoort, and later as an independent consultant, he carried out energy projects for a number of clients such as the World Bank. From 1992 until 1998, he was Head of New Developments for the Netherlands Agency for Energy and the Environment (Novem). He has chaired the Executive Committee of the IEA Photovoltaic Power Systems Programme (IEA-PVPS) since 1998. He is a member of the Energy and Environment Steering Committee of the World Bank, and the Advisory Boards of the Solar Investment Fund of Triodos Bank and the PV Global Approval Program (PV-GAP). Bernard McNelis is managing director of IT Power, Eversley, UK, an international renewable energy research and consulting firm which he co-founded 20 years ago. After research in battery electrochemistry, he joined Solar Power Corporation in 1973. He moved on to work on solar buildings and large-scale solar thermodynamic power generation. He is one of the longest serving members of the British renewable energy industry, with more than 25 years experience of renewable energy technologies—photovoltaics, solar-thermal, solar-thermodynamic, wind and biomass. He has been an active member of the International Solar Energy Society since 1974, serving as chairman of UK-ISES in the period 1993-1996, director of ISES 1993-99, and Vice-President 1995-1997. He is currently chairman of the British Photovoltaic Association (P V-UK) and of the British Standards Institution PV Committee. He is also a member of the International Electrotechnical Commission PV Standards Committee (TC/82) and British representative for a number of International Energy Agency (IEA) PV activities. He led the IEA Photovoltaic Power Systems project on co-operation with developing countries. He has published more than 100 papers and contributed to five books on solar technology. Robert Mertens received his PhD from the Katholieke Uni versiteit of Leuven, Belgium in 1972 and was a visiting scientist at the University of Florida in 1973. On his return to Belgium in 1974, he became a senior research associate of the National Foundation for Scientific Research of Belgium. In 1984, he joined the Inter-University Microelectronics Centre (IMEC) in Leuven as Vice-President, later becoming senior Vice-President responsible for research on materials, components and packaging, including research on micro-systems, photovoltaics and solid-state sensors. Since 1984,
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About the Authors
he has also served as a professor at the University of Leuven, where he teaches courses on electronic devices and the technology of electronic systems. In 1995, he was elected a Fellow of the IEEE for his "contributions to heavily doped semiconductors, bipolar transistors and silicon solar cells". Jenny Nelson is an EPSRC Advanced Research Fellow in the Department of Physics, Imperial College, London. She has been involved in photovoltaics research for over ten years, focussing on the theory, characterisation and optimisation of novel multi-bandgap and heterojunction photovoltaic devices. With Professor Keith Barnham, she was a pioneer of the quantum well solar cell, and more recently has extended her research to dye-sensitised photovoltaic systems. Her work has been supported by the Engineering and Physical Sciences Research Council and the Greenpeace Environmental Trust. Johan Nijs took his MS in electronic engineering, his PhD in applied sciences, and his MBA from the Katholieke Universiteit of Leuven (K.U. Leuven), Belgium in 1977, 1982 and 1994 respectively. In 1977, after a trainee period of two months at Philips, he joined the Electronics, Systems, Automation and Technology (ES AT) laboratory of K.U. Leuven, working on the fabrication of silicon solar cells. In 1982-83, he worked on amorphous silicon technology as a postdoctoral visiting scientist at the IBM Thomas J. Watson Research Center, Yorktown Heights, New York. In 1984, he joined the InterUniversity Micro-Electronics Centre (IMEC) in Leuven as head of the Silicon Materials Group, working on solar cells, bipolar transistors, low-temperature silicon epitaxy and polysilicon thin-film transistors on glass. He is currently Director of the Photovoltaics Department at IMEC, which undertakes long-term research on photovoltaic materials, concepts and technologies, industrial crystalline silicon cell fabrication technologies and photovoltaic systems integration. In 1990, he was appointed part-time assistant professor at K.U. Leuven. He has authored or co-authored more than 200 papers, and is the inventor or co-inventor on 10 patents or patent applications. Nicola Pearsall is Director of the Newcastle Photovoltaics Applications Centre at the University of Northumbria, having taken over on the retirement of Professor Robert Hill in the summer of 1998. She holds a degree in physics from the University of Manchester Institute of Science and Technology and obtained her PhD from Cranfield Institute of Technology for research on indium phosphide cells for satellite applications. She has been involved in research in photovoltaics for over 20 years, and has worked on the development of devices for space and terrestrial applications, testing methods, system design and performance analysis. Much of her current work is in the area of buildingintegrated photovoltaics.
About the Authors
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Jozef Poortmans received his degree in electronic engineering from the Katholieke Universiteit of Leuven, Belgium, in 1985, and then joined the new Inter-University Microelectronic Centre (IMEC) in Leuven, working on laser recrystallisation of polysilicon and amorphous silicon for solar cells and thin-film transistors. In 1993, he received his PhD for a study of strained Si/Ge layers. He then joined the Photovoltaics Group (later Department) of IMEC, where he is currently in charge of the Advanced Solar Cells Group. This group has three main activities: low-thermal-budget processes (rapid thermal processing and plasma deposition), the fabrication of thin-film crystalline Si solar cells on Si and foreign substrates, and organic solar cells. He has authored or co-authored more than 140 papers, as well as two book chapters on the properties of Si/Ge alloys and heterojunction bipolar transistors. Uwe Rau received his PhD in physics in 1991 from the University of Tubingen, Germany, for his work on temporal and spatial structure formation in the lowtemperature electronic transport of bulk semiconductors. From 1991 to 1994, he worked at the Max Planck-Institut fiir Festkorperforschung, Stuttgart on Schottky contacts, semiconductor heteroj unctions and silicon solar cells. From 1994 to 1997, he worked at the University of Bayreuth, Germany, on electrical characterisation and simulation of Si and CuInSe2 solar cells. In 1997, he joined the Institut fiir Physikalische Elektronik at the University of Stuttgart, where he became leader of the Device Analysis Group. His research interests centre on transport phenomena, especially electrical transport in solar cell heteroj unction devices and interface and bulk defects in semiconductors. He has authored or co-authored more than 100 scientific publications. Hans-Werner Schock leads the compound semiconductor thin-film group of the Institute of Physical Electronics at the University of Stuttgart, Germany. He received his diploma in electrical engineering in 1974, and doctoral degree in electrical engineering in 1986, from the University's Faculty of Electrical Engineering. Since the early 1970s, he has worked on the development of polycrystalline II-VI and I—III—VI2 compound semiconductor thin-film solar cells, from basic investigations to the transfer to pilot fabrication. He also developed chalcogenide compound phosphors for tnin-film electroluminescence. Since 1986, he has co-ordinated the research on chalcopyrite-based solar cells in the European photovoltaic programme. He is the author or co-author of more than 250 contributions in books, scientific journals and conference proceedings.
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About the Authors
Jiirgen Schumacher studied physics in Frankfurt/Main and Freiburg in Germany. He is currently working toward completion of his PhD on the simulation and characterisation of novel and high-efficiency solar cell devices at the Fraunhofer Institute for Solar Energy Systems in Freiburg. As part of his studies, he worked as a visiting scientist at the University of New South Wales, Sydney, Australia in the Photovoltaics Special Research Centre headed by Professor Martin Green. Wolfram Wettling is head of the Department of Solar Cells Materials and Technology of the Fraunhofer Institute for Solar Energy Systems (ISE) in Freiburg, Germany, which is the largest institute devoted to solar energy R&D in Europe. He also teaches semiconductor physics at the University of Freiburg. After studying physics in Freiburg and Karlsruhe and a post-doctoral year at the Technical University of Copenhagen, he joined the Fraunhofer Institute for Applied Solid State Physics in 1970, working in various fields of solid-state physics such as magnetism, magneto-optics, light scattering, electron-phonon and magnon-phonon interaction, laser development and III-V semiconductors. He has also worked as a visiting scientist at the Hebrew University, Jerusalem and Colorado State University, Fort Collins. In 1988, he joined the Fraunhofer ISE and since then has been involved in the development of highly efficient crystalline silicon and III-V solar cells. He is the author or co-author of about 150 papers, half of them in the field of photovoltaics. Christopher Wronski is Leonhard Professor of Microelectronic Materials and Devices and co-director of the Center for Thin Film Devices at Pennsylvania State University. He received his BS in physics from Imperial College, London in 1960, and his PhD from London University in 1963. From 1963 to 1967, he worked at 3M Research Laboratories. In 1967, he joined the RCA David Sarnoff Research Laboratory, where he collaborated with David Carlson in making the first amorphous silicon solar cells in 1974. His collaboration with David Staebler led to the discovery in 1976 of the reversible lightinduced changes in amorphous silicon known as the Staebler-Wronski effect. Professor Wronski initiated a number of research programmes on amorphous silicon cells at RCA, and later at Exxon Corporate Research Laboratories, which he joined in 1978. At Exxon he was a member of the team that pioneered the development of optical enhancement for amorphous silicon cells. He was also active in studies on multi-layered amorphous superlattices for application to solar cells and photoreceptors. In 1984, he was corecipient (with David Carlson) of the IEEE Morris N. Liebmann Award. He has over 250 publications and ten US patents, and is a Fellow of the IEEE and the American Physical Society.
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Masafumi Yamaguchi is a professor at the Toyota Technological Institute, Nagoya, Japan. He received his BS and PhD degrees from Hokkaido University in 1968 and 1978 respectively. In 1968, he joined the NTT Electrical Communications Laboratories in Tokyo, working on radiation damage in Si and III-V compounds, ZnSe blue-lightemitting diodes and III-V solar cells. In 1983, he discovered the superior radiation resistance of InP, and in 1987 his group developed high-efficiency InP, GaAs-on-Si and AlGaAs/GaAs tandem cells. As chairman of NEDO's Super High-Efficiency Solar Cell Committee, he has contributed to the attainment of very high efficiency InGaP/GaAs dual-junction cells. His research interests include high-efficiency multijunction, concentrator, polycrystalline and thin-film Si cells, radiation damage to solar cells and materials and new carbon-based materials for photovoltaics. He is the chairman of the Photovoltaic Power Generation Technologies Research Committee of the Institute of Electrical Engineers of Japan, and will serve as the Programme Chairman of the Third World Conference on Photovoltaic Energy Conversion, to be held in Osaka in 2003. He received the Vacuum Science Paper Award in 1981, and the Irving Weinberg Award for contributions to space photovoltaics in 1997. Beatriz Yordi has been responsible for the PV sector of the European Commission's Directorate-General for Energy and Transport since October 1994. She was born in La Coruna, Spain and took her Bachelor's Degree in physics at the University of Santiago de Compostela in 1987. Following a year of research in the Department of Optics and Materials Structure at the University of Santiago, she joined the Research Centre for Energy, Environment and Technology (Ciemat) in Madrid, working in the Institutes of Energy Studies and Renewable Energy. From 1991 to 1994, she served as Chief Engineer for the Toledo 1 MW photovoltaic plant, a project with several technical innovations (novel PV cells and a novel tracking system) that was co-funded by the European Commission, the Spanish and German governments and three European utilities.
PREFACE And there the unregulated sun Slopes down to rest when day is done And wakes a vague, unpunctual star ... Rupert Brooke, The Old Vicarage, Grantchester, May 1912.
Since the dawn of history, man has been fascinated by the Sun, the provider of the light and warmth that sustains life on Earth. In pre-industrial times, our major sources of energy—wood, wind and water power—derived from solar energy. The subsequent discovery and massive exploitation of fossil fuels laid down in the Earth's crust by early aeons of photosynthetic activity have conditioned the developed world to be dependent on convenient, readily available energy. But we are living on our energy capital. The Earth's reserves of coal, oil and gas are finite and likely to become resource-depleted in the course of this century. A sense of living on borrowed time was therefore appropriate even before concerns about global climate change, sustainability and energy security combined to raise interest in renewable energy to its current encouraging level. This book is the first in a series of four multi-authorial works on the photoconversion of solar energy. It was created from my long-held conviction that, despite slow starts and setbacks, solar energy—broadly defined to encompass other renewable energy forms that derive from solar—will become the Earth's major energy source within this century. The Sun is a source of both radiant heat and light, and techniques for using solar energy correspondingly divide into thermal methods (solar power towers, water heaters and so on) and photoconversion (sometimes called direct) methods. Photoconversion is the subject of this book series. A photoconverter is a device that converts sunlight (or any other source of light) into a useful form of energy, usually electrical power or a chemical fuel, in a process that relies, not on a raised temperature, but on the selective excitation of molecules or electrons in a light-absorbing material and their subsequent de-excitation in a way that produces energy in a useful form. Volume I covers the most developed of the man photoconversion devices, photovoltaic (PV) cells, which are solid-state semiconductor devices that produce electrical power on illumination. Volume II will cover the natural photoconversion system of photosynthesis, the potential of biomass as an energy source and the global carbon budget. Volume III will explore the less developed but exciting possibilities of synthesising artificial 'molecule-based' photoelectrochemical or photochemical photoconverters. Finally, Volume IV will draw together the common themes of photoconversion and provide some background material.
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Preface
The series is intended mainly for senior undergraduates, graduate students and scientists and technologists working on solar photoconversion. Chapters 1-12 of this book deal with PV cell design, device physics and the main cell types—crystalline and amorphous silicon, cadmium telluride and copper indium diselenide—as well as more advanced or less developed options such as quantum-well and thermophotovoltaic cells. These chapters are mainly technical, requiring sound knowledge of physics, chemistry or materials science for ready understanding. Chapters 13-18 deal with PV systems, manufacturers, markets and economics and are accessible without specialist knowledge. A multi-authorial work owes its very existence to its authors, and my wholehearted thanks must go to the twenty-five distinguished individuals, all recognised authorities in their own fields, who have contributed to this book and patiently answered my queries during the editing stage. I have also been helped by discussions about PV with many friends and colleagues, and visits to installations throughout the world: I have been up Swiss mountains, onto Japanese rooftops and into the Arizona desert, and thoroughly enjoyed every minute. I am most grateful to those who have read and commented on various parts of this book or provided specialist information in advance of publication: Dennis Anderson, Jeffrey and William Archer, Stephen Feldberg, Martin Green, Eric Lysen, Larry Kazmerski, Bernard McNelis and Nicola Pearsall. I also warmly thank Alexandra Anghel, Barrie Clark, Stuart Honan and my PA Jane Williams for editorial assistance, and Ellen Haigh and John Navas of IC Press and Alan Pui of World Scientific Press for guiding the book to publication. For me the sad part of writing this preface is that I must do so in the first person, for my co-editor Professor Robert Hill died suddenly on 26 November 1999. Bob was the most knowledgeable champion of photovoltaics in the UK, and his premature death has deprived the British PV community of its cornerstone. He had drafted his chapter with Nicky Pearsall some months before he died, and the flow of emails delivering his astute editorial comments on other chapters continued until the day before his death. Bob believed unshakeably in the future of PV. Although he knew that system costs will have to fall by another factor of 2-3 if PV is to become cost-competitive in major new grid-accessible markets, there are good grounds for believing this is possible. PV technology is still young, and significant further economies of scale from larger manufacturing facilities, as well as further advances in the fundamental science, can confidently be expected. The world's first-generation televisions and mobile telephones were at least as uncommon and expensive as PV is now.
The Old Vicarage, Grantchester December 2000
Mary Archer
CHAPTER 1
THE PAST AND PRESENT MARY D. ARCHER Centre for Energy Policy and Technology, Imperial College of Science, Technology and Medicine, London SW7 2AZ, U.K. mdal2@cam. ac. uk
Time present and time past Are both perhaps present in time future. T. S. Eliot Burnt Norton, Four Quartets, 1935-1942.
Photovoltaic (PV) cells generate electric power when illuminated by sunlight or artificial light. They are by far the most highly developed of the man-made photoconversion devices. Born of the space age in the 1950s, their earliest terrestrial applications emerged in the 1970s and they are now poised for significant market expansion in the new millennium. PV technology is elegant and benign, with a number of striking advantages over conventional methods of electricity generation. First and foremost, solar energy is the world's major renewable energy resource. PV power can be generated from the Sun anywhere—in temperate or tropical locations, in urban or rural environments, in distributed or grid-feeding mode—where the insolation is adequate. As a fuel-free distributed resource, PV could in the long run make a major contribution to national energy security and carbon dioxide abatement. In the UK, for example, each kWp of PV installed avoids the emission of about 1 tonne C0 2 per year. PV is uniquely scalable, the only energy source that can supply power on a scale of milliwatts to megawatts from an easily replicated modular technology with excellent economies of scale in manufacture. A typical crystalline silicon PV cell generates about 1.5 peak watts1 (Wp) of DC power, a typical PV module about 50 Wp, and the world's largest multimodule arrays (for example, the 3.3 MWe plant at Serre, Italy) generate upward of a megawatt apiece.
' The power output of a PV cell or module is rated in peak watts (Wp), meaning the power output at 25 C under standard AMI.5 solar radiation of global irradiance 1 kW m"2. To convert from peak watt output to 24-hour average power output in a sunny location, divide by ~5.
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M. D. Archer
PV cells are made of thin semiconductor wafers or films. They contain small amounts only of (usually non-toxic) materials and, when manufactured in volume, have modest embedded energy. They possess no moving parts, generate no emissions, require no cooling water and are silent in operation. PV systems are reliable, easy to use and longlived if properly maintained (most commercial modules have lifetime guarantees of 25 years, though some balance-of-system components, notably storage batteries, are less reliable and long-lived than this). Carefully designed, PV arrays are not visually intrusive, and can indeed add architectural merit to the aesthetic of a built structure. PV really has only three drawbacks. First is the intermittence and seasonality of sunlight. As President Gerald Ford is alleged to have remarked, "Solar energy isn't going to happen overnight." The lack of inexpensive and efficient methods of storing electrical energy, and the poor match between the solar and electrical demand peaks in many locations and applications, are stumbling blocks for PV. For small stand-alone applications, battery storage, unsatisfactory as it is, is the only practical storage option. This can be avoided in grid-connected applications where surplus power can be sold to the grid; where there are many distributed or embedded PV generators spread over a geographic region, this has the additional benefit of'integrating out' the fluctuations in local PV contributions. For PV to contribute to global electricity supply on a very large scale, cost-effective means of intercontinental transmission of electrical power (or perhaps of a chemical vector, such as hydrogen, derived from electrical power) would need to be developed. Another characteristic of solar energy that is sometimes perceived as a difficulty is its low power density. The solar power received at Earth's surface, averaged over day and night, winter and summer, varies from about 100 W m 2 in temperate locations to about 300 W m"2 in sunbelt regions. All solar technologies therefore require substantial areas to be covered by solar converters, or by optical concentrators coupled to solar converters, for substantial amounts of power to be generated.2 Taking the UK as an example, the south of England receives insolation of roughly 1 TWh per square kilometre per year, so an area of-2,500 km2 would need to be covered with 15% efficient PV modules to generate the UK's present electricity consumption of-350 TWh/y. The most elegant and cost-effective method of deploying such area-intensive technology is on the surfaces of built structures, rather than as free-standing arrays. This is the more attractive if the PV facade replaces, and avoids the cost of, conventional cladding.
2
Hydroelectric power is, however, considerably more area-intensive than solar power (Anderson and Ahmed, 1993).
The Past and Present
3
This brings us to the second difficulty with PV—its cost. Manufacture of most cell types is an intricate operation, requiring careful control of semiconductor growth and purity and many processing steps. PV systems are expensive, although module costs have fallen substantially—about five-fold in the last twenty years—as the market has grown. In 1999, the PV modules market was worth $665m, and the total value of the business—systems, installation and so forth—was about $2billion (SU, 2000). Current module manufacturing costs are 3-4/Wp, and balance-of-system (BOS) costs can raise the total system cost to 6$/Wp if no battery storage is needed, and 8-10$/Wp if storage is needed. A capital cost of 6$/Wp translates to a PV electricity cost of ~60e7kWh in lowinsolation areas such as western Europe, and ~250/kWh in southern Europe, the USA and much of the developing world.3 These high costs for PV-generated electricity are often compared unfavourably with typical retail prices of -10-150/kWh for grid electricity, and do indeed make PV seem expensive in locations with immediate access to the grid, particularly where (as is often the case) distribution costs are subsidised. But reinforcing or extending the grid to supply increased or new demands is also expensive. The fairer question is under what circumstances the life-cycle costs of supplying a given load by reinforcing or extending the grid would exceed those of installing a stand-alone PV system to supply the same demand. In grid-connected locations, the cost of strengthening the grid to meet increased peak demands is usually concealed by cross subsidy, but can be 15-300/kWh or even more. Provision of peak electricity from a PV substation can therefore become cost-competitive where there is good coincidence between the demand peak and the solar peak. As for grid extension, it is generally cheaper to electrify an isolated village-sized community by PV than extend the grid by 5 km or more to reach it. Access to the grid is in any case not an option for 2 billion or so people (40% of world population) in the developing world. Their conventional small-power options—batteries and diesel generators—compare even less favourably with PV. The current life-cycle costs of PV systems (even with battery storage included) are only about one-tenth to one-half those of secondary batteries, and less than those of diesel generators for loads of under ~30 kWh/day. The third difficulty for PV is one faced by many emergent technologies—ignorance. It is often said that familiarity breeds contempt, but unfamiliarity breeds it too, together with scepticism over manufacturers' claims, veiled or unveiled hostility from established 3
The unit cost of PV electricity depends not only on the capital cost and lifetime of the system components, but also on the local insolation and the cost of borrowing money to finance the system. Energy costs and prices vary widely within and between countries. The costs and assertions in this section are baldly stated, but derive from the detailed costings and assessments of Chapters 15 and 17.
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M. D. Archer
suppliers and inappropriate regulatory and market structures. Even if consumers are aware of the potential benefits of PV, they can seldom buy 'plug and play' systems off the shelf, and are understandably reluctant to purchase non-standard components for one-off systems. Thus PV faces a dilemma. It is the second fastest growing energy technology in the world, but it is unfamiliar and—in the eyes of many—untested. In 1999 the global PV market grew by 31.5% {PVNews, February 2000), a growth rate exceeded only by wind power, which grew by 35% (IEA, 1999). Were a 30% growth rate to be maintained, PV would meet 1% of projected global electricity demand in 2018, and 10% in 2028. However, such a high growth rate is achievable only because and while PV is growing from a tiny base. In the USA, for example, PV currently provides less than 0.005% of total electricity consumption (KPMG, 1999). Worldwide, about 200 MWp of PV capacity was installed in 1999, and cumulative installed PV capacity is only just over 1 GWp. On average, this supplies -0.2 GWe of PV-generated power, which is only a tiny proportion of the world's current electrical consumption of ~3000 GWe. Although PV is in a virtuous cycle where costs decline as markets expand, its future growth will not be driven by market forces alone at anything like a 30% growth rate. Public policies have played an important role in the development of the industry to date. In Chapter 17, Dennis Anderson argues that further subsidy or tax incentives for PV will be economically efficient and politically justifiable so long as cost curves are declining, the level of prospective use is large and the environmental advantages are demonstrable.
1.1 Milestones in photovoltaic technology The discovery of photovoltaism is commonly, if inaccurately,4 ascribed to Becquerel (1839), who observed that photocurrents were produced on illuminating platinum electrodes coated with silver chloride or silver bromide and immersed in aqueous solution. The observation by Smith (1873) of photoconductivity in solid selenium led to the discovery of the photovoltaic effect in a purely solid-state device by Adams and Day (1877), who observed photovoltages in a selenium rod to which platinum contacts had been sealed, which they (incorrectly) ascribed to light-induced recrystallisation of the selenium. The first practical photovoltaic device—a light meter consisting of a thin layer 4
Becquerel's observation was strictly speaking a photoelectrochemical effect, but its basis—the rectifying junction formed between two dissimilar electric conductors—is the same as that of the photovoltaic effect in purely solid-state devices.
The Past and Present
5
of selenium sandwiched between an iron base plate and a semi-transparent gold top layer made by Fritts (1883)—was promoted by the German industrialist Werner von Siemens as demonstrating "for the first time, the direct conversion of the energy of light into electrical energy" (Siemens, 1885). Photometers based on selenium photocells were commercialised in Germany in the 1930s and are still in use. The selenium photocell is an example of a barrier layer cell, so called because it contains an electrical barrier that is highly resistive to current flow in one direction—a rectifying junction, in modern parlance. Two further barrier layer cells, the thallous sulphide cell (Case, 1920) and the copper oxide cell (Grondahl and Geiger,1927), were developed during the 1920s, but all had solar conversion efficiencies well below 1%. The book by Lange (1938) gives an account of these early devices. The electrical barrier of barrier layer cells was originally thought to lodge in an interfacial foreign layer of high resistivity such as an oxide, but Schottky (1938), and independently Davydov (1939) and Mott (1939), showed that a third phase was not necessarily involved. Rather, metal | semiconductor junctions could in themselves be rectifying by virtue of the space-charge layer created in the semiconductor by charge redistribution when contact was made with a metal of different work function. Metal | semiconductor devices make inefficient solar converters because their dark currents are relatively large and this diminishes the photovoltaic response. Semiconductor!semiconductor junctions a r e better in this regard. The father of the modern photovoltaic cell is Russell Ohl, a metallurgist at Bell Telephone Laboratories in New Jersey, who observed that crystallisation of a melt of commercial 'high purity' silicon produced a "well-defined barrier having a high degree of photovoltaic response" (Ohl, 1941). This barrier was in fact a p-n junction formed from the unequal distribution of impurities as the Si crystal grew from the melt. From this discovery, after a delay occasioned by World War II, grew the seminal work of Chapin et al. (1954) on the diffused p-n junction in single-crystal silicon and Bell Lab's successful drive to develop photovoltaic devices suitable for use in the infant space industry. The first p-n junctions to be reported, however, were the germanium homojunction of Lark-Horovitz's group at Purdue University (Benzer, 1946, 1947) and the quasi-homojunction formed by pressing together a wafer of lead-enriched lead sulphide with one of sulphur-enriched lead sulphide (Sosnowski et al., 1947). The modern era of silicon photovoltaics is described by Martin Green in Chapter 4, and Fig. 1.1 shows the evolution of silicon cell efficiency. Silicon (Si) is the material with which the electronics industry feels most at home, and Si single-crystal and
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M. D. Archer
32 28
NREL Multijunction concentrators T 3-junction (2-termina! monolithic) A 2-junction (2-terminal monolithic)
24 20 E
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Crystalline Si cells • Single-crystal • Multicrystalline • Thin Si
1980
AstroPower
1985
1995
2000
Year Figure 1.1
Best research cell efficiencies for single-crystal, multicrystalline and thin c-Si cells, and for
multijunction (III—V) concentrator cells. Source: Kazmerski (2000).
multicrystalline homojunction cells dominate the PV market, between them holding -80% of 1999 sales. In the past, the silicon needed by the cell manufacturing industry all came from the 10 ohm cmp-type waste material discarded by the electronics industry, which can provide sufficient good-quality feedstock silicon to make up to about 200 MWp/y of Si solar cells. The PV market is now expanding past this level, so new entrants in the field must seek new sources of silicon feedstock. Despite their longevity, reliability and environmental compatibility, crystalline silicon cells remain relatively complex and heavy devices with significant materials and fabrication costs. One drawback of Si is its relatively poor light absorption, which means that unsophisticated cells must be at least 250 pm thick to absorb all the active wavelengths in sunlight with reasonable efficiency. Surface texturisation of cells to produce light-trapping geometries allows Si cells to be made much thinner (less than 80 //m) and still perform excellently, but it is impossible to use conventional cell fabrication technology to cut such thin wafers from crystal boules. There are various ways of growing thin crystalline Si films directly, but in the past these have led to cells of only modest performance. However, the advanced silicon ribbon and film deposition
The Past and Present
7
technologies, described in Chapter 4, now promise thin Si devices of useful efficiency. Fig. 1.1 shows recent advances in thin c-Si (crystalline silicon) cell efficiency). From the 1970s, when terrestrial applications of crystalline silicon technology began to emerge, there has been a parallel effort to develop semiconductors other than Si in order to make thin-film (polycrystalline) devices of lower cost and better light-absorbing properties. The original motive for investigating thin-film cells was not, however, lower cost but their better power-to-weight ratio for space applications. The first thin-film PV device was the cuprous sulphide/cadmium sulphide (p-Cu2S/«-CdS) heterojunction, made in single-crystal form by Reynolds ef al. (1954), and in thin-film form by Carlson (1956) at the Clevite Research Center, Cleveland, Ohio. The thin-film cell excited much interest because of the simplicity of its manufacture and low intrinsic costs. Clevite Corporation mounted a major development effort on thin-film CdS technology in 1964, and several others followed suit. However, in spite of some promising results, reviewed by Hill and Meakin (1985), these cells suffered from poor stability arising from the high diffusivity of copper, and there were also serious problems in making ohmic contacts to Cu2S. Cadmium sulphide lives on, however, as the window layer of the cadmium telluride and copper indium diselenide cells, despite problems with the use of the toxic metal cadmium in what is intended as an environmentally benign product.5 The Japanese had effectively already delivered the coup de grace to Cu2S/CdS technology by the early 1980s, by commercialising small amorphous hydrogenated silicon (a-Si:H) PV panels of modest but sufficient efficiency to power small consumer goods such as watches and calculators, thus providing PV with an assured market of ~1 MW/y and the cash flow to drive further R&D. Amorphous silicon of good quality (with sufficiently few mid-gap states to be dopable either n- orp-type) had been made by Spear and Le Comber (1975) in Dundee. Independently, David Carlson and Chris Wronski, then both at RCA, made several square centimetre n-i-p andp-i-n cells of-2% efficiency (Carlson and Wronski, 1976), and smaller area MIS cells of 5.5% efficiency. The n-i-p and p-i-n cells were to be the forerunner of modern a-Si:H photovoltaic technology. The Staebler-Wronski effect, which is the -10-20% diminution of efficiency that occurs on the first prolonged exposure of a cell to light, was discovered soon afterwards, in 1977. Puzzling and unwelcome as this was, ways to mitigate its impact by using thin cells (in which this volume recombination effect is diminished) in multijunction, light-trapping structures have been successfully developed, as Wronski and Carlson describe in Chapter 5.
5
CdS also lives on in the paintings of impressionists such as Monet, whose favourite yellow pigment it was.
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M. D. Archer
While there is still a market for single-junction a-Si:H modules of modest (4-6%) stabilised efficiency in consumer applications where the cost per watt delivered is more important than the watts per unit area, they are being supplanted by dual- and triplejunction devices of much better performance. Figure 1.2 shows the evolution of a-Si:H module efficiency and Fig. 1.3 that of research-cell efficiency. The initial efficiency of the best laboratory triple-junction cells is now -15%, their stabilised efficiency is -12%, and the stabilised efficiency of commercial dual- and triple-junction modules is -10%. Amorphous Si technology has the potential for further cost reduction with the current scale-up of manufacturing facilities, and now seems poised to break into the power market.
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Figure 1.2
Evolution of efficiency of amorphous silicon modules. Source: Kazmerski (2000).
One of the problems with thin-film materials other than a-Si:H is that they are not used elsewhere in the electronics industry so there is little accumulated expertise about them. Nevertheless, two other thin-film materials, cadmium telluride (CdTe) and copper indium diselenide (CuInSe2, also referred to as CIS) are currently offering real competition to amorphous silicon in the PV field. CdTe was familiar to the semiconductor industry from its use, in very pure crystalline form, as a photoconductive y-ray detector. Although it can be doped both n- and p-type, it is hard to make an efficient p-n homojunction CdTe cell because of the difficulty of forming a shallow
9
The Past and Present
junction with an active top layer in the face of the material's high surface recombination velocities. The way forward has proved to be the «-CdS/p-CdTe heterojunction cell, in which CdTe forms the active, light-absorbing base layer and CdS the front window layer. This device structure combines good optical transparency with sufficiently close lattice and thermal matching to form a 'good' (spike-free) junction to CdTe, albeit after a special activation process. Single-crystal w-CdS//?-CdTe cells of up to 8% efficiency had been prepared in the 1970s (Saraie etal., 1972; Yamaguchi etal, 1977; Mitchell etal, 1977), but the CdTe cell really came into its own in polycrystalline form. Both CdS and CdTe can be laid down as good quality thin films by methods such as sublimation, vapour deposition and electrodeposition. Development efforts from the mid-1970s onwards have improved thin-film CdTe cells to the point where the best laboratory cells are -16% efficient (see Fig. 1.3), and new commercial ventures, described by Dieter Bonnet in Chapter 6, are offering CdTe modules of 8-10% efficiency as an alternative to a-Si:H. 20
16
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Culn(Ga)Se 2 CdTe o a-Si:H (stabilised)
Univ. of S. Florida '
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I 1975
1980
1990
1985
1995
2000
Year
Figure 1.3 Best research cell efficiencies for thin-film polycrystalline CdTe, CuIn(Ga)Se2 and a-Si:H cells. Source: Kazmerski (2000).
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M. D. Archer
Copper indium diselenide has a high optical absorptivity compared with most other semiconductors. Although, like CdTe, CIS can exhibit both n- and p-type conductivity arising from intrinsic defects, it is better used in the p-type form in a heterojunction device with an «-CdS window layer. 12% efficient single-crystal heterojunction nCdS/p-CuInSe2 cells were made by Wagner et al. (1974) and Shay et al. (1975), and thin-film cells of 4-5% efficiency quickly followed (Kazmerski, 1976). By the end of 1980s, commercialisation efforts by Arco through its subsidiary Arco Solar had achieved thin-film CIS modules with areas of up to 1 x4 ft2 and -10% efficiency. Persistent problems with the process yield were later overcome by control of sodium impurities in the CIS film and improved junction fabrication processes. The pioneering work of the EuroCIS consortium in the early 1990s resulted in significant efficiency increases to -16%, and the US National Renewable Energy Laboratory (NREL) has recently reported an 18.8% efficient cell (see Fig. 1.3). Current commercialisation efforts with different techniques for the deposition of the CIS film are underway in the USA, Germany and Japan, as described by Uwe Rau and Hans Schock in Chapter 7, aiming at module efficiencies above 15%. The space hardness of CIS is superior to that of GaAs and InP, and space applications are also being pursued. Gallium arsenide (GaAs) is a younger and faster semiconductor than silicon, valued in the optoelectronics industry for the high hole mobility of the «-type material. A PV effect in GaAs p-n homojunction was first reported by Welker (1954), followed a year later by Gremmelmaier (1955), who obtained - 1 % efficiency in a poly cry stallinep-w homojunction cell. The first efficient (>6%) p-n GaAs device was the monocrystalline cell of Jenny et al. (1956). The /?-AlGaAs/w-GaAs heterojunction cell was reported by Alferov et al. (1971), and the p- AlGaAs/p-GaAs/«-GaAs heteroface cell, which quickly achieved an AMI efficiency of 15.3%, by Woodall and Hovel (1972). From then on, the story of GaAs for space applications is taken up by Chris Hardingham in Chapter 13, and its use in conjunction with other III-V semiconductors in high-efficiency tandem cells is described by Masafumi Yamaguchi in Chapter 8 (Fig. 1.3 shows some recent efficiency records). Organic semiconductors have in the past been plagued by high resistivity and poor reproducibility, leading to very disappointing efficiencies of <0.1% in all-organic thinfilm cells. There has been recent dramatic improvement, with the successful development of high-quality dopable polymers for LED displays and other optoelectronic applications. Jonathan Halls and Richard Friend describe the new generation of organic cells, based on co-blends of these polymers and now approaching 3% efficiency, in Chapter 9. Other advanced concepts that promise improved efficiencies are quantum-well cells, discussed by Jenny Nelson in Chapter 10, and thermophotovoltaics, covered by Tim Courts in
The Past and Present
11
Chapter 11. Concentrator cells and systems, described by Antonio Luque in Chapter 12, are at an early, pre-commercial stage of development but merit more attention in that they could undercut flat-module arrays on costs if a market (estimated by Luque at 10 MWp/y or more) for them existed.
1.2 Evolution of the PV market PV technology and markets have developed fitfully against a shifting background of energy policies and perceptions. The initial impetus that brought PV into being in the 1950s was the need for electrical power in space, where performance was crucial and cost irrelevant. By the early 1970s, PV was still too expensive to benefit from the flurry of anxiety (misplaced, as it turned out) about the imminent depletion of fossil fuel reserves inspired by the Club of Rome. Following the oil price hikes of 1973 and 1979, the main driver for PV became energy costs, with the inevitable result that investment slumped when the price of oil dropped in the mid-80s in response to the weakening of energy cartels, the discovery and exploitation of new oil and gas resources and the competitive pressures of utility deregulation and privatisation. Since then, the low price of oil, which currently accounts for about 40% of world commercial energy supplies, has held back the market growth of PV (and other renewables). In 1998, the price of oil collapsed further following increases in oil supply, and recession in South East Asia and the FSU; 1999 prices fell as low as $12 per barrel. In the course of year 2000, the price of oil has risen sharply to ~$35 per barrel, as OPEC (excluding Iraq) and key non-OPEC producers Mexico and Norway have implemented plans to cut oil production. It remains to be seen whether this price level will be sustained. Cost reduction remains key to the future—as to the past—growth of PV. In 1970, PV cells for use in space cost several hundred dollars per peak watt. By the mid-1970s, the efforts of Elliot Berman and his Solar Power Corporation (backed by Exxon) had reduced the cost of cells made specifically for terrestrial applications to $20/Wp. Since then, the cost of crystalline silicon modules has fallen to its current level of ~$4/Wp, and module lifetimes in excess of twenty years have been demonstrated. Successive markets have opened up for PV along the way, as discussed by Bernard McNelis in Chapter 16. In round terms, the RAPS (remote area power supplies) market opened up in the 1980s at module costs of $10/Wp. Solar lighting in grid-remote locations opened up in the early 1990s at $5/Wp. The BIPV (building-integrated photovoltaic) cladding market would open up at module costs of $3/Wp, and grid-connected applications at ~$1/Wp.
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Several studies, discussed by Nicola Pearsall and Bob Hill in Chapter 15, have shown that mass production would bring module costs down to these levels, even with no further improvements in cell performance. Larger PV manufacturing facilities are being constructed today than hitherto, but even these have capacities of only -20 MWp/y. Much larger plants still would be needed to capture the remaining economies of scale—wafer silicon modules could be produced for $1/Wp in a plant of 500 MWp/y capacity, and thin-film modules for only $0.6/Wp in a plant of 100 MWp/y capacity (KPMG, 1999). But the global market for PV would have to grow by an order of magnitude from its current volume of about -200 MWp/y to justify investment in plants of this scale. In Chapter 18, Erik Lysen and Beatriz Yordi consider how the PV market might evolve towards this size. The cost of PV system comprises the cost of the module itself plus the costs of BOS (balance-of-system) components such as power conditioners, wiring and inverters. Present BOS costs are around $3-4/Wp without battery storage, and market expansion and a continued R&D drive would be needed to bring them down to $1/Wp. The further development of inexpensive module inverters that can handle thin-film modules as well as crystalline silicon modules would be helpful in this context. The battery storage needed for stand-alone PV systems adds considerably to BOS costs. Battery costs obviously depend on the amount of storage required, with 3—4 days storage being typical of home systems and 10 days or more for communications and essential power supplies. To provide 3—4 days storage in sunny areas (which receive the equivalent of about 4-5 'peak hours' of sunlight per day), battery capacity of-15 kWh per kWp of PV capacity would be needed. Lead-acid batteries cost 150-200 $/kWh, so this would add $2/Wp to capital costs if the batteries were as long-lived as the PV modules. Unfortunately they are not, and allowing for this the effective addition would be about $3/Wp. In less sunny areas and where more storage capacity is required, battery costs rise proportionately, to perhaps $10/Wp for high-specification systems. These high battery costs, and the weight, chemical hazardous nature and maintenance requirements of lead-acid batteries are, it must be said, unattractive aspects of PV/battery systems. The development of inexpensive, long-lived, environmentally friendly batteries, or other means of storing electricity economically, would be helpful to PV. Ron Dell discusses the important topic of electricity storage in Chapter 14. The price of a PV system to the end user contains not only manufacturing costs, but also marketing costs, sales taxes and (sometimes) import duties, as well as distributors' costs and profits. While competition is the best way of avoiding excess cost-price differentials, the industry will not grow sustainably unless it is profitable. Against this background, the goals set in 1999 by the US PV Industry Roadmap (Roadmap, 1999),
The Past and Present
13
of end-user prices of $3 per watt AC in 2010, and approaching $1.50 per watt AC in 2020, must be regarded as quite challenging. In Chapter 17, Dennis Anderson discusses the most economically efficient ways of growing the market to achieve further economies of scale and bring PV to commercial viability in major new markets. One necessary ingredient will be continued public investment (that is, subsidy). Public expenditure on PV, although generally rising since the early 1970s, has been at the mercy of changing political priorities. President Carter arguably put too much money—$173 million—into PV in his final year in office, which was in part responsible for the 'Reagan effect' on subsequent renewables funding in the USA. Cumulatively, the USA and Japan have made the greatest public investment in PV, spending $1.5 bn and $1.25 bn (¥140.1 bn) respectively over the period 1975-1997 (Palmers et ai, 1998). Over almost the same period, 1975-1998, the European Union and its member states spent some $300-350 million (300-350 million ECU). National PV programmes vary widely. Japan, with no indigenous fuel sources, has the most vigorous government programme, spending $180 million (¥20 bn) in 1997 (PV-UK, 1999). Germany, where the Chernobyl accident of 1986 cast a particularly long shadow, has increased public support for PV sharply in recent years, spending $49 million (DM 97 million) in 1996. The Netherlands, Switzerland, India, Brazil and Mexico also have sizeable national programmes. The USA government spends roughly the same as Japan and Germany on R&D, but far less on commercialisation: $3 million in 1997 compared with $109 million by Japan and $45-50 million by Germany (SIJ, 1998). As for the UK, government support for PV is recent and modest, amounting to about $4.5 million (£3 million) in 1999. The scale of private investment in PV is hard to assess. Certainly it has lagged behind public programmes in the past, and the industry has not historically been profitable for its shareholders. Currently the most profitable PV companies are those offering 'vanillaflavoured' technology to the consumer market. The PV divisions or subsidiaries that several oil multinationals, such as BP Amoco, Shell and Siemens, have nurtured over two decades or more, have considerable investment costs to recoup. The recent spate of consolidation and mergers led by these companies is encouraging, in that they could fund rapid expansion in PV manufacturing capacity if market demand grew. Meanwhile, regulatory and market trends that should make PV (and other renewables) more attractive are discernible. The Rio and Kyoto agreements aimed at the progressive reduction of carbon dioxide emissions by developed countries, while as much honoured in the breach as the observance, are nonetheless hardening support for the renewables. A large number of countries, including most countries in the OECD and several developing countries, have introduced tax or regulatory policies that favour the
14
M. D. Archer
renewables. In many countries with liberalised electricity supply industries, modest renewable set-asides (requirements on major utilities to source some power from renewables) are in place or under consideration, and the right to supply power to the grid is being extended to independent power producers (IPPs), sometimes with incentives to source electricity from renewable sources. IPPs can site their plant close to the consumer and avoid the costs of distribution, often as significant as the costs of generation. At the same time, PV is (slowly) being made more attractive to the end user by the introduction of net metering and green electricity tariffs and the removal of cross subsidy of the costs of peak-load generation and electricity supply to rural locations. New environmental and social drivers for PV are apparent in these trends. Developed nations with a high sensitivity to energy security and the environment can afford to be concerned about greenhouse gas emissions, global warming and urban air quality. The attractions of 'green' buildings and back-up uninterruptible power in grid-connected locations can be enhanced by financial sweeteners, and the capital costs of providing distributed power in grid-remote locations met. The developing world, with its rudimentary electrical service, debt burdens and low standard of living, could derive great benefits from clean distributed PV power. The international funding agencies that can help developing countries are well aware of the benefits of PV, and are developing innovative ways of providing the necessary capital. It is perhaps in the newly industrialising nations, where economic growth is the imperative and the (economically unjustified) subsidy of electricity generation from fossil fuels and/or nuclear to support that growth endemic, that the position of the renewables is rendered the weakest. A principal aim of the energy market liberalisation and regulatory reform now in train in many countries is to 'level the playing field' by removal of subsidies for nuclear power, fossil fuels and grid supplies. A second step, now being taken in several countries, is to support for the development and demonstration of renewable energy projects, this being justified in terms of their environmental advantage and long-term economic potential.
1.3 Overview of photovoltaic cell operation This book aims to present an in-the-round approach to PV, touching on all aspects from the choice of semiconductor materials through system design to public policy issues. But PV cells themselves and how they work form its main subject matter. By way of introduction to the detailed treatments of cell physics and design of Chapters 2 and 3, and the sequence of materials-based chapters beyond, we therefore conclude this chapter with an account of the main PV cell types and the basic principles of cell operation.
15
The Past and Present
1.3.1 The p-n homojunction cell All PV cells work in essentially the same way. They contain a junction between two different materials across which there is a 'built-in' electric field. When the cell absorbs light, mobile electrons and holes are created. These flow in opposite directions across the junction. In this way the flow of absorbed photons is converted into a flow of DC power from the illuminated cell. front grid
AR (antireflection) coating -^
/ ^ ^ M / / M m M M y % M M y * //////////////^
n-type top layer p-type base layer
Figure 1.4
backcontact
p-n
_> *
S. ^ ^
serial
connections tobackcon,aclof
next c e
"in
module
junction
The essential features of ap-n homojunction Si solar cell.
The crystalline silicon (c-Si) cell has a simple junction structure, and provides a good model in which to explore the PV effect. Figure 1.4 shows the essential features of these cells, which are typically square or rectangular wafers of dimensions -10 cm x 10 cm x 0.3 mm. The top (emitter) region is a -0.5 /mi thick layer of «-type silicon, and the base region is a -300 ftm thick layer of p-type silicon.6 The work function of the p material is greater than that of the n material, so the two layers reach electronic equilibrium (in the cell at open circuit in the dark) by the transfer of some electrons from the n to the/? side. The structure as a whole remains electrically neutral, but the junction region contains an electric double layer, consisting of two space-charge regions or depletion regions (DRs), as shown in Fig. 1.5. The depletion regions are typically less than a micron thick, and the charges they contain are those of the ionised dopants (P+ and B~ in the case of c-Si). Beyond the base-layer DR in the c-Si cell (and some other cells) lies a quasineutral region (QNR)—a region that contains no space charge.
6
c-Si cells are always configured n-on-p because this best suits the properties of silicon, but some othep-/i cells are configuredp-on-n. These cells are also quite thick, because c-Si absorbs light relatively weakly. Most other cells are much thinner.
16
M. D. Archer front grid «
AR coating
\3
top layer junction -* base layer
•n- —n
p-DR
/ \ n
n
n
n| space-charge region
+ + + + +
\ back contact y
\
n-DR
n-QNR
Figure 1.5 Cross section through ap-n homojunction cell, showing the electrical double layer consisting of ionised dopant atoms (denoted + and -) in the junction region, the two depletions regions (DRs) that contain equal and opposite quantities ofjunction charge, and the base-layer quasineutral region (QNR).
o
The Sun
electrons
n layer junction player
'free' electron hole-electron pair created by photon absorption
Figure 1.6
holes
Generation and movement of free carriers in ap-n junction solar cell.
Figure 1.6 shows what happens in the illuminated c-Si cell. The absorption of photons of energy greater than the band-gap energy of silicon promotes electrons from the valence band to the conduction band, creating hole-electron pairs throughout the illuminated part of the cell, which in c-Si cells extends well into the base layer. In c-Si and most other semiconductors, these hole-electron pairs quickly dissociate into 'free' carriers—mobile holes and electrons that move independently of each other.7 Those free carriers that approach the junction come under the influence of the built-in electric field, which sweeps electrons from the p to the n side, and holes from the n to the p side. ' In some semiconductors, particularly organic semiconductors, hole-electron pairs remain tight-bound, and are then referred to as excitons.
17
The Past and Present
1.3.2 Junction structure and dark current The electric double layer at the p-n junction has an important effect on the semiconductor energy levels, as shown in Fig. 1.7. The separate (uncharged) phases (Fig. 1.7a) have the same conduction and valence band-edge energies L/c and U„, separated by the forbidden gap U^, but different work functions &p and
p-QNR
p-DR
electron energy
hole energy
metallurgical interface (a)
(b)
Figure 1.7 Energy band structure of a p-n homojunctlon in the dark: (a) in uncharged blocks of p-type and n-typc semiconductors before contact, showing the conduction and valence band-edge energiest/c and (/,., the forbidden gap Ug and the Fermi levels /ip and p {! (red dashed lines) in then andp phases; (b) across the p-n homojunction after contact and equilibration of the two phases, showing the electric double layer formed by transient charge transfer, the depletion regions (DRs) and quasineutral regions (QNRs) and the common Fermi level p F throughout the device.
is the same throughout the device but the band-edge energies Uy and Uc (in common with all the energy levels of the semiconductor) bend across the junction in response to the local electric field. Inspection of Fig. 1.7 shows that the equilibrium band-bending energy is qVh" is related to the difference in the work functions of the (separate, uncharged) materials by
iK = * „ - * ,
(i.i)
* The Fermi level is the energy for which the probability of a state being occupied by an electron is exactly onehalf. In an intrinsic (undopcd) semiconductor, the Fermi level falls in the middle of the forbidden gap. In a lightly doped semiconductor, the Fermi level remains within the forbidden gap but is near the majority-carrier band edge. In a heavily doped semiconductor, the Fermi level lies within the majority-carrier band.
18
M. D. Archer
Since the Fermi level in a doped semiconductor normally lies within the forbidden gap but near the majority-carrier band edge, qVb° is normally slightly smaller than the bandgap energy Ug. . o o.rtic
W
/'"I7vj
T\_
'h.gen .
Ih.gen • ' • - . . . >
(c)
(b)
(.-i)
Figure 1.8 Darkp-n homojunction cell in the dark (a) at equilibrium; (b) under forward biasF,; (c) under reverse bias Vj, showing the generation and recombination currents as dotted lines and the Fermi levels as red dashed lines.
Figure 1.8 shows how the band bending is affected and a current is caused to flow when a bias voltage Vj is applied across the cell in the dark. At equilibrium (Fig. 1.8a), no net current9 flows through any part of the cell. However, small, balanced tluxes of electrons in the conduction band and holes in the valence band pass each way across the junction. These are referred to as generation and recombination currents. The {thermal) generation currents ih and ie shown in Fig. 1.8a come from the minority carriers (electrons in the p side and holes in the n side) generated throughout the device, albeit at a minuscule rate, by thermal excitation. Those minority carriers that reach the junction without recombining are swept across it in opposite directions by the strong electric field. The recombination currents i£nc and i°rec also shown in Fig. 1.8a come from majority carriers (holes in the/? side and electrons in the n side) that flow 'up' the bandbending barrier (this is energetically unfavourable, but entropically favourable because the carriers move from a region of high to low concentration). At equilibrium, the generation and recombination currents in each band exactly balance each other. The sum of the hole and electron thermal generation currents is called the saturation current density /'„ of the junction. o
h.Ren
e.gen
h.rec
e.rev
'All the currents given the symbol i in Figs. 1.8-1.10 are strictly speaking current densities.
(1.2)
19
The Past and Present
When a forward10 bias voltage Vj is applied across the junction of the dark cell, the barrier height is reduced to q Vb = q( Vb° - Vj), as shown in Fig. 1.8b. This does not affect the generation currents, but it strongly increases the recombination currents. The net current across the junction, which is the difference between the recombination current and the generation current, is called the dark current or junction current zj. >j(Vj) = ih,rec(Vj)
+ i
e,rec(Vj)-kgen-ie,gen = W P
+
K.JVj)
~ ' \rec ~ ' °e,rec 0
-3)
When a reverse bias (Vj < 0) is applied, the barrier height is increased to qVb = <7( K°+ I V}• I ) . a s shown in Fig. 1.8c. The generation currents are still unaffected, but the recombination currents are now suppressed. Thus only the very small, bias-independent saturation current passes. /\(F<0)=-/o
(1.4)
The dependence of the recombination currents ihrec{V) and ierec(V) on Vj is determined by the dominant recombination mechanism of the carriers injected into the junction. In most cells, the dark current-voltage characteristic conforms well to the empirical diode equation ijiVj) = / 0 [ e x p ( ^ K / ^ 7 ) - l ]
(1.5)
where fi is called the diode ideality factor. For an ideal junction, in which no injected carriers recombine in the junction, fi = 1. For a non-ideal junction, in which some carriers do recombine in the junction, 1 < fi < 2. For some cells, particularly thin-film ones, eq. 1.5 is better written as the double diode equation ij(Yj) = ^[expiqV/kT)-
1] + / o 2 [ e x p ( ^ F / 2 ^ ) - 1]
(1.6)
where the first term corresponds to carriers that move across the junction without recombining, and the second to the carriers that recombine in mid-gap. Regardless of the exact form of the diode equation, all PV cells behave as rectifiers in the dark, showing highly non-linear current-voltage characteristics similar to that labelled 'dark' in Fig. 1.10. Junctions must show rectifying properties in the dark if they are to show photovoltaic properties in the light.
10
Forward biasing a junction means applying a voltage across the device that lowers the band-bending barrier. Reverse biasing means applying a voltage in the opposite direction.
?.()
M. D. Archer
1.3.3 The illuminated cell
(a)
(b)
Figure 1.9 Illuminated p-n homojunclion cell (a) at open circuit; (b) at short circuit, showing the photogeneration of hole-electron pairs and photocurrents in red, and the Fermi levels as black dashed lines.
When a PV cell is illuminated, a photocurrent and photovoltage are generated. Figure 1.9 shows how this happens, again using the example of ap-n homojunction cell. Absorption of photons of energy greater than the band-gap energy of the semiconductor creates excess minority carriers throughout the illuminated region of the cell (the light intensity in the cell interior falls off exponentially with distance into the cell, but often it penetrates into the base layer). The photogenerated minority carriers in the illuminated cell behave like the much smaller population of thermally generated minority carriers in the dark cell. That is, they diffuse from the QNRs towards the junction, where they are swept across it by the strong junction field. These fluxes of photogenerated minority carriers give rise to the photogeneration currents ie h and /'/; . shown in Fig. 1.9a, consisting respectively of photogenerated electrons drifting from the p to the n side of the junction and photogenerated holes drifting the other way. The sum of the two is the overall photocurrent /^.
The photocurrent is directly proportional to the absorbed photon flux but independent of bias (provided that the junction field is always high enough to sweep carriers across the junction). At open circuit (Fig. 1.9a), no current is drawn from the cell and the photocurrent must be balanced by the recombination current. The junction self-biases in the forward direction by the open-circuit voltage V^, at which point the recombination (junction) current exactly opposes the photocurrent, i.e.
21
The Past and Present
As shown in Fig. 1.9a, qVx is the difference between the Fermi levels on the two sides of the junction. Since metal contacts always equilibrate with the local majority carrier Fermi level, Vx is an observable output voltage. Figure 1.9b shows what happens when the illuminated cell is short-circuited. The cell delivers maximum current but at zero output voltage. Provided internal resistance effects are negligible, the junction bias Vj is also zero, so the band bending is the same as in the dark junction at equilibrium." The short-circuit current is given by (1.9)
' « = I'nfcl " «„
Under closed-circuit conditions, the band bending and junction current are intermediate between the open-circuit and short-circuit cases, and the cell delivers current / at output voltage V~Vj, where / is given by / = i ph
-w
(1.10)
Provided the photocurrent ;^, is bias-independent, the current-voltage characteristics of the dark and illuminated cells will therefore show superposition. That is, they will map onto each other, but the latter will be shifted down with respect to the former by the constant amount i/lA, as shown in Fig. 1.10.
maximum power point
Figure 1.10 Current-voltage curves in the dark and the light for a cell that shows superposition (i.e. one in which the photogenerated current is bias-independent), showing the short-circuit and maximum-power currents ix and /mp, the open-circuit and maximum-power voltages V^ and V and the maximum power point (•).
"If the cell has significant internal resistance, the output voltage Kdrops below the junction voltage V;, and a small forward bias remains across the junction when the cell is short-circuited.
M. D. Archer
22
Superposition is an idealisation that is seldom accurately obeyed. Clearly it is not to be expected where the photocurrent is bias-dependent, which can happen for a number of reasons. In the amorphous silicon cell, for example, the field in the junction region is weak and the extent of recombination in it bias-dependent. Cells operating in the highinjection mode, where the concentration of photogenerated minority carriers becomes comparable with that of the majority carriers, do not show superposition because the majority-carrier concentrations and fluxes are not then the same in the light and the dark. Cells with significant internal series resistance or shunt conductance also depart from superposition.
1.3.4 Cell current-voltage characteristics The current-voltage characteristic of the illuminated cell is found by substituting eq. 1.5 into eq. 1.10. Assuming superposition and negligible internal resistance effects, the current-voltage characteristic is given by i = k-i 0 [exp(<jrK/P*7)-l]
(1.11)
The output power is the product iV, is the area of a rectangle of sides / and V inscribed in the i—Vcurve. The power is zero for both the open-circuit and short-circuit conditions. The maximum-power condition is reached where the area/mpFmp (shaded in Fig. 1.10) is a maximum. The fillfactor rjm is a measure of the squareness of the i-V curve and is defined as na] - ^ s sc
(i.i2) oc
In efficient cells, the fill factor is around 0.7-0.8. In poor cells, it can be 0.5 or lower. By setting / = 0, V= V^ in eq. 1.11 and rearranging, the open-circuit voltage of the illuminated cell is found as
V
= ^ l n
OC
q
pkT In
>ph
(1.13)
The Past and Present
23
For good performance, iph and V^ must be as large as possible. The maximum value of iph would be obtained if all photogenerated electron-hole pairs were collected as photocurrent, and iph can achieve 80-90% of this limit if light absorption and minority carrier collection are both highly efficient. The limiting value of Vx is the built-in voltage K6°, corresponding to complete flattening of the bands across the junction. This could only happen under extremely intense illumination, and 1 Sun Vx values are usually no more than -0.7 V^. For a high open-circuit voltage, FA° should be as large as possible given the band gap of the semiconductor, so the work function difference between the two sides of the junction should be as large as possible. Inspection of eq. 1.13 shows that V^. increases as the saturation current /0 decreases. Interestingly, i0 has no absolute minimum value. In thin cells with well-passivated surfaces, z0 can be driven down toward zero, and V^ towards its upper limit of v£. In thicker cells in which volume recombination occurs, the lower limit on i0 is determined by the rate of radiative recombination of minority carriers. Usually nonradiative recombination also occurs and this raises i0 by several orders of magnitude, and lowers VK accordingly.
1.3.5 Cell efficiency The maximum-power solar conversion efficiency ^mp of a solar cell (often called simply the cell efficiency) is defined as i
V
i V
where £„s (watts per unit area) is the incident solar irradiance. Since iph normally increases in direct proportion to £0S, while Vx increases as In iph (eq. 1.13), it follows that rjmp should increase logarithmically with irradiance, other factors being equal. This is observed for solar concentrations of up to several hundred Suns for some cell types, though ultimately the series resistance of the cell and the increased operating temperature will limit the efficiency increase obtainable by using concentrated sunlight. Most commercial PV cells have (1 Sun) efficiencies in the range -8-18%. The best laboratory cells have higher efficiencies, now up to -24% for a single-junction device. Establishing the theoretical limits of cell efficiency is of considerable practical importance. Since PV cells are direct conversion devices, they are not subject to the
24
M. D. Archer
Carnot limits that control the efficiency of heat engines. Nevertheless, there are constraints on PV cell efficiency. The major constraint comes from the poor match between the broadband spectral distribution of sunlight and the single band gap Ug of a given semiconductor. Solar photons of energy U < UB are not absorbed in the semiconductor (or if they are, they do not create hole-electron pairs). Photons of energy U z Ug can be absorbed and create hole-electron pairs, but their initial 'excess' energy (U-UB) is very quickly lost by thermalisation, that is, dissipation as heat via carrier-phonon collisions. The band gap of the photoactive semiconductor determines the upper bound on both the open-circuit voltage Vx and the short-circuit current ix. A large-bandgap cell has a larger VK than a small-bandgap one, but it absorbs fewer solar photons so it has a smaller ix. The 'detailed-balance' limiting efficiency of an 'ideal' isotropic single-junction cell12 of optimal band gap U%~ 1.4 eV is -32%. In real cells, 'non-ideal' loss mechanisms—for example, nonradiative recombination of carriers in the cell interior or at junction defects or cell surfaces—lower the efficiencies below the detailed-balance limit. The route to high efficiency in a single-junction cell lies in eliminating these non-ideal losses as far as possible. This is in large measure achieved in high-efficiency c-Si and GaAs cells. An alternative route is to stack two or three single-junction devices on top of each other so that each absorbs the portion of the solar spectrum best suited to its band gap, and the loss of energy from carrier thermalisation is diminished. This is the approach taken in multijunction a-Si:H and III-V cells. More ambitiously, if thermalisation losses could be avoided altogether, very high efficiencies of over 80% could be achieved. Green (2000) has proposed a number of 'third generation' device designs, such as hot-carrier and thermophotonic cells, that in principle do avoid thermalisation, and has instigated a programme to bring these to 'proof-of-concept' level.
1.4 Other junction types The p-n homojunction examined in the preceding section is not only the simplest type of photovoltaic junction, but also the most common, being that found in crystalline silicon cells, junction type, but there are others. Figure 1.11 shows how the conduction and valence band-edge energies Uc and U„ and the Fermi level // F , vary across the main junction types encountered in solar cells. 12
An ideal isotropic cell is one in which electrons and holes are thermalised to the band edge, the only decay channel for excited states is radiative recombination, and light can enter the cell at all forward angles.
7.5
The Past and Present
M (e)
I (f)
S (9)
Figure 1.11 Common PV junction types. (a)p-n homojunction, formed within a single semiconductor of band gap Ug; (b) p-i-n junction, formed within a single semiconductor of band gap Ug; (c) anisotype P-n hctcrojunction formed between semiconductors of band gaps Ugl and Us2, showing a valence-band spike hUv and a conduction-band notch AUC; (d) P'-p-n heteroface junction; (e) MS junction between a metal M and an n-type semiconductor S; (f) MIS junction with a thin layer of an insulator I interposed between M and S; (g) organic cell containing an organic co-polymer blend between a top transparent conducting oxide (TCO) electrode and a metal electrode M. All these junctions arc shown at equilibrium in the dark, so the Fermi levels, shown by the red dashed lines, are the same throughout each junction.
26
M. D. Archer
Homojunctions (Fig. 1.11a) are p-n junctions formed by the creation of adjacent p- and «-doped regions in the same semiconductor, of band gap Ug. Homojunction cells have the advantage that the junction, which is typically about 0.1 //m wide, can be formed in an almost defect-free state within a single crystal (or crystallite of a polycrystalline material). Outside the junction region, there is no electric field to assist carrier collection, so the movement of carriers to the junction must rely on diffusion. Good minority lifetimes are therefore necessary, particularly in an indirect-gap material like silicon. The number of semiconductors that can be satisfactorily doped both n- andp-type is limited, but they include Si, as well as GaAs and InP. p-i-n junctions (Fig. 1.11b) are junctions of extended width (-0.5 /an) formed by interposing an intrinsic (/") layer of the undoped semiconductor between/?- and w-layers of the same semiconductor. The /-layer behaves like a capacitor, effectively stretching the electric field of an ordinary p-n junction across itself. The extended electric field throughout the /-layer, which is where most of the light is absorbed, aids in the collection of photogenerated carriers by adding a component of drift (migration in an electric field) to their normal diffusive motion. This is the junction type in amorphous silicon (a-Si:H) cells, and it was adopted because the high density of states and traps in this disordered material causes carrier mobilities to be low. Heterojunctions (Fig. 1.11c) are junctions formed between two chemically different semiconductors with different band gaps. The larger band-gap material is often denoted by writing its conductivity type as upper-case N or P, and the smaller band-gap material by a lower-case letter. In the frontwall configuration, the top layer is the main lightabsorbing layer, and light enters through its front surface. In the backwall configuration, the top layer is an optical window material of wide band gap through which light passes to enter the light-absorbing base layer at the junction. Heterojunctions may be anisotype, meaning that the two semiconductors have opposite conductivity types, or isotype, meaning that they have the same conductivity type. The advantage of this junction type is that it allows semiconductors which have good light absorption and carrier lifetime properties, but which can only be doped n- or p-type, to be used in solar cells. Its disadvantages are first, that any significant lattice mismatch between the two materials creates numerous junction defects, which diminishes the photovoltage, and second, that the energy band mismatch between the two materials creates notches or spikes in the junction band-edge profile. Figure 1.11c shows a poor junction with a pronounced valence-band spike, which would seriously impede the collection of photogenerated holes from the «-semiconductor. The two most successful heterojunctions for PV
The Past and Present
27
applications, H-CdS/p-CdTe and «-CdS/p-CuInSe2, are both N-p anisotype backwall devices with good lattice matches between the two materials, and favourable band alignment with no spike presented to carriers arriving at the junction. Heteroface junctions or buried homojunctions (Fig. 1.1 Id) have ap-n homojunction fronted by a highly conducting window layer (face) semiconductor of larger band gap (L^, > Up). This window layer, although not photovoltaically active, is beneficial. As well as acting as current collector from the top layer, it passivates its surface and minimises front-surface recombination. The ^-Al^Ga^jAs/p-GaAs/w-GaAs cell is an important example of this cell type. An unprotected p-n GaAs homojunction would not make an efficient solar cell because the top layer of this direct-gap material must be very thin to allow light to penetrate to the junction region, and this would entail serious loss of photogenerated carriers at the unpassivated front surface. Surface junctions are formed when a phase of very high carrier density (a metal, degenerate semiconductor or a concentrated electrolyte solution) makes contact with a phase of much lower carrier density, usually a moderately or lightly doped semiconductor. The charge on the highly conducting side of the junction then lies virtually 'in' the interface whereas that on the poorly conducting side is spread out over a spacecharge layer as usual. All the band bending and potential drop then occurs on the side of the poor conductor. Photovoltaically active metal-semiconductor (MS) junctions can be made by choosing a metal and semiconductor of such work functions that the semiconductor is in depletion,3 as shown in Fig. 1.1 le. If the semiconductor surface at the MS interface is sufficiently defect-free, a Schottky barrier is formed, in which the barrier height is purely determined by the difference in work function of the two materials. If the density of semiconductor surface states is greater than ~1017 m"2, a Bardeen barrier is formed in which the surface states contain most of the charge in the semiconductor. Schottky behaviour makes for greater band bending and is preferable. Surface junctions are encountered in a number of guises. Depositing a thin (-10 nm) translucent coating of M onto the surface of S makes an MS cell that can be illuminated through the metal. Conversely, depositing a thin layer of semiconductor (say, an organic pigment) onto a metal electrode can make an electrode assembly with photovoltaic activity. Semiconductor/electrolyte solution junctions are also surface junctions, in which the electrolyte solution plays the role of the metal in an MS junction. These can perform very well as photoconversion devices, since their dark currents are usually very small 'Rather than in accumulation, which would create a photovoltaically inactive ohmic contact.
28
M. D. Archer
and the achievable photovoltages are therefore high. For example, the Gratzel cell (Gratzel, 2000), which contain a dye-sensitised Ti0 2 /I 2 ,1 junction, has an open-circuit voltage of -0.7 V.4 However, the dark currents of true MS devices (which are determined by thermionic emission from the metal) tend to be large, and the photovoltages correspondingly poor. A better device may be made by interpolating a very thin (<2 nm) layer of an insulator (I) between the metal film and the semiconductor to make an MIS junction (Fig. 1.1 If). The I layer impedes thermionic emission and improves the photovoltage without detriment to the photocurrent. Organic cells (Fig. 1.1 lg) typically contain one or two thin organic layers sandwiched between a transparent electrode and a metal. Organic materials do not support a space charge. Consequently such cells behave electrically like capacitors, and the band-edge energies drop linearly across the organic layer(s). Photon absorption generates excitons rather than free carriers. These generally dissociate only at an electrode or at the junction between two dissimilar organic layers. Organic materials have forgiving interfaces with no surface states to cause recombination, so the cell constituents may be co-blended to create interfaces throughout the device and increase the chance of exciton formation within a diffusion length of the nearest junction.
1.5 Sources of further information There are many places (apart from the rest of this book) where the interested reader can go for more information about PV. Within the last decade, books by Lorenzo (1994), Markvart (1994), Green (1995) and Wenham et al. (1995) have covered the fundamentals and applications of PV. Partain (1995) provides an excellent compilation of essays by a number of authors, and Perlin (1999) an absorbing account of the history of the field. Bube (1998) discusses photovoltaic materials, and Messenger and Ventre (1999) the engineering basis for solar power generation. More topical information can be found in specialist journals and conference proceedings. There are two newsletters devoted to photovoltaics: PV Insider, published by Richard Curry (www.pvinsider.com) and PV Energy, published by Paul Maycock (www.pvenergy.com). Table 1.1 lists some other useful PV websites.
4
Gratzel cells, in common with other photoelectrochemical devices, will be dealt with in Volume III of this series.
The Past and Present
Table 1.1
29
Selected websites dealing with photovoltaics
energy.sourceguides.com/businesses/byP/solar/pvM/byN/byNameB.shtml PV businesses around the world by name, with links to manufacturers' websites. www.pvpower.com Jobs, training and events in PV. www.ises.org Home page of the International Solar Energy Society. www.iea-pvps.org International Energy Agency's PV programme. www.caddet.co.uk/re/html/pv.htm PV projects of the IEA's CADDET Renewable Energy Program. www.eren.doe.gov/consumerinfo/refbriefs/t396.html Listings of websites dealing with applications of PV and other renewable energy sources in developing countries. www.selco-intl.com Solar Electric Light Fund, which provides solar electric light and power for the developing world. www.ases.org Home page of the American Solar Energy Society. www.eren.doe.gov/py USA Department of Energy's Photovoltaic Program. www.nrel.gov/photovoltaics.html PV programmes run by NREL, the US National Renewable Energy Laboratory. www.eren.doe.gov/pv/onlineind.html Online access to many NREL PV subcontractors' reports. http://www.sandia.gov/pv/htlnks.htm Links from Sandia National Laboratory's own indepth PV website to other useful PV websites. www.fsec.ucf.edu/PVT/index.htm The Florida Solar Energy Center's photovoltaics information homepage. http://solstice.crest.org Renewable Energy Policy Project and the Center for Renewable Energy and Sustainable Technology (REPP-CREST), Washington D.C. www.eren.doe.gov/millionroofs US Million Solar Roofs Program, launched in 1997. www. nrel.gov/ncpv/documents/2 7061.html The US PV Industry Roadmap, launched in 1999, a framework to guide PV research, technology, manufacturing, applications, markets and policy through 2020. www.pv.unsw.edu.au Centre for Photovoltaic Engineering, University of New South Wales. www.nef.or.jp/english/index.htm English version of the home page of Japan's New Energy Foundation, giving overview of their renewables programme, including the programmes for residential PV. www. eurosolar. org/Publications/100.000. roof, html Germany' s 100,000 Roof Photovoltaic Programme.
30
M. D. Archer
www.ise.flig.de/Research/SWT Solar Cells Division, Fraunhofer Institute for Solar Energy Systems, Freiburg, Germany. www-micromorph.unine.ch Thin-Film Silicon and Photovoltaic Group, University of Neuchatel, Switzerland. www.brookes.ac.uk/other/uk-ises/soleil.html Resource guide for UK solar and renewable energy information www.pv-uk.org.uk British Photovoltaic Association (UK's PV Trade Association) http://info. Iboro. ac. uk/departments/el/research/crest/index. html Centre for Renewable Energy Systems Technology (CREST), Loughborough University, UK. www.solarcentury.com Design and supply of PV systems www.scolar.org.uk The Scolar programme to install PV in UK schools and colleges.
References Adams W. G. and Day R. E. (1877), 'The action of light on selenium', Proc. Roy. Soc. A25, 113-117. Alferov Zh. I., Andreev V. M., Kagan M. B., Protasov I. I. and Trofim V. G. (1971), 'Solar cells based on p-ALGa^jAs-w-GaAs heterojunctions', Soviet Physics — Semiconductors 4, 2047-2048. Becquerel A. E. (1839), 'Recherches sur les effets de la radiation chimique de la lumiere solaire, au moyen des courants electriques', Compt. Rend. Acad. Sci. 9, 145-149, 561-567. Benzer S. (1946), The photo-diode and photo-peak characteristics in germanium', Phys. Rev. 70, 105. Benzer S. (1947), 'Excess-defect germanium contacts', Phys. Rev. 72, 1267-1268. Bube R. H. (1998), Photovoltaic Materials, Imperial College Press, London. Carlson A. (1956), Research in Semiconductor Films, WADC-TR-56-52AD, 97494. Carlson D. E. and Wronski C. R. (1976), 'Amorphous silicon solar cells', Appl. Phys. Lett. 28, 671-673. Case T. W. (1920), "Thalofide cell"—anew photoelectric substance', Phys. Rev. 15, 289-292. Chapin D. M., Fuller C. S. and Pearson G. O. (1954), 'A new silicon p-n junction photocell for converting solar radiation into electrical power', J. Appl. Phys. 25, 676-677.
The Past and Present
31
Davydov B. I. (1938), 'Theory of rectification in the semiconductors', Bull. Acad. Sci. U. R. S. S. 5-6, 625-629. Fritts C. E. (1883), 'On a new format of selenium cell, and some electrical discoveries made by its use', Am. J. Sci. 26, A6S-M2. GrStzel M. (2000), 'Perspectives for dye-sensitized nanocrystalline solar cells', Prog. in Photovoltaics 8, 171-185. Green M. A. (1995), Silicon Solar Cells: Advanced Principles and Practice, Centre for Photovoltaic Devices and Systems, University of New South Wales, Sydney. Green M. A. (2000), 'Third generation photovoltaics: advanced structures capable of high efficiency at low cost', plenary lecture, 16th. European Photovoltaic Solar Energy Conf., Glasgow, 1-5 May 2000. Gremmelmaier R. (1955), 'Gallium-arsenic photoelement', Z. Naturforsch. A 19, 501-502. Grondahl L. O. and Geiger P. H. (1927), 'A new electronic rectifier', J. Am. Inst. Elec. Eng. 46,215-222. Hill R. and Meakin J. D. (1985), 'Cadmium sulphide-copper sulphide solar cells', Ch. 5 in Courts T. J. and Meakin J. D., eds., Current Topics in Photovoltaics, Vol. 1, Academic Press, London. IEA (1999), The Evolving Renewable Energy Market. Jenny D. A., Loferski J. J. and Rappaport P. O. (1956), 'Photovoltaic effect in GaAs p-n junctions and solar energy conversion', Phys. Rev. 101, 1208-1209. Kazmerski L. (2000), keynote lecture, 16th. European Photovoltaic Solar Energy Conf., Glasgow, 1-5 May 2000. Kazmerski L. L., White F. R. and Morgan G. K. (1976), 'Thin-film CuInSe2/CdS heterojunction solar cells', Appl. Phys. Lett. 29, 268-270. KPMG (1999), Solar Energy: From Perennial Promise to Competitive Alternative, KPMG Bureau voor Economische Argumentatie, Hoofddorp, Netherlands, Project No. 2562, August 1999. Lange B. (1938), Photoelements and Their Applications, Reinhold, New York. Markvart T. (ed., 1994), Solar Electricity, John Wiley & Sons, Chichester. Messenger R. and Ventre G. (1999), Photovoltaic Systems Engineering, CRC Press LLC, Boca Raton. Mitchell K., Fahrenbruch A. L. and Bube R. H. (1977), 'Evaluation of the CdS/CdTe heterojunction solar cell', J. Appl. Phys. 48, 4365^1371. MottN. F. (1939), 'Copper-cuprous oxide photocells', Proc. Roy. Soc. A171,281-285. Ohl R. S. (1941), 'Light-sensitive electric device, U.S. Patent No. 2,402,662; 'Electrical translating device utilizing silicon', U.S. Patent No. 2,402,839; 'Light-sensitive device
32
M. D. Archer
including silicon', U.S. Patent No. 2,443,542. Palmers G., Stone J. and Hamakawa Y. (199), 'A 25 years perspective on the influence and impact of publicly funded PV programs in Europe, the United States and Japan', Proc. 2nd. World Conf. and Exhibition on Photovoltaic Solar Energy Conversion, July 1998, Vienna, Austria, pp. 3377-3380. Partain L. D. (ed., 1995), Solar Cells and Their Applications, Wiley-Interscience, New York. Perlin J. (1999), From Space to Earth: The Story of Solar Electricity, Aatec Publications, Ann Arbor, MI. PV-UK (1999), Photovoltaics in the UK: Facing the Challenge. Reynolds D. C , Leies G., Antes L. L. and Marburger R. E. (1954), 'Photovoltaic effect in cadmium sulfide', Phys. Rev. 96, 533-534. Roadmap (1999), PV Industry Technology Roadmapping Workshop, Chicago, 23-25 June, 1999 (see Table 1.1 for website information). Saraie J., Akiyama M. and Tanaka T. (1972), 'Epitaxial growth of cadmium telluride by a closed-space technique', Jpn. J. Appl. Phys. 11, 1758-1759 Schottky W. (1938), 'Semiconductor theory of the barrier film', Naturwiss. 26, 843. Shay J. L., Wagner S. and Kasper H. M. (1975), 'Efficient CuInSe2/CdS solar cells', Appl. Phys. Lett. 27, 89-90. Siemens W. (1885), 'On the electromotive action of illuminated selenium discovered by Mr. Fritts, of New York', Van Nostrand's Engineering Magazine 32, 392n. SIJ (1998), Solar Industry Journal, Vol. 9, No. 1. Smith W. (1873), 'The action of light on selenium', J. Soc. Telegraph Engineers 2, 31-33. Sosnowski L., Starkiewicz J. and Simpson O. (1947), 'Lead sulfide photoconductive cells', Nature 159, 818-9. Spear W. E. and Le Comber P. G. (1975), 'Substitutional doping of amorphous silicon', Solid State Commun. 17, 1193-1196. Wagner S., Shay J. L., Migliorato P. and Kasper H. M. (1974), 'CuInSe2/CdS heterojunction photovoltaic detectors', Appl. Phys. Lett. 25, 434-435. Welker H. (1954), 'Semiconducting intermetallic compounds', Physica 20, 893-909. Wenham S. R., Green M. A. and Watt M. E. (1995), Applied Photovoltaics, Centre for Photovoltaic Devices and Systems, University of New South Wales, Sydney. Yamaguchi K., Nakayama N., Matsumoto H. and Ikegami S. (1977), 'Cadmium sulphide-cadmium telluride solar cell prepared by vapor phase epitaxy', Jpn. J. Appl. Phys. 16, 1203-1211.
CHAPTER 2
DEVICE PHYSICS OF SILICON SOLAR CELLS JURGEN O. SCHUMACHER AND WOLFRAM WETTLING Fraunhofer Institute for Solar Energy Systems ISE Oltmannsstrasse 5, D-79100 Freiburg, Germany wettl @ ise.fhg. de
No, 'tis not so deep as a well, nor so wide as a church-door; but 'tis enough, 'twill serve. Romeo and Juliet, William Shakespeare, c. 1594.
2.1 Introduction As shown in Chapter 1, a semiconductor solar cell is based on a simple p-n junction. An elementary description of cell performance can therefore be given in terms of a very simple model based on the Shockley diode equation in the dark and under illumination. This model is sufficient for understanding the basic mechanisms in the cell and roughly predicting the performance parameters of a solar cell. For some types of cells that perform far below their theoretical efficiency limit, this basic description may be adequate. However, for advanced solar cells such as high-efficiency monocrystalline silicon (c-Si) or gallium arsenide (GaAs) cells, which have been developed almost to their theoretical upper limit, these simple models are not sufficient to understand the subtleties of the device physics. Indeed, in the past few years improved methods of solar cell modelling have added immensely to a better understanding and performance of high efficiency cells. Unfortunately, detailed solar cell models are too complicated to be handled by analytical mathematical methods. One has to use numerical techniques that may be complex and time consuming. Therefore in a typical R&D laboratory, simple and detailed device models are used in parallel. The choice of model depends on the problems that have to be solved. In this chapter the device physics of solar cells is presented in several steps of increasing complexity. A schematic diagram representing the structure of the sections is shown in Fig. 2.1 Starting from the fundamental equations that describe semiconductor devices (Section 2.2), solutions are first discussed for the most simple cell model: the device equations are solved for a simple p-n junction cell consisting of 33
34
J. O. Schumacher and W. Wettling
Section 2.3: Simple p-n junction no surface, constant doping, only emitter and base
Section 2.4: p-n junction with doping profile and front surface
Section 2.5.2: p-n junction including - space charge region - back surface field - series and shunt resistance
^'ihiiiiiiMaM
\.m&B2BSBmM
0 - ii.i.iiMMMMPUIWI
m\
Section 2.5.3: include texturing
include 2(3)D features like point contacts and selective emitter PHUffiUll
Figure 2.1
From toptobottom: solar cell models of increasing complexity as analysed in this chapter.
an emitter and a base, each with a constant doping profile, with no boundaries taken into account (Section 2.3). In this most simple model, the ideal current-voltage characteristic of a solar cell is obtained. In Section 2.3 a basic skeleton of equations governing the device physics of solar cells is presented. A thorough derivation of the ideal p-n junction characteristics as presented in Section 2.3 is given by Archer et al. (1996).
35
Device Physics of Silicon Solar Cells
In Section 2.4 the most critical assumptions used in the derivation of the currentvoltage characteristics are discussed and the ideal solar cell model is extended to include the front and rear surfaces and a diffused emitter. For these models the device equations can still be solved analytically. The contents of Sections 2.2, 2.3 and 2.4 can be found in standard textbooks on solar cell physics (e.g. Hovel, 1975; Green, 1982). The semiconductor device equations can be solved with higher accuracy by applying numerical methods, to which we turn in Section 2.5, first for a onedimensional model (Section 2.5.2). In high-efficiency solar cells, two- and threedimensional features such as point contacts and selective emitters have to be included in the calculation, so 2D- and 3D-numerical models must be used. These models are introduced in Section 2.5.3. In this section optical reflection and absorption in a highefficiency silicon solar cell, calculated by means of ray tracing simulation, are also discussed. Furthermore, front side texturisation is taken into account and the optical carrier generation rate in high efficiency silicon solar cells is modelled.
2.2
Semiconductor device equations
Five equations describe the behaviour of charge carriers in semiconductors under the influence of an electric field and/or light, both of which cause deviations from thermal equilibrium conditions. These equations are therefore called the basic equations for semiconductor device operation. In the following they are simplified to one dimension. The Poisson equation relates the static electric field £ to the space-charge density p
d20(x) dx1
=
_d£W dx
=
_ p(£) e0€s
where <j> is the electrostatic potential, e0 is the permittivity of free space and es is the static relative permittivity of the medium. The electron current density ie and the hole current density ih are given by eqs. 2.2 and 2.3 ie (x) = + qDe ^ ^ ih(x) = -qDh ^ dx
+ quen(x)E(x) + quhp(x)£(x)
(2.2) (2.3)
36
J. O. Schumacher and W. Wettling
where n and p are electron and hole densities, ue and uh are the electron and hole mobilities and De and Dh are the electron and hole diffusion constants. The first terms on the right hand side of eqs. 2.2 and 2.3 are diffusion currents driven by a concentration gradient, and the second terms are drift currents driven by the electric field S. The divergence of the current density i is related to the recombination and generation rates of charge carriers by the continuity equation. The electron and hole continuity equations may be written as
+
1 dUx) q
1 dih{x) q
re(x) + ge(x) = 0
(2.4)
rh(x) + gh(x) = 0
(2.5)
dx dx
where r (JC) and g (x) are the position-dependent volume recombination and photogeneration rates, respectively. Substitution of the current densities eqs. 2.2 and 2.3 into the continuity equations 2.4 and 2.5 gives a coupled set of differential equations, the transport equations
D e ^ 4 + "e^T- + dx dx D„TT-
dx
nU
e^T- re(*) + S.W = 0 dx
»H£^- -PU»^~
dx
r„W + Sh{x)
= 0
(2.6) (2.7)
dx
The electron and hole transport equations 2.6 and 2.7 are coupled by the electric field £. The coupled set of differential equations 2.1, 2.6 and 2.7 can be solved with different degrees of accuracy. The most basic approach will be discussed in the next section.
37
Device Physics of Silicon Solar Cells 2.3 The p-n junction model of Shockley 2.3.1 The p-n junction at equilibrium
For a dark unbiased p-n junction, thermal equilibrium conditions are fulfilled. In this section the density of mobile charge carriers, the electric field and the electrostatic potential at thermal equilibrium are discussed. For now, we assume the simplest case, i.e. a constant doping in the p- and n-regions with an abrupt doping step at the transition. This is a good model for a p-n junction grown by epitaxy. If an n-region is formed by diffusion of donor atoms from the surface into a p-doped material, the model is too simple and must be refined. The Fermi levels p;F of two separated p- and n-doped semiconductors are different, as shown in Fig. 2.2a. If the two materials are brought into contact, the Fermi levels become identical. Figure 2.2b shows a p-n junction that is in equilibrium, so that it has a constant Fermi level p.f achieved by diffusion of mobile charge carriers from one side of the junction to the other. This causes band bending of the conduction band-edge energy Uc and the valence band-edge energy Uv. A transient diffusion current of electrons from the n-doped to the p-doped semiconductor leads to a positively charged region in the n-type semiconductor, while hole diffusion from the p-doped to the n-doped semiconductor causes a negative space charge in the p-type region. The space-charge region is almost completely depleted of mobile charge carriers, so that n and p are negligibly small compared to the donor and acceptor densities there. The resulting electric field produces a drift force that opposes the diffusion force. The diffusion and drift forces are equal at equilibrium. In the quasineutral regions that lie beyond the space-charge region, the donor and acceptor charges are compensated by electrons and holes, so the space-charge density is zero. For low-injection conditions, i.e. when the majority carriers are the dominant carrier type ( n „ » p„; pp » np) and at room temperature, the majority carrier concentrations n„ and pp in the quasineutral regions are given by the density of ionised dopants nn = ND
(2.8)
PP = WA
(2.9)
For eqs. 2.8 and 2.9 to be valid it must be assumed that the dopants are fully ionised. The validity of this assumption will be discussed in Section 2.4.2. For a nondegenerate semiconductor at thermal equilibrium the free carrier concentrations are given by the Boltzmann expressions
J. O. Schumacher and W. Wettling (a)
p-tjpe
n-tjpe
U£
,
a,'
i IZZZ" K
i i
(b) _ — , „ •
J....
J
...'
u
i
V I
(c) I
T
Figure 2.2 (a) Conduction and valence band-edge energies of separated p- and n-type semiconductors; (b) band bending of the p-n junction; the Fermi level is constant at equilibrium; (c) space-charge density p across the junction.
n = A^exp p = N„exp
kT kT
(2.10) (2.11)
where Nc and Nv are the effective densities of states of the conduction band and the valence band, respectively. At thermal equilibrium, the semiconductor mass-action law nf = n(x)p(x) holds, and using eqs. 2.10 and 2.11 this can be written as
39
Device Physics of Silicon Solar Cells
nf = np = NcNvexp
(2.12)
kT
where Ug is the energy gap (Uc-Uv) between the conduction and valence band edges. A simple model for the space-charge region, the exhaustion region approximation, was introduced by Schottky assuming rectangular charge density distributions as shown in Fig. 2.3a. The space-charge region is depleted of mobile charge carriers. Hence the space-charge density here is given by p(x) = -qN^
(-Wp<x<0)
(2.13)
p(x) = +qND
(0<x<Wn)
(2.14)
(a)
»PM qN-
•V„
x
W„
x
-1NA (b)
.
B(X)
Wp
(c)
PnM
p-QNR •p-DR •W.
Figure 2.3 junction.
x=0
n-DR
In-QNR Wn
(a) Space-charge density p (x); (b) electric field £(x); (c) inner potential <j> (x) across a p-n
40
J. O. Schumacher and W. Wettling
The electric field in the space-charge region can be found by integrating Poisson's equation, eq. 2.1, from JC = 0 to the edges of the depletion region with the constant charge densities eqs. 2.13 and 2.14. This gives S(x) = -^-(Wp
+ x)
£{x) = -^(Wn-x)
(-Wp <x<0)
(2.15)
(0<x<Wn)
(2.16)
Figure 2.3b shows the linear dependence of the electric field on position in the space charge region. The electric field vanishes outside this region. Defining the Debye length LD as VT\112
f £ £
P
L
o s
D
I"
-
L,D
-
kT
fe^Jcr_
(2.17) 1/2
(2.18)
q2ND
the electric field can be expressed as S{x)
Ht^'^
(-Wp<x<0)
(2.19)
(0<x<Wn)
(2.20)
where so-called thermal voltage V& is defined by V,,, = kTlq
(2.21)
The Debye length is a characteristic length of the junction. At thermal equilibrium, the depletion-layer widths of abrupt junctions are about 8LD for silicon. For typical doping densities of ^ 1016 cm"3, the Debye length for silicon is ^40 nm.
41
Device Physics of Silicon Solar Cells
By integrating eqs. 2.15 and 2.16 along x, the electrostatic potential in the depletion region is found to be
«NA
-x(2Wp+x)
(-Wp<x<0)
(2.22)
qND
(0<x<Wn)
(2.23)
„ w *»(*)
2e e
o s
At the depletion region edge and in the quasineutral regions beyond, the potential takes the constant values 0 p ( - ° ° ) for the p-type region and <j>n(°°) for the n-type region. The potential difference at the depletion region edges is denoted by Vj = * „ ( « » ) - * , ( — ) = t(W„) -
p(-Wp)
(2.24)
For equilibrium conditions, V, is called the diffusion voltage or built-in potential VD of the p-n junction (Fig. 2.3). Substituting
=
(NDWn2+NAWp2)
(2.25)
2 ^
The interface as a whole must be electrically neutral so NAWp
= NDWn
(2.26)
Using eqs. 2.25 and 2.26, the depletion region widths for equilibrium conditions follow as W„
Wn
2e0esVD
NA/ND
a
N>+Nn
^2e0esVD q
sl/2
ND/NA^ NA+NV
(2.27) 1/2
(2.28)
42
J. O. Schumacher and W. Wettling
2.3.2 The junction under bias in the dark At thermal equilibrium, the diffusion current of one carrier type is compensated by a drift current of the same carrier type, so the net current flow vanishes. The diffusion of electrons from the n-doped region to the p-doped region can be expressed as a recombination current: electrons recombine with holes in the p-doped region, creating a current density ierec. Similarly, the drift current of the electrons from the p-doped to the n-doped region is supplied by thermally generated electrons in the p-region, creating a current density ie,gen. When the junction is unbiased, the ddrift and diffusion currents are equal and opposite, so ie.rec(Vja=0)-ie,gen(Vja=0)
= 0
(2.29)
An externally applied bias voltage Vja disturbs the equilibrium conditions and shifts the potential barrier across the p-n junction.1 A forward bias VJa > 0 decreases the potential barrier and the recombination current /ftrec(Vja) increases with the Boltzmann factor exp (qVja/kT)
h.recWja)
= h.recWja = 0) e x p
(2.30)
kT
The rate of thermally generated charge carriers iegen is not influenced by the external voltage; therefore "e.gen
(2.31)
(Yja) = 4 , ^ ( ^ = 0 )
The analogous equations for holes are (2.32) ik.rec(VJa=0)
=
f
h.gen(VjaqV* =0)
A
(2.33)
kT (2.34) h.gen ('ja )
= l
h,gen (*>
=
")
1 For simplicity we do not here account for a voltage drop due to the series resistance of a solar cell; Vla denotes the portion of the applied voltage that appears across the junction.
43
Device Physics of Silicon Solar Cells The external electron and hole current densities are given by
(2.35) l
l
h
(2.36)
l
h,rec
h,gen
The net current density is the sum of electron and hole currents (2.37)
» = K + ** Using eqs. 2.30 to 2.37 the net current density is therefore given by
Wja)
=
exp
1
kT \
(2.38)
J
where i0 is the saturation current density of the p-n junction, given by o
e,gen
h,gen
(2.39)
Under forward bias, the current increases exponentially with the applied voltage. For high reverse voltages, Vja < 0, the Boltzmann factor in eq. 2.38 can be neglected and the external current corresponds to the flux of thermally generated charge carriers as follows: '
=
~'o
=
l
-('«, gen ' h,gen ,
(2.40)
Equation 2.38 is known as the Shockley equation (Shockley, 1949). Note that it was derived without considering any special semiconductor characteristics such as charge carrier lifetime. The current-voltage behaviour of this idealised p-n junction is simply governed by the recombination current as a function of the Boltzmann factor exp(qVja/ kT). The Shockley equation describes the ideal rectifier diode, and is a fundamental equation for microelectronic device physics. For a quantitative discussion of the idealised p-n junction, the charge carrier densities at non-equilibrium have to be calculated. The device works under nonequilibrium conditions if charge carriers are either injected by an applied voltage or optically generated. For this purpose, we can derive boundary conditions for the charge carrier densities at the junction edges -Wp and W„, respectively, as follows. At thermal equilibrium, the charge carrier densities are given by the Boltzmann distribution, eqs. 2.10 and 2.11, based on the energy difference between the band-
44
J. O. Schumacher
and W. Wettling
edge energies Uc and Uv and the Fermi energy /2F (Fig. 2.2). A similar dependence can be stated for non-equilibrium conditions by introducing separate Fermi energies for electrons and holes, the quasi-Fermi energy levels fie and p.h. These are defined so that replacement of the single equilibrium Fermi energy flF in the equilibrium expressions on the left side of Table 2.1 by the quasi-Fermi energy levels fie and jih yields the non-equilibrium carrier densities on the right hand side of Table 2.1. Table 2.1
Charge carrier densities for equilibrium and non-equilibrium conditions Equilibrium
n° = Nc exp
Non-equilibrium
kT
p° = Nv exp
kT
n = Nc exp
Uc-Peu kT
(2.43)
p = Nv exp
h-kT
U-Uv kT
n°p°=nii=NcNvexp = Nc Nv exp'
(2.41)
U
*" kT
np = NCNV exp (2.45)
•n°p° exp
kT
kT
\
(2.42)
(2.44)
exp
fth-fie kT (2.46)
Left: The charge carrier densities for equilibrium are given by the difference of the band-edge energy and the Fermi energy. Right: For non-equilibrium conditions the quasi-Fermi levels [ie and jih are introduced.
At the edges of the space-charge regions the minority and majority carrier quasiFermi levels are separated by the bias qVja imposed across the p-n junction
qvia = fih(-w„) - fie(wn)
(2.47)
Here we have assumed the validity of the Boltzmann approximation for the charge carriers (Table 2.1) and low-injection conditions. More general expressions for the separation of carrier quasi-Fermi levels were derived by Marshak and van Vliet (1980). With respect to our assumptions, the separation of the quasi-Fermi levels VJa is related to the potential difference V, across the junction (eq. 2.24) by Vja
=VD-Vj
(2.48)
45
Device Physics of Silicon Solar Cells
Under low-injection conditions, the majority carrier concentrations are unperturbed throughout the quasineutral regions, so that P„(-Wp) = P°p
(2.49)
nn(Wn) = n°n
(2.50)
where p° and n° are the majority carrier concentrations in the quasineutral p- and ntype regions, respectively. Using eqs. 2.46 to 2.50, we find the boundary conditions for the minority carrier concentrations at the edges of the space-charge regions as
np(.-Wp) = < e x p
Pn(-Wn) = rfexp
kT kT
(2.51) f
(2.52)
With these boundary conditions, the transport equations can be solved to find quantitative expressions for the saturation current density of the p-n junction.
2.3.3 The superposition principle The transport equations for electrons and holes eqs. 2.6 and 2.7 contain the electric field £, forming a coupled set of differential equations for the carrier concentrations n and p. If the spatial dependence of the electric field and the carrier concentrations is known the current densities can be calculated with the help of eqs. 2.2 and 2.3. If the approximations discussed in Section 2.3.1 are adopted, the electric field in the quasineutral region vanishes, and therefore the transport equations, eqs. 2.6 and 2.7, decouple in these regions. In this case, the carrier transport is purely diffusive and the minority carrier concentrations can be calculated separately for both quasineutral regions. Under low-injection conditions, the perturbation of the majority carrier concentration due to generation and recombination processes can be neglected. The recombination rate of minority carriers is then proportional to the excess minority carrier concentration (n - n°) on the p side and (p — p°) on the n side. Therefore the minority carrier recombination rate r is given by
46
J. O. Schumacher and W. Wettling
re = ^
r„ = E
Z l
(2.53)
-
(2.54)
where te and xh are the minority carrier lifetimes of electrons and holes, respectively. The transport equations 2.6 and 2.7 simplify to the following decoupled linear differential equations for the quasineutral regions if the minority carrier lifetimes do not depend on the carrier concentrations n-n° e
2
dx
,„ + ge{x) = 0
(2.55)
(2.56)
In addition it is assumed that the photogeneration rates ge(x) and gh(x) are independent of the carrier concentrations and depend only on distance x from the illuminated surface. For dark conditions, where g(x) = 0, eqs. 2.55 and 2.56 are homogeneous differential equations. The carrier concentrations under illumination are found by adding particular solutions of the inhomogeneous differential equations to the general homogeneous solutions. For electrons in the p-type region this may be expressed as nu
= nm + nph
(2.57)
where nm is the solution for dark conditions, nph is the photogenerated electron density and nu is the electron concentration under illumination. This implies that the illuminated I-V curve can be found simply by adding the photogenerated current to the dark I-V curve (shifting approximation)—the model cell is said to exhibit superposition. This is shown schematically in Fig. 2.5, where the dark diode I-V characteristic is shifted from the first quadrant to the fourth quadrant by adding the photogenerated current iu = -isc. In a circuit diagram, as shown in Fig. 2.8, the superposition of currents means that the diode and the photogenerated current flows are in parallel.
47
Device Physics ofSilicon Solar Cells 2.3.4 Carrier density solutions for dark conditions
The Shockley equation, eq. 2.38, for the current-voltage characteristic of a p-n junction was found in Section 2.3.2 with the help of a qualitative discussion. A quantitative expression for the saturation current density i0 in the Shockley equation can be calculated by solving the diffusive carrier transport equations in the quasineutral regions. If the superposition principle discussed in Section 2.3.3 applies, the carrier density solutions in the quasineutral regions can be found by solving eqs. 2.55 and 2.56 separately. Under dark conditions eqs. 2.55 and 2.56 reduce respectively to d n dx2
D.e D,
d
n-n°
(x<-W„)
(2.58)
(x>Wn)
(2.59)
o
l
p 'ATT dx2
= 0 0
p-p xh
The general solution of eq. 2.58 can be expressed as
n - n° = A cosh
x
C
+ B sinh
x
\
(2.60)
where the distance
h - V^
(2.61)
is the diffusion length of electrons in the p-doped side. The diffusion length is the average length a minority carrier can diffuse between generation and recombination, i.e. during its lifetime r. If it is assumed that there is no recombination loss at the surface of the p-QNR, the boundary condition dni dx x—»-°°
0
(2.62)
applies. Applying eqs. 2.62 and 2.60, it is found that A - B so the concentration of electrons in the p-QNR is given by n-n°
= A exp
'x^
(2.63)
48
J. O. Schumacher and W. Wettling
The boundary condition eq. 2.51 yields
A = n° exp
- 1 exp
kT
'w, ^ ,
L
(2.64)
e ,
The excess carrier concentration (eq. 2.63) decays exponentially from the position x = -Wp in the p-QNR over the characteristic length Le. The electric field in the quasineutral region vanishes because of the exhaustion region approximation, so the current flow is driven by diffusion only. At the edge of the p-doped depletion region, the current density is given by
ie(-Wp) =
qDe-(n-n°)\x=^
(2.65)
and from eqs. 2.63 and 2.64 we find qDen°
exp
(2.66)
kT
Similar arguments give the excess hole concentration in the n-QNR as r
P-P
exp
exp
kT
W.-x^
(2.67)
and the current density of the diffusive hole carrier flow atx=W„ as
h(K) =
4DhP°
exp
kT
-1
(2.68)
To derive analytical expressions for the electron and hole carrier densities in the ndepletion region, we shall assume for now that the recombination loss in the depletion region can be neglected, Le. that r = 0 for -Wp i x <, Wn. The transport equation, eq. 2.6, then reduces to „ d- n.* „ , ,dn DeTT + ue£{x)—+ dx dx
d£ nu — = 0 dx
(2.69)
Device Physics of Silicon Solar Cells
49
Using Schottky's model for the space-charge region discussed in Section 2.3.1 and the Nernst-Einstein relation kT
n
(2.70)
the electric field can be expressed in terms of the characteristic Debye length LnD (eq. 2.18) of the space-charge region d n dx'
1 (*)
.„, . dn , . 1 -j(Wn - x)— + n(x)-—-y dx
(*r
_ = 0
(2.71)
At x = Wn the carrier concentrations must match the solutions for the quasineutral regions, and therefore (2.72)
n(W„) = ri p{W„) = p°exp
'fO kT
(2.73)
Under low-injection conditions, the majority carrier concentration gradient vanishes at x = Wn, i.e. dn dx
(2.74)
= 0
x=W„
The boundary condition for the hole gradient at the depletion region edge follows from eq. 2.67 as („\I
dx
x=W„
exp
«V, \ - 1 kT
(2.75)
Integrating eq. 2.71 from Wn to x, using the boundary condition eq. 2.74, we obtain
dx
(L"Df
(2.76)
50
J. O. Schumacher and W. Wettling
The differential equation for the hole carrier density in the n-doped depletion region can be found by using the boundary condition eq. 2.75. The same steps are used as for the derivation of eq. 2.76, leading to
(LnD)2
Ax
F
Lh
exp
kT
(2.77)
-1
The electron carrier density in the n-doped depletion region is found by integrating eq. 2.76 subject to the boundary condition eq. 2.72, giving n(x) = n° exp '
(*-^)n 2(L"Df
(0<x<Wn)
(2.78)
Integrating eq. 2.77 using the boundary condition eq. 2.73 gives the hole carrier density in the n-doped depletion region as 1/2
p(x) =
exp
kT
v2,
erf
'w.-x^ J2LnD
+ exp
kT (2.79)
p exp
2 (L"Df
(0<x<Wn)
The Debye length LD introduced in eqs. 2.17 and 2.18 is several orders of magnitude smaller than typical diffusion lengths Le and Lh. Thus the first term in eq. 2.79 can be neglected and this equation reduces to
p{x) = p°exp
qVja )
kT
(x-W„)2 exp 2(L"Df
(0<x<Wn)
(2.80)
The depletion-region concentration profiles predicted by eqs. 2.78 and 2.80 are illustrated in Fig. 2.4. These equations are sometimes known as the quasiequilibrium expressions. They indicate that, although there is a net carrier flux across the biased junction, the carrier concentrations are, to a very good degree of approximation, still related to those at the depletion region edges by Boltzmann expressions. Physically
Device Physics of Silicon Solar Cells
51
P-'VPe
.depletion _ ^ r eregion aion "*
P=NA
|
n-type
j n=N D
ffiexp(qVl./kT)
rf'expfgl^/fcT)! 1
V_
< ^ PW\
/n(x)
j
|
-W„
0
p°
rP
-H„
W„
H„
Figure 2.4 Electron and hole carrier concentrations across the dark forward biased p-n junction. Arrows indicate the points where the boundary conditions 2.51 and 2.52 apply.
this is because the net hole and electron currents in the depletion regions arise from the small difference between very large opposed drift and diffusion forces. These are exactly balanced at equilibrium (Section 2.2) and only slightly unbalanced when the junction is subjected to moderate bias. The carrier profile therefore remains quasistatic, that is, solely determined by the local electric potential and independent of any transport properties, such as carrier mobility (Archer et al., 1996). We can now find an expression for the saturation current density, i0. Since the hole and electron currents are constant across the dark, biased junction, it follows that all majority carriers injected into the junction at one depletion region edge must emerge as minority carriers from the other depletion region edge. We can therefore calculate the saturation current from eqs. 2.66 and 2.68, as the sum of the minority carrier currents emerging from the depletion edges into the quasineutral regions, which gives
Wja)
= Ki-Wp) + hWn)
= 'o exp
kT
(2.81)
where _ qDen°
qDhp°
(2.82)
52
J. O. Schumacher and W. Wettling
Comparing Shockley's current-voltage characteristic eq. 2.38 with eq. 2.81 and using also eqs. 2.8, 2.9 and 2.12, the saturation current density of the p-n junction can be written as
*o = mt
D. LNA
A.
(2.83)
kND)
2.3.5 The illuminated 1—V curve To find the carrier concentration under illumination, we use the superposition principle (Section 2.3.3). The electron concentration in the illuminated p-type quasineutral region is found by solving eqs. 2.55 and 2.56, where the position-dependent photogeneration rate ge(x) has now to be considered. For mathematical simplicity, we shall assume the case of spatially homogeneous generation g of electron hole pairs (see Green, 1982). This means we assume weakly absorbing material, so that photogeneration of charge carriers does not fall off with x. This assumption simplifies the treatment and does not alter the essential conclusions. From the superposition principle we obtain De(nu-n°)
d 2„u
D. e
j
2
+ g=0
(x<-Wp)
(2.84)
ax and „P"
= nu - nm
(2.85)
Subtracting eq. 2.58 from eq. 2.84 gives
D,
dVh dxz
Denph
+ g=0
(x<-Wp)
(2.86)
The photogenerated charge carrier density at the edge of the space-charge region is considered to be negligible, and therefore
n*\-W„) = 0
(2.87)
53
Device Physics of Silicon Solar Cells
This approximation is discussed in Section 2.5.2. Assuming no recombination loss at the surface of the p-type region, the boundary condition eq. 2.62 also holds for nph, i.e. drt Ph
0
dx
(2.88)
The general solution to eq. 2.86 is nph = gre + C exp
x
+ D exp
(
^
(2.89)
where the constants C and D can be determined from the boundary conditions. Using eq. 2.87, we obtain gxe + C exp
'-HO
+ D exp
'W. ^
(2.90)
= 0
KLeJ
The boundary condition eq. 2.88 implies that D = 0 for a physically meaningful solution; so C =
-greexp
(WA
(2.91)
\^ , and the photogenerated carrier density in the p-QNR is found as r
Wp + x^
P
« V) =
(2.92)
gTAl-exp
Substituting eqs. 2.63, 2.64 and 2.92 in eq. 2.85 we obtain the electron concentration in the p-QNR under illumination as
n
= n + gze + exp
(%
{
+x L
<) \
n 4 exp
kT
-l\-8Te
(x<-Wp)
(2.93)
54
J. O. Schumacher and W. Wettling
The diffusive electron flow in the p-type quasineutral region follows by differentiating eq. 2.93 with respect to x, giving
ie(x) = qn°y-\exp
f\Vp+x^
exp
"1 -<7g£ e ex P
kT
W+x
(*<-W_)(2.94)
with a similar expression for the diffusive hole current flow in the n-type quasineutral region
ih(x)= qp°-h-\ exp
f
Vf.-x^
exp
-l\-qgLhexp
kT
'w.-x^
(x>W„)(2.95)
The total current density is found by adding the diffusive minority carrier flow at the edges of the depletion regions as in Section 2.3.4. Including the change in current density qgW arising from the generation of electron-hole pairs in the depletion region of width W=Wn+ Wp, we obtain 'total = ie(-Wp)
+
h(Wn)-
(2.96)
Substituting eqs. 2.94 and 2.95 in eq. 2.96 yields the ideal diode equation under illumination 'total
'o
exp
(2.97)
where i0 is the saturation current density (eq. 2.82) and iu the light-generated current, given by iu
= qg[W + Le+Lh]
(2.98)
In this section on the p-n junction model of Shockley, we have been able to derive analytical expressions for the saturation current density of the dark diode and for the charge carrier distribution in the illuminated p-n diode by making a number of simplifying assumptions.
Device Physics of Silicon Solar Cells
55
The most important of these assumptions were: • • • • • •
the exhaustion region approximation. low-injection conditions. the superposition principle. Le«Hn and Lh«Hp, so that the cell is wide enough that no surface recombination needs to be taken into account. spacially homogeneous photogeneration of electron-hole pairs. no parasitic losses due to series and parallel resistances.
These assumptions, while they yield valuable insights into p-n junction behaviour, are unrealistic, and we shall now turn to the characteristics of real junctions.
2.4 Real diode characteristics Though the ideal diode equation, eq. 2.97, takes account of the basic physical principles of charge carrier transport that can be found in real devices, silicon solar cells in general exhibit strong deviations from this ideal characteristic. In the following sections, the parameters that characterise a 'real' solar cell are discussed.
2.4.I Solar cell parameters The practical analysis of solar cell performance starts with the dark and light I-V characteristics shown in Fig. 2.5. Prominent parameters of the light I-V characteristics include the open-circuit voltage V,*, the short-circuit current density J'SC, the maximum power voltage V^ and the current density for maximum power j" mp . The maximum power Pmp is given by the product Vmp imp. The efficiency of the cell at the maximum power point is the ratio of output power P mp to the incident solar power E0
n
_
m
P _
En
m
P ' m P _ K c *sc ^fill En En
^2 99")
where r/m is the fill factor rim = ^
(2-100)
i V
which can be thought of as the ratio of the two rectangular areas shown in Fig. 2.5.
56
J. O. Schumacher
i
and W. Wellling
'•
dark/ lillunlinat 1/
u Figure 2.5
/
__j 1 -4o V V
Typical dark and illuminated solar cell I-V curve. • shows the maximum power point.
By setting /lolal in eq. 2.97 to zero, the relation between the open-circuit voltage V^ and the saturation current density i0 is found as
'l + f
Voc = v>u 'n
(2.101)
2.4.2 Assumptions regarding the majority carrier concentration In deriving eqs. 2.8 and 2.9, it was assumed that the majority-carrier concentration was equal to the density of the dopants throughout the QNRs. For this to be so, lowinjection conditions have to be fulfilled: that is, the perturbation of the majority carrier concentration due to light generation or carrier injection must be small, so that n ~ ND, (in n-type material)
(2.102)
p ~ N.- (in p-type material)
(2.103)
In other words, the density of free charge carriers is equal to the density of ionised dopants. This approximation is not valid for illumination by concentrated sunlight or high forward-bias voltages. If, in addition, the energy level of the dopant lies near the relevant band edge, all the dopants will be ionised at room temperature, and in this case n m ND - ND.
(2.104) (2.105)
57
Device Physics of Silicon Solar Cells
2.4.3 Charge carrier lifetime For the superposition principle to be valid, the minority carrier lifetimes in eqs. 2.53 and 2.54 must be constant, as we noted in Section 2.3.3. These lifetimes are determined by the dominant recombination mechanism. For an n-type semiconductor, the upper bound on the hole lifetime, namely the radiative recombination lifetime xrh, is given by 1
(2.106)
k[N0 where k[ is the radiative recombination rate constant. The minority carrier lifetime is often determined by recombination through traps. For the simple Shockley-Read-Hall (SRH) model of recombination centres of a single energy, the hole carrier lifetime in an n-type semiconductor is given by T
1
*>T
(2.107)
where Nj is the trap concentration and kl is the hole capture rate constant. In other cases, minority carrier lifetimes are determined by Auger recombination. In this case, the hole lifetime for low-injection conditions is given by .A T
1
*- Tw 'D
(2 108)
-
wherefc*is the Auger band-to-band recombination rate constant. Shockley-Read-Hall and Auger recombination are the two dominant recombination mechanisms in Si solar cells. The minority carrier lifetime Th of holes in ndoped silicon is then given by
— = 4+4-
< 2 - 109 )
The 1/ A/p -dependence of the Auger lifetime causes the minimum carrier lifetime to be smaller in heavily doped regions {e.g. the emitter) than in lightly doped regions (e.g. the base). Also, the doping dependence of tf leads to a position-dependent lifetime in the emitter region of cells with a doping profile. The saturation current
58
J. O. Schumacher and W. Wettling
density of emitters with position-dependent carrier lifetimes can be calculated analytically, as we shall see in Section 2.4.8. If low-injection conditions are not fulfilled, the recombination rates for electrons, re and rh, depend on both the electron and hole concentrations, and the superposition principle does not apply. This is the case in solar cells working under illumination by concentrated sunlight. The coupled set of differential equations 2.1, 2.6 and 2.7 have then to be solved numerically, and we will turn to this in Section 2.5.
2.4.4 Surface recombination In the discussion of the dark diode characteristics in Section 2.3.4, it was assumed that there was no recombination loss at the cell surfaces. If we now include surface recombination of electrons at the surface of the p-type region {atx = -Hp), the boundary condition can be expressed as
Se(n-n°)
dx
(2.110)
where Se is the surface recombination velocity of electrons. Introducing a similar boundary condition for the recombination of holes at the surface of the n-type region and performing the same steps as in Section 2.3.4 gives the following modified expression for the saturation current density (compare with eq. 2.82): "
D
S
+9
hPn_-=
(2.111)
4 The geometric factor E„ is given by sinh
A. f
cosh Q^
+ Ml
cosh
N sinh ' a
(2.112)
where Qn = Hn - Wn is the width of the n-doped quasineutral region, Sh is the surface recombination velocity of holes at the surface of the p-doped region, Lh is the hole diffusion length and Dh is the hole diffusion constant, as previously introduced.
Device Physics of Silicon Solar Cells
59
100
0.01
Figure 2.6 Geometric factor as a function of the ratio of the width of the quasineutral region Q to the minority carrier diffusion length L. Each curve represents a fixed ratio SL/D.
A similar expression can be found for the geometric factor Ep. The effect of surface recombination on the saturation current density j0.can be studied by plotting the geometric factor as a function of QIL for various values of SLID, as shown in Fig. 2.6. For L< Q {i.e. QIL > 1), the surface does not contribute to i0. A thin quasineutral region in combination with a high surface recombination velocity results in a high saturation current density, and consequently a low opencircuit voltage (see eq. 2.101). On the other hand, good surface passivation can reduce i0 considerably at low values of QIL. This is particularly important for thin solar cells.
2.4.5 Series and shunt resistance In the real device, a series resistance Rs and a shunt (or parallel) resistance Rp may be present. Accounting for series and shunt resistance losses, the illuminated I-V characteristic eq. 2.97 becomes
i(V) = i0 exp
(i(v-iR,y kT
where V is the voltage at the cell terminals.
(2.113) R„
J. O. Schumacher and W. Wettling
60 (b)
Rp = 20 acr^
--''30 < -30 E -40 0.2
0.3
0.4
0.5
-50
_JJ1D•10*
0.2
0.3 0.4 0.5 voltage [V]
0.2
0.3 0.4 0.5 voltage [V]
voltage [V]
0.2
0.3
0.4
0.5
voltage [V]
•
Figure 2.7 Influence of series resistance Rs and parallel resistance Rp on the I-V characteristic: (a) illuminated, R, varied; (b) illuminated, Rp varied; (c) dark, Rs varied; (d) dark, Rp varied.
The series resistance of a solar cell is composed of the resistance of the metal grid, the contact resistance and the base and emitter sheet resistances. Shunt conductive losses can arise from imperfections on the device surface as well as leakage currents across the edge of the cell. The influence of the series and shunt components on the illuminated and dark I-V characteristics, according to eq. 2.113, is plotted in Fig. 2.7. The dark I-V curves in the lower half are shown on a logarithmic scale; the ideal 1-V characteristic eq. 2.97 gives a straight line on this scale. For high current densities the deviation from straight line behaviour is caused by the series resistance, while low shunt resistances cause deviations from the ideal I-V characteristic for small current densities.
2.4.6 Non-ideal dark current components It has so far been assumed that there is no recombination loss in the depletion region. However, in real solar cells, depletion-region recombination represents a substantial loss mechanism. An analytical expression for the 'space-charge layer recombination current' was first given by Sah etal. (1957), for the simplified case of a single recombination centre located within the forbidden gap. Traps located in the vicinity of
61
Device Physics ofSilicon Solar Cells
the gap give a dominating contribution to the Shockley-Read-Hall recombination rate. It was further assumed that the recombination rate is constant across the spacecharge region. The resulting recombination rate can be expressed as a recombination current «DR in the depletion region
'DR
exp
qV_ -1 2kT
(2.114)
Adding this space-charge layer recombination current to eq. 2.113 gives the two diode model expression
KV) = L exp
q(y-iR,y
kT
+1.o2 exp
2kT
-1
+Yz*t.-p
(2.H5)
R„
Sah also derived an analytical expression for iDR with less rigid assumptions (see Fahrenbruch, 1983); for example, Sah's expression is still valid for unequal electron and hole lifetimes. In general, the recombination current in the depletion region is a function of the applied voltage and is not necessarily of monoexponential form. A non-ideal I—V characteristic can also be caused by an injection-level-dependent surface recombination current. In the boundary condition eq. 2.110 the surface recombination velocity S was assumed to be independent of the minority carrier concentration. However, Aberle etal. (1993) found that the origin of the non-ideal diode behaviour of high-efficiency silicon solar cells is a surface recombination velocity at the rear Si/Si0 2 interface that strongly depends on the minority carrier concentration. In practice, most measured I—V curves of solar cells can be approximated by several exponential regions in the dark forward I—V characteristic revealing the presence of several dark current components. One can take this behaviour into account by empirically introducing the ideality factors Pi and /^ so that eq. 2.115 can be expressed as HV) = iol exp
q{v-JR,j - 1 PxkT
+1.o2 exp
'g(r-«.r
+
^Zf*L-^
(2.H6)
P2kT
Fig. 2.8 shows the equivalent circuit of eq. 2.116, which consists of two diodes with different ideality factors P\ and fa in parallel, the light-generated current iu and the series and parallel resistances Rs and Rp.
62
J. O. Schumacher
Figure 2.8
and W. Wettling
Equivalent circuit of a solar cell described by the two-diode model, eq. 2.116.
By varying j' 0 l , io2 Pu /%, Rp, and Rs, a wide range of experimentally observed I-V curves can be fitted. As outlined above, different recombination components may be lumped in numerical fit values of the model parameters iol, io2, P\ and fhoi eq. 2.116. Therefore a unique assignment of fit results corresponding to the physical origin of one recombination mechanism is in general not possible.
2.4.7 Photogeneration In Section 2.3.5 an expression for the I-V curve of a p-n junction under illumination was derived under the assumption of a spatially homogeneous generation rate. This is rather unrealistic, since good solar cells must absorb the incident light strongly. For illumination with the solar spectrum the spatially dependent generation rate of electron-hole pairs can be calculated with respect to a wavelength-dependent absorption coefficient a(\). A photon of wavelength A penetrating the surface of the solar cell is absorbed with the probability a(X) per unit length. Each absorbed photon creates one electron-hole pair.2 Thus the generation rate gx(x) of electron-hole pairs per unit volume with respect to wavelength X is given by gx{x)
=
a{X)jk{x)
(2.117)
where j^x) is the spectral photon flux at depth x. For steady-state conditions the continuity equation for photons gives div j x = ~gk{x)
2
(2.118)
For photon energies exceeding twice the band-gap energy Us, it is possible to create two electron-hole pairs by impact ionisation. However, the number of photons with energies exceeding 2Ug can be neglected for silicon solar cells illuminated by terrestrial sunlight.
Device Physics ofSilicon Solar Cells
63
or ^ = -aa)jx(x) ax
(2.119)
This leads to an exponential decay of the photon flux A W = A(0)exp[-«(A)x]
(2.120)
From eq. 2.117 the generation rate is found as S A W = A(0)aU)exp[-a(A)x]
(2.121)
The total generation rate of electron-hole pairs per unit volume can be found by integrating eq. 2.121 over wavelength g(x) = \gx(x)dX
(2.122)
The electron and hole current densities can still be calculated analytically for the generation rate expression eq. 2.122, following the steps described in Section 2.3. The full current expressions can be found in Sze (1981).
2.4.8 Accounting for position-dependent doping profiles We have so far assumed the dopant concentrations to be constant through the n- and /j-type regions, but this is an oversimplification. The emitter of a silicon solar cell has a spatially dependent donor profile with an error or gaussian function shape since it is processed by diffusion of phosphorus atoms into a p- (boron) doped wafer. Where the dopant concentration varies with depth x, the assumption of a constant mobility (Section 2.3) is not in general justified. For example, ionised impurities in the semiconductor cause carrier scattering, which significantly affects the mobility. In more heavily doped regions of the semiconductor, the average time between collisions of the charge carriers with ionised impurity atoms decreases, and hence the mobility decreases. Moreover, the Auger lifetime in emitters with a non-uniform doping profile is position-dependent (eq. 2.108).
J. O. Schumacher and W. Wettling
64 log \ND-NJ
/vtype p-type
-H. Figure 2.9 substrate.
">,
W„
•W„
x^O
Hn
Schematic doping profile of a solar cell with an n-type emitter diffused into a p-doped
An analytical approach to the calculation of the emitter saturation current density in semiconductors with position-dependent doping profiles has been given by Park et al. (1986). Consider a p-n junction formed by diffusing n-type impurities of concentration ND(x) into a uniform p-type substrate, as illustrated in Fig. 2.9. To find the emitter saturation current density, the hole recombination current density in the n-QNR is calculated. Using eqs. 2.5 and 2.54, the hole continuity equation for dark conditions can be written as
p(x)-p°(x)
(2.123)
ax
At thermal equilibrium the hole drift current and hole diffusion current balance each other. Thus, a quasi-electric field for the diffusion component can be expressed as
S=—
(2.124)
-J-{lntfD0c)}
q ax
Substituting this hole quasi-field into eq. 2.3 gives
'/,(•*) =
-QDh{x)
jd_
p—{\aND(x)}+ djc'
^
dx
(2.125)
Device Physics of Silicon Solar Cells
65
The first term on the right side of eq. 2.125 is the drift current and the second term is the diffusion current. Note that the effective diffusion constant Dh(x) of the holes is now position-dependent Dh{x)
(2.126)
uhND(x) <7
The boundary condition for the hole concentration at the edge of the space-charge region is given by eq. 2.52. The boundary condition for the recombination of holes at the emitter surface at x = H„ is ih(Hn) =
qSh(p-p°)
x=H,
= qShp
(2.127)
*=H„
Integrating eqs. 2.125 and 2.123 from Wn to x gives i
P'(x) = p°{x)
x
' - T
i'(x')
dx'
(2.128)
D
h(x')P°(x')
and i'(x) = i'(Wn) -q\X
P (x
WnTh(X')
' dx'
(2.129)
where i' (x) and p' (JC) are the normalised hole current and hole density expressions
«'(*) =
h(x) Cxp(qVja/kT)-l
(2.130)
P'(x) =
P(x) - p°(x) Cxp(qVja/kT)-l
(2.131)
The second term on the right hand side of eq. 2.128 contains the current flow in the emitter region, which causes the hole concentration to differ from the local equilibrium value p°(x). Substituting the hole current density expression eq. 2.129 into eq. 2.128 gives an integral equation for the hole density. Successive substitution of eqs. 2.128 and 2.129 into each other yields an iterative scheme for the calculation of the hole carrier distribution. Depending on the number of iteration steps, different approximation orders for p' (x) can be achieved. The innermost integral of the
66
J. O. Schumacher and W. Wettling
approximation is taken over the equilibrium hole carrier distribution, which can be found from eqs. 2.45 and 2.104 as 2
ND(x) The emitter saturation current density /0(, is composed of the surface and bulk components L = i'(W„) = i'(Hn) + fbulk
(2.133)
Using eq. 2.127 and the calculated hole density p' (x), we find n„
,, .
^ = qShp'(Hn) + q J £ i 2 . dx
(2.134)
The integral in eq. 2.134 is taken over the volume recombination rate in the quasineutral emitter region and represents the recombination current in this region. Here the minority carrier lifetimeTh(x) is given by eq. 2.109. Equation 2.134 can be solved for different combinations of surface recombination velocities Sh and doping profiles NQ(X), as demonstrated by King et al. (1990). From the emitter saturation current density, the maximum open-circuit voltage can be obtained by applying eq. 2.101. The surface recombination velocity Sh depends on processing conditions. For high Sf,, a low surface minority carrier concentration p (H„) is advantageous. This can be achieved with a heavily doped emitter, to minimise the first term in eq. 2.134. Figure 2.10b shows an unpassivated emitter surface with Sh = 106 cm s -1 (Preu et al, 1998). The highest open-circuit voltage is found for a deep doping profile with a high peak doping concentration. Here, gaussian-shaped doping profiles were assumed. The second term in eq. 2.134 represents the bulk recombination contribution to the emitter saturation current density. Varying an emitter profile, an optimum profile is found if an increase in the bulk recombination contribution balances the decrease of the surface recombination component. Figure 2.10a shows what happens with a surface recombination velocity of Sh = 104 cm s"1. In this case, optimum open-circuit voltages are found for peak doping concentrations around 5 x 1019 cm - . More detailed models require numerical calculations, as described in the next section.
Device Physics of Silicon Solar Cells
a)
67 b)
V^lmV] tors, = 10'cm/s
«»» ImVJ lor
665 670
100
661 666 653 657 • 644 648 644 ^ • 6 3 5 639
v
• • 6 5 7 661 • 648 653
•1
•1639
••
200
300
400
junction depth [nm]
500
100
623 609 596 582
S = 10'cm/s
630 616 603 589
••1616 • 1•5 7 5
200 300 400 junction depth [nm]
623 609 596 582
500
Figure 2.10 Maximum achievable open-circuit voltages for emitters with different gaussian doping profile shapes. The graphs were calculated with the Park model discussed in this section, (a) surface recombination velocity S* = 104 cm s"1; (b) S* = 106 cm s~'.
2.5 Numerical solar cell modelling So far we have treated the solar cell analytically in one dimension. In practice more sophisticated numerical models must be used to describe a 'real' solar cell and to allow for quantitative comparison of simulation results with solar cell measurements. More accurate models require two- or three-dimensional solar cell simulations, particularly with regard to the lateral current density flow, which may be substantial, to describe most of the high efficiency solar cell structures. Numerical simulation techniques have been extensively used to quantify optical and electrical losses for many solar cell structures. Aberle et al. (1994) presented a numerical optimisation study of high-efficiency silicon solar cells with rear pointcontact patterns. This cell type shows low minority carrier recombination losses at the rear surface due to the small rear-surface metallisation fraction. This 2D parameter study took lateral current components due to the point contacts into account. Recombination losses at the cell perimeter can also be described with numerical methods, as described in Section 2.5.3 (Altermatt et al., 1996a).
68
J. O. Schumacher and W. Wettling
Distributed resistive losses in the semiconductor material and in the front metal grid of high-efficiency silicon solar cells have been investigated using a combination of device simulation and circuit simulation. Such a combination allows the simulation of complete solar cells, instead of the usually restricted simulation domain, which is kept to a geometrically irreducible minimum. With the inclusion of the whole device domain, the predictions became so precise as to contribute significantly to an increase in the world record efficiency of silicon solar cells (Altermatt et al, 1996b). Optical and electrical losses of silicon-on-insulator thin-film solar cells with interdigitated front contacts were analysed by Schumacher et al. (1997). These cells have two- and three-dimensional current flow patterns as well as a textured front surface for light trapping. Their performance was modelled by a combination of 3D optical ray tracing with 2D electrical device simulation. Using ray-tracing programs, the spatially dependent photogeneration rate of cells with textured surfaces can be calculated numerically. For example, mechanically textured silicon solar cells were investigated by means of ray-tracing simulation by Zechner et al. (1998). Another solar cell structure with pronounced lateral current flow is the rearcontact cell of Swanson (1986). As both the emitter and the base of this cell are contacted at the back side, there are no front-surface shading losses. Furthermore, this cell type allows for simplified module assembly because of the single-sided metallisation. We discuss the numerical simulation of rear-contacted silicon cells in detail in Section 2.5.3 (see also Dicker et ah, 1998). To describe current transport in metal-insulator-semiconductor silicon solar cells, a quantum mechanical model describing the tunnelling of charge carriers through the tunnel insulator of the metal-insulator contact is needed. The resulting set of equations cannot be solved analytically without making severe simplifying assumptions. A detailed numerical model utilising two-dimensional device simulation and circuit simulation was presented by Kuhlmann et al. (2000).
2.5.1 Solving the semiconductor device equations numerically For the numerical calculation of solar cell performance, the device equations 2.1, 2.6 and 2.7 are solved at discrete mesh-points in space. A comprehensive treatment of discretisation methods for semiconductor device simulation can be found in Selberherr (1984). In order to solve the Poisson equation and the electron and hole continuity equations numerically, we shall adopt the box scheme described by Burgler
69
Device Physics of Silicon Solar Cells
Figure 2.11 The graph shows part of a discretisation mesh for the electrical device simulation: solid lines are drawn between neighbouring mesh-points. The shaded area represents the volume Q, of a single box for a triangular discretisation mesh in two dimensions.
(1990) and Heiser (1991). The device volume is discretised, that is, a symmetry element of the device is divided into boxes. Figure 2.20 shows a sample discretisation of a symmetry element of a rear-contact cell. A simple discretisation mesh can be constructed out of rectangular boxes. However, a more efficient approach that consumes less computer resources is to allow for triangular boxes. Such triangular boxes can be seen around the enlarged ncontact in Fig. 2.20. A single box Q\ of a two-dimensional discretisation mesh for one node (' (mesh-point) of the symmetry element is shown in Fig. 2.11. The boxes have to be constructed in such a way as to cover the whole symmetry element. Therefore, box boundaries (dashed lines) are chosen to lie on the perpendicular bisectors of lines between neighbouring nodes. In the following we will derive the discretised form of the Poisson equation, eq. 2.1. For this purpose, we will use the fact that an electrostatic field £ is conservative, meaning that Gauss's theorem is valid, so that the surface integral of £ over a closed surface is equal to the volume integral over the total charges enclosed by the surface. More generally, the partial differential equations treated here can be stated as the conservation law
Vr(i) = S(x)
(2.135)
70
J. O. Schumacher and W. Wettling
where f(x) is a vector field and S(Jc) is a position-dependent scalar field. To obtain an equation for vertex i, eq. 2.135 is integrated over the box volume Q, using Gauss's theorem j" [ v f (*) - (*)] dV n<
= J f(x) dH(x) - J* S(x) dV = 0 an, n,
(2.136)
The first integral on the right hand side of eq. 2.136 is taken over the boundary 8Qi of the box, i.e. n(x) denotes the normal vector of the box boundary. The discretised form of eq. 2.136 can be written as
where ly is the projection of the vector field f(x) onto the edgeL from node i to node j (Fig. 2.11), dy denotes the length of the perpendicular bisector on this edge, and Si is the value of the scalar field S(x) at node i. In two dimensions, Vj is the area of box Q„ and in three dimensions it is the box volume. The sum in eq. 2.137 extends over all nodes j that adjoin node i. Applying eq. 2.137 to the Poisson equation, eq. 2.1, yields
The electric field £ in eq. 2.138 can be expressed as the differential quotient £v = (0, ~0y)//«; thus Ft - - E y ^ ,
" V.ipft + N,) = 0
(2.139)
where (j>tj = 0, - <jtj is the potential difference along ltj. A thorough derivation of the discretised electron and hole continuity equations, eqs. 2.4 and 2.5, is given in a thesis by Heiser (1991). The discretised continuity equations are F
"
3
"ST 1 »S[njB^-nMj)]
F," = -Z^-uSlpjBW-pM^
+ V,(r,-gl) = 0 + V^-g,) = 0
(2.140) (2.141)
Device Physics of Silicon Solar Cells
71
where B is the Bernoulli function B{x) =
±—-
(2.142)
(expjc) - 1
and Uy is the mobility, which is assumed to be constant along the box edge perpendicular to / y . To solve the discretised differential equations 2.139-2.141 numerically, the physical entities have to be scaled. For example, carrier concentrations are scaled by the intrinsic carrier concentration, the electrostatic potential 0 is scaled by the thermal voltage Vfl,, and the electric field is scaled by V^/Lt,, where LD is the Debye length (eq. 2.18). This scaling is essential for the numerical calculation because the potential typically varies by one or two orders of magnitude whereas the carrier densities vary over ten to twenty orders of magnitude. For the N nodes of the discretisation mesh, we obtain 3N partial differential equations from eqs. 2.139-2.141 with the solution variables 0 , n and p. These differential equations can be abbreviated as F*(,n,p) = 0 F,*W,n,p) = 0 p
Ft Q,n,p)
(2.143)
=0
These equations can be solved by the Newton method. Given the nonlinear system of equations 2.143 written as F(z) = 0
(2.144)
the Newton procedure iteratively computes a new solution zf+1 = zf + 8skz?
(2.145)
from the old one z*. The update Sskzk is found as the solution of the equation
E^YT 2
5s
"zj = ~mk)
(2-146)
To achieve numerical convergence of the Newton iteration, a damping factor 0 <<ssk
72
J. O. Schumacher and W. Wetlling
Equations 2.137-2.146 can be stated for one, two and three dimensions, as discussed in ISE-TCAD (1997). An example of a one-dimensional solution is given in the next section, and the two-dimensional case is treated in Section 2.5.3. In modern device simulators, different solution methods can be chosen. It is possible to solve all 3N partial differential equations 2.144 together ('coupled solution'), but another method with less memory demand and faster convergence for low- and intermediate-injection conditions is the 'plug-in method': Here the N Poisson equations Fj((p,n,p) = 0 are first solved. The resulting potential 0(x,-) is then inserted into the electron continuity equations F" (<j>, n,p) = 0, and iteration by the Newton method yields a new electron density distribution n(x,). Both 0(*,) and n(Xj) are used to solve the hole continuity equation Fjp(0,n,p) = O.
2.5.2 A sample cell To illustrate how eq. 2.144 may be solved numerically, we will use it to model a p-n junction solar cell with diffused doping profiles in one dimension. Figure 2.12 shows the cell model. The base is a 250 \im thick layer of homogeneously doped p-type silicon, and a back-surface field is built into the cell to reduce the surface recombination velocity at the rear surface. The doping profiles for the emitter and the back surface field are of gaussian shape, as shown in Fig. 2.12b. (a)
^?
'• *•
antireflection coating /
light
(b)
n-type emitter p-type base NA = const. back surface field
Figure 2.12 One-dimensional model of a planar silicon solar cell with gaussian doping profiles: (a) cell geometry, showing the series and shunt resistances R, and Rp: (b) doping density distribution. The following parameters were chosen for the simulation: junction depth = 1.4 ftm, base diffusion length U, = 350 urn, cell thickness = 250^m, velocity S = 800cms"', backside surface recombination velocity = 106cms""'. OneSun (AM 1.5) illumination and a gaussian doping profile with a peak doping density of 5 x 1018 cm"' were assumed. The calculated cell output parameters were: Ue = 37.6 mA cm""2, K* = 626 mV, r/c,n =' ^=17.2%.
73
Device Physics of Silicon Solar Cells
Most of the restrictions of the analytical models can be overcome by solving the transport equations numerically. For example, the doping dependence of the charge carrier mobility (mentioned in Section 2.4.8) can be included. Band-gap narrowing in heavily doped regions of the cell, arising from many-body interactions of the charge carriers, can also be incorporated. Moreover, the coupled set of differential equations 2.144 can be solved for both intermediate- and high-injection conditions, whereas analytical solutions can be found only for low-injection conditions. Figure 2.13 shows the simulated space-charge density, the electric field and the inner potential across the p-n junction for the cell of Fig. 2.12. The simulations were performed with the program PC ID, which is commonly used for one-dimensional solar cell simulations (Rover, 1985; Basore, 1997; Basore, 1988). The curves were calculated for three terminal voltages: V = 0, V = Vmp, and V = Vx. Note the difference between the results in Figs. 2.3 and 2.13. The numerically simulated spacecharge density distribution is smooth by comparison with the abrupt analytical case. The highest space-charge density is found for short-circuit conditions. Applying a forward bias to the p-n junction injects carriers into the depletion region and reduces the space-charge density. The electric field in the space-charge region is also reduced by forward bias, as can be seen in Fig. 2.13. In contrast to the abrupt-doping case, the electric field does not vanish in the «-type quasineutral region. The net force on an electron is given by dflnn(x)] Fe = qS{x) + i t r - i — djc
(2.147)
where the first term of eq. 2.147 is the drift force and the second term is the diffusive force. At equilibrium, the net force on an electron is zero. Substituting the electron density n(x) by the gaussian doping profile ND(x) =
(x-Hn)2
ND(Hn)cxp
2a2
(2.148)
where a is the standard deviation. Setting Fe - 0 in eq. 2.147 yields x— H
£«
= V,H
r~
(2-149)
a Thus, a doping gradient of gaussian shape produces the linear dependence of the electric field on position shown in the n-QNR of Fig. 2.13.
74
J. O. Schumacher and W. Wettling
Figure 2.14 shows the numerically calculated band-edge energies, quasi-Fermi potentials, carrier densities and current densities for short-circuit conditions, for the cell parameters as listed in the caption of Fig. 2.12. The equilibrium carrier densities shown as black curves in Fig. 2.15b can be compared with Fig. 2.4. Again, the electron majority concentration in the quasineutral region is given by the doping profile. The small electron minority concentration gradient in the p-type quasineutral region is due to the choice of a diffusion length, Lb = 350 /xm, which is greater than the cell thickness of 250 /im. This is typical for high-performance c-Si cells. To solve the differential equations for the carrier densities, it was assumed that the photogenerated carrier density vanishes at the depletion-region edge. In Section 2.3.5, this was expressed by the boundary condition npn(-Wp) = 0 (eq. 2.87). That is, in the analytical approximation the space-charge region serves as a perfect sink for minority carriers: minority carriers at one edge of the space-charge region are transferred to the opposite edge, where they emerge as majority carriers. We can check this boundary condition by looking at Fig. 2.15b, which shows the dark and illuminated charge carrier densities for short-circuit conditions. The numerical simulation reveals that the boundary condition 2.87 is an idealisation for short-circuit conditions. However, this assumption is well justified for open-circuit conditions, in that the differences between the dark and illuminated minority carrier concentrations at the depletionregion edges are small for V = V,*, as can be seen in Fig. 2.17b. The quasi-Fermi levels are separated by the simulated open-circuit voltage of 626 mV (eq. 2.47). This can be seen in Fig. 2.17a. Under illumination, the electron and hole currents ie and ih are mainly recombination currents at open-circuit conditions. The small total current density depicted by the red dotted line in Fig. 2.16c represents the current feeding the external shunt resistance Rp.
2.5.3
Multi-dimensional device simulation
To analyse high-efficiency silicon solar cells, the simulations need to be extended to two and three dimensions to allow quantification of all relevant loss mechanisms. As an example of a 2D-simulation, we shall consider the rear-contacted bifacial cell. shown in Fig. 2.18a. Random upright pyramids on the illuminated front side of the cell minimise the external reflection losses. Nearly all of the rear side of the cell is covered by the collecting n-type emitter, mainly to prevent minority electrons from recombining at the rear side. A non-contacted ('floating') emitter at the front surface provides a small front surface recombination velocity. The simulation steps are set out in Fig. 2.19 (Dicker, 1998).
Device Physics of Silicon Solar Cells p-QNR
75 n-DR
p-DR
n-QNR
illuminated short circuit maximum power open circuit
0.0
x[\tm] Figure 2.13 (a) Space-charge density p(x); (b) electric field e(jc); and (c) inner potential 0(x) across the p-n junction of the cell shown in Fig. 2.12. (Compare with the idealised Schottky exhaustion layer case shown in Fig. 2.3.)
76
J. O. Schumacher and W. Wettling
Short-circuit conditions 1
1.2
•
I
1
' (a)
-1
"a
0.8
Pe 0.4 |-
I
K
-0.4
h I
dark
. .
-0.8
u,
Conduction band Valence band
I
•
0.0
I
Hole QFE
-1.2
l
.
i
—i
i
i
->— —
i
i
Conduction band • Valence band Electron QFE Hole QFE 1
1
•
i
L_
10* 10'7 4
P
10"'h-
io' 3 10"
B
10 9
L [
10
n.illuminated
:
Electron density Hole density
7
^"\j
illuminated
dark
10 6 •
Electron density Hole density
n,d ark
10 3 -j 10'
)
0.04
I
*
.
i
I
.
'
i
I
1
r
1
1
••
(
_i •
i
0.03 :(c)
/
siiy [A/C
~r^ 0.02 h
A
0.00 •
L
dark
i
-0.0?
•.
-0.03
i
% -0.01 %
Eno
tool
0.01
-0.04 -250 •
-
illuminated
Electron current density Hole current density Total current density
Electron current density Hole current density Total current Density
•
•
-200
-150
•
x[um]
1
-100
•
•
-50
i
1
0
Figure 2.14 A cut through the whole cell for short-circuit conditions. The black curves are calculated for dark conditions, and the red curves for illuminated conditions, (a) Band-edge energies and quasi-Fermi energies (QFE); (b) electron density and hole density; (c) electron current density, hole current density and total current density.
77
Device Physics of Silicon Solar Cells
p-QNR 1.2
Short-circuit conditions p-DR tf-DR
n-QNR 1
ue
(*)
•
'
illuminated
-
Conduction band
-
0.8 Pe
5 1 0.4 2L ra
Valence band Electron QFE
\
- - Hole QFE
f\ H dark
c
\
!....
-0.4
Conduction band
-0.8
Valence band Electron QFE
i
^
uv
m. \
-
Hole QFE L
-1.^
10'9
1
1
i
'
1
(b)
10'7 "
P
n
J
io16
r
.o, 10
/
n.illuminated
f 10" c
S |
1097 10
°
s
p.illuminated
h
dark
\
Electron density
Electron density Hole density
Hole density
10
-
illuminated
-
*
103
n dark
JAI
10
y.UH
0.03
...q
•
.(c)
i
•
i
•
i
:
'**
-
Sg 0.02
-
^0.01 co 0 . 0 0 c c:
| -0.02 o
Electron current density Hole current density
Electron current density Hole current density Total current density
-0.03 -0.04
i
-1.0
-015
-
Total current density X-
i
Figure 2.15
•
illuminated
dark
2 -0-01
..-wp
-
t ,
0.0 x[um]
1
' 0.5
1
*
1.0
Enlargement of the emitter region for short-circuit conditions.
•
78
J. O. Schumacher and W. Wettling Open-circuit conditions
i
' ™
•
1
1
illuminated •-
Conduction band Valence band
(a) 0.8
CD
-i—
•
Conduction band Valence band
Flartrnn OFF
tieciron u r t Hole QFE
Hole QFE
I
—
i—i—i—,—b
dark i
1.2
0.4 >
.....A
0.0 1
C
CD
-0.4 h -0.8
\
-1.2 10' 9
i
-i
r
-•
1
•
i
.
•
i
i
•
P
-
i
15
i "
1(b)
10" 10
-
fi,
10" 109 107 10" 10' 10' 0.04
-r i—r i i i i i I-MJ
carrier density [cm
•
n
10' 3
0.03
dark
illuminated
Electron density Hole density
Electron density Hole density
i
i
.
0.01
i
t
(0)
•T" 0.02 <
i
hole current for illumination total current for illumination
•I" o.oo I -0.01
I -0.02 u
electron current for illumination -0.03 I-0.04
-200 — i
-150 1
- Electron current density • Hole current density • Total current density
i
x[um] 1
-100 1
-50 1
1
Oj •
Electron current density Hole current density Total current density
Figure 2.16 A cut through the whole cell for open-circuit conditions (V = Vcc). The black curves are calculated for an applied voltage equal to V,* of the illuminated cell.
Device Physics of Silicon Solar Cells M _ p-QNR
Open-circuit conditions p.DR n-DR
79
n-QNR
Electron current density Hole current density Total current density
Figure 2.17
Enlargement of the emitter region for open-circuit conditions.
80
J. O. Schumacher and W. Wettling
p-conlact pad
n-contaot pad
Figure 2.18 Structure of a rear-contact cell, (a) View of the back side of the rear-contact cell showing the interdigitated contact pattern, (b) Enlargement; with the cell shown upside down, so the light illuminates the cell from below.
The reflection and absorption properties of textured silicon solar cells can be calculated with a ray tracing program (Schumacher, 1995; Wagner, 1996). An optical symmetry element suitable for the ray-tracing simulation of the random pyramid texture of the rear contact cell is shown in Fig. 2.19a. Front-side illumination on the random pyramids is approximated by calculating the geometric path of a monochromatic light ray of random incidence on a single upright pyramid. The intensity of each traced ray is reduced because of light absorption in silicon, and the tracing procedure stops if the light intensity is lower than a certain threshold value. Ray tracing allows the calculation of the wavelength- and angle-dependent reflection at each interface, including light interference at thin layers that simulate antireflection coatings. Rough cell surfaces can be modelled by adding a random angle offset to reflected rays. The angular distribution of a large number of traced rays is computed to fit a chosen scattering model for rough surfaces. Applying eq. 2.119 to each (oblique) ray path allows the calculation of the generation rate of charge carriers: the amount of monochromatic light absorbed in each layer shown in Fig. 2.19a is monitored. Solving the integral equation, eq. 2.122, yields the generation rate needed for the electrical device simulation. In a numerical solar cell simulation, the 3D-distribution of charge carrier generation arising from the surface texture cannot be handled; spatial resolution within a single pyramid, of say 5 /tm base length, is not compatible with the wide contact spacing of ~500^m. Resolving the pyramids for the electrical simulation
Device Physics of Silicon Solar Cells
Ray Tracing
j»- 5
ijm
to)
ispas ffiSMia Generate Discretisation Mesh
Devica Simulation
U H U H l l t l H ; ^ H I I H I U H I I i • • H t l l l t H I H S • • H l l t t l UOJ-Ui . % i, A, i \. t w 4
Figure 2.19 Simulation flow for the numerical calculation of the optical and electrical properties of a Si solar cell, (a) A single upright pyramid of 5 pm width is the symmetry element for the optical ray-tracing simulation; (b) the discretisation mesh is generated in the next step; (c) for the electrical device simulation, the optical generation profile and the discretisation mesh calculated in the previous two steps are used; (d) the current-voltage characteristic from the device simulator is used as input for the circuit simulation, taking into account the voltage drops along the metal bus bar and the metal fingers of the solar cell.
would increase the number of mesh points by a factor of at least 100. Thus, a ID projection of the 3D generation function calculated by ray tracing is necessary. This is achieved by simply summing up the generated electron-hole pairs in layers of the same distance from the pyramid surfaces.
82
J. O. Schumacher and W. Wettling
a) Optical (3D)
b) Electrical (2D)
200 nm
15 pm
A
Figure 2.20 Optical and electrical discretisation of the cell volume, (a) The optical properties of random pyramids on the cell front are approximated by the optical symmetry element of a single upright pyramid. A vertical slice through one pyramid is shown here, (b) The mesh for the electrical simulation was generated with the program MDRAW (ISE-TCAD, 1997). The high refinement in the top region is important for the calculation of the short-circuit current density because of the very high gradient of the optical generation rate in this cell region. For the electrical discretisation mesh of the rear-contact cell shown here, the contact regions are resolved as a function of the doping gradient.
Device Physics of Silicon Solar Cells
83
For electrical device simulation, the device volume must be discretised. Figure 2.20 shows the discretisation mesh of a symmetry element of the rear-contact cell, including one n-to-p contact finger distance. A high density of mesh points in device regions with a steep doping gradient is needed for convergence of the iteration scheme. This is shown in Fig. 2.20 by the enlargement of the mesh around the region of the n-contact. To calculate a realistic short-circuit current, the density of mesh points at the illuminated front surface must be very high., so the discretisation mesh is adapted to the gradient of the generation function. In the next simulation step, the box scheme as described in Section 2.5.1 is applied to the discretisation mesh. Solving the discretised differential equations 2.144 for different applied voltages as boundary conditions yields the I-V curve of one elementary diode, including one n-to-p contact finger distance of the device. So far, we have looked at device simulations performed with a symmetry element of the interior cell region, and neglected resistive metal grid losses and recombination losses at the cell perimeter. Recombination losses at the cell perimeter occur mainly because cutting the cells out of the wafer creates recombination centers at the cut face. However, perimeter recombination losses also degrade the efficiency of cells that remain embedded in the wafer, because of minority-carrier recombination at highly recombinative wafer regions outside the cell area. We shall now make allowance for this effect. We shall also include the resistive losses of the interdigitated metal grid, using the circuit simulation method described by Heiser (1995). Losses due to recombination of charge carriers at the device perimeter can be quantified by introducing I-V curves of the perimeter region into the circuit simulation. The perimeter region represented by a perimeter diode is shown at the top of Fig. 2.21. Half of a p-contact, the collecting emitter and the shaded cell perimeter are included in the perimeter diode. The recombination velocity at the non-diffused cell surfaces is higher in comparison with the inner cell parts because the n-type diffusions at the front and back side of the cell cease at the inner edge of the metal area mask that defines the active cell size. The effect of this enhanced perimeter recombination on the electron current flow can be seen in Figs. 2.21b and 2.21c. The metal area mask is indicated by the black bars on top of the enlargements. Figure 2.21b was calculated for shortcircuit conditions, for which the current flow pattern reveals mainly vertical carrier transport. The recombination fraction increases towards the perimeter for maximumpower conditions, as seen in Fig. 2.21c. Clearly, numerical simulation allows us to quantify the perimeter recombination currents and helps to develop strategies for the minimisation of these parasitic losses. The distributed resistance of the interdigitated metal grid can also be accounted for by
84
J. O. Schumacher and W. Wettling
(a)
,
elementary diode i
perimeter diode
random pyramids
\ \ f^
p-contaet
^c5-^'"*
(b)
v
,s
(c)
1
\
«v. *" ** ^
'
: J J1
pwp::: .,
1 'l
*§®~®3 * 2 ® ~ 0 2 4 ^ ® - 0 g
Figure 2.21 Recombination losses towards the edges can be accounted for by simulation of the perimeter region of the solar cell. The arrows indicate the direction of positive current flow, opposite to the direction of electron flow in the perimeter region, (a) Vertical section through cell, including perimeter region; (b) enlarged view of the edge of an «*+-contact at short circuit; (c) the same view under maximumpower conditions.
using circuit simulation (Altermatt el aL, 1996b). The total current flow causes a voltage drop along the metal grid. Thus different cell regions, represented by the twodimensional symmetry elements in the model, are driven by voltages differing from the voltage at the cell terminals. The losses due to this are known as non-generation losses. The simulated voltage drop along the metal grid is shown in Fig. 2.22. Distributed resistive and non-generation losses limit the cell efficiency, especially for cells with high current output, such as concentrator cells and large-area cells.
85
Device Physics of Silicon Solar Cells
(a)
1 ? 1 V'rriV
P~[ p
r~EH -0-THJD- frCS— e
h-*-K
elementary diode ohmic resistance
FF~- ••! t
~EH^~Er~* •^"Vj
H"F - '
[
metal grid (n)
i
metal grid (p)
HS-
c1
perimeter diode
T
area definitions for F>~] the voltage sources §§$s
(b)
along metal busbar [mm]
Figure 2.22 Voltage drop in the metal grid as calculated by a circuit simulation, (a) Elementary diodes and perimeter diodes in an electrical circuit representing half of the solar cell; (b) distributed voltage drop over the n-type metal grid. The lowest point of the surface indicates the position of the contact pad of the metal bus bar.
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J. O. Schumacher and W. Wettling
2.6 Concluding remarks This chapter has presented a review of the theoretical treatment of silicon solar cells. Starting from the general semiconductor device equations the theory of the p-n junction solar cell was described, beginning with simplified models and proceeding to more 'realistic' cells with design features that can only be calculated with the help of numerical methods. In particular, calculations of solar cell parameters using the onedimensional simulation program PC ID and the three-dimensional semiconductor device simulation program DESSIS were discussed. Whereas PC ID is widely used in the photovoltaic R&D community, 2D and 3D modelling is performed in only a few laboratories worldwide. This more involved device modelling is usually necessary only for high-efficiency solar cells. It demands a very good knowledge of the semiconductor material parameters, which is available only for single-crystal semiconductors. These 2D and 3D simulations are therefore used mainly for crystalline silicon and III-V compound devices. Solar cells made of silicon, an indirect semiconductor with a large absorption length for light and currents flowing parallel and perpendicular to the surface, have profited most from numerical calculations. On the other hand, the detailed analysis of high-efficiency silicon solar cells has contributed to a better understanding of material parameters. Process technology, characterisation and device modelling are the three pillars on which progress in solar cell development is based. It is to be expected that a fruitful interaction of these three fields of work will further improve solar cell efficiencies from the present 24 % towards their theoretical limit.
Acknowledgements The authors would like to acknowledge the important contributions by Jochen Dicker of Fraunhofer ISE to Section 2.5 on numerical solar cell modelling. We appreciate reviews and comments on this text by Anne Kovach-Hebling, Peter Koltay, Dominik Huljic, Jens Solter, Wilhelm Warta and Sebastian Schafer of Fraunhofer ISE. Also, we thank Holger Neuhaus and Pietro Altermatt of the Photovoltaics Special Research Centre of the University of New South Wales, Sydney for reading parts of the manuscript and making constructive suggestions. We also wish to acknowledge with gratitude the special assistance we received from the volume editor, Mary Archer. We are further indebted to Elisabeth Schaffer for technical editing of the manuscript.
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References Aberle A. G., Robinson J. R., Wang A., Zhao J., Wenham S. R. and Green M. A. (1993), 'High-efficiency silicon solar cells: fill factor limitations and non-ideal diode behaviour due to voltage-dependent surface recombination velocity', Prog. in Photovoltaics 1,133-143. Aberle A. G., Heiser G. and Green M. A. (1994), 'Two-dimensional numerical optimisation study of the rear contact geometry of high-efficiency silicon solar cells', J. Appl. Phys. 50, 5391-5405. Altermatt P. P., Heiser G. and Green M. A. (1996a), 'Numerical quantification and minimisation of perimeter losses in high-efficiency silicon solar cells', Prog, in Photovoltaics 4, 355-367. Altermatt P. P., Heiser G., Aberle A., Wang A., Zhao J., Robinson S. J., Bowden S. and Green M. A. (1996b), 'Spatially resolved analysis and minimisation of resistive losses in high efficiency Si solar cells', Prog, in Photovoltaics 4, 399414. Archer M. D., Bolton J. R. and Siklos S. T. C. (1996), 'A review of analytic solutions for a model p-n junction cell under low-injection conditions', Solar Energy Mat. Solar Cells 40, 133-176. Basore P. A. and Clugston D. A. (1997), 'PCID Version 5: 32-BIT solar cell modelling on personal computers', Conf. Record 26th. IEEE Photovoltaic Specialists Conf., Anaheim, IEEE Press, Piscataway, 207-210. Basore P. A., Rover D. T. and Smith A. W. (1988), 'PCID: Enhanced numerical solar cell modeling', Conf. Record 20th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 389-396. Burgler J. F. (1990), Discretisation and Grid Adaptation in Semiconductor Device Modeling, Ph.D. thesis, ETH-Zurich, Hartung-Gorre Verlag, Konstanz. Dicker J., Schumacher J. O., Glunz S.W. and Warta W. (1998), 'Characterisation of high-efficiency silicon solar cells with rear side contacts', Proc. 2nd. World Conf. on Photovoltaic Solar Energy Conversion, Waikoloa, Joint Research Centre of the European Commision, EUR 18656 EN, Vienna, 95-99. Fahrenbruch A. L. and Bube R. H. (1983), Fundamentals of Solar Cells, Academic Press, New York. Green M. A. (1982), Solar Cells: Operating Principles, Technology and Applications, Prentice-Hall, N. J. Heiser G. (1991), Design and Implementation of a Three-Dimensional General Purpose Semiconductor Device Simulator, Ph.D. Thesis, ETH-Zurich, HartungGorre Verlag, Konstanz.
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Heiser G., Altermatt P. P. and Litsios J. (1995), Simulation of Semiconductor Devices and Processes, Vol. 6, Springer, Vienna/NY. Hovel H.J. (1975), 'Solar cells', in Semiconductors and Semimetals, Vol. 11, Academic Press, New York. ISE-TCAD (1997), DESSIS-ISE, MDRAW-ISE, Release 4.1, ISE Integrated Systems Engineering AG, Zurich, Switzerland. King R. R., Sinton R. A. and Swanson R. M. (1990), 'Studies of diffused phosphorus emitters: saturation current, surface recombination velocity, and quantum efficiency', IEEE Trans. Electron Devices 37, 365-371. Kuhlmann B., Aberle A. G., Hezel R. and Heiser G. (2000), 'Simulation and optimisation of metal-insulator-semiconductor inversion layer silicon solar cells', submitted to IEEE Trans. Electron Devices. Marshak A. H. and van Vliet K. M. (1980), 'On the separation of quasi-Fermi levels and the boundary conditions for junction devices', Solid State Electron. 23, 12231228. Park J. S., Neugroschel A. and Lindholm F. A. (1986), 'Systematic analytical solutions for minority-carrier transport in semiconductors with position-dependent composition, with application to heavily doped silicon', IEEE Trans. Electron Devices 33, 240-249. Preu R., Schumacher J. O., Hahne P . , Lautenschlager H., Reis I., Glunz S. W. and Warta W. (1998), 'Screen printed and RT-processed emitters for crystalline silicon solar cells', Proc. 2nd. World Conf. on Photovoltaic Solar Energy Conversion, Waikoloa, Joint Research Centre of the European Commission, EUR 18656 EN, Vienna, 1503-1506. Rover D. T. and Basore P. A. (1985), 'Solar cell modeling on personal computers', Conf. Record 18th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 703-709. Sah C. T., Noyce R. N. and Shockley W. (1957), 'Carrier generation and recombination in p-n junctions and p-n junction characteristics', Proc. Inst. Radio Engineers 45, 1228-1243. Selberherr S. (1984), Analysis and Simulation of Semiconductor Devices, SpringerVerlag, Vienna. Shockley W. (1949), 'The theory of p-n junctions in semiconductors and p-n junction transistors', Bell System Tech. J. 28,435-489. Schumacher J. O., Sterk S., Wagner B. and Warta W. (1995), 'Quantum efficiency analysis of high efficiency solar cells with textured surfaces', Proc. 13th. European Photovoltaic Solar Energy Conf, Nice, H. S. Stephens & Associates, Bedford, 96-99.
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Schumacher J. O., Hebling C. and Warta W. (1997), 'Analysis and design of a thin film silicon solar cell on an insulating substrate', Proc. 14th. European Photovoltaic Solar Energy Conf., Barcelona, H. S. Stephens & Associates, Bedford, 1467-1471. Swanson R. M. (1986), 'Point-contact solar cells: modelling and experiment', Solar Cells 17, 85-118. Sze S. M. (2nd ed., 1981), Physics of Semiconductor Devices, John Wiley & Sons, New York. Wagner B. F. (1996), Dunnschichtsolarzellen aus rekristallisiertem Silicium, Dissertation, Shaker Verlag, Darmstadt. Zechner C , Fath P., Willeke G. and Bucher E. (1998), 'Two- and three-dimensional optical carrier generation determination in crystalline silicon solar cells', Solar Energy Mat. Solar Cells 51, 255-267.
CHAPTER 3
PRINCIPLES OF CELL DESIGN J. POORTMANS, J. NIJS AND R. MERTENS IMEC, Kapeldreef, 75, B-3001 Leuven, Belgium poortmans @ imec. be I had made up a considerable number of melts of pure silicon for the purpose of making specific resistance measurements ... I was making such a measurement when I noticed, while viewing on an oscilloscope the wave shape of the 60-cycle current flowing through the rod, that the current in one direction was affected by light from an ordinary 40-watt desk lamp. This entirely unexpected phenomenon was recognized as of possibly great importance in the art of light-sensitive devices and further study was undertaken forthwith. The outcome of such study is that improved light-sensitive devices and particularly photovoltaic cells of high sensitivity and great stability have been made available. 'Light-sensitive electric device including silicon', R. S. Ohl, U.S. Patent No. 2442542, 27 May 1941. 3.1 Introduction In the previous chapter the basic theory of photovoltaic conversion was discussed. Expressions for short-circuit current and open-circuit voltage were derived and it was shown which optical and electrical loss mechanisms limit the theoretically attainable conversion efficiency. Beside the unavoidable losses, {e.g. non-absorbance of photons with energy lower than the band gap and detailed-balance losses), there are also the losses associated with the chemical (impurities) and crystallographic imperfections (defects, grain boundaries, surfaces) of the material used for the photovoltaic device. This chapter will describe the geometric, technical and physical means the designer of a photovoltaic cell possesses to reduce the impact of all these losses. This description is not intended to be exhaustive, because the number of techniques is numerous and is often strongly connected to the details of the material used. The intention of this chapter is more directed towards explaining the principles that are of general validity and to providing practical examples of the application of these principles The methodology used to discuss these principles always follows a similar scheme. First the concept is introduced, together with the appropriate mathematical model
91
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J. Poortmans, J. Nijs and R. Mertens
(whenever available or necessary). Then the concept is further elucidated by a number of practical examples taken from different solar cell technologies. At the end of this chapter the reader will remark that the majority of the examples stem from the field of crystalline Si solar cells. This is due not only to the current dominance of Si-based photovoltaics on the market (market share = 80% in 1997), but also to the extreme purity of the starting Si material (as compared to other photovoltaic materials with the exception of III-V compounds) and the high degree of controllability and reproducibility of Si technology (e.g. on the level of dopant control). These features allow the study of the concepts introduced in this chapter unhindered by side effects that are often difficult to control and sometimes complicate the interpretation of experiments in other types of material. The organisation of the chapter is straightforward. First, we will briefly review the different cell types (multijunction vs. single junction, current matching for tandem cells, metal-semiconductor cells vs. metal-insulator-semiconductor cells) and compare the expected performance to the performance actually realised for the different systems. In Section 3.3, methods for maximising the absorption of light in the cell are treated. The efficient capture of incoming light and anti-reflective coatings are discussed in detail. A short note about backside reflection and backside mirrors is also included in this section. It is not sufficient to maximise the absorption of sunlight. The third and fourth sections deal with the handling and reduction of recombination losses at the surfaces and in the bulk of the cell. In this discussion we first focus on the surfaces or, more precisely, the near-surface regions. Front-surface passivation and its relation to emitter design for homo- and heterostructure cells are reviewed. The electrical design of the cell backside, including back-surface fields and floating junctions, both meant to reduce the detrimental effects of backside recombination, completes the discussion of surface passivation. In the context of bulk recombination and passivation, the detrimental effect of grain boundaries is reviewed and, associated with this, the different designs (p-n vs. p-i-n and parallel multijunction design) for coping with low diffusion lengths are treated. As a practical example, lifetime-determining factors and lifetime-restoring treatments for Shockley-Read-Hall recombination in Si are briefly reviewed. Section 3.6 deals with the design of the contacts and how to reduce resistive losses. In this section a high-level distinction is made between one-sided and twosided contact design.
93
Principles of Cell Design
3.2
Main cell types
The first question the designer of a photovoltaic cell is confronted with is what material and type of junction to use. In the first part of this chapter, a high-level distinction is made between single-junction cells and multijunction cells. Metalsemiconductor junctions are treated separately because these cells are basically different as regards the mechanism ruling the dark current behaviour.
3.2.1 Single-junction homo- and heterostructure solar cells A p-n homojunction is the most straightforward realisation of a solar cell and the dominance of Si homojunction solar cells is a testimony to the success of this approach. Figure 3.1 shows the maximum attainable efficiency of homojunctions, realised in a semiconductor with a band gap Ug under the condition that radiative recombination is the limiting factor for the cell. 34
LLj
o rr 30 Li. LU
1.0
1.2
1.4
1.6
Ug Figure 3.1 Maximum calculated conversion efficiency v.v. band gap for AM 1.5 illumination under the assumption of radiative recombination as the limiting mechanism. (After Shockley and Queisser, 1961, reprinted with permission of AIP.)
It can be seen that the band gap of Si is not far from optimal for the AM 1.5 spectrum, although it must be noted that radiative recombination mechanism is not in fact the fundamental limitation for a Si solar cell. Table 3.1 shows experimental efficiencies obtained with single-junction cells (homo- and heterojunctions) under AMI.5 illumination. The reader will note the difference between these efficiencies and what is predicted by theory. Only for Si and InP homojunctions does the homojunction approach exceed the 20% threshold. The
94
J. Poortmans, J. Nijs and R. Mertens
difference between the theoretical predictions, illustrated in Fig. 3.1, and the experimentally obtained conversion efficiencies in Table 3.1 stems from the fact that in most cases, other types of recombination dominate the cell behaviour. These recombination mechanisms are in most cases strongly related to the type of material used. In the case of crystalline Si the trap-assisted Shockley-Read-Hall recombination mechanism, especially at the surfaces, leads to a maximal efficiency which is probably limited to -25% under AM 1.5 illumination. Table 3.1
Prominent single-junction solar cell efficiencies
Cell structure InP (homojunction) Si (homojunction) CdTe (homojunction) GaAs/GalnP Cu(In,Ga)Se2/CdS CdTe/CdS
Absorber band gap/eV
Efficiency
1.34 1.12 1.50 1.42 graded 1.45
21.9 24.0 10.7* 25.7 17.7 16
Reference Keavney (1990) Zhao (1995) Barbe (1982) Kurtz (1990) Tuttle (1996) Ohyama (1997)
For the last three cell structures the second layer (the high-band-gap layer) acts as a window layer, whereas the first layer is the so-called absorber. * No anti-reflective coating.
3.2.2 Multijunction systems A single-junction cell will never provide the highest conversion efficiency because of the trade-off between current and voltage. A cell fabricated in a semiconductor with a low band gap will provide a larger current because of its good light absorption over a broader spectral region. However, it will never produce high open-circuit voltages, because, in principle, the open-circuit voltage can never exceed the band gap of the material. In practice the open-circuit voltage is limited by the large dark currents in a low-band-gap material. This is shown by eq. 3.1a for the Auger-limited recombination current lb at forward bias V for a base region in the low-injection case. lb=q%-CN2bWb™P
qV_ -1 kT
(3.1a)
where Wb is the base width, Nb the base doping, Ug the band gap of the semiconductor
95
Principles of Cell Design
under consideration, and n, the intrinsic carrier concentration, given by s_ ii; = NCNV exp kT V
(3.1b)
The reader can easily verify that the open-circuit voltage Vx, given by eq. 3.1c, r
V.=^-
L^
/„
(3.1c)
+1
where /sc is the short-circuit current, will decrease for a material with lower band gap. A way to get around this problem is to use multiband-gap systems. By spectral splitting of the sunlight, the light can be directed towards cells with the matched spectral sensitivity. In this way, one can increase the energy conversion efficiency of the total system to values far beyond what is achievable by single-junction cells. A calculation of the limiting efficiency of a photovoltaic system with an infinite number of cells with matched band gaps was made by Araujo and Marti (Araujo, 1994). The system discussed by these authors would require the use of spectral splitters and concentrating lenses. A more economical approach is to stack several cells with different spectral sensitivity. The cells can be mechanically stacked (see Fig. 3.2a).
cover glass
\\w\\\\\\w^ nadhesive -AlGaAs \ ,
. /
+
front contact grid
/
\ +
p-AlGaAs
n -AlGaAs
/)+-AlGaAs
p-AlGaAs
adhesive n+-Si />-Si
p+-AlGaAs n+-GaAs
tunnel junction
p-GaAs
Back contact (a)
(b)
Figure 3.2 (a) Mechanically stacked multijunction cell configuration (from Gale, 1984, reproduced with permission from IEEE); (b) Example of monolithic cascade system.
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J. Poortmans, J. Nijs and R. Mertens
This process is however quite demanding as regards the mechanical and electrical connections to be made. A more straightforward approach is to grow the sub-cells on top of each other (Fig. 3.2b), making so-called monolithic cascade systems. The subcells are then connected through tunnel junctions. In the two-terminal configuration, the voltages of the sub-cells are added. The main design criterion is the current matching of the sub-cells, as illustrated in Fig. 3.3, since the equivalent circuit clearly shows that large internal losses will occur if the current-matching condition is not satisfied.
Iph(cell 1)
Iph(celi:
Figure 3.3
Equivalent electrical circuit for a two-terminal cascade solar cell under illumination.
The efficiencies achievable with a combination of two sub-cells depend on the band gaps of the top and bottom cell and the spectrum of the incoming light, as discussed in more detail in Chapter 8 (see Figs. 8.4 and 8.5). Table 3.2 shows results from a number of prominent two- and three-junction solar monolithic cascade cell. The tandem approach can be extended to more junctions at the expense of increasing processing complexity. One can allow for higher processing complexity when the cell efficiency is the main consideration, as is the case in space solar cells where generated power per unit weight is the crucial factor. As a result, the use of multiple-junction designs has been intensively studied in the domain of space solar cells. Multiple-junction designs are also of high importance in a-Si:H cells. The Staebler-Wronski effect (breaking of Si-H-bonds under illumination) has a detrimental influence on the stability of the cells by decreasing the electrical field in the intrinsic part of the cell, which increases bulk recombination. This can be countered by reducing cell thickness, but this is at the expense of lower absorptance. The cell absorptance can be maintained and even increased by stacking cells with different chemical compositions in multiple-junction configurations. The spectral sensitivity of the cell can be extended to the lower energy region by alloying a-Si:H
97
Principles of Cell Design
with Ge, whereas alloying with C results in a higher band gap. These double or triple junctions extend the spectral sensitivity and, in addition, improve the stability of the cells as compared to the single-junction case. Table 3.2
Prominent efficiencies obtained with monolithic multij unction cells Efficiency
Reference
GalnP/GaAs, GalnP/GaAs/Ge AlGaAs/GaAs a-Si / a-SiGe / a-SiGe *
30.3 (AM1.5) 25.7 (AMO) 27.6 (AM1.5) 13 (AM1.5)
Takamoto, 1997 Bertness, 1994 Chung, 1990 Yang, 1997
Micromorph **
12(AM1.5)
Shahetal,
Cell structure
1997
*= stabilised efficiency; ** = combination of an a-Si:H top cell and a small-grain polycrystalline Si bottom cell grown by very high-frequency glow discharge.
3.2.3 Metal-semiconductor and metal—insulator—semiconductor junctions The two previous sections considered junctions between two semiconductors. In principle, a metal-semiconductor junction (Schottky diode) with rectifying properties would also be suitable for the construction of a solar cell. When the optical transparency of the thin metal layer is sufficient, the photons, penetrating into the semiconductor, generate electron-hole pairs, which are separated by the field in the depletion layer at the metal-semiconductor surface (see Fig. 3.4).
Metal hv
Semiconductor
^
o»~
t
*
v
d
1' * b
-*4
Figure 3.4 Band-gap diagram for a typical Schottky junction, realised on an n-type semiconductor. Under illumination, the holes are collected by the field in the depletion layer near the metal-semiconductor junction.
98
J. Poortmans, J. Nijs and R. Mertens
Although at first sight attractive from the point of view of ease of production, this approach suffers from limitations caused by the high dark currents flowing in such structures as compared to the heterojunction approach discussed above. These high dark currents are composed of majority carriers which flow by thermionic emission over the barrier
kT
exp
kT
-1
(3.2)
where A** is the Richardson constant and V is the forward bias over the metalsemiconductor junction. In addition, the barrier height is reduced by image effects that are a function of the doping level. Even when assuming 100% light transmission through the metal, the predicted efficiency of solar cells based on metalsemiconductor junctions will be below 10% (see e.g. Hovel, 1975). A relatively new approach to overcome this limitation consists in using the absorption in the thin metal layer to excite 'hot carriers' over the barrier. Schmidt (1994) predicted that this could enhance the efficiency by 10%, but no experimental confirmation of this approach has yet been reported. From the technological point of view, it is not straightforward to realise metal-semiconductor junctions with reproducible barrier heights, because these are strongly influenced by interfacial contamination and crystal orientation. However, the interpolation of an interfacial oxide between the metal and semiconductor can be used advantageously to increase the barrier height and thereby Thin insulator = tunneling layer Metal /
Semiconductor
nitride induced n -type inversion layer (by nitride layer with large fixed positive charge) p -Si substrate
backside contact (a)
(b)
Figure 3.5 (a) Band-gap diagram for a cell with an MIS contact under equilibrium conditions; (b) Schematic cross-section of an MIS-IL Si cell.
Principles of Cell Design
99
decrease the dark current. When this approach is used, the thickness (2-4 nm) of the oxide is chosen so that the minority carriers can tunnel through the oxide (see the band-gap scheme of Fig. 3.5a). Such a device is called a metal-insulatorsemiconductor (MIS) solar cell. Much effort has gone into the development of Si MIS-technology. The most popular design is the MIS-inversion layer (IL) cell (see Fig. 3.5b). This cell configuration is realised by depositing a nitride layer, containing a large fixed positive charge, on a p-type Si-substrate. This induces an rc-type inversion-type emitter, which is contacted through an MIS contact. An alternative is the MIS-contacted n+-p Si solar cell. The ongoing research to optimise the latter MIS-approach has resulted in cell efficiencies above 20% (see Metz, 1997) and efficiencies as high as 23% are predicted (Kuhlmann, 1997) for a MIS-inversion layer cell.
3.3 Optical design of cells This section on optical cell design is divided into two parts. Section 3.3.1 deals with the design of the front and back surfaces to ensure that the light is efficiently coupled into the cell body. Different light-trapping schemes and their practical implementation are reviewed. Section 3.3.2 deals with the properties of anti-reflective coatings. The optical optimisation of cell surfaces divides into two questions: how can light be coupled efficiently into the cell and how can it be kept in the cell once it has entered the cell to ensure maximal absorptance? The first question basically addresses the reduction of the primary reflectance of the front surface whereas the second is related to the development of light-trapping schemes. The second item will be dealt with first because the light-trapping schemes discussed also affect the front-surface reflectance and are of primary importance for the cell's open-circuit voltage because they allow reduction of the necessary thickness of the cell, and thereby the volume for bulk recombination (see eq. 3.1a). Module design also influences optical design. Low-concentration approaches (e.g. prismatic covers) and bifacial cells are additional means to improve optical absorptance, but these will be omitted from the subsequent discussion.
3.3.1 Light trapping Light trapping has been extensively studied in the context of Si solar cells. The indirect band gap of Si results in an absorption coefficient that is lower than 10 cm"1
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J. Poortmans, J. Nijs and R. Mertens
in the wavelength region where the terrestrial solar spectrum contains most energy (450-750 nm). The reader should therefore not be surprised that the bulk of theoretical and experimental work on light trapping has been done for Si, although improving the absorption of weakly absorbed light is in principle interesting for all types of cells. Two basically different types of light-trapping schemes can be distinguished: schemes based on lambertian surfaces, and those based on geometrical light-trapping schemes. A lambertian surface is one that scatters light uniformly in all [forward] directions, and lambertian light-trapping schemes are based on full internal randomisation of the light ray direction by a lambertian surface. Two possible implementations are shown in Figs. 3.6a and b. The first is based on a perfect lambertian rear reflector and a front surface with zero reflectance for the incoming light (a reflectance as low as 5% is readily feasible). The second is equivalent as far as the final result is concerned, but relies on a randomising front surface and a perfect rear reflector.
Lambertian frontside
Critical angle
KV&V^^V^^^^^ Lambertian backside
(a)
(b)
Figure 3.6 (a) Schematic of a cell with a perfect lambertian rear reflector and front surface with zero reflectance; (b) schematic of a cell with a perfect specular rear reflector and a lambertian front surface.
A detailed analysis of randomising schemes has been performed by Jablonovitch and Cody (1982). The basic result coming out of their analysis is the intensity enhancement of 2n inside a sheet with refractive index n and a perfect white reflector at the backside. This can easily be understood from basic statistical mechanics arguments. Under equilibrium conditions, the in- and outgoing radiation fluxes have to be equal. Since the fully randomised light inside the cell can only escape over a limited solid angle, determined by the critical angle for transmission of light from an optically dense material to a material with lower refractive index, the intensity inside the cell has to increase. Only under these circumstances can the in- and outgoing
101
Principles of Cell Design
radiation fluxes remain equal. Jablonovitch and Cody showed that this results in an optical path length enhancement of An2 for weakly absorbed light. The spectral absorptance a(k) for a material with refractive index n, thickness W and absorption coefficient a(X) is given by
a(X) =
—
(3.3a)
a(A) + —r— An W The same result is found from a calculation of the average pathlength for weakly absorbed light inside the structure of Fig. 3.6a, by averaging over all possible directions and assuming a l/n2 probability for escape every time the ray strikes the front surface (see e.g. Green, 1995 and references therein). The assumption of total loss of all the light within the escape cone for cells with a lambertian backside has been critically reviewed in a recent publication (Abouelsaood, 1997), in which Fresnel coefficients were used to calculate the amount of light transmitted within the escape cone. The difference between the exact calculation and the approximation of total loss within the escape cone was <2% for Si. The absorptance of weakly absorbed light is further increased by limiting the entrance angle 9. It was proved by Campbell (1986) that the spectral absorptance under such circumstances is given by
"&)=
" ' I
(3-3b)
g(A) + s m , • " "
where 0max is the maximal entrance angle. The effect of such lambertian-based optical enhancement schemes on limiting efficiency and obtainable currents has been studied in numerous papers (see e.g. Tiedje et al., 1982 for calculation of the limiting efficiency in crystalline Si cells, and Sheng, 1984 for current enhancement in a-Si:H cells). Up to now, we have assumed that the backside of the cell in Fig. 3.6a reflects the light perfectly. If this is not the case, the expression for the path-length enhancement A must be modified to 2
(1+Aback)
A=
^ - '
n
(3.3c)
102
J. Poortmans, J. Nijs and R. Mertens
where Rback 1S the backside reflectance. Although theoretically very attractive, the incorporation of perfectly randomising layers is not straightforward from the technical point of view. In the context of crystalline Si solar cells, recent work has identified porous Si as a promising approach to randomise the incoming light (Stalmans, 1998). However, the high surface recombination velocity at the porous Si-Si interface and the residual absorption of high-energy photons in the porous Si layer tend to reduce the benefits of this approach. Examples of cell structures with randomising rear reflectors are shown in Fig. 3.7, demonstrating the exploitation of the naturally occurring surface texture of microcrystalline material. A particularly successful implementation of this structure was the 9.5% efficient ultrathin 1.5 jxm polycrystalline Si-cell, developed by Yamamoto (1997). Another example is afforded by the use of textured contact layers, laid down by various means such as sputtering or etching in dilute HC1 (Kluth, 1997). Light ray
air(n=l)
Figure.?. 7 Practical realisation of a cell with lambertian rear reflector by use of the natural surface texture of microcrystalline Si layers. (After Winz, 1997, reproduced with permission from IEEE.)
Light-trapping structures with lambertian surfaces represent the limiting case for cells with an isotropic response, i.e. cells whose response is independent of the angle of incidence (Tiedje, 1984). Because of the directionality of sunlight, the use of surface structures with dimensions larger than the wavelength of light (geometrical light-trapping schemes) can increase the cell absorptance above the limits of the lambertian schemes. In contrast to the lambertian schemes, it is not possible to describe these schemes by a fully analytical approach; ray-tracing programs are required to perform a detailed analysis of these structures. Two basic types of geometrical light-trapping schemes can be distinguished: 2dimensional and 3-dimensional geometries. In their simplest form, two-dimensional structures can consist simply of a number of parallel grooves at the surface. The
103
Principles of Cell Design
number of passes can be increased by tilting the grooves (Campbell, 1988), as illustrated in Fig. 3.8. Recently a large amount of experimental work has been performed to realise solar cells in grooved multicrystalline Si-substrates. The interested reader is referred to the work of Zechner (1997) and references therein for details.
Figure 3.8
Cross-section of cell with parallel tilted grooves.
A further reduction of the probability of light escape is provided by threedimensional geometries. Instead of 2-dimensional grooves, three-dimensional pyramids are formed. The optical performance of such structures is studied by analysis of the 'image regions', which show where the rays strike the front surface after being reflected by the backside (see Fig. 3.9a).
side view
top view
incident pyramid
image pyramid
(a)
(b)
Figure 3.9 (a) Study of ray behaviour by means of image regions for regular pyramids (see e.g. Green, 1995, p.101); (b) schematic view of the tiler's pattern. This pattern is realised on (100) Si by slightly misaligning the pattern for the inverted pyramids with the <110> direction. (After Green, 1995, p.103, reproduced with permission from The Centre for Photovoltaic Devices and Systems.)
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J. Poortmans, J. Nijs and R. Mertens
For regular pyramids, the light-trapping efficiency strongly depends on the details of the layout, especially the ratio of the pyramid size to the wafer thickness. A further improvement can be realised by going to the so-called tiler's pattern (see Fig. 3.9b).
w\
^
J ^ ^
(a)
\ \
J /
surface
i / i / **JH
Back surface
(b)
Figure 3.10 (a) Artist's view of a cell with light-trapping structures at both front- and backside. The grooves at the frontside are perpendicular to the grooves at the backside (after Green, 1995, p.104, reproduced with permission from The Centre for Photovoltaic Devices and Systems); (b) Structure, proposed by Jorgensen (1997), consisting of inverted pyramids at the frontside and octagonal structures at the backside. (After Jorgensen, 1997, reproduced with permission from IEEE.)
Additional improvement in light-trapping behaviour is obtained by structuring the backside of the cell. A very efficient method is the use of backside grooves perpendicular to the frontside grooves, as shown in Fig. 3.10a. In Fig. 3.10b, a recently proposed concept with structuring of both sides is shown (Jorgensen et al., 1997). This structure gives rise to a further improvement of light-trapping properties. Figure 3.11 shows a comparison of the optical performance of the different schemes. The 3-dimensional structures discussed above have found widespread use in (100) monocrystalline Si solar cells. Although the double-sided structure of Fig. 3.10a with perpendicular grooves should perform better than the tiler's pattern of Fig. 3.9, the latter has been used in the highest efficiency Si solar cells to date. In the context of industrial production of monocrystalline Si cells, (100) Si-substrates are textured with (lll)-facetted pyramids by anisotropic etching in NaOH- or KOH-containing solutions. This produces a random pyramidal texture as shown in the SEM picture in Fig. 3.12. For multicrystalline Si solar cells, the variation in grain orientation impedes efficient anisotropic texturing of the cell surface: grains with near (lll)-orientation are etched parallel to the surface, whereas the grains near to the (lOO)-orientation exhibit the desired pyramids with (lll)-facets. Therefore grooving (Zechner, 1997), and the use of randomising (Vazsonyi, 1995) or isotropic texturing schemes (Einhaus, 1997) are under investigation for multicrystalline Si cells.
Principles of Cell Design
105
i—'
'—r
randomizing surface
,
E p
80
periodic brickwork
random j pyra^nidst—*.,
5
\
10
T ~ \ j
L,
20
SO
Passes through cell
100 2 0 0
I 60 regular pyramids
6
10
20
60
100 200
Passes through cell
(a)
(b) Figure 3.11 (a) Percentage of light remaining in the cell as a function of the number of passes for cells with structure at the frontside (after Green, 1995, p. 105); (b) Percentage of light remaining in the cell as a function of the number of passes for cells with structure at both the front- and backside (after Green, 1995, p.105, reproduced with permissionfromThe Centre for Photovoltaic Devices and Systems).
j?i+*fr
Figure 3.12 etching.
SEM picture of a randomly textured (100) Si surface, created by NaOH-based anisotropic
106
J. Poortmans, J. Nijs and R. Mertens
Recent studies aimed at calculating the performance of thin-film cells made in conformal layers on glass by Brendel et al. (1997), Brendel (1997) and Thorp (1996) in the so-called pyramidal-film structure shown in Fig. 3.13 confirm the good performance of double-sided structures. One may conclude that high short-circuit currents are achievable, even with a sub-micron layer of Si, despite its indirect band gap and relatively low absorption coefficient in the energy-richest part of the spectrum.
Figure 3.13 Conformal thin-film crystalline Si solar cells on textured glass (pyramidal-film structure). (After Brendel et al., 1997, reproduced with permission from IEEE.)
3.3.2 Anti-reflective coatings: reduction of the first reflection Up to now, the reflection of a ray impinging on the cell front surface has been omitted from the discussion. The light-trapping schemes discussed in Section 3.3.1 inherently give rise to a substantial reduction of this reflectance, because any deviation from a perfectly smooth surface increases the probability that the reflected light ray will strike the surface again. A further reduction of the front-surface reflectance is achieved by the use of socalled anti-reflective coatings (ARC). The ARC layer, which is interposed between the photovoltaic cell material and the surrounding environment (air or the lamination material), acts as a quarter-wavelength impedance matching element between the characteristic impedance of the environment and the photovoltaic material. Under these conditions, the ray, reflected at the interface between the semiconductor (refractive index n2) and the ARC layer, interferes destructively with the ray reflected
107
Principles of Cell Design
at the interface between the ARC and surrounding medium (refractive index n0). The conditions for zero reflectance at wavelength A. are given by eqs. 3.4 and 3.5, where d\ and «i are the thickness and refractive index of the intermediate anti-reflective layer respectively. X dx=
(3.4) 4«, (3-5)
"l = yfnJh
Equations 3.4 and 3.5 define the conditions that reduce the reflectance to zero at a certain wavelength for a planar surface. The solar spectrum, however, extends over a broad wavelength range. The ARC-thickness is therefore chosen to give minimal integrated reflectance weighted by the energy content at each wavelength. On a structured surface, as used in geometrical light-trapping schemes, the minimum reflectance is no longer zero, because the angle at which the ray travels in the ARC layer is no longer unique. However, the better light-trapping properties for the light coupled in, and the broader minimum in the spectral reflectance curve in case of a geometrical light-trapping structure, largely compensate for this non-zero minimum reflectance. An example, given in Fig. 3.14, shows the reflectance of an InP cell coated with an ITO or ITO + MgF2 layer (see e.g. Coutts and Yamaguchi, 1988). n
c
n
i
•
'
•
i
•
•
• '
i
•
•
•
•
i
•
'
•
•
i
•
•
•
•
i
•
• ' •
InP thickness = 0.025 cm ...; ITO thickness - 52.5 nm "-. MgF2 thickness = 100.0 nm
0.40
r g 020
'
InP
"•• InP/ITO...
•
0.10 300 400 nnn
__.
•;:<'.
InP/ITO/MgF;.
500 600 700 800 900 1000 Wavelength (nm)
Figure 3.14 Spectral reflectance curve for an InP cell with an Indium-Tin Oxide (single-layer ARC) and Indium-Tin Oxide + MgF2 layer (double-layer ARC). (After Coutts and Yamaguchi, 1988, reproduced with permission from Academic Press.)
Practical examples of single-layer ARCs for Si are SiN^H^,, Ti0 2 and Ta 2 0 5 . The wavelength range over which the reflectance is low can be increased by going to double-layer ARCs, consisting for instance of ZnS/MgF2 double layers for Si cells.
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J. Poortmans, J. Nijs and R. Mertens
3.4 Surface recombination losses and their reduction The calculations in Section 3.2 of the theoretically achievable efficiencies of solar cells, fabricated in a certain material were generally based on bulk recombination via radiative or Auger processes. Provided that light-trapping structures to maintain the current at a high level are used, these calculations show that the cell volume should be kept low to minimise bulk recombination and achieve the highest possible open-circuit voltage. In real life, recombination at surfaces and in the bulk is mostly governed by Shockley-Read-Hall recombination. In this section, we will focus on the latter recombination mechanism and how to minimise its influence.
3.4.1 Surface recombination Surface recombination occurs at the extremities of the cell. Its effect is described in terms of the surface recombination velocity S. Conceptually, in a p-type semiconductor, S is the relation between the recombination current density
(3.6)
The relation between S and the properties of the uncharged surface in the presence of a continuous distribution of states Dit(U) and cross-sections cr,(L0 is given by S = vth f^ ° * < " ° + A » + 2A"> iU Juv no+An+n^iU) p0+An+px(U) + op(U) on(U)
(3.7)
where v^ is the thermal velocity of the charge carriers. When the capture crosssections and their energy dependences are known, it is, in principle, possible to calculate S (see e.g. Eades and Swanson, 1985, for Si passivated by its thermal oxide) from capacitance-voltage and deep-level transient spectroscopic measurements. Often the value of S is empirically determined from electrical (e.g. current-voltage measurements) or electro-optical methods (e.g. effective lifetime measurements). The thus-measured value is in most cases interpreted in terms of an effective surface
Principles of Cell Design
109
recombination velocity, taken at a reference plane positioned close to the physical surface. This is done to avoid the complication of the electronic band bending near the surface as a result of surface charges. This suppresses or enhances the actual excess minority carrier concentration, as compared with its values in the quasi-neutral region near the surface. Surface passivation often puts a strong constraint on cell efficiency. This can be illustrated by the following quantitative comparison of the contribution to the dark current of the (volume) Auger recombination term with that associated with the surfaces. For a cell in low-level injection, the dark current contribution from Auger recombination in a bulk region of doping Nb and width Wb (the Auger lifetime is then 1/C Nl) is given by
q-L-CNlWbeKP
qV_
kT
(3.8)
where C is the Auger coefficient (based on the assumption of constant quasi-Fermi potential separation qV over the bulk region). The surface recombination current is created by a surface with surface recombination velocity Stff is 'v=<7-r-S eff exp
(3.9)
kT
It follows that the condition to ensure that surface recombination is not the determining factor for the open-circuit voltage is (3.10)
S*<WbCNl
If one calculates how low the effective surface recombination velocity has to be for a typical silicon cell (200 ftm thick, 1017 cm-3 p-type doping), one arrives at a value of 20 cm s~'. This very low value is not easily realisable, even for a material like Si. However, for high-injection conditions and under concentration, the requirements on the surface passivation are relaxed. In the high-injection regime, the Auger-limited bulk contribution to the recombination is given by (Green, 1995, p. 185) ib=qWbni(Cn+C.,)exp
3qV_ -1 2kT
(3.11)
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J. Poortmans, J. Nijs and R. Mertens
whereas the surface recombination term is now given by '(qv)
-1
[[ikTJ Equating these two expressions and using the fact that under open-circuit conditions the photogenerated current is exactly balanced by the total recombination current, one arrives at the following expression for Seff, which ensures that the bulk recombination component dominates the dark current: 2
5eff <
~3[wb(Cn+Cp)]~3
I
(3.13)
Using eq. 3.13, the reader can easily verify that under concentration the requirements are relaxed as compared to the low-injection case.
3.4.2 Practical realisation of surface passivation In the following section a distinction is made between two situations. First, surface recombination in the non-contacted areas and the possibility of reducing the surface recombination velocity in these regions by suitable passivation layers will be dealt with. Afterwards, methods to passivate the surfaces of contacted areas are reviewed. Surface passivation of non-contacted areas The ability to passivate a semiconductor surface is strongly dependent on the material. The surface of a material is a major disturbance of the crystal and is characterised by a high surface-state density (of the order 1012-1013 cm-2). A reduction of the surfacestate density is achieved by growing or depositing thin dielectric layers on the surface. The surfaces of most II-VI and III-V semiconductors and Ge are, however, difficult to passivate. Only the Si surface can be readily passivated by a variety of techniques. The oxidation of a Si surface results in a low and stable surface-state density of the order of 1010 cm"2. These values follow from capacitance-voltage measurements (see e.g. Aberle, 1992 for oxide-passivated Si) or from measured surface-state densities and capture cross-sections, as shown in Figs. 3.15a and 3.15b. On n-type material the
Principles of Cell Design
111
surface recombination velocity is two orders of magnitude lower than on p-type material.
10 1 4
10 1 6
Substrate doping, cm" 3 (a)
10 1 8
10 1 4
10 1 6
10 1 8
Substrate doping, c m 3 (b)
Figure 3.15 Calculated surface recombination velocity for (a) p-type Si and (b) for n-type Si. The calculation was based on measured capture cross sections and the measured energy dependence of the interface state density. (After Eades and Swanson, 1985, reprinted with permission from A1P.)
In the context of industrial Si solar cells, the use of nitride layers, grown by the plasma-enhanced chemical vapour deposition technique, has attracted much interest. These combine the desired optical properties (n = 2) with surface and bulk passivation features (see e.g. Chen, 1994). High efficiencies of >17% have been reported for large-area screen-printed Si solar cells (see e.g. Nijs, 1996; Shirasawa, 1994). A relatively new approach to passivation of the cell non-contacted backside is the use of so-called floating junctions. Figure 3.16 shows the basic structure. It consists of an additional non-contacted diffused region at the backside. In principle, this approach allows very low values of the surface recombination velocity. By the light-induced forward bias over the floating junction electrons are injected towards the n+-contact This can be deduced from the equation for the effective surface recombination velocity of a surface passivated with a floating junction (Ghannam, 1991):
112
J. Poortmans, J. Nijs and R. Mertens
•jrff
—
"
NJ qn)
(3.14)
where /op is the saturation current density of hole injection into the «+-region and Nb is the doping in the base Actual realisations of this concept at the backside of Si solar cells resulted in an open-circuit voltage of 717 mV (Zhao, 1994), the highest ever achieved for a Si cell under 1-Sun illumination Emitter fingers
fT\^
JSX
p-type base /?+-contact floating n+-region
Figure 3.16 backside.
Base contact
floating
Schematic cross section of a cell with /j-type floating junctions for passivation of the cell
Whether the concept is more generally applicable to materials with lower minority carrier lifetimes is still a matter of debate. The derivation of 5eff in eq. 3.14 for the floating junction only takes into account the recombination in the quasi-neutral part of the diffused region. Lolgen (1994) proved that for less optimal circumstances (low lifetimes, low injection level), the depletion layer recombination (described by i02) will co-determine the actual Seff, which also becomes injection-dependent. The effective surface recombination velocity is then given by (Lolgen, 1994)
exp 5, ff =
qV_ -1 + k kT qn{
expl^hl
qV_ exp kT
(3.15)
113
Principles of Cell Design
This expression also takes the shunt resistance /?shunt into account, although it neglects generation at the cell backside. To avoid the dominance of depletion-layer recombination, the minority carrier concentration at the backside of the cell should be high (this increases the self-induced forward bias over the floating junction). This suggests the use of the floating junction passivation for bifacial cells, where light can also enter from the backside. Also the shunt resistance between the p+-and n+-regions has to be kept high. Careful optimisation by Honsberg (1996) showed that the effect of a shunt resistance is minimised by going to a shallow diffusion with a high sheet resistance for the floating n+-region. The high sheet resistance will isolate the shunted region from the rest of the floating junction. Surface passivation of metal-contacted areas The region under an ohmic contact is characterised by a large surface recombination velocity which is often assumed to be infinitely large (for example, in Si the surface recombination velocity at an ohmic contact is the thermal velocity of the carriers, which is about 107 cm s"1). This strongly enhances the dark current injected into the base. This is clearly seen in the expressions of the recombination current in the case of a base with a well passivated surface (eq. 3.17) or when the surface recombination velocity is infinite (eq. 3.16) for the case of a short base (diffusion length larger than the base width).
'A (Shack = ° ° ) =
h(SM=0)-
—
NbWb
exp
qV_ -1 kT
( v_ an, •W„ exp q kT Nbtb
(3.16)
(3.17)
where Dk Nb, Wb and «, have their usual meaning and Tb is the base lifetime. As described above, the use of dielectric passivation layers may result in well-passivated surfaces in the non-contacted areas, but if no measures are taken to suppress the recombination velocity near the ohmic contacts, no significant reduction of the recombination current is to be expected. A simple calculation illustrates this. Assuming a metal contact coverage of 1% and a ratio of 105 between the surface recombination velocity between the metallised and non-metallised areas, the contribution of the recombination at the contacts to the total recombination is still a factor of 103 larger than the contribution of the non-contacted area.
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J. Poortmans, J. Nijs and R. Mertens
A careful analysis of eq. 3.16 suggests how the contribution of the metallised areas to the recombination current can be reduced. The solution is to increase the doping level near the contact. The contact area is thereby screened from the minority carriers by a high-low doping transition, creating a back surface field (or front surface field when the same technique is applied at the frontside of the cell). In n+-p Si solar cells this technique is widely used for the passivation of the backside. From eq. 3.16 the reader might expect the doping level at the backside should be as high as possible to optimise the surface-field effect. There are, however, a number of additional considerations that should be taken into account when optimising the contact passivation.
'eft-
recombination in accumulation layer
Doping ratio small =weak BSF p-region
• / accumulation region
(a)
. V P '-region depletion region
(b)
Figure 3.17 (a) Schematic representation of the different regions to be accounted for when calculating the effective surface recombination velocity at a p-p+-doping transition; (b) qualitative dependence of the effective surface recombination velocity on the doping ratio between the heavily and lightly doped parts of the high-low transition.
At high doping levels, the beneficial effect of the surface field is reduced by heavy-doping-induced band-gap narrowing (see e.g. Jain and Roulston, 1991 and references therein). This effect will increase the effective intrinsic carrier concentration in the heavily doped part and thereby increase the recombination current (see e.g. Brendel etai, 1995 as how to take this effect into account). One also has to account for recombination in the heavily doped layer For the case of Si the reader is referred to the work of Del Alamo (1981) and references therein. A third complication is caused by recombination in the accumulation and depletion region associated with the high-low transition (see Fig. 3.17a). This gives rise to additional recombination terms and, more importantly, it leads to an optimum value for the
115
Principles of Cell Design
doping ratio between the heavily and lightly doped part (see e.g. Singh, 1991 for calculations of the p-p+ transition in Si n+-p-p+ solar cells). When the doping ratio is too high, the low electric field in the accumulation layer results in enhanced recombination. An additional reduction of the recombination at the contacts can be obtained by including a thin layer of a material with larger band gap near the contact. Equation 3.16 is in fact a specific case of the following more general expression for the recombination current in a short base with high backside surface recombination velocity:
exp kT
(3.18)
o Dhn] The integral in eq. 3.18 is called the base Gummel number. The value of the Gummel number can be increased by decreasing the value of n] in part of the short base by including a higher band-gap region in the heavily doped region near the contact. There are numerous examples of this approach where the band gap can be adjusted without running into problems of interface lattice mismatch. An example is the use of an AlGaAs layer at the backside of a cell with a GaAs base (see Andreev, 1997 and references therein). In the case of Si, the heterojunction transition from Si to heavily doped /ic-Si:H to passivate the backside contact regions resulted in an efficiency as high as 23.5% (Okamoto, 1997).
3.4.3 Front surface passivation: homojunction vs. heterojunction design Most p-n homoj unctions and heteroj unctions used for photovoltaic purposes are onesided, strongly asymmetric junctions in which the base layer of the cell has a lower doping level. Such a design is suggested by the strongly peaked character of the carrier generation when the cell is illuminated by sunlight (uniformly absorbed light would not require an asymmetric structure). To keep the photocurrent loss in the top region within reasonable limits with such a peaked generation profile, the top semiconductor layer has to remain thin. Since for most cell designs there is the additional requirement of reducing resistive losses caused by horizontal carrier flow in the top layer (see also Section 3.5.1), one will normally encounter high doping levels in the top layer and Auger recombination as the dominant recombination mechanism.
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J. Poortmans, J. Nijs and R. Mertens
The lower doping level in the base, on the other hand, is a requirement to obtain reasonable diffusion lengths in the base of the cell and to ensure efficient collection of carriers generated in the bulk of the cell. The practicality of a homojunction approach is dependent on the degree of achievable surface passivation of the front surface. In addition, the ratio of junction depth to absorption depth must be sufficiently small. The latter condition is satisfied for Si, but in CdTe the optical absorption coefficient is so high that this condition is difficult to realise and the homojunction approach is ruled out, practically speaking. The success of the Si homojunction approach is largely based on the ability to passivate its surfaces efficiently, even when the doping level is high. On the other hand, because of the poor surface passivation of most III-V compounds (except InP) and II—VI compounds {e.g. CdTe), a homojunction approach is in most instances not suited for these materials, despite the fact that the band gap of a material like GaAs (1.42 eV) is close to optimal. A high surface recombination velocity will result in significant recombination losses in the emitter. One way to suppress the dark current contribution of the emitter is to use a heterostructure with the emitter as the wideband-gap material or to cap the emitter with a wide-band-gap material. Because of the high band gap in the window layer, the cell becomes less sensitive to the actual surface. Assuming that interfacial recombination is low, the contribution of the wideband-gap emitter to the total recombination current is normally negligible, as can be seen from eq. 3.19 (see e.g. Hovel, 1975), which shows the ratio of the dark currents between base and emitter in such a heterojunction structure. This is caused by the dependence of the intrinsic carrier concentration on the semiconductor band gap, as given in eq. 3.1b. C iab
^(emitter)
(3
19)
n, (base)
The top layer with the larger band gap is called the 'window' layer, whereas the underlying base layer is often called the 'absorber' (see e.g. de Vos, 1976). Table 3.3 shows the band gap and electron affinities for the most common wide-band-gap window layers. In general, the lattice mismatch between the two materials of the heterostructure should be low to avoid large recombination losses at the defective interface. Figure 8.10 gives more information about the lattice constants of semiconducting materials used in photovoltaic devices. The requirement of lattice matching can be relaxed in specific circumstances (see e.g. Tsai, 1980 for a discussion of the ITO/InP heterojunction). The effect of the misfit dislocations can also be minimised when
Principles of Cell Design
Table 3.3
117
Energy gap and electron affinity of commonly used window layers Energy gap/eV
Semiconductor
Electron affinity/eV
CdS
2.42
4.5
ZnS
3.58
3.9
ZnO
3.3
4.35
In203:Sn
3.7-4.4
4.5
Sn0 2 :F
3.9-4.6
4.8
appropriate passivation mechanisms are available. For example, the hydrogenation of Si/SiGe-cells (Said, 1998) leads to low interface recombination velocities of the order of 1000 cm s_l even though the lattice mismatch in that specific experiment was as large as 0.4%. A large mismatch might even be advantageous in circumstances where the cells are subjected to strong radiation, as are space solar cells. Although the beginning-of-life efficiency of InP/Si solar cells is lower than that of high-efficiency space solar cells, based on InGaP/GaAs combinations, InP/Si cells are relatively insensitive to radiation (they are 'predamaged'). As a result their end-of-life efficiency is higher than for their high-efficiency counterparts, which makes this type of cell attractive for use in low-Earth high-radiation-level orbits.
3.4.4 Window layers Contact
2.0
3.0
Absorber
Window
TCO
Contact
4.0
Photon Energy, eV
(a)
(b)
Figure 3.18 (a) Blue response improvement by the use of a wide-band-gap window layer (AlGaAs) on a GaAs cell (after Hovel, 1975, reprinted with permission from Academic Press); (b) band-gap diagram of a CdS / CdTe heterojunction cell with a Transparent Conductive Oxide (TCO) contact layer.
118
J. Poortmans, J. Nijs and R. Mertens
A variety of heteroj unctions with wide-band-gap window layers exists. Eminent examples are AlGaAs window layers on GaAs and CdS layers on CdTe, CuInSe2 layers and InP. Figure 3.18a shows the improvement of the blue response produced by the window layer. In Fig. 3.18b the energy band diagram for a CdS/CdTe cell is shown. 3.4.5 Homojunction emitter design and its relation to surface passivation Although thermal diffusion is certainly not the only way of realising a homojunction emitter, this technique has been extensively studied in Si solar cells and it has also been used for other types of homojunctions (see e.g. InP-homojunctions studied in the work of Yamamoto, 1984). This has allowed a clear model to be constructed for all the phenomena occurring in diffused homojunction emitters. The minority carriers in a thermally diffused emitter are not only moving under the influence of minority carrier concentration gradients. Because of the high and rapidly changing doping level two other forces contribute to the transport of the charge carriers. The first is the electrical field resulting from the doping gradient. As long as the excess carrier concentration is much lower than the doping level (which is normally the case in the emitter), the strength of this field is given by *
)
^ q
^ ax
|
(3.20, /Vj
where Nd (x) is the dopant concentration at depth x in the emitter. For diffused profiles with the maximum dopant concentration at the surface, this electrical field will aid the minority carriers to move in the direction of the junction, and therefore has a beneficial influence on the collection of photogenerated carriers. The term frontsurface field is also used to describe this effect. This positive effect can be maximised by going to extremely shallow junctions, achievable by Rapid Thermal Processing techniques (see e.g. Sivoththaman, 1997). A second contribution to the field in the emitter stems from heavy-doping-induced effects. The high doping level in the emitter reduces the semiconductor energy gap. This is the result of the breaking down of the one-electron approximation at high doping levels. The charge carriers can no longer be considered as non-interacting, hence correlation and exchange contributions have to be included in the energy of the carrier. In addition, the short-range variation of the electrostatic potential caused by doping density fluctuations leads to the formation of energy band tails near the
Principles of Cell Design
119
conduction and valence band edges. Together with the shift of the Fermi level into the majority carrier band, these changes result in the so-called apparent heavy-doping induced band-gap narrowing (BGN). The extent of narrowing depends on the doping level and the dielectric constant of the material. Figure 3.19 shows the band-gap narrowing for heavily doped n-type Si. _ 60
_
o A D
••
•
X
Theory Dumke Mertens Wieder Neugroschel et al Possin Del Alamo Tang
^ y ^
2*° /, cP ^/
0°
/ "V / / , ,*
t
10,s
•
•
,
,
10 1 9
.
1
10 2 '
Dopant concentration (cm"3)
Figure 3.19 Heavy-doping induced BGN as a function of doping for heavily doped n-type Si. Jain and Roulston, 1991, reprinted with permission from Pergamon Press.)
(From
As a result, the band gap and the position of the band edges become positiondependent, leading to a quasi-electrical field that points in the same direction for minority and majority carriers. The magnitude £(BGN) of this quasi-field is given by £(BGN) =
kTdnj 1 q dx n)e
(3.21)
where ( At/ 4 (BGN)^ nie = n, exp kT
(3.22)
Here AUg is the apparent band-gap narrowing taken from Fig. 3.19, n, is the intrinsic carrier concentration at low doping levels, and nie is referred to as the effective intrinsic carrier concentration. The quasi-field points in the direction of the higher doping level and hinders the transport of minority carriers towards the junction. The total emitter field is the sum of these two contributions. As a result the flux j for the minority carriers in an emitter has to be written as j = normal diffusion + drift by dopant gradient + drift by band-gap variation
(3.23a)
120
J. Poortmans, J. Nijs and R. Mertens
For minority hole current moving through an n-type emitter this becomes kT dp i„=-Wp——-
kT d/Vrf (x) 1 dnl 1 " +qpnp-^— q dx Nd(x) dx nie
(3.23b)
These effects make it difficult to find analytical solutions for the photogenerated and dark current in the emitter. Numerical methods are required instead (see Tsaur, 1972 for GaAs-cells and Fossum, 1976 for Si-cells).
0) & 101 " . "i : 1 m
• ^ •
noTCA, 1000C, W / F G A no TCA, 950C, w / F G A w / TCA, A1 annealed fit for no TCA. 1000C, w/FGA
10 17 10 1 8 10 19 10 2 0 Surface Phosphorus Concentration {cm"3)
(a)
(b)
Figure 3.20 (a) Surface recombination velocity as a function of surface concentration for phosphorusdoped n*-p Si solar cells (after King, 1990, reprinted with permission from IEEE); (b) schematic crosssection of the selective emitter structure.
When the minority carriers, injected in the emitter under forward bias, are able to reach the emitter surface, the emitter is said to be 'transparent' and the forward dark current, injected into the emitter, is sensitive to the surface recombination velocity at the emitter surface. One can then normally observe a strong increase of the surface recombination velocity with doping level. This is seen in Fig. 3.20a, where the dependence of the surface recombination velocity on the surface concentration is shown for n-type Si passivated by a thermally grown oxide. At first sight this would lead the designer of a photovoltaic cell to reduce the surface doping concentration of a transparent emitter. This will however lead to significant recombination losses at the contact regions, where the interface to the ohmic contact is anyway characterised by a large surface recombination velocity.
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121
The contact resistance between metal contact and emitter layer should also be taken into account. In certain cases {e.g. for screen-printed contacts), a high surface concentration is essential for a low contact resistance. As a result, the design of a homogeneous emitter is a trade-off between the wish to avoid dead layers at the surface and the reduction of contact resistance and the screening of the high surface recombination velocity at the contacts at the other. This trade-off can be avoided by employing a selective emitter, as shown schematically in Fig. 3.20b. The emitter in the region between the fingers is different from the emitter beneath the metal fingers. The inter-finger emitter is shallow and the emitter surface should be well passivated. Beneath the finger, the emitter profile is deep with a high dopant surface concentration to screen the contact. This ensures a low contact resistance, acts as a buffer layer hindering the in-diffusion of metal impurities from the contact and also as a gettering site for impurities in substrates with high metallic impurity content. The highest efficiencies for Si solar cells have been realised in cells with a selective emitter.
3.5 Bulk recombination losses and their reduction In the context of this section, the term 'bulk of the cell' covers the lightly doped part of the cell, either in the homo- or heterojunction case. In contrast to the homojunction emitter or the window layer in the heteroj unction case, where the sheet resistance is a primary concern and high doping levels are the rule, the bulk is characterised by a lower doping level to maintain high minority carrier diffusion lengths. Most of the photogenerated current in a Si solar cell is produced by absorption of photons in the base and collection of the photogenerated carriers by the emitter-base junction. The collection efficiency is strongly influenced by the minority-carrier lifetime. This is especially true in indirect semiconductors, where the base must be sufficiently wide to allow the useful photons to be absorbed. Efficient carrier collection by the junction requires sufficiently high values of the minority-carrier lifetime, as determined by the various recombination processes. In an indirect semiconductor such as crystalline Si, radiative recombination is unimportant and Auger recombination is the only fundamental recombination process. This is generally important only in the heavily doped emitter or back-surface-field regions where the doping levels exceed 1018 cm"3. Near-to-Auger-limited diffusion lengths can be achieved by the use of high purity material with low defect densities. In the case of Si, the best quality monocrystalline material is grown and purified by the float-zone technique.
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However, highly purified material with low defect density is in most instances not compatible with low cost, a condition for further market penetration of photovoltaic devices. The following paragraphs deal with the situation where grain boundaries and other crystallographic flaws are present in the polycrystalline materials used nowadays in photovoltaic thin-film technologies (CdTe, CuInSe2 and related alloys, poly- and microcrystalline Si). A short description and classification of the effect of grain boundaries is presented, followed by an overview of techniques and designs to overcome the detrimental effects of grain boundaries and impurities or, more generally, what possibilities exist to cope with materials with relatively low diffusion lengths.
3.5.1 Electronic description of grain boundaries Grain boundaries are the transition regions between adjacent grains of crystalline material with different orientation. In principle, it should be possible to calculate the electronic structure of the material near the grain boundaries when the grain boundary properties are known. However, except for low-angle grain boundaries, the required geometrical information is usually completely missing. The problem is further complicated by the chemical decoration of the boundary regions by impurities that diffuse preferentially towards these regions. All these factors exclude, for the overwhelming majority of situations, an ab initio calculation of grain boundary effects. Nevertheless, two different classes of grain boundary effects can be distinguished. In the first model, which is the more popular, the basic band structure of the semiconductor is conserved in the grain boundary region. The deviations from the perfect crystal are incorporated as electronic states existing in the forbidden energy gap (see Fig. 3.21a). These states can have donor or acceptor character and are distributed throughout the band gap. Depending on the occupancy, a charge sheet will be formed at the grain boundary surface, and this electrostatically induces a depletion or accumulation charge around the grain boundary region. Table 3.4 shows the experimentally observed character of grain boundaries for different semiconductors. The reader can see that for CuInSe2 and CdTe the grain boundaries are relatively inactive. This useful property, together with their high absorption coefficients, makes these materials and their related alloys prime candidates for polycrystalline thin-film solar cell technologies.
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Table 3.4
Character of grain boundaries for a number of common semiconductors Semiconductor
Grain boundary behaviour
Ge
Strongly p —» accumulation in p -type
Si GaAs
midgap —» depletion in n- and p-type
CuInSe2
midgap —> depletion in n- and p-type upper midgap —» depletion in p-type —> accumulation in n-type no pinning
CdTe
low grain boundary activity
InP
The second model of grain boundaries, shown in Fig. 3.21b, describes the grain boundary region as a thin layer of material with different properties (Sutton, 1989 and references therein). Whatever the model used, the crucial element is the formation of interface states near the grain boundary region. In the case of Si, the interface state density, measured at the grain boundaries, is always in the region of 1012-10l3cirf2 (Sutton, 1989; Evrard, 1995).
J^ uf.
J^ (a)
(b)
Figure 3.21 (a) Model to describe the effect of a grain boundary by means of additional localised states at the interface; (b) Model to describe the effect of a grain boundary by considering the material near the grain boundary as a different semiconductor material.
3.5.2 Effect of grain boundaries on majority carrier transport From these models, the effect of grain boundaries on majority-carrier transport is readily understood. From Table 3.4, we see that, the grain boundary usually gives rise to a depletion layer around itself. Depending on the grain size, different situations might occur. As long as the grain size is such that the grain is only partially depleted, the depletion layer represents an energy barrier for the majority carriers (Fig. 3.22a).
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The dominant charge carrier transport mechanism taking majority carriers across the barrier is thermionic emission. At high doping levels, tunnelling provides an additional transport mechanism. Thermally activated conduction is indeed found for multi- and polycrystalline semiconductors (for Si see e.g. MSller, 1993 and references therein, for GaAs see e.g. Cohen, 1980; for CdTe see e.g. Thorpe, 1986). The height of this barrier is a function of illumination level. Under illumination the excess minority carrier charge will lead to reduction of the charge associated with the barrier and as a result the barrier height decreases, behaviour also observed for surface states.
(a)
(b)
Figure 3.22 (a) Schematic band-gap representation of the grain boundary effect when the grainboundary-associated depletion layers do not overlap. This situation is typical for large-grained material (e.g. multicrystalline Si); (b) schematic band-gap representation of the grain boundary effect when the grain-boundary-associated depletion layers overlap. This situation is typical for small-grained lightly doped material. One can see that the barrier height becomes smaller as compared with Fig. 3.22a.
When the grain size becomes smaller than the depletion layer width associated with the grain boundary charge sheet, the grain will be fully depleted and the height of the barrier is reduced (see Fig. 3.22b). Under such circumstances the mobility can be high again, although scattering at the numerous grain boundaries will reduce the mobility in most instances below its value in the single-crystal material.
3.5.3 Effect of grain boundaries on carrier recombination The effect of grain boundaries on minority carrier transport is easily visualised. In the case of a depletion layer around the grain boundary, the minority carriers are attracted to the grain boundary, while for an accumulation layer, the minority carriers are repelled, an effect which is basically the same as in high-low doping transitions (see Section 3.4.1). The effect of the grain boundary on minority carrier recombination is best described as a grain boundary recombination velocity. Conceptually, this is the same as the surface recombination velocity and can be calculated if the capture cross
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125
section and state distribution of the grain boundary states in the forbidden gap are known. Because of the dependence of the band bending on the injection level near the grain boundary, the recombination velocity is defined uniquely only for a grain boundary running parallel to the junction. For a vertical grain boundary the excess carrier concentration along the grain boundary is no longer a constant, resulting in a depth-dependent recombination velocity. The effect of horizontal and vertical grain boundaries has been studied theoretically by Green (1995, p. 298). For low surface recombination velocities at a horizontal grain boundary, the excess minority carrier profile will differ only slightly from the minority carrier profile in the case without the grain boundary. For this 'small perturbation case', the effect of the grain boundary is easily taken into account by increasing the dark current contribution of the base without the grain boundary by a factor K, given by
_L JL K=—
(3.24)
where % is the bulk lifetime, S the grain boundary recombination velocity, and Wb the base width. The recombination current of the region containing the horizontal grain boundary is increased by a factor K in comparison with the recombination current of the same region without the grain boundary, which is given by eq. 3.25. b
ib=qj
^nMdx 0
(325)
%b
For high grain boundary recombination velocities at a horizontal grain boundary in a quasi-neutral region, the grain boundary competes with the actual junction for the photogenerated carriers. The carriers generated closer to the grain boundary will have more chance of recombining at the grain than being collected by the junction. When the grain boundary falls within the junction depletion layer, more elaborate expressions are needed. As long as the electrical field of the junction depletion layer is much larger than the field associated with the grain boundary, the effects are minor.
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For vertical grain boundaries, the situation is much more complex. For a full description of the effects, a 2-dimensional approach is needed (see e.g. Edmiston, 1996). The reduction of the field in the junction depletion layer by interaction with the field in the grain boundary depletion layer can lead to a drastic increase of the recombination current (see e.g. Beaucarne, 1998: see also Fig. 3.23 for a schematic 2dimensional picture of the potential distribution in the case of a vertical grain boundary crossing the junction). The arrows indicate that forward injection of electrons is enhanced in the region where the potential barrier is lowered by this effect. In terms of cell design, this means that the doping level near the junction should be sufficiently high to have a strong field in the depletion layer. Whether this is compatible with an appropriate diffusion length in the base of the cell depends on the specific properties of the material used (for small-grain polycrystalline Si, see Beaucarne, 1998). /
I grain boundary
Figure 3.23 Two-dimensional picture of the potential distribution for a vertical grain boundary near the junction depletion region. (After Edmiston, 1996 and Beaucarne, 1998.)
3.5.4 Designs to cope with low diffusion lengths The presence of grain boundaries and other deviations from a perfect crystalline structure will in most instances result in less efficient collection of the photogenerated carriers. There are a number of design possibilities to cope with this situation. In this section, distinction is made between three approaches: graded base design and the development of cell structures that go beyond the basic p-n junction (p-i-n cells and parallel multijunction cells).
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Principles of Cell Design
Graded base design In a graded base design, the properties (composition, doping) of the base region are varied over the base so as to provide an additional force besides diffusion to enhance collection of the photogenerated carriers. Detailed expressions for the photogenerated and dark current have been derived (see Hovel, 1975 and references therein) for the case of a constant electrical field in a p-type base under the assumption of constant carrier mobility and lifetime. The full expressions are lengthy, but the main result is that the effective diffusion length of electrons is increased as compared with the normal diffusion length Le according (Zheng, 1998) S{x)
ku = K
(3.26a)
+1
where £(x) is the local electrical field and £c the critical field strength, given by kT £,.
(a)
(3.26b)
=•
qK
(b)
Figure 3.24 Schematic band-gap representations of (a) the case where a graded base is realised by grading the doping over the base. In this example the base is p-type and the lowest base doping is near the junction region; (b) the case where a graded base is realised by grading the band gap over the base.
The most straightforward implementation of the graded base concept is shown in Fig. 3.24a, where the electrical field is realised by means of a graded dopant profile. The advantage of this approach is, however, diminished by the dependence of the transport parameters (mobility and lifetime) on the doping level. These degrade at
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J Poortmans. J. Nijs and R. Mertens
higher doping levels anu una uuavio uiv uututHugv KJX in^ nv^iu. ncvci uicicss, an efficiency of 16.4% was realised by grading the base doping in a thin-film crystalline Si solar cell with a thickness of about 30 pm (Zheng, 1998). A better approach is to grade the band gap of the base so that the lowest band gap is reached at the depletion layer, as shown in Fig. 3.24b. Such a band-gap profile can be realised by intentionally changing the growth conditions during base growth, but may also result from interdiffusion phenomena. As an eminent example of the effects of band-gap grading, the reader is referred to the paper of Gabor (1996) on the effect of grading the band gap in CuInSe2/CuGaSe2 solar cells. p-i-n cells A second approach for coping with low diffusion lengths consists in broadening the zone where the electrical field of the junction is effective. This is achieved by including an intrinsic (i) part in the transition zone between the p- and n-type regions. The resulting band scheme is shown in Fig. 3.25. The photogenerated carriers in the depleted zone are immediately separated and accelerated away from each other by the electrical field. This type of design is particularly advantageous when the mobility and the diffusion constant are low and the absorption coefficient high. The design criterion to decide between a p-n junction and p-i-n cell type can be written as I »T£*P>JH—x
kj 0-21)
where Siev is the field in the extended depletion layer between the p+ and n+ region and ris the lifetime of the excess carriers. If this condition is satisfied, si p-i-n cell will deliver a higher output current than its p-n counterpart. A drawback of the p-i-n concept is related to the fact that the superposition principle is no longer valid. Under forward bias, the internal field decreases, resulting in a lower photocurrent. As a result, the fill factor will be lower than for the p-n junction. The p-i-n approach is widely adopted for a-Si:H and microcrystalline Si cells (Shah, 1997). In the former material the mobility is low (of the order of 1 cm2 V"1 s"1). The reason for the better performance of p-i-n microcrystalline Si solar cells as compared with their p-n counterparts remains a matter of discussion, because there is no clear understanding at the moment of the diffusive and drift components of the currents in this cell type.
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Principles of Cell Design
p+-layer
intrinsic layer
n+-layer
Figure 3.25 Schematic band-gap representation of the p-i-n design. The electrical field in the intrinsic part ensures efficient separation of the generated electron-hole pairs.
Parallel multijunctions A third way of ensuring efficient collection of the photogenerated carriers in a material with low minority carrier lifetime and diffusion length is the so-called parallel multijunction approach, shown in Fig. 3.26a (see also Green, 1994). Fig. 3.26b shows a pictorial view of the tolerance of this cell type for active grain boundaries. In addition, the requirements on surface passivation become less stringent for the multijunction cell.
(a)
(b)
Figure 3.26 (a) Schematic cross section of a parallel multijunction cell, consisting of alternating n and p type layers, connected in parallel; (b) pictorial representation of the immunity of the parallel multijunction for grain boundaries. The shaded region shows the zone where the grain boundary competes with the p-n junction for the carrier collection. (Reprinted with permission from The Centre for Photovoltaic Devices and Systems.)
The most important design criterion in this cell is to make the thickness of the individual layers smaller than the diffusion length, in order to keep the collection
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efficiency close to unity. Although at first sight the reader might expect the thickness of the individual layers also to play a strong role in the reduction of series resistance losses, the designer has large freedom in optimising their thickness thanks to reinjection effects between different layers (Honsberg, 1994). The increase of the number of depletion regions in the multijunction cell raises concerns about recombination in the junction region, which might dominate the dark current behaviour (Stocks and Blakers, 1995). However, careful design of the junctions by inclusion of an intrinsic region in the depletion layer and optimisation of the field strength are predicted to overcome these difficulties (Green, 1996). Efficiencies as high as 15% are predicted for 10 /im Si-films with a lifetime of only 50 ns (Shi, 1994). First experiments with CVD-grown epitaxial multilayers, grown on inactive Si carrier substrates, confirm the high potential efficiency of this type of cell (see Zheng, 1996) with an efficiency of 17.6% for an active layer thickness of only 17 /im.
3.5.5 Practical example of bulk recombination in Si In the base of crystalline Si cells, the minority carrier lifetime is mainly determined by Shockley-Read-Hall recombination centres. The nature and the density of these centres strongly depend on the Si substrate material. In monocrystalline Si, the number of defects is smaller than in multicrystalline Si because grain boundaries interrupt the periodicity of the lattice and create states in the energy gap of the semiconductor through which recombination can possibly occur. Multicrystalline Si materials are also often characterised by much higher intragrain defect concentrations than single crystalline silicon. Metallic impurities Metallic impurities in silicon gives rise to states in the forbidden energy gap through which recombination can occur. This effect is often expressed by a threshold concentration in silicon for which the cell efficiency is reduced by 10%. These concentrations vary from 10" atoms cm"3 for impurities such as tantalum and molybdenum up to 1017 atoms cm"3 for copper. Fortunately, impurities with the smallest threshold concentration also have the smallest segregation coefficient (this is the ratio of then concentration of the impurity in solid silicon to the concentration in the liquid phase). Segregation also explains why the efficiency of some multicrystalline Si cells is reduced less by the presence of contaminants in the feedstock than that of monocrystalline Si cells: the rejection of metallic impurities into the liquid
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occurs more efficiently during the solidification of a multicrystalline ingot because of the larger solid-liquid interface and the lower solidification rates. Moreover, the impurities can be removed to the grain boundaries leaving extensive high-purity intragrain crystal regions. For some metallic impurities the presence of oxygen or carbon plays an important role and the trapping process at grain boundaries via oxygen or carbide bonds enhances the electrical activity of grain boundaries (Pizzini, 1985). Carbon and oxygen are important impurities in Si. The concentration of these two elements in Si substrates depends on the preparation method. Oxygen is unavoidably introduced by the quartz crucible during the Czokralski process used to prepare monocrystalline Si and carbon is particularly important in multicrystalline ingots prepared in graphite moulds. It is well known that oxygen and carbon mutually interact as they segregate onto defects. The segregation process depends on the relative concentration of both elements as determined by the ingot preparation method. The segregation of oxygen and carbon influences the electrical activity of extended defects such as grain boundaries. Although extended defects and isolated oxygen and carbon atoms in silicon are often electrically inactive, interaction among them as well as with metallic impurities can induce electrical activity. Lifetime-restoring treatments Gettering and hydrogen passivation are generally used in order to increase the minority-carrier lifetime in multicrystalline silicon having electrically active defects. Gettering requires high temperatures (typically 900 C) to allow efficient removal of metallic impurities to an intentionally damaged layer at the front or backside of the cell. This layer can eventually be removed during subsequent processing. Hydrogen passivation occurs at much lower temperatures (typically 300-400 C) and is therefore done at the end of the process. Gettering Gettering can be aimed at either the elimination of defects or the removal of metallic contamination. Internal gettering is provided by intrinsic or extrinsic defects created in the interior of the material. In the case of external gettering, the gettering sites are generated by an external processing step such as a phosphorus diffusion or an aluminium-alloyed back-surface-field region. For solar cells in particular external gettering is important.
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The three major steps in a gettering process are: 1. The dissolution or release of the contaminants in the active device area; 2. The diffusion of the contaminants; 3. The stable capturing of the contaminants at a predefined gettering region. In most cases this region is obtained by a heavy phosphorus diffusion with a large concentration of damage sites and therefore a high solubility for contaminants. Gettering can be particularly useful in the case of multicrystalline Si substrates. Narayanan et al. (1986) have shown that a phosphorus pretreatment can increase the diffusion length in multicrystalline substrates. Martinuzzi et al. (1988) studied phosphorus-gettering techniques in detail and found that an optimum temperature for gettering exists. This optimum, lying around 900 C, results from the competition between external gettering, which extracts impurities, and internal gettering, that decorates the grain boundaries and increases the recombination at defects in the material. The efficiency of gettering steps depends on the method used and phosphorus gettering cannot remove impurities from precipitates and clusters. Other experimental results have indicated that high-quality semicrystalline silicon substrates with initial diffusion lengths exceeding 150 /im do not improve substantially following a phosphorus-gettering treatment. On the other hand, it has been shown that phosphorous gettering and subsequent gettering by aluminium or boron are additive Hydrogen passivation It is well known that hydrogen atoms introduced into silicon act as terminators for the dangling bonds associated with the crystal defects in the multicrystalline material. Three ways to introduce atomic hydrogen have been proposed: ion implantation, plasma hydrogenation in a hydrogen glow discharge, and hydrogenation using a plasma- deposited silicon nitride layer. Hydrogenation can be performed through the front- or backside. There are contradictory results (see e.g. Elgamel, 1998) concerning the efficiency of frontside hydrogenation by hydrogen plasma and silicon nitride in the literature. Whereas some groups have reported significant improvements in cell efficiency resulting from frontside hydrogenation, others found none. It is generally agreed that frontside hydrogenation is critical in the case of oxide-passivated Si emitters. For these cells, the plasma power must be adjusted to avoid damage to the oxide during plasma treatment. If the plasma power is too high hydrogenation may actually result in an efficiency decrease. It has also been found that, in the case of cells which are covered by nitride on both sides, efficiency greatly improves after heat treatment at 700 C. Heat treatments after hydrogen implantation reverse the
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133
degradation of the silicon/silicon dioxide interface which occurs during the electrode firing. This recovery of the surface passivation and the bulk lifetime suggests that some form of hydrogenation will remain necessary in most future high-efficiency cell processing lines, even if the initial diffusion lengths exceed the wafer thickness. Moreover, as for gettering, hydrogen passivation results in a narrower efficiency distribution in production.
3.6 Design and fabrication of the metal contacts This section will address the design of the metallisation scheme. First, the design of the most widespread two-sided contacting scheme will be discussed. The trade-off between series resistance loss and optical losses by reflection on the metal fingers determines the final design of the front grid. The importance of the grid design is even greater in concentrator cells, more details of which can be found in Chapter 12. The second part of this section will deal with one-sided contacting schemes.
3.6.1 Two-sided contact design Optimisation of the front contact pattern Most cell designs are based on a two-sided contacting scheme, a schematic illustration of which is shown in Fig. 3.27a and b. The carriers are collected by metal contacts at both sides of the cell. Fig. 3.28a shows a top view of the front-surface finger structure. The narrow fingers collect the current and transport it to the busbars, which are connected to the external leads. Fig. 3.27b shows a cross-section of the twodimensional contacting scheme. Although the carrier flow inside the cell is mostly vertical, the flow in the upper (emitter) layer of the cell is in the horizontal direction towards the collecting fingers. The main design parameters are those relating to the finger grid at the frontside of the cell: the finger spacing S and the finger width Wf. The treatment given below is generally applicable to homojunction cells (e.g. n+-p Si solar cells), heterojunction cells (e.g. CdS/InP, CdS/CuInSe2, CdTe/ITO) and MIS cells. The carrier flow in the base layer of the cell is assumed to be purely in the vertical x-direction and homogeneously distributed over the v-plane. Although this is a reasonable approximation, deviations occur because of the absence of generation under the metal fingers and the influence of resistance drops in the upper layer on the forward injected current.
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Detailed optimisations based on the real two-dimensional carrier flow inside a Si highefficiency n+-p Si homojunction cell can be found in the work of Aberle,1994 (see also Chapter 2). wf
•
<
A*Finger
1
<—
t t t Jb Base K \
\
V k k
Busbar
(a)
(b)
Figure 3.27 (a) Typical front contact lay-out. 5 is the finger spacing and Wf is the finger width. In the simple case, the finger width is constant; (b) cross section of cell showing the vertical carrier flow in the base of the cell and the horizontal majority carrier flow in the emitter
When the carrier fluxy'fc towards the junction is homogeneously distributed and the upper layer is characterised by the sheet resistance pSheet> t n e resistive losses in the upper layer per unit length of the finger are given by 5/2
5/2
J l\x)dR=
J
0
0
fbb2x2p, „dx =
JbPshea"
(3.28)
This value should be compared with the maximum power delivered by the cell (again per unit length of metal finger), which is given by eq. 3.29, where /mp and Vmp are the current and voltage generated at the maximum power point. The relative loss, defined as the ratio of the contact loss to the maximum power, is then given by eq. 3.30. (3.29)
P =V I • mp
mp mp
Relative loss = -
,S2L 4V
(3.30)
Equation 3.30 illustrates the importance of the finger spacing and the sheet resistance of the upper layer. Achieving low values for the sheet resistance is
Principles of Cell Design
135
obviously a promising way to reduce the resistive losses. Decreasing this by going to deeper emitters or thicker transparent conductive layers will, however, increase other losses. In both cases part of the upper layer will no longer contribute to the current but instead act as a 'dead layer'. Screen printing In this technique, widely used for industrial non-concentrating Si solar cells, a metalcontaining (mostly Ag) paste is printed through a suitably patterned screen. Besides the metal particles and organic binders, the paste contains glass frit (dispersed glass particles). After printing, the paste is dried and subjected to a high-temperature cycle ('firing'). The back and front metallisations can be fired separately or together (cofiring). After firing, the Ag particles form a series of point contacts to the top of the emitter layer. Because of these point contacts, the front Si surface has to be heavily doped (>2 x 1020 cm"3) to keep the contact resistance below 10~3 Q. cm2. For the backside metallisation, Al is added to the paste. Contact resistance is less of a problem at the backside because of the larger metallised area. In addition, the Al-alloyed highly doped region at the backside provides an efficient back-surface field. The main advantage of screen printing is its simplicity and cost-effectiveness. Drawbacks which are often cited are the relatively large line width, the high contact resistance due to oxide precipitation from the glass frit, and the low (broad and flat) aspect ratio of the metal lines, which results in large shadowing losses. Recent efforts have focussed on these limitations and, in combination with the bulk and surface passivation caused by hydrogen out-diffusion from PECVD-nitride during a 'firingthrough process', significant progress has been made with the screen-printing technique for crystalline Si solar cells (Duerinckx et al., 1997 and 1998). The advent of low-cost methods for the realisation of a selective emitter (see e.g. Horzel et ai, 1997 and Ruby et al., 1997) provided an additional boost to the screen-printing technology. As a result, efficiencies between 17 and 17.5%, both on large-area monocrystalline (Nijs et al., 1996) and industrial-type multicrystalline (Shirasawa et al., 1994) Si cells have been reported. Plating/buried contact technology Plating is a technique whereby a metal, dissolved in an aqueous solution, is deposited on a substrate. This can be realised by passing a direct current through the solution (electroplating), but in the context of Si solar cells, the most widely used technique is electroless plating. Here the plating is performed by chemical deposition under such
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circumstances that the metal deposition occurs selectively in regions where the Si surface is in direct contact with the solution. The low aspect ratio of the contacts is one of the drawbacks of the screen-printing technique. A solution to this problem is the so-called 'buried contact' technology, whereby the metal is electrolessly plated into deep grooves, obtained by laser scribing or mechanical cutting. In most instances a triple layer, consisting of Ni, Cu and Ag is used. A cross section of the final cell is shown in Fig. 3.28. plated finger in groove n +-emitter n ^emitter substrate
Figure 3.28
Schematic cross section of buried-contact structure.
The first versions of this technology made use of an oxide layer in between the grooves to avoid metal deposition (see e.g. Wenham, 1993). Subsequently this oxide layer was replaced by a nitride layer (Bruton, 1991) since this withstands high temperature steps and also provides better anti-reflection properties. The buriedcontact approach is inherently a selective emitter approach, because two different diffusions are carried out during the process. There is a shallow diffusion in between the grooves, but a very deep diffusion within the grooves. Together with the low shadowing losses resulting from the high aspect ratio of the fingers, this technology has produced efficiencies between 16 and 18% on mono- and multicrystalline largearea Si solar cells. Transparent conductive oxides If the sheet resistance of the emitter is high, the use of a finger contact pattern at the frontside of the cell is excluded. Under such circumstances, a high-conductance layer covering the front surface is necessary. The transparent conductive oxides (TCOs) are a special class of materials that exhibit good electrical conductivity, high optical transparency and a high band gap. This makes them especially useful as n-type 'window layers' or transport layers on top of the actual window layer. The best known TCOs are Sn0 2 , ZnO and ITO (which is ln 2 0 3 containing 0.2-2% Sn). Table 3.5 gives typical resistivities for some state-of-the-art TCOs.
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Principles of Cell Design
Whereas the screen-printed and buried contact approaches are widely used in crystalline Si solar cells, TCOs are used in CdTe, CIS and a-Si:H cells. The common feature of all these cell types is their high sheet resistance, which excludes significant sideways current transport in the emitter window layer. Table 3.5
Resistivities of some state-of-the art TCOs
TypeofTCO In203:Sn
Resistivity/Q cm 4
1.5 x IV
4
Reference Wu, 1997
Sn0 2 ZnO:Al
3.3 x 10"
Wu, 1997
1.7 xHT 4
Zafar, 1995
Cd 2 Sn0 4
2.0 x 10"4
Wu, 1997
3.6.2 One-sided contact designs Although the two-sided contact design is the most straightforward approach at the cell level, there is strong interest in realising one-sided contacting schemes. An obvious advantage is the elimination of shadowing losses when all the contacts are at the backside. This is important in cells for concentrating systems, where shadowing losses are more important. Additionally, one-sided contact designs are particularly attractive at the level of module production. Monolithic integration of cells on a large insulating substrate could be an important factor in cost reduction because the series interconnection between the front contact of a cell to the backside of the next cell in a conventional module forms an important part of module production costs. A common feature of the one-sided contact designs are the more stringent requirements on the level of surface passivation and (or) bulk lifetime. The analysis and simulation of these structures is complex and requires the use of more advanced simulation tools. This will be illustrated by a number of examples taken from Si-based photovoltaics. In contrast with the two-sided contact case, it is in most cases not possible easily to decouple vertical and horizontal carrier. An eminent example of such two-dimensional model is the analytical model, developed by Swanson (1986) for the radial carrier flow near the contacts in a point-contact cell (see Fig. 3.30). In most cases, however, two-dimensional simulation tools are necessary. The reader is referred to the work of Hebling (1995), who relied on a two-dimensional numerical simulator (DESSIS) to optimise the contact grid for the interdigitated cell structure for thin-film crystalline Si solar cells on a non-conductive substrate (see Fig. 3.31).
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Cell structures with all the contacts at the backside One can distinguish two versions of this cell type, the point-contact and interdigitated designs shown in Fig. 3.29. The main difference between the two is the reduced backside area with a high doping and metallisation in the point-contact design, which achieves higher open-circuit voltages because of reduced recombination at the surfaces (see Section 3.4.1).
I
sunlight (a)
Figure i.29
I
sunlight (b)
(a) Backside point-contacted solar; (b) backside interdigitated contact solar cell.
Common to both approaches is the extreme requirement on front-surface passivation. This is alleviated for application in concentrating solar cells (see Section 3.4.1). In addition, the bulk lifetime has to be very high in order to allow the carriers to diffuse to the backside. Because of this and the lower surface recombination achievable on rc-type Si as compared with p-type Si surfaces, n-type floatzone Si wafers are generally used. Using the point-contact approach, an efficiency of 22% has been achieved under 1-Sun conditions and 26.8% under 50-Sun concentration (Verlinden, 1995). The severe requirements on surface recombination velocity and bulk lifetime can be reduced by including a front-surface field to reduce front-surface recombination (Von Roos, 1978) or by going to the emitter wrap-through design shown in Fig. 3.30 (Schoenecker, 1997, Van Kerschaever, 1997). In the latter case, the base diffusion length necessary to ensure efficient collection of the minority carriers is only half the substrate thickness Modified versions of the EWT concept that reduce the number of holes to be made in the substrate are under development (Einhaus, 1997).
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/; -Si
p ~Si
p +-region
p -region TSffl—BBBBBT
I p -contact Figure 3.30
+
n -contact
TCw
I p ^contact
Schematic cross section of the emitter-wrap-through (EWT) cell.
Cell structures with all contacts at the frontside Although the advantage of no shadowing loss is lost if all the contacts are at the frontside, several groups are working on this concept in the context of developing a thin-film crystalline Si solar cell technology on an insulating substrate (see Fig. 3.31).
Implanted Si02-layer Si-substrate
Figure 3.31
Frontside-contacted interdigitated cell (after Hebling, 1995).
The monocrystalline Si version of the structure in Fig. 3.31 was realised on SIMOX-wafers by growing a 50 /xm epitaxial Si layer by Chemical Vapour Deposition at high temperature. An efficiency of 19.2% was obtained, whereas an efficiency of 11% was obtained for a thin-film Si structure on graphite, both for smallarea cells.
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3.7 Conclusions This chapter has given an overview of techniques and principles which will reappear regularly in the following chapters, where their application will be focussed on one type of material (Si, III-V compounds, polycrystalline thin-film solar cells) or one type of application (concentrators, space solar cells). Chapter 4 provides an excellent example where a lot of the concepts discussed in this chapter flow together in one design, the PERL design for high-efficiency Si solar cells. In the PERL design, concepts such as the selective emitter, local back-surface field, well passivated frontand backside surfaces, texturing to reduce reflectance and increase the optical path length and an efficient back side reflector are applied to bring the efficiency of the cell near its theoretical limit. These techniques and principles are the result of intensive research over the last forty years that has required the simultaneous understanding of electrical and optical effects. The remaining challenge is to find a cost-effective way to apply these principles to construct a low-cost solar cell with high and stable efficiency, a unifying idea striven for in the majority of the following chapters of this book.
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CHAPTER 4
CRYSTALLINE SILICON SOLAR CELLS MARTIN A. GREEN Photovoltaics Special Research Centre, University of New South Wales, Sydney, N.S.W. AUSTRALIA, 2052 [email protected] "Vast Power of the Sun Is Tapped by Battery Using Sand Ingredient." Front page headline, New York Times, 26 April 1954.
4.1 Overview Front page headlines in the New York Times and the Wall Street Journal in 1954 heralded to the world the demonstration of the first reasonably efficient solar cells, an event made possible by the rapid development of crystalline silicon technology for miniaturised electronics. Since that time, the majority of solar cells fabricated to date have been based on silicon in monocrystalline or large-grained polycrystalline form. There are two main reasons for this. One is that silicon is an elemental semiconductor with good stability and a well-balanced set of electronic, physical and chemical properties, the same set of strengths that have made silicon the preferred material for microelectronics. The second reason why silicon cells have been so dominant is that the success of silicon in microelectronics has created an enormous industry where the economies of scale directly benefit the presently smaller photovoltaics industry. Most silicon cells have been fabricated using thin wafers cut from large cylindrical monocrystalline ingots prepared by the exacting Czochralski (CZ) crystal growth process and doped to about one part per million with boron during ingot growth. A smaller but significant number use what are referred to as 'multicrystalline' wafers sliced from ingots prepared by a simpler casting (or, more generally, directional solidification) technique, which produces large-grained polycrystalline ingots. To produce a cell, these boron-doped starting wafers generally have phosphorus diffused at high temperatures a fraction of a micron into the surface to form the p-n junction required. Metal contacts to both the n- and the p-type side of the junction are formed by screen printing a metal paste that is then densified by firing at high temperature. Each cell is typically 10-15 cm either in diameter or along either side if square or rectangular.
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Figure 4.1 Exploded view of a standard silicon photovoltaic module. The different layers shown are laminated together under pressure at a temperature around 140-150 C where the transparent EVA (ethylene vinyl acetate) softens and binds the different layers together on cooling. Source: Green and Hansen (1998).
Cells generally are sold interconnected and packaged into a weatherproof, glassfaced package known as a module, as shown in an exploded view in Fig. 4.1. Each module typically contains 36 cells soldered together in series. Since each individual cell gives a maximum output of about 0.6 V in sunlight, this results in a module of over 20 V maximum output voltage, sufficient for fully charging a normal 12 V leadacid battery. The output current of each cell depends on its size and the sunlight intensity (solar irradiance) but generally would lie in the 2-5 A range in bright sunshine. The packaging consists of a glass/polymer laminate with the positive and negative leads from the series-connected cells brought out in a junction box attached
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to the module rear. Such modules have proved extremely reliable in the field with all manufacturers offering a 10-25 year warranty on the module power output, one of the longest warranties on any commercial product (saucepans have been suggested as one of the few manufactured products with a comparable warranty period!). The efficiency of the cells in the module would typically lie in the 12-16% range, less than half the fundamental 'detailed-balance' limit of 33% for silicon (Tiedje et ai, 1984). Module efficiency is slightly lower than that of the constituent cells due to the area lost by frames and gaps between cells, with module efficiency generally lying in the 10-13% range. Over the last few years, commercial cells and modules of significantly higher performance have been available in multi-megawatt quantities using a more advanced cell processing technology (developed by the author's research group), discussed in more detail in the text. This technology produces cells of 17-18% efficiency and module efficiency in the 14-15% range. (Unless otherwise noted, all efficiencies quoted in this chapter are at standard test conditions, namely with a cell temperature of 25 C under 1000 W m~2 sunlight intensity with the standard global air mass 1.5 spectral distribution). This chapter discusses the historical and ongoing links between silicon solar cells and the broader microelectronics industry. Also discussed are standard and improved methods for preparing silicon cell substrates and for processing cells to extract as much performance as possible from such substrates at the lowest possible overall cost. The chapter also describes recent progress with supported silicon films. These provide a 'thin-film' approach for transforming silicon technology from the thoroughbred of the twentieth century to a much lower cost, market-leveraging workhorse of the twenty-first.
4.2 Silicon cell development The development of silicon photovoltaics is inextricably intertwined with the development of the general silicon electronics field and the subsequent founding of the microelectronics industry. The rapid increase in interest in the properties of doped silicon in the 1940s was triggered by the astonishing photovoltaic properties demonstrated by serendipitously formed p-n junctions, as described below. This increased interest led directly to the development of point contact and junction transistors and ultimately to integrated circuits. The earliest commercial silicon electronic devices were silicon point-contact or "cat's whisker" diodes which date from the early 1900s (Riordan and Hoddeson, 1997). These devices rectified electrical signals at a junction formed by pressing a thin
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metal wire against a piece of polycrystalline silicon (other semiconductors, such as silicon carbide, were also used). These cat's whisker diodes were key components in early radios. By the 1930s, thermionic valves had replaced these diodes in most applications. However, the evolving field of microwave technology created a renewed interest in the cat's whisker diodes in the mid-1930s. At Bell Laboratories in the USA, Russell Ohl guessed that impurities were the cause of the erratic behaviour often observed whereby the cat's whisker only operated correctly if located on a 'hot spot' in the silicon. Ohl therefore encouraged colleagues to grow samples of purer silicon, by melting the purest material available in a quartz capsule, and then cooling. In one specific ingot, the eighteenth in the series (Riordan and Hoddeson, 1997) which had been prepared by very slow cooling, Ohl and his colleagues found unusual properties, including a surprisingly large photovoltage of about half a volt when the ingot was illuminated by a flashlight. The silicon in this ingot showed two distinct types of properties, dubbed "positive" (p-type) and "negative" (n-type), depending on the polarity required for easy current flow between the material and a metal wire placed on the silicon surface, and also the polarity of voltage observed under illumination. It was quickly realised that the junction between the p-type and n-type regions, the p-n junction, was responsible for the unusual properties of the original ingot. The first silicon solar cells were formed by cutting the ingot to include sections with both a pandrc-typeregion and applying metal contacts (Ohl, 1941). These earliest silicon solar cells, shown in Fig. 4.2a, appear, based on available data, to have been only a fraction of percent efficient, but were still very much better in performance than earlier photovoltaic devices which had been based on selenium or cuprous oxide. The "grown-in" junctions in the earliest cells arose from the serendipitous distribution of p-type (boron) and n-type (phosphorus) impurities in the silicon resulting from the slow solidification process. Ohl realised that more controllable ways of forming the junction would be likely to give better performance. In the early 1950s, he was involved in experiments aimed at forming surface junctions by implanting helium at high energy into the surfaces of p-type polycrystalline silicon (Kingsbury and Ohl, 1952). Although this approach produced improved cells of efficiency estimated to be up to 1%, (Fig. 4.2b), this work was soon overtaken by independent improvements in silicon technology also made at Bell Laboratories, particularly in two areas. The first was the development of techniques for preparing single crystals of silicon using the Czochralski method. The second was the formation of junctions by the hightemperature diffusion of dopant impurities into the silicon surface. Combining these two techniques, researchers at Bell Laboratories were able to announce the first modern silicon solar cell in early 1954, in one of the early successes of the diffused junction approach (Chapin et al., 1954). Figure 4.2c shows the resulting cell structure.
153
Crystalline Silicon Solar Cells
top contact (+)
p-type
rear contact (-) grown junction (a)
p-type
(b)
p-type
Figure 4.2 (a) Silicon solar cell reported in 1941 relying on 'grown-in' junctions formed by impurity segregation in recrystallised silicon melts; (b) helium-ion bombarded junction device of 1952; (c) first modern silicon cell, reported in 1954, fabricated on single-crystalline silicon wafers with the p-n junction formed by dopant diffusion. Source: Green (1995).
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The impressive performance of these cells by previous standards, up to 6% energy conversion efficiency, created enormous interest at the time, as the newspaper headline at the beginning of this chapter suggests, and it also generated unbounded enthusiasm for the future of these devices. This enthusiasm proved to be premature, although the cells did find an almost immediate application in spacecraft. Space applications drove the rapid improvement in cell technology such that, by the early 1960s, cell energy conversion efficiency of about 15% under terrestrial sunlight had been demonstrated and cells had found a secure market niche in providing power for a rapidly increasing number of satellites (Wolf, 1976). The basic cell design which evolved (Fig. 4.3a), remained unchanged from the early 1960s for almost a decade. In the early 1970s, a reassessment of cell design at COMSAT Laboratories showed that a shallower diffusion combined with more closely spaced metal fingers could give a substantial improvement in the cell performance by improving the response to blue wavelengths (Lindmayer and Allison, 1973). The resulting cells, shown in Fig. 4.3b, known as "violet" cells due to their characteristic colour arising from the shorter wavelengths reflected, produced the first improvement in cell performance for over a decade. This improvement was augmented by the realisation that incorporating a thin heavily doped layer under the back contact, a so-called "back-surface field", gave unexpected benefits (Godlewski et al., 1973). This approach worked best if the rear doped layer was formed by alloying the underlying silicon with aluminium deposited over the rear of the cell. Not long afterwards, the idea of using anisotropic chemical etches to form geometrical features on the silicon surface was successfully demonstrated, also at COMSAT Laboratories (Haynos et al., 1974), and resulted in a further boost in cell performance, taking terrestrial cell performance to above 17% (Fig. 4.3c). The surface features consisted of square-based pyramids defined by slowly etching {111} crystallographic planes. These greatly reduced reflection from the cell surface, giving these 'black' cells the appearance of black velvet after antireflection coating. The improvements of the early 1970s came about primarily by improving the ability of the cell to collect carriers generated by the incoming photons. Since cells now appeared to be performing to close to their full potential in this area, it seemed that any further improvement in silicon cell performance would have to result from improved open-circuit voltage. Such improvement became the focus of work directed at increasing cell efficiency throughout the second part of the 1970s, largely as a result of a program directed by NASA-Lewis with this as a goal in order to improve space cell performance (Brandhorst and Bernatowicz, 1980).
Cryslailine Silicon Solar Cells
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antireflection coatinc
top metal finger
i-type
thin n-type layer
p + layer textured surface (b) surface
(c) Figure 4.3 (a) Space silicon cell design developed in the early 1960s which became a standard design for over a decade; (b) shallow junction 'violet' cell; (c) chemically textured non-reflecting 'black' cell. Source: Green (1995).
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On the commercial front, the oil embargoes of the early 1970s had generated widespread interest in alternative sources of terrestrial energy. A small terrestrial photovoltaic industry came into existence largely as a result of the US Government's photovoltaic program. One component of this program (Christensen, 1985), arguably the most successful in terms of developing the industry and its products, involved a staged series of purchases of photovoltaic modules meeting increasingly stringent specifications. The first such purchase in 1975/6, known as "Block I", was remarkable for the diversity of both cell fabrication approaches and module encapsulation approaches used in the product supplied by four different manufacturers. One manufacturer, Spectrolab of Sylmar, California, supplied cells where the contacts had been applied using screen-printing (Ralph, 1975), the forerunner of the millions of cells of this type which were to follow. In the "Block II" purchases under this program (1976/7), the same company combined screen-printed cells with a laminated module design (Fig. 4.1), a combined approach that had been adopted by almost all commercial manufacturers by the early 1980s and, with relatively minor modification, remains the present commercial standard. The main features of a commercial screen-printed cell are shown in Fig. 4.4. The basic cell design is similar to that of a standard space cell of the 1960s (Fig. 4.3a), but incorporates the surface texturing of the 'black' cell of Fig. 4.3c as well, of course, as the screen-printing approach to applying the front and rear contacts. Since the Block II purchases of 1976/7, no major changes have been made in either the basic screen-printed approach to cell fabrication or to the cell encapsulation approach until quite recently. Considerable attention, however, has been directed towards reducing the cost of the silicon wafer, usually grown by the Czochralski technique, since this accounts for about 40% of the cost of a standard silicon module. The most successful approach has been the simplification of the ingot growth processes by using cruder directional solidification or 'casting' approaches to produce multicrystalline ingots (Ferrazza, 1996). The first multicrystalline silicon cells developed specifically for the terrestrial market were reported in 1976 (Lindmayer, 1976; Fischer and Pschunder, 1976) and commercial multicrystalline cells have been available since the late 1970s. These multicrystalline approaches involve basically a reversion to the earlier ingot-forming approaches for crystal rectifiers, techniques predating the microelectronics explosion. In 1998, multicrystalline silicon cells accounted for about 30% of the total market for photovoltaic product. Another major area of developmental emphasis has been to reduce the thickness of the silicon wafer by slicing it more thinly. This is resulting in a steady replacement of inner diameter sawing methods traditionally favoured by the microelectronics industry by wire cutting approaches, as described in more detail in Section 4.3.1.
Crystalline Silicon Solar Cells
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150 urn P\ I
Figure 4.4
3mm
Screen-printed crystalline silicon solar cell (not to scale). Source: Green (1995).
On the research front, it had become apparent by the late 1970s that oxide passivation of the cell surfaces was the key to obtaining improved open-circuit voltage. The early 1980s saw a series of successively improved oxide-passivated cells fabricated by the author's group at the University of New South Wales (UNSW) taking silicon cell efficiency past 18%, then past 19% and finally 20%, the "four minute mile" of the photovoltaics area. The UNSW group has held the world record for silicon cell performance, almost without interruption, since this time. The UNSW-developed microgrooved PESC cell (passivated emitter solar cell) of Fig. 4.5a was the first silicon cell to exceed 20% energy conversion efficiency in 1985. The same basic approach has since been used by several other groups to produce cells of similar efficiency, with commercial quantities produced for solar car racing and for space. The approach is characterised by the use of a thin thermally grown oxide to "passivate" (reduce the electronic activity of) the top surface of the junction diffusion (the emitter of the cell), combined with the use of a shallow, high sheet resistivity phosphorus diffusion for this emitter. Another is the use of photolithography to produce relatively small contact area to this emitter region by defining openings in the "passivated oxide". Photolithography is also used to pattern the top contact fingers and to align these fingers to the oxide openings. The rear of the cells borrows the "alloyed-aluminium back-surface-field" approach from earlier space cells. In this approach, a layer of aluminium is deposited on the rear of the cell and
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Figure 4.5 (a) The microgrooved passivated emitter solar cell (PESC cell) of 1985, the first silicon cell to exceed 20% efficiency; (b) buricd-contact solar cell. Source: Green (1995).
alloyed into the cell at temperatures above the Si-Al eutectic. After cooling, this produces a layer of p-type Si heavily doped with Al at the rear of the silicon substrate. This reduces rear contact recombination rates. Some improvement of substrate quality also occurs during alloying by defect "gettering". A parallel PESC approach had, prior to 1998, given the best results for multicrystalline silicon cells, with efficiencies up to 18.6% demonstrated on such material by this approach (Rohatgi et al., 1996).
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Cells of a similar quality to the first 20% efficient PESC cell have also found their way into high-volume terrestrial cell manufacture through the laser-grooved buriedcontact cell of Fig. 4.5b. This cell retains an alloyed aluminium rear and also incorporates the improvements in front-surface passivation first demonstrated by the PESC cell. To make the approach suitable for low cost production, however, the photolithographic metallisation of the PESC cell is replaced by a unique combination of laser grooving, to define the areas to be metallised, followed by electroless metal plating. The oxide in this case not only serves as top-surface passivation, but it also serves as a diffusion mask to confine the heavy diffusion to the laser grooved areas and as a plating mask for the subsequent plating of metal into these grooved areas. In commercial versions of this sequence, the oxide can be replaced by a high-temperature dielectric such as silicon nitride, as discussed in more detail in Section 4.4. The buried-contact approach now produces the highest performance terrestrial cells that are produced in any appreciable volume, with efficiency in the 17-18% range routinely obtained using standard low-cost commercial silicon wafers. The next major laboratory improvement in silicon cell design came in the use of oxide passivation along both the front and rear surfaces, as first demonstrated in the rear point contact solar cell developed by Stanford University. As shown in Fig. 4.6, this cell has an unusual design in that both positive and negative contact are made at the rear surface of the cell. Although this might, at first sight, appear to be a regression to a similar design to that used in the first modern silicon cell of Fig. 4.2c, there is a substantial difference in the way the two types of cells operate. For the modern rear contact cells, which take advantage of the excellent quality of silicon presently available, carrier diffusion lengths are several times the cell thickness, allowing carriers photogenerated near the top surface of the cell to diffuse to the rear contacts. In the earlier device, the junctions at top and rear surfaces are electrically connected by the junction around the cell edge. Most carriers in this earlier cell are collected by the top junction and flow around the edge of the cell to the rear contact, an approach that is only feasible for small area cells. The rear point contact cell demonstrated 22% efficiency in 1988 and has since been commercialised, finding use in photovoltaic systems which rely on concentrated sunlight and for high value-added applications such as solar car racing and high-altitude aircraft flights (Verlinden et al, 1997). The next improvement in silicon cell efficiency came, again at UNSW, by combining the earlier developments in the PESC cell sequence with the front and rear oxide passivation first demonstrated in the rear point contact cell. This is possible in a number of ways as shown in Fig. 4.7. In the PERC cell (passivated emitter and rear cell) of Fig. 4.7a, the first to be successfully demonstrated, rear contact is made to the
M. A. Green it busbar
Figure 4.6 Rear point contact solar cell which demonstrated 22% efficiency in 1988 (cell rear shown uppermost). Source: Green (1995).
silicon substrate through holes in the rear passivating oxide. This approach works reasonably well provided the substrate is sufficiently heavily doped for contact resistance between the metal and substrate not to be an issue (below about 0.5 Q cm resistivity for p-type substrates). The PERC cell is often suggested as a relatively low cost way for making silicon cells above 20% efficiency, since it is the simplest of the approaches of Fig. 4.7. Historically, the next improvement was demonstrated by the PERL cell (passivated emitter, rear locally diffused cell) of Fig. 4.7b. In this case, local diffusion is used in the area of the rear point contact to provide a minority carrier-reflecting region between this contact and the substrate and to reduce contact resistance. This approach produced the first 24% efficient silicon cell in 1994 (Zhao et ai, 1995) and holds the current world record of 24.5% (Zhao et ai, 1998). The PERL cell has been used in reasonably large quantities in solar car racing and in space cells. The third cell of Fig. 4.7c is the PERT cell (passivated emitter, rear totally diffused). To date this has not given as good a performance as the PERL cell but it offers some fabrication simplifications. The PERT cell has also been used as the basis of space cell production.
Crystalline Silicon Solar Cells
linger
"inverted- pyramids
rear contact
linger
oxde
"inverted" pyramids
rear contact
°><de
Figure 4.7 A family of four related high efficiency solar cell structures: (a) the passivated emitter and rear cell (PERC cell); (b) the passivated emitter, rear locally diffused cell (PERL cell) which took efficiency above 24% in the early 1990s; (c) the passivated emitter, rear totally diffused cell (PERT cell); and (d) the passivated emitter, rear floating junction cell (PERFcell). Source: Green and Hansen (1998).
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The final structure shown in Fig. 4.7d, the PERF cell (passivated emitter rear floating junction) offers perhaps the best long-term potential for high performance. This structure has produced the highest open-circuit voltage silicon cells to date with open-circuit voltage up to 720 mV demonstrated under standard test conditions (Wenham et ai, 1994), together with efficiencies above 23%. One feature of these more recent cell designs is the very effective trapping of light within the cell. By depositing metal over the entire rear surface of the cell but ensuring it is displaced from the silicon substrate by an intervening layer of oxide, very high rear reflectance for light striking this rear reflector structure from within the cell is obtained. When combined with appropriate geometrical structure on the front surface of the cell, weakly absorbed light that is reflected from this rear surface can be trapped quite effectively within the cell after total internal reflection from this front surface. This greatly extends the response of the cell to infrared wavelengths. Cells that convert such wavelengths with an efficiency approaching 50% have been demonstrated (Green et ai, 1992).Although oxide passivation remains the most effective technique for passivating cell surfaces yet demonstrated in experimental devices, recent work using wider band-gap amorphous or microcrystalline silicon layers has also produced encouraging results, as has work with specially deposited silicon nitride. A cell using an amorphous silicon emitter layer has been reported to give good performance (Tanaka et ai, 1993), although fundamentally limited to being less efficient than an oxide-passivated cell due to the poor electronic quality and the strong absorption in the amorphous silicon material. Similarly, cells with rear passivation using microcrystalline silicon layers instead of thermal oxide have produced quite encouraging results (Okomoto et ai, 1997) although they are also inherently not capable of matching the optical performance of oxide passivated devices due to parasitic absorption in the microcrystalline layer. Excellent surface passivation properties have also been reported for silicon nitride deposited by a remote plasma approach (Aberle et ai, 1997). How will cell design evolve in the future? Some insight is provided by Fig. 4.8, which shows the calculated intrinsic energy conversion efficiency bounds on single-junction silicon solar cells, with and without 'lambertian' light trapping. In 'lambertian' light trapping schemes, the light direction within the cell is randomised (Green, 1995) allowing path-length enhancements to be quite readily calculated (about 50 in idealised situations). The best laboratory cells have demonstrated close to 85% of the achievable efficiency, according to this figure. In the best experimental devices, performance losses of the order of 5% arise from less than ideal values of each of the short-circuit current, open-circuit voltage and fill factor parameters. The short-circuit current losses are most easily identified and reduced. These come from metal finger
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coverage of the top surface, top-surface reflection loss, and less than perfect light trapping in the experimental cells. The voltage loss arises from finite surface and bulk recombination in excess of the lower limit imposed by intrinsic Auger recombination processes (Green, 1984). The fill factor loss comes not only from ohmic series resistance loss within the cell, but also from the same factors producing the opencircuit voltage loss. To eliminate the latter, parasitic recombination must be sufficiently reduced so that the dominant recombination component at the cell's maximum power point is Auger recombination. This is a more challenging requirement than the corresponding criterion at open-circuit voltage (Green, 1984). 3J
'•"'Tambertian
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Figure 4.8 Limiting efficiency of a silicon solar cell as a function of cell thickness with and without lambertian light trapping (global AM1.5 spectrum, 100 mW cm""2, 25 C). Source: Green (1995).
As opposed to the case of laboratory devices, most manufacturers of commercial cells would be very pleased to be producing consistently cells of half the limiting efficiency of Fig. 4.8. Some of the difference between laboratory and commercial cell performance is due to poorer quality of silicon substrate material. A large component, however, is due to limits imposed by the present screen-printing process predominantly used for commercial cell fabrication. The penalty for the processing simplicity offered by this approach is a compromised cell design, since a heavily doped emitter layer appears unavoidable. Improved designs such as the buried-contact cell offer the seemingly contradictory advantages of both higher cell performance and lower overall manufacturing costs.
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It seems that eventually it should be feasible to produce low-cost commercial silicon cells of efficiency above 20% with such improved cell designs by paying attention to the passivation of both front and rear surfaces, by thinning the cells to reduce bulk recombination and by modifying the crystal growth processes to produce low-cost silicon customised for photovoltaics, particularly in its ability to withstand high-temperature processing without loss of electronic quality. An interesting result highlighted by Fig. 4.8 is the way that light trapping allows high performance, in principle, from silicon cells that are only 1 \im thick. This provides a justification for expecting very high performance, eventually, from the thin, supported silicon cells discussed in Section 4.7. To approach the limiting performance, the demands on bulk quality become less severe as the cell becomes thinner (Green, 1995). However, those upon light trapping and surface passivation become more severe. Various approaches have been suggested which have the potential, in principle, for exceeding even the efficiency limits of Fig. 4.8. These include the use of tandem cells, the use of high-energy photons to create more than one electron-hole pair (Werner et al, 1994), or the use of sub-band-gap photons in schemes such as incorporation of regions of lower band gap (Healy and Green, 1992), multiple quantum wells (Barnham and Duggan, 1990) or mid-gap impurity levels (Wolf, 1960). Experimentally, the tandem cell approach appears the most likely to have impact in the long term, once the problems with lattice-matching a top cell to silicon with a suitable band gap are overcome. Promising results have been demonstrated with aSi/c-Si tandem cells, although a better performing top cell will be required in the longer term to retain a performance advantage over that offered by the rear cell alone.
4.3 Substrate production 4.3.1 Standard process Not only is silicon solar cell technology capable of benefiting directly from the economies of scale of the silicon microelectronics industry, but also it is capable of using scrap material from this industry because the requirements for material quality in photovoltaics are less demanding than in the more general microelectronics field. Until the photovoltaic industry requires a larger volume of silicon than the microelectronics industry, it will be difficult for approaches customised for photovoltaics to compete with the costs of reject silicon from microelectronics. Accordingly, given the present size relativities, most silicon cells are made from
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standard silicon source material originally intended for microelectronics. Over the last ten years, the size relativities have not changed enormously, since both industries have been steadily growing. Explosive growth in the photovoltaics industry, such as that stimulated by urban residential rooftop applications of photovoltaics in 1997, will increasingly upset this delicate balance. For microelectronics, the starting point for producing the requisite high quality "semiconductor grade" silicon is a lower grade of silicon known as "metallurgical grade", produced by the reduction in an arc furnace of quartzite by carbon, the latter generally in the form of wood chips. This metallurgical grade silicon is of about 98% purity and is produced in large quantities for the steel and aluminium industries. A relatively small quantity is refined for microelectronics by conversion to a volatile intermediary that can be purified by fractional distillation. The purified intermediate compound is then decomposed to re-extract the silicon in a highly purified form. Generally the metallurgical grade silicon is converted by hydrochloric acid to trichlorosilane which is then purified to 99.9999999% (nine "nines") purity by fractional distillation. Silicon is then extracted from the trichlorosilane by reducing the latter by hydrogen at high temperature. In this process electrically heated silicon rods are exposed to a trichlorosilane/hydrogen mixture which reacts on the surface of the rods, depositing silicon onto them and hence building up their cross section. These rods grow with a fine-grain polycrystalline silicon microstructure. After the rod diameter has increased to the required size, the process is stopped and the rods mechanically broken into smaller chunks, which maintain "nine-nines" purity. These chunks then become the starting point for the growth of ingots of good crystalline quality. As previously mentioned, crystalline ingots are generally grown by the Czochralski process. In this process, the purified silicon chunks are melted in a quartz crucible along with small pieces of silicon heavily doped with boron. This produces a boron-doped melt into which a seed crystal is dipped and slowly withdrawn (Fig. 4.9a). For high quality crystal growth, good temperature uniformity and slow and steady growth are required. Typically ingots are grown to about 10-15 cm in diameter and 1-2 metres in length, weighing 50-100 kg. The crystallographic orientation of the seed is transferred to the grown crystal. Generally, for photovoltaics, the crystal is grown with a preferred orientation so that the wafers which are sliced from the crystal perpendicular to the growth axis have surfaces parallel to {100} crystallographic planes. Prior to slicing these ingots into wafers, the ingots are generally subject to a centreless grinding operation to remove the slight fluctuations in diameter along the length of the ingot that occur during crystal growth.
M. A. Green
Figure 4.9
(a) Czochralski (CZ) growth; (b) squared-off CZ ingot. Source: Green and Hansen (1998).
Alternatively, the ingots can be "squared-off by sawing off large sections parallel to the growth axis (Fig. 4.9b), giving "quasi-square" wafers after wafering. The large pieces of silicon sawn off in this approach are then generally recycled by re-melting as feedstock for the CZ growth.
Crystalline Silicon Solar Cells
Figure 4.10
167
(a) Inner diameter wafer sawing; (b) continuous wire sawing. After Dietl et al. (1981).
The technique traditionally used in microelectronics for sawing wafers from ingots has been based on the use of inner diameter saws. In this technique, shown Fig. 4.10a, thin metal sheet blades are given dimensional solidity by being held in tension around their outer perimeter. The cutting surface is a diamond-impregnated region surrounding a hole within the tensioned metal sheet. This technique gives excellent dimensional tolerance, although there are limitations arising from the thickness of the silicon wafers that is possible to produce while still maintaining high yield. Other limitations arise from the wastage of silicon as "kerf loss during cutting. Generally, about 10-15 wafers per centimetre of ingot length are achieved by this process. An alternative technique increasingly being used in photovoltaics is based on wire sawing (Fig. 4.10b). In this case, tensioned wire is used to guide an abrasive slurry through the ingot. Advantages are thinner wafers and less surface damage for these wafers as well as lower kerf or cutting loss, allowing the sawing of over 20 wafers per centimetre.
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In the 1970s and early 1980s, several other options for preparing silicon feedstock were investigated as part of a large US government PV program encouraged by the Carter administration (Christensen, 1985). A great diversity of alternative routes to producing pure silicon were investigated. These ranged from those involving radically different approaches to those exploring only minor changes from the sequence outlined above, such as the use of different compounds of silicon as the intermediate during the purification process. One such process, based on the use of silane as the intermediate (Christensen, 1985), is now being used commercially, although the product is used exclusively for the microelectronics industry. Parallel development has been conducted outside this program, notably in Germany (Aulich, 1996) and Japan. In Japan, Kawasaki Steel have been investigating an alternative route to preparing cheap silicon feedstock from metallurgical grade precursors and were scheduled to begin pilot production with this sequence in 1998 (Sakaguchi et al., 1997). To produce ingots from the pure silicon feedstock, a modification of the CZ process which produces "tricrystalline" silicon has also been used for photovoltaics (Endros et al, 1997). Wafers cut from the crystals have a different {111} equivalent orientation for each third of their surface, with the differently orientated regions separated by a twinning plane. Claimed advantages of higher growth rates and greater mechanical strength are probably not large enough to offset disadvantages of not being able to chemically texture such wafers and the poor electronic quality near the twinning planes. Another alternative to the standard Czochralski process for producing crystalline ingots is the floatzone (FZ) process. Although some studies have predicted superior economics when compared with the Czochralski process for cell production due to the elimination of consumables such as quartz crucibles, the FZ process, as commercially implemented, is capable of accepting feedstocks only in the form of high quality cylindrical rods. This makes it unsuitable for using low-cost off-grade material. However, the casting and directional solidification processes used to produce multicrystalline silicon are generally extremely tolerant of poor quality feedstock material. These techniques will be discussed in more detail in the following section.
4.3.2 Multicrystalline silicon ingots In 1998, about 30% of the world's photovoltaic production was based on multicrystalline silicon wafers. Several companies have developed commercial processes for producing the precursor multicrystalline silicon ingots (Ferrazza, 1996). Advantages over the Czochralski process are lower capital costs, higher throughput and a higher tolerance to poor feedstock quality.
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(b)
Figure 4.11 (a) Directional solidification of silicon within a mould; (b) sawing of large ingot into smaller sub-sections. Source: Green and Hansen (1998). The technique involves controllably solidifying molten silicon in a suitable
container to give silicon ingots with large columnar grains generally growing from the bottom of the crucible upwards (Fig. 4.1 la). Pioneers with this approach for modern photovoltaics in the mid-1970s were Wacker Chemitronic of Germany (Authier, 1978) and Solarex of the USA (Lindmayer, 1976). In the 1980s, other manufacturers including Eurosolare/Crystallox, Kyocera, Bayer, Crystal Systems and Sumitomo Sitex had developed processes capable of producing good quality multicrystalline material. Techniques differ between these manufacturers in the choice of crucible material, the method of loading the crucible with silicon and the method for controlling the cooling of the melt. A good summary can be found elsewhere
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(Ferrazza, 1996). The size of a nominally rectilinear ingot can be very large, up to 60 cm x 60 cm x 20 cm, and these ingots can weigh several hundred kilograms (Khattak and Schmid, 1997). The large ingots are sawn into smaller sections as shown in Fig. 4.11b, eventually to give wafers generally 10-15 cm along the sides. These smaller sections can be sawn by the standard inner-diameter or continuous wire sawing processes. The resulting multicrystalline wafers are capable of producing cells of about 80% of the performance of a monocrystalline cell fabricated on a CZ wafer. However, because of the higher packing density possible due to their square or rectangular geometry, this performance difference is largely masked at the module level with multicrystalline module performance lying in the range demonstrated by modules made from monocrystalline cells. An interesting variation on this approach is the continuous casting process such as developed by Sumitomo Sitex. In this case, electromagnetic fields are used to constrain the molten silicon to produce essentially a continuous ingot of multicrystalline silicon (Sarti et al., 1997).
4.3.3 Sheet and ribbon silicon Although there is the potential for substantial cost reductions in both the cost of preparing the silicon feedstock and in forming crystalline or multicrystalline ingots from it, one unavoidable cost with the silicon wafer approach is the cost of sawing the ingot into wafers. Several studies have suggested that the lower bound on this cost may be something of the order of US$0.20/watt (Christensen, 1985; Bruton et al, 1997). This has provided the rationale for investigating approaches that produce silicon directly in the form of self-supporting sheets without the need for sawing (Bergin, 1980; Shulz and Sirtl, 1984). Commercially, the most advanced sheet or ribbon approach is based on the edgedefined film-fed growth (EFG) technique of Fig. 4.12. As originally developed in the early 1970s, this involved the pulling of a thin sheet of silicon ribbon from a strip of molten silicon formed by capillary action at the top of a graphite dye (Fig. 4.12a). Substantially higher throughput was obtained with the more symmetrical configuration shown in Fig. 4.12b, where the ribbon is pulled in the form of a hollow nonagon. Individual wafers are then cut from the sides of the nonagon, normally by laser scribing wafers from each of the sides. The material produced is multicrystalline with elongated grains and of a similar quality to the standard directionally solidified multicrystalline material. Commercial cells made from EFG material have been available sporadically since the early 1980s with a large 25 MW/yr facility recently announced.
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iyciystalline ribbon
molten silicon macs by capilary action
carbcnde
A
A
/^L ;en silicon
(a)
(b)
Figure 4.12 (a) Edge-defined, film-fed growth (EFG) method; (b) growth of a nonagonal ribbon of silicon using the EFG method. Source: Green and Hansen (1998).
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An even older ribbon growth process is the dendritic web approach of Fig. 4.13 first described by Westinghouse in the 1960s. In this approach, close thermal control is used to cause two dendrites spaced several centimetres from each other to solidify first during the growth step. When these are drawn from the melt, a thin sheet of molten silicon is trapped between them. This quickly solidifies to form a ribbon. After a substantial research and demonstration program by Westinghouse in the 1970s and early 1980s, this approach is now under development by Ebara Solar (Narashima et ai, 1997). A somewhat related approach is the string ribbon approach. In this case, the molten silicon is trapped between two graphite strings that are drawn from the melt. This relaxes the requirement on thermal control, compared with the previous dendritic web approach. The string ribbon approach is under development by Evergreen Solar (Janoch etal, 1997'; Wallace etai, 1997). Another interesting approach that was developed in the 1980s relied on direct casting of silicon wafers using a centrifugal casting approach to overcome surface tension problems within the closely spaced faces of a horizontally aligned graphite mould (Maeda and Hide, 1987). Despite initially promising results, this approach appears to be no longer under active development. A compact but thorough review of most of the above ribbon processes including references is given elsewhere (Shulz and Sirtl, 1984). A thorough bibliography of work prior to 1980 has also been published (Bergin, 1980). Somewhat related to the above ribbon approaches are other sheet approaches which produce silicon films on substrates from which they are subsequently detached. The most developed version of this technology is the VEST technology developed by Mitsubishi (Hamamoto et ai, 1997). In this approach, a potentially reusable silicon substrate is oxidised, then vias are etched in the oxide and then a silicon film is deposited on top of the oxide. This film is subsequently laser-recrystallised. The thickness of this seeding layer is then increased by the subsequent high-temperature epitaxial growth of the silicon layer. After reaching a target thickness of 50-80 |im, the film is detached from the substrate which is then potentially reusable. Promising efficiencies over 16% have been obtained from this approach for substrates that are only 60-70 |xm in thickness, but are still self-supporting. Other researchers have suggested similar techniques to produce even thinner films. Some have suggested the use of a silicon wafer treated to produce a layer of porous silicon along the surface as the source of the crystallographic template for the subsequent growth of a silicon layer, which is then detached (Wenham and Green, 1995; Brendel, 1997). If this detached layer is too thin to be self-supporting, it could be transferred to structurally strong components such as the glass layer in a structural superstrate design. Another
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variant involves forming vias through the oxide to a {100) orientated substrate and the subsequent use of liquid phase epitaxy to grow a mesh of silicon on the substrate which again is detached after processing (Weber et al., 1997). In this case, layers of about 70 |Xm thickness are envisaged, although cell processing on the unusual geometries that result would pose obvious challenges. silicon dendrites or carbon string
Figure 4.13 Schematic illustrating either the dendritic web growth process or the string ribbon approach. Source: Green and Hansen (1998).
4.4 Cell processing 4.4.1 Standard process In the previous section, standard and non-standard ways of forming the silicon substrate were described. The major commercial substrates are those formed by the wafering of monocrystalline and multicrystalline ingots, with a much smaller quantity of EFG ribbon substrates produced commercially. Since monocrystalline silicon wafers are the norm, processing for these will be described first with the processing of other types treated as variations on the monocrystalline processing approach.
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At present, no photovoltaic manufacturer prepares polysilicon source material. Manufacturers generally purchase off-specification material from the microelectronics industry or, alternatively, bypass the crystal growth step by purchasing silicon wafers. Processing starts by chemically cleaning the starting wafers and etching their surfaces, generally in a sodium hydroxide etchant, to remove saw damage from the wafers. For monocrystalline wafers, the next step is crystallographic texturing, again using sodium hydroxide but in a more dilute solution. The composition and temperature of this solution determines the texturing quality (King and Buck, 1991), including the size of the pyramidal features resulting from the texturing and the percentage of wafer surface area successfully covered by such features. Texturing is a demanding step in cell processing and the quality of texturing varies enormously between different manufacturers. Cell performance, however, is not critically dependent on texturing quality. The next major stage of processing is the diffusion of the cell junction. This is generally achieved by spraying or spinning a compound containing phosphorus onto the cell surface, followed by heating at high temperature to allow phosphorus dopant atoms to seep into the cell surface by thermal diffusion. Typically, the depth of diffusion is less than 1 jum. The same thermal diffusion process is widely used in microelectronics but processing for photovoltaics generally involves cruder equipment and techniques, since the aim is to produce cells at the lowest possible cost without unduly sacrificing cell performance. Although the diffusion is required over only one surface of the wafer and processing techniques are generally chosen to encourage such a result, phosphorus invariably seeps into both wafer surfaces to some extent. To break the connection between the phosphorus diffused into front and rear surfaces, an 'edge junction isolation' step is required to remove the thin phosphorus layer around the edge of the wafer. This isolation is often achieved by 'coin stacking' the wafers so that only their edges are exposed and then placing the stack in a plasma etcher to remove a small section of silicon from the wafer edge, hence breaking the conductive link between front and rear surfaces. The screen printing of metal contacts onto the front and rear surfaces completes cell processing. Silver paste consisting of a suspension of fine particles of silver and glass frit in an organic medium together with appropriate binders (Hoernstra et al, 1997) is squeezed through a patterned screening mesh onto the cell surface. After application, the paste is dried at low temperature and then fired at a higher temperature to drive off the remaining organics and to allow the silver regions to coalesce. The glass frit is important in promoting adhesion to the silicon substrate. Often pastes are doped with phosphorus to help prevent the screened contact from penetrating the thin phosphorus skin that it is intended to contact.
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The paste for the top surface is printed in a characteristic finger pattern to minimise the resistive losses in the cell while allowing as much light as possible into it. Sometimes the rear contact is patterned, not to allow light into the cell, but merely to reduce the amount of paste required and hence reduce the cost of this processing step. Sometimes small quantities of aluminium are added to the paste used on the rear surface to give a heavily doped p-type 'back-surface field' region underlying the rear metal contact or, alternatively, separate screening and firing of an Al paste over the entire rear surface is used to more fully optimise this feature (Nijs et ah, 1996). This screen-printing method for applying the metal contact was borrowed in the early 1970s from the hybrid microelectronics industry (Ralph, 1975). This ensured the ready availability of both screen-printing equipment and the paste-firing furnaces suited to this application. Labour and equipment costs associated with this step tend to be very low. However, the pastes themselves can be expensive and an even larger cost penalty is paid for the simplicity of this approach by the forfeiture of the inherently available power output from the silicon wafer, as discussed later. A quarter wave antireflection coating can be applied to the cell at this stage. Generally, titanium dioxide is used as the antireflection coating material due to the simplicity of depositing this compound and its almost ideal refractive index for this application. Some manufacturers deposit the antireflection coating before the metal paste-firing step and fire the paste through this coating. The cells are then ready for testing under a solar simulator. Cells are usually graded based on their short-circuit current or current at a nominal operating voltage, e.g., 450 mV. Generally, cells are sorted into 5% performance bins. This sorting is required to reduce the amount of mismatch within the completed module. To a large extent, the output current of the module is determined by that of the worst cell in the module, resulting in large power losses within mismatched modules. Even worse, low output cells can become reverse-biased under some modes of module operation and destroy the module by localised over-heating. Very similar processing is applied to multicrystalline silicon wafers. In this case, most of the grains will have incorrect orientation for effective texturing by anisotropic etching, although such texturing is sometimes used for the relatively small benefit that can be obtained. However, a quarter-wave interference antireflection coating has been mandatory for good performance from multicrystalline materials. One disadvantage of anisotropic texturing of these materials is that different grains etch at different rates, giving a very uneven surface due to steps at grain boundaries. This can pose hazards for continuity of the subsequently screened metal lines. Accordingly, some manufacturers prefer to etch multicrystalline silicon with an isotropic etch to maintain a smooth surface.
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The rippled surface that is a natural consequence of the EFG ribbon growth process poses similar continuity hazards for screen-printed metallisation. To accommodate this rough surface, a novel technique has been developed whereby the metal paste is squeezed through an orifice and then drops to the cell surface, much the same as squeezing toothpaste from its tube onto a toothbrush.
4.4.2 Limitations of the screen-printing approach There are four main limitations arising from the screen-printing approach to applying the front contact which cause the simplicity in processing to be at the expense of cell performance. As noted above, performance can be reduced well below that inherently achievable. One limitation is that the phosphorus diffusion has to be heavier than desirable purely from the point of view of cell performance, to allow reliable low resistance contact between the screen-printed metal and the diffusion. Typically, sheet resistivities of this diffusion less than 60 ohms/square are required (Green, 1995; De Clercq et al., 1997). Such diffusions generally reduce the quality of the silicon in the region near the cell surface where blue wavelengths in sunlight are strongly absorbed. A screen-printed cell does not therefore respond well to blue wavelengths in sunlight, wasting at least 10% of the possible current output through this deficiency. The remaining three limitations relate to the geometry and conductivity of the metal lines it is possible to produce by the standard screen-printing process. Since the paste thickness shrinks to about one-third of its original thickness during firing (silver constitutes only 25-30% by volume of the original paste, with up to 5% glass frit), it is very difficult to achieve metal lines with high aspect ratio (height/width). High aspect ratios are the key to designing metal grids which result in low overall losses (Serreze, 1978). The nature of the screening meshes that have sufficient ruggedness for use in commercial production means it is very difficult to achieve fine lines using screen printing in production. Typically, 150 \im is the minimum width that can be cost-effectively achieved. This limitation means that there will generally be high shading losses in screen-printed cells due to the large percentage (10-15%) coverage of the front surface by the metal. Additionally, the relatively poor conductivity of the fired silver paste—about 2 times lower than that of pure silver for large features such as busbars but up to 6 times lower for finer features such as fingers (de Moor et al, 1997)—fundamentally limits ability to optimise metal contact design, in much the same way as does the low aspect ratio previously discussed. Recent work describes improved laboratory cell performance based on experimental screens formed by cutting patterns in thin metal sheets using a laser (Nijs et al.,
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1996). This approach is reported to allow reduced linewidths, although the authors may be overly optimistic about the potential in a production setting (de Moor et al., 1997). With a standard sequence under laboratory conditions, cell efficiency is limited to less than 15% even with these improved linewidths (Nijs et al, 1996). In a more complex sequence involving inherently costly steps such as the deposition of a plasma nitride antireflection coating and a complicated rear Al screening and removal step, efficiency approaching 17% has been confirmed. Some caution is required in accepting the authors' enthusiasm as to how transferable these sequences may be to a production setting. The same authors (Nijs et al, 1996) also analyse cost and performance relative to established commercial sequences such as the buried-contact sequence described below but these analyses appear to be skewed by overly optimistic assumptions about screen-printing metallisation parameters.
4.4.3 Buried-contact solar cells As mentioned in Section 4.2, buried-contact cells were developed as a way of incorporating some of the efficiency improvements demonstrated in the mid-1980s into low-cost commercial cell production sequences. This aim has been successfully realised with recent independent costing studies showing that the buried-contact cell not only produces the highest commercial silicon cell efficiency, but also the lowest cost approach for fabricating commercial silicon cells, of any of those at any reasonable state of development (Bruton et al, 1997). The processing of buried-contact cells begins similarly to that outlined for screenprinted cells. In the commercially most successful buried-contact sequence (Jordan and Nagle, 1994), the incoming wafers are cleaned and textured as with conventional wafers and then diffused. A silicon nitride antireflection layer is grown by chemical vapour deposition over the entire top surface of the cell. Grooves are next formed in this surface through the antireflection coating and prior diffusion. A standard neodynium YAG laser readily produces grooves of about 20 /xm width. The depth depends on the laser power, but desirably lies in the range 20-60 /m\. After etching to clean the grooves, a second diffusion, which is restricted by the nitride to the regions that have been laser-grooved, is performed. Aluminium is then evaporated onto the rear of the wafer and sintered. Electrolessly plated nickel followed by similarly applied copper and silver is then deposited. Again, the insulating nitride restricts the plating to the grooved areas and to the rear of the wafer which has already been metallised by aluminium.
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When applied to the same commercial silicon wafers as used in the screen-printing process, cell efficiencies in the 17-18% range are obtained. Figure 4.14 compares the performance of a screen-printed and a buried-contact cell fabricated on the same quality starting material (BP Solar, 1991). A performance advantage of 20-30% is demonstrated by the buried-contact approach, largely as a result of improved shortcircuit current density but with other significant contributions coming from improved fill factor and open-circuit voltage. In addition to this performance advantage under standard test conditions, field studies have shown that buried-contact cells give up to 15% more energy per rated watt as a result of an even larger performance margin at low light intensities and under the bluer light associated with cloudy conditions (Mason etal., 1997). 4
V
^ \
tn
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o
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^ ^ ^ » Buried Conlacl _ _ _ . Screen-Printed
\ \ \ \ \ \ \ \ \ \ \ \ \
0 . 0.0
0.2
0.4
0.6
Voltage, Volts
Figure 4.14 Output characteristics of buried-contact cells compared with screen-printed cells. After BP Solar (1991).
4.5 Cell costs There have been many studies of the costs of the different stages of silicon cell production using different basic assumptions, particularly in relation to the production volume assumed in the study and the cost of polysilicon source material. Probably the most recent and most authoritative is one conducted under the auspices of the European Union Photovoltaic Program (Bruton et al., 1997). This study involved representatives of seven major European photovoltaic manufacturers and research laboratories, and is valuable for the breadth of representation and the diversity of approaches explored. Since the groups involved are known for their strong views on the virtues of the different sequences studied, the study also involves an undoubtedly
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hard-won political and technical consensus of those intimately involved with these issues. The key assumptions of the study were manufacturing volume of 500 MWp of solar cells per annum and the availability of silicon source material at US$25 per kg. A number of different technologies were compared. Important comparisons were between EFG ribbon, multicrystalline and crystalline wafer technologies, between screen-printed, buried-contact, metal-insulator-semiconductor and PERL cell processing sequences, in various combinations of wafers and processing, and between two different module encapsulation approaches. However, the results from all possible combinations were not studied (or, at least, not published), but only the seven selected combinations shown in Table 4.1. Table 4.1 Summary of published results of a European Commission study of manufacturing costs for 500 MWp per year factory ID
Wafer8
Process
Cell efficiency* study (present)
#1 #2 #3 #4 #5 #6 #7
DS CZ CZ CZ CZ CZ EFG
SP SP LGBC MIS/A MIS/B PERL SP
15% (12.6-14.8%) 16% (13.9-15.6%) 18% (16.5-17.5%) 17% (N/A) 17% (12.2%) 20% (N/A) 14.4% (12%)
Estimated cost (ECU/Wp)' 0.91 1.25 1.15 1.28 1.34 1.78 0.71
Key variable Wafer Wafer/process Process Process/module Module Process Wafer
°DS: directional solidification; CZ: Czochralski growth; EFG: edge-defined film-fed growth; SP: screenprinted; LGBC: laser grooved, buried-contact; MIS/A: metal-insulator-semiconductor; MIS/B: as for MIS/A but with resin-fill packaging; PERL: passivated emitter, rear locally diffused (less appropriate acronym LBSF used in study). 'The cell efficiencies assumed in the study in some cases differ appreciably from present average production values, deduced by the present author from manufacturers' data sheets or the results from large field installations. C1ECU « US$1.2. Source: Bruton etal., 1997.
Several key results can be deduced from this Table. When comparing screenprinted cells on ribbon (EFG), multicrystalline (DS) and monocrystalline (CZ) wafers, the ribbon produces the lowest cost of 0.71 ECU/WP followed by the multicrystalline wafers at ECU0.91/Wp and the monocrystalline wafers at ECU1.25/Wp. The advantage of the ribbon stems almost entirely from the fact that it does not need to be sawn, as previously mentioned.
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Comparing between the different processing approaches on single crystal wafers, the cheapest is the buried-contact at 1.15 ECU/Wp, followed by the screen-printed at 1.25 ECUAVp, followed by the metal-insulator-semiconductor at 1.28 ECUAVp, followed by the PERL at 1.78 ECUAVp. The buried-contact achieves its cost advantage over the screen-printing approach by virtue of the increased efficiency giving more power per unit processing area. Such advantages would transfer to the less expensive substrate approaches studied, suggesting the best possible combination of wafer, process and moduling approach would result in manufacturing costs well below 0.70 ECUAVp. In the module area, the standard laminated module approach is calculated to be slightly cheaper than an alternative resin-fill approach. Compared to the predictions of this study, present manufacturers fabricate screen-printed monocrystalline and multicrystalline cells and buried-contact monocrystalline cells in roughly 10-20 MWp per year production capacities with large-volume selling prices of modules in 1999 of about US$4AVp (a similar amount in ECUAVp). Present encapsulated cell efficiencies, deduced by the present author mainly from manufacturers' data sheets or from recent field performance, are also shown in Table 4.1, indicating the various levels of extrapolation in cell performance assumed for the different cell technologies in the study.
4.6 Opportunities for improvement 4.6.1 Commercial cells The large differential between the efficiencies of a typical screen-printed commercial cell (15%) and the best laboratory silicon cell (24%) shows the enormous potential for further efficiency improvement in commercial devices. Part of this potential has been recently realised with the commercialisation of the buried-contact cell with cell efficiencies in the 17-18% range obtained in production. There remains scope for a further substantial performance improvement. One reason for the difference between laboratory and the best commercial cells is the difference between the CZ wafers used in commercial production and the FZ wafers used for the best laboratory cells. CZ grown wafers are invariably contaminated with oxygen and carbon during growth to a much higher level than FZ wafers, due to use of quartz crucibles and graphite heaters in the CZ process. These impurities give rise to a much more subtle dependence on processing conditions, in the CZ material, of an important silicon material property for producing high performance cells, the minority carrier diffusion length. For example, applying the
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high temperature processing associated with PERL type sequences to CZ silicon gives a large spread in results depending on the supplier of CZ material and hence most probably on the oxygen and carbon content (Wettling et al, 1996). Additionally, the quality of CZ material as compared with FZ falls off quite rapidly as the boron content is increased, possibly because boron/oxygen complexes form within the material. This reduces flexibility in cell design since it eliminates the possibility of using low resistivity CZ substrates. In microelectronics, high oxygen content resulting from the CZ process is regarded as an asset. Oxygen increases the mechanical strength of the wafers as well as allowing gettering of surface regions, where the operational microelectronic devices are confined, by the precipitation of oxygen defects away from the wafer surfaces. A simple option for improving the suitability of CZ material for photovoltaics may be merely to change the crucible material used in the CZ process. For example, experiments have been conducted with silicon nitride coated crucibles as a way of reducing oxygen content within the material while increasing that of nitrogen (Shimura, 1989). However, relatively little exploration of such possibilities has been undertaken, probably because the benefits would not, in any case, be seen with the standard screen-printing approach. More sophisticated cell processing sequences would be required (such as offered by the buried-contact approach) to obtain the full benefits from such improved temperature tolerance. As opposed to the case of CZ silicon, much experimentation has been conducted with directionally solidified multicrystalline silicon. It may well be that multicrystalline silicon eventually exceeds the standard CZ material in its performance potential for photovoltaics due to the eventually better high temperature tolerance of the material. For example, the recent demonstration of 19.8% efficiency upon multicrystalline silicon (Zhao et al, 1998) puts the performance of this material right in the middle of the performance range observed with a similar sequence using CZ wafers (Wettling et al, 1996). The trend towards thinner cells that arises primarily from efforts to reduce the costs of the silicon wafer may actually help to improve the cell efficiency. Thin wafers give the opportunity for back-surface fields or other rear-surface passivation approaches to be used to improve cell performance, primarily through increased voltage output. Again, the buried-contact processing sequence would be capable of realising such potential performance advantages due to its high open-circuit potential, which is largely untapped in wafers of standard thickness. Bifacial cell designs offer another way of effectively improving cell efficiency. Recent studies suggest that module output can be improved by approximately 20% in standard open back configuration without any special effort if use can be made of light scattered onto the rear of the module (Chieng and Green, 1993). However, as cells are
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now being increasingly used in the residential market where rear illumination of the module is unlikely, only part of the market would benefit from this improvement. Japanese groups in particular are showing increasing interest in amorphous and microcrystalline silicon-based surface passivations as demonstrated by the 'HIT' cell structure (Tanaka, et al., 1993; Sawada et al., 1994), as shown in Fig. 4.15. This cell structure has demonstrated an open-circuit voltage capability similar to that of the buried-contact approach. However, it is inherently incapable of giving a similar current output due to light absorption in the 'transparent' conducting oxide layer required to give lateral conductivity to the amorphous silicon emitter as well as the less than 100% collection efficiency from the latter region.
Figure 4.15 HIT (Heterojunction with Inlrinsic Thin Layer) cell on textured crystalline silicon substrate. After Green and Hansen (1998).
Given better feedstock material or cells below 150 u.m in thickness, improved rearsurface passivation approaches such as demonstrated by the PERC and PERL cells of Fig. 4.7 could become appropriate. A promising start has been made with the double sided buried-contact cell which applies high quality oxide passivation to both top and rear surfaces (Green, 1995). Other options may be rear passivation layers based on amorphous, microcrystalline or polycrystalline silicon (Okamoto et al., 1997), or on specially deposited silicon nitride (Aberle et al., 1997).
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4.6.2 Laboratory cells For laboratory cells, an appropriate reference point for performance is the AM 1.5 detailed-balance efficiency limit of 33% for material of the band gap of silicon. However, it has been shown that another intrinsic process, Auger recombination, provides a more severe fundamental limit for silicon than the radiative recombination processes assumed in the detailed-balance limit (Green, 1984; Tiedje et al., 1984). Unlike the detailed-balance limit, the Auger limit for a silicon cell is dependent on the cell thickness, as shown in Fig. 4.8 (Green, 1995). This difference arises because the detailed-balance calculation includes photon recycling which makes nett recombination rates independent of cell volume. With lambertian light trapping, the optimum cell performance in the Auger limit is 29% for a cell of about 80 |im thickness. Such a cell would have an open-circuit voltage of about 760 mV, higher than the highest value ever demonstrated for silicon of 720 mV. The voltages of these best performing experimental devices demonstrating 720 mV were limited by surface recombination rather than bulk recombination. Figure 4.16 shows the results of efficiency calculations with various amounts of surface recombination added, characterised in terms of the open-circuit voltage limit that this recombination would impose if it were the only recombination process in the cell. Increasing surface recombination reduces the value of the obtainable efficiency as well as pushing the optimum cell thickness to larger values.
1
10
100 Thickness (um)
1000
10000
Figure 4.16 Limiting efficiency of silicon cell with lambertian light trapping as a function of surface recombination velocity, characterised in terms of the voltage limit imposed by this recombination. Source: Green (1999).
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Figure 4.16 makes it clear that, to improve silicon cell efficiency much beyond 26%, improved surface passivation (both surfaces) is essential beyond the 720 mV capability presently demonstrated. If this improved quality cannot be achieved, an alternative possibility is to maintain the same quality of surface passivation as presently demonstrated and reduce the effective threshold energy of the photovoltaic process within the bulk regions of the cell. Techniques such as alloying sections of the cell with germanium to reduce its band gap (Healy and Green, 1992) or doping with a photoactive impurity to give impurity photovoltaic effects in the bulk region (Keevers and Green, 1994) have been suggested and shown, in some cases, to have theoretical advantages. However, no experimental performance advantage has been demonstrated by either technique to date. A well-proven approach for improving solar cell efficiency is the use of the tandem cell structure. Efforts to produce tandem cells with silicon have not yet given good results due to the inability to find a suitable wide band-gap partner that is latticematched to silicon (Corkish, 1991). For low quality cells, amorphous silicon/ polycrystalline silicon tandems have given improved results over either cell type alone (Yamamoto et al, 1997; Shah et al, 1997). As the quality of the polycrystalline lower cell in this combination improves, however, it is doubted that this situation will continue (see Section 4.7). A higher performance top cell will eventually be required, which could be provided by a crystalline compound cell if difficulties with lattice mismatch to the silicon substrate can be overcome. Fuller use of the available photon energy by incorporating efficient impact ionisation process has been suggested as a way of boosting cell performance by generating more than one electron-hole pair from one high energy photon (Kolodinski et al, 1993; Werner et al, 1994). However, such processes are quite weak in silicon with increases in current density limited to less than 0.1mA cm-2 (Green, 1987). Manipulating the details of the band gap of silicon, for example by alloying with germanium; may improve prospects. However, since the high-energy photons of most interest for this process are absorbed very close to the surface of silicon, such approaches may interfere with the ability to obtain well-passivated surfaces. Limited experimental work with shallow germanium implants has not given any nett performance benefit (Keevers et al, 1996). More advanced concepts such as the multiple quantum wells discussed in Ch. 10 might also be appropriate (Barnham and Duggan, 1990). A recent area of interest has been the use of ZnS/Si multiple quantum wells. Not only is there a good lattice match between ZnS and Si, but recent studies suggest is may be easier to obtain direct bandgap-like properties from such multiple quantum wells than the Si/Ge alternative which has been the focus of most past study. There is still some question as to whether or not
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a multiple quantum well device offers a performance advantage above the detailedbalance limit (Araujo et al., 1994), but this approach almost certainly offers performance advantage above the Auger limit for silicon, in principle.
4.7 Silicon-supported thin films There has long been an interest in transferring the strengths demonstrated by crystalline silicon wafer technology to cells based on silicon thin films. Historically, work can be divided into two phases: (i) that before the 1980s when the benefits of light trapping were not fully appreciated; and (ii) that after the mid-1980s where light trapping has been regarded as an essential feature of any silicon thin-film cell design. The early work laboured under what is now known to be a misconception that quite thick layers (>20 |xm) of silicon would be required to give reasonable performance due to silicon's poor absorption characteristics arising from its indirect band gap (see Fig. 4.8). However, since light trapping can increase the effective optical thickness of a silicon cell by 10-50 times, this means that layers of only 1 jjm or so thickness are still inherently capable of producing similar performance to much thicker layers. Approaches to producing supported silicon films can be divided into hightemperature and low-temperature strategies depending on whether or not the substrate is heated to high temperature during the silicon deposition or subsequent processing.
4.7.1 High-temperature supported films One of the earliest silicon supported film approaches was the 'silicon-on-ceramic' approach (Christensen, 1985) whereby a ribbon of ceramic material was dipped into a molten silicon bath or pulled across the surface of a silicon melt so that one side was coated with silicon. This produced silicon of modest quality and the approach suffered from difficulties in making rear contact to the cells, since the ceramics used were insulating. This approach was discontinued in the early 1980s. Early work by Ting and Shirley Chu involved the deposition of silicon onto a range of foreign substrates by high temperature chemical vapour deposition (Chu, 1977). Operational cells were obtained using a number of substrate materials. The best results were obtained by depositing the silicon layers on multicrystalline silicon substrates prepared from metallurgical grade silicon. Given the previous studies that have shown that sawing of wafers represents one of the major costs in any wafer-type approach, the overall economics of such an approach using a wafer substrate are questionable, regardless of
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the quality of this substrate. Other early work involved the deposition of silicon onto ceramic substrates by high temperature CVD and the subsequent increase in crystal size by melting and directional solidification (Minagawa et al., 1976). In the post-1980 era, efforts in silicon supported film were revitalised by the US company AstroPower (Barnett et al, 1985). In this company's approach, silicon is deposited onto a conducting ceramic substrate by a technique which has not been disclosed but which has been reported to involve the deposition of silicon from solution in molten metal as one step (Barnett et al, 1989). The resulting ceramicbased wafers can then be processed in the same way as a multicrystalline silicon wafer. Efficiency up to 16.6% has been confirmed for films that are apparently in the 50-100 [im thickness range (Bai et al, 1997). Efforts are underway to include more effective light trapping into these devices and to produce an integrated module upon insulating ceramic (Ford et al., 1997). More recently, promising laboratory results have also been obtained by a German collaborative effort using much thinner films. These films were formed by first depositing and recrystallising a thin silicon layer upon a silicon carbide coated graphite substrate followed by the deposition of an epitaxial layer of silicon of about 30 ixm thickness upon this recrystallised layer. Cell efficiency above 11 % has been confirmed for a cell of this 30 ^m thickness (Ltidemann et al, 1997).
4.7.2 Low-temperature approaches One of the first papers addressing silicon photovoltaic thin films described the deposition of silicon by low temperature chemical vapour deposition onto an aluminium substrate (Fang et al., 1974). A surprisingly large grain size was obtained, attributed to eutectic reaction with the aluminium. In more recent times, laser crystallisation has been used in the active matrix liquid crystal display industry to produce relatively small-grain polycrystalline silicon films from amorphous silicon precursors, generally deposited by low-pressure chemical vapour deposition. Grain sizes are typically less than a micron or so, so that these films would probably not be suitable for photovoltaics. Also, thicknesses for the active matrix display industry tend to be only about 100 nm, which would be too thin for photovoltaic application. From 1989, a group at Sanyo explored the use of low-temperature solid-phase crystallisation of amorphous silicon as a technique for producing thin-film polycrystalline silicon cells. Good results have been obtained with 9.2% (unconfirmed) efficiency reported in 1995 (Baba et al., 1995). These cells were approximately 1 cm2 in area deposited onto a textured metallic substrate and heated at
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approximately 600 C for many hours to enable the crystallisation of the originally amorphous films. After crystallisation, the HIT structure developed by Sanyo is used to complete the cell processing at low temperature. Two groups have reported good results using silicon thin films deposited directly in microcrystalline form onto glass substrates. The University of Neuchatel has reported unconfirmed efficiencies of about 7% for 3 /zm thick microcrystalline cells deposited at 500 C (Shah et al., 1997). The cell has a p-i-n structure with the intrinsic region comprising most of the device thickness. The cell is designed for this intrinsic region to be depleted during normal device operation to create a high electric field to aid carrier collection, as with a standard amorphous silicon cell. Finally, Kaneka Corporation (Yamamoto et al., 1997) has reported efficiencies over 10% with a similar device structure, shown in Fig. 4.17. Nearly the same efficiency was obtained when the total device thickness was varied over the 1.5-3.5 /urn range. Both the above groups have reported even higher efficiencies when amorphous silicon cells are used in a tandem configuration on top of the microcrystalline device. Given the relatively small amount of effort so far dedicated to this area, these results are extremely encouraging, and show the enormous potential of such low temperature approaches.
/ poly-S[
Figure 4.17 Structure of 9.4% efficient thin-film microcrystalline solar cell developed by Kaneka. Cell thickness is typically 1-3 //m. After Yamamoto el al. (1997).
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4.7.3 Multilayer solar cells The parallel multilayer solar cell shown in Fig. 4.18 provides an effective cell design when dealing with low quality silicon such as obtained by low temperature approaches (Green and Wenham, 1994). This cell differs from a tandem cell because all junctions are connected in parallel. The active region of any cell is the depletion region straddling the metallurgical junction and the region within a diffusion length on either side of this depletion region. The challenge in producing a thin supported silicon device of high performance is therefore in having material quality sufficiently good for this active volume to be wide enough to result in a large amount of current collection. In the microcrystailine work previously reported, attempts have been made to enlarge this active region by expanding the junction region by making this region as lightly doped as possible. The multilayer approach provides an alternative (or complementary) way of achieving the same result. By having multiple p-n junctions dispersed throughout the material, it is possible to make the whole volume of material electronically active regardless of material quality. The approach is particularly appropriate when the parallel layers are very heavily doped allowing unique thin-film cell and module designs where the lateral conductivities of the doped layers are sufficiently high to allow lateral current flow without appreciable resistance loss. This removes the need for transparent conducting oxides used in other thin-film technologies to provide this lateral conductance.
Figure 4.18 Parallel multilayer cell schematic. The red and while layers correspond to different doping polarities. Each layer is thinner than the minority carrier collection distance. Source: Green and Hansen (1998).
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Figure 4.19 Fabrication of UNSW multilayer cells: 1. Glass superstratc; 2. Multilayer deposition; 3. First polarity groove; 4. Second polarity groove; 5. Metallisation. The cell is designed to be illuminated from the glass side (the underside in this schematic) although bifacial operation is feasible. Opposite polarity regions in adjacent cells are connected, providing automatic series connection within the module. Source; Green and Hansen (1998).
At UNSW, the parallel muitijunction approach has been combined with the buriedcontact approach to produce the device fabrication sequence shown in Fig. 4.19. After deposition of a multilayer stack on a low temperature substrate such as glass, laser grooving and groove doping of one polarity is applied to connect all the layers of this polarity together in parallel. A second laser grooving and doping step involving the other polarity follows. By aligning to the first step, series interconnection of the cells is also achieved in a very elegant process. Pacific Solar in Sydney is working on commercialising this process, although few details have yet been published (Pacific Solar, 1997).
4.8 Summary Although crystalline silicon devices have dominated the commercial marketplace for photovoltaics for more than two decades, there still remains scope for considerable improvement in both the performance and cost of these cells. Recent studies suggest that manufacturing costs well below US$1 AVp are obtainable in manufacturing volumes of 500 MWp per year, without major changes in present processing sequences. This suggests module costs will steadily decrease from present values of about US$4/Wp as manufacturing volumes continue to increase. The average energy
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conversion efficiency of product sold should also increase due largely to the increasing market share of high efficiency approaches, particularly the buried-contact cell approach. The trend towards thinner silicon wafers to decrease wafer cost is compatible with ongoing increases in cell efficiency provided cell structures as effective as the buried-contact approach are adopted and improved methods are demonstrated in production for passivating the rear surface of the cell. Substrates with more consistent high temperature performance than standard CZ grown silicon may be required to allow the full performance potential of the silicon wafer approach to be obtained. Particularly promising progress has been made in this area with multicrystalline silicon over recent years. This enormous potential for both performance and cost reduction will make these bulk silicon approaches an increasingly challenging target for the thin-film approaches currently under development. In this context, excellent recent progress has been made with supported silicon film. Films processed at low temperature on substrates such as glass have made exceptional gains in the laboratory over the last 2-3 years and offer great promise for stable low cost thin-film cell technology for the future. Innovative cell design such as the parallel multilayer cell will allow the particular properties of thin-film silicon to be used to their full advantage.
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Keevers M. J., Zhang G. C , Saris F. W., Zhao J. and Green M. A. (1995), 'Screening of optical dopants in silicon solar cells for improved infrared response', Proc. 13th. European Photovoltaic Solar Energy Conf., Nice, H. S. Stephens & Associates, Bedford, 1215-1218. Khattak C. P. and Schmid F. (1997), 'Growth and characterization of 200 kg multicrystalline silicon ingots by HEM', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 111-114. King D. L. and Buck E. M. (1991), 'Experimental optimization of an anisotropic etching process for random texturization of silicon solar cells', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, SOSSOS. Kingsbury E. F. and Ohl R. S. (1952), 'Photoelectric properties of ionically bombarded silicon', Bell Syst. Tech. J. 31, 802-815. Knobloch J., Glunz S. W., Biro D., Warta W., Schaffer E. and Wettling W. (1996) 'Solar cells with efficiencies above 21% processed from Czochralski grown silicon', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 405^108. Kolodinski S., Werner J. H., Wittchen T. and Queisser H. J. (1993), 'Quantum efficiencies exceeding unity due to impact ionization in silicon solar cells', Appl. Phys. Lett. 63, 2405-2407. Lew Yan Voon L. C., Ram-Mohan L. R. and Soref R. A. (1997), 'Electronic and optical properties of (001) Si/ZnS heterostructures', Appl. Phys. Lett. 70, 1837— 1839. Lindmayer J. and Allison J. (1973), 'The violet cell: an improved silicon solar cell', COMSAT Tech. Rev. 3, 1-22. Lindmayer J. (1976), 'Semi-crystalline silicon solar cells', Conf. Record 12th. IEEE Photovoltaic Specialists Conf, Baton Rouge, IEEE Press, Piscataway, 82-85. Liidermann, R., Schaefer S., Schiile C. and Hebling C. (1997), 'Dry processing of mcsilicon thin-film solar cells on foreign substrates leading to 11% efficiency', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 159-162. Mason N. B., Bruton T. M. and Heasman K. C. (1997), 'Factors which maximise the kWh/kWp performance of PV installations in northern Europe', Proc. 14th. European Photovoltaic Solar Energy Conf, Barcelona, H. S. Stephens & Associates, Bedford, 2021-2024. Maeda Y. and Hide I. (1987), 'Solar cells using spinning Si polycrystals', Tech. Digest, 3rd. Int. Photovoltaic Sci. Eng. Conf, 87-92.
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CHAPTER 5
AMORPHOUS SILICON SOLAR CELLS CHRISTOPHER R. WRONSKI Centerfor Thin Film Devices, The Pennsylvania State University, University Park, PA 16802 Crwece @ engr.psu. edu and DAVID E. CARLSON BP Solarex, 3601 Lagrange Parkway, Toano, VA 23168 [email protected]
One advantage of being disorderly is that one is constantly making exciting discoveries. A. A. Milne, Winnie-The-Pooh, 1926.
5.1 Introduction In the last few years significant progress has been made in improving the efficiencies of amorphous silicon (a-Si)-based solar cells and in the scale of production of a-Si PV modules, which is currently about 30 peak megawatts (MWP) per year. These advances, together with the already established large-scale mass production of liquid crystal displays based on hydrogenated amorphous silicon (a-Si:H) thin-film transistors, indicate a coming of age for amorphous silicon technology. The first small-area amorphous silicon solar cells were fabricated with initial efficiencies of 12% (Carlson and Wronski, 1976). Today one square foot panels are being fabricated with stabilised efficiencies greater than 10% and modules are commercially produced with areas up to 12 square feet (Wronski, 1996; Guha, 1996; Forrest, 1997). The progress in a-Si solar cell technology is due to concurrent advances in the areas of new materials, novel cell designs and the large-area deposition techniques suitable for mass production. This progress has predominantly been a consequence of the lack of long-range order, such as is present in crystalline silicon (c-Si), which on one hand drastically changes the photovoltaic properties of the a-Si materials but on the other offers great flexibility in the manufacture of different solar cell structures as well as large-area monolithic modules.
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Several outstanding features of amorphous silicon-based technology have allowed continuous advances to be made in the performance and manufacture of a-Si solar cells. Cells can be fabricated using a-Si alloyed with hydrogen, germanium and carbon to form semiconductors with band gaps between about 1.3 and 2.0 eV (Dawson et ah, 1992). These band gaps allow the fabrication of not only singlejunction, but also tandem and triple-junction, stacked cells designed in such a way as to maximise the absorption of the solar spectrum (Yang and Guha, 1992; Yang et al., 1998). These a-Si alloys are excellent candidates for thin-film solar cells since, unlike crystalline silicon, they have optical absorption coefficients similar to those found in direct band-gap semiconductors (Collins and Vedam, 1995). In addition, unlike any other amorphous semiconductors, these a-Si-based materials can be doped both p-and n-type (Spear and LeComber, 1975), which allows high-quality junctions and nohmic contacts to be used in solar cell fabrication (Carlson and Wronski, 1976; Wronski, et al., 1976). Last but not least, the fabrication processes of these cells are run at temperatures less than 300 C, which allows uniform thin films and cells to be reproducibly deposited over large areas. Because the long-range order present in c-Si is absent in a-Si there are significant differences between the semiconductor properties of the two materials. The properties that are important in solar cells and their contributions to cell performance are reviewed in Section 5.3. These include the properties of intrinsic and doped materials as well as the reversible light-induced changes that occur under sunlight. Despite the amorphous nature of the materials, their photovoltaic properties do depend on their microstructure. This is determined by growth kinetics and hence by the various fabrication conditions discussed in Section 5.4. The principal mechanisms that determine the operation of efficient a-Si-based solar cells, and which are different from those in crystalline Si cells, are briefly described in Section 5.5. Next, a review is presented of how these cells have been optimised by incorporating different a-Si:H alloy materials into various cell structures and multijunction stacked cells. Section 5.6 describes the different cell structures utilised by various organisations and discusses the characteristics and performance of single-junction, tandem and triple-junction cell structures. Section 5.7 discusses the development and commercialisation of a-Si:H modules fabricated on glass, stainless steel and plastic substrates. Issues related to the manufacturing costs of such modules are presented in Section 5.8 and their long-term reliability is discussed in Section 5.9. Environmental issues and the challenges for the future are reviewed in Sections 5.10 and 5.11 respectively.
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5.2 Background Amorphous silicon deposited from silane was first investigated by Chittik et al. (1969). Although subsequent work was carried out on this material, its potential as a useful optoelectronic material was not recognised until 1976. In that year, Carlson and Wronski (1976) reported the first results on 2% efficient a-Si solar cells and shortly afterwards on ones with 5% efficiency (Carlson et al., 1976). This sparked worldwide interest in a-Si and a-Si-based solar cells, and led to numerous fundamental studies on the materials and improving the performance of a-Si solar cells. Once the importance of hydrogen in these materials had been recognised (Brodsky et al., 1977), a wide range of deposition techniques and conditions were employed in attempts to improve the properties of hydrogenated amorphous silicon (a-Si:H) for solar cells. These included not only the intrinsic optoelectronic and photovoltaic properties of the material, but also the equally important, large changes that occur upon exposure to sunlight and which are perfectly reversible on annealing at ~150C for a few hours (Staebler and Wronski, 1977). These light-induced changes, known as the StaeblerWronski effect (SWE), manifest themselves in both thin-film materials and solar cells. The early discovery of the SWE had an enormous effect on the development of a-Si solar cells and their technology by having a major impact on cell design. Engineering approaches were developed for minimising the effects of the SWE on the degraded steady-state (i.e. stabilised) cell efficiencies by making the cells as thin as possible (Hanak and Korsun, 1982). Reduction in cell thickness, and the corresponding lower absorption of sunlight in the cell, leads to lower short-circuit currents (i^), which reduces the possible power conversion efficiency. This problem was greatly reduced with the development of efficient optical enhancement (Yablonovitch and Cody, 1982; Deckman et al., 1984) obtained by introducing textured, rather than smooth, optical reflectors. Such optical enhancement, which was first successfully applied to a-Si-based solar cells, is now extensively used in all types of thin-film solar cells. Another key element in the development of efficient a-Si solar cells with thinner absorber layers was the introduction of amorphous silicon-germanium alloys, which have band gaps significantly lower than those of a-Si:H. This allowed not only single- but also tandem and triple-junction cells to be fabricated (Yang and Guha, 1992; Yang et al., 1984). With successful engineering, both the initial and the degraded steady-state efficiencies of these cells have been steadily improved.
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5.3 Amorphous silicon based materials 5.3. J Introduction The materials used in amorphous silicon-based solar cells are prepared by plasmaenhanced chemical vapour deposition (PECVD), which relies on the decomposition of gases containing silane (S1H4). These materials are in fact silicon-hydrogen alloys, typically containing 5-20 at.% hydrogen. The key function of the hydrogen in these materials is to passivate the broken Si bonds that are introduced by the absence of the long-range order present in c-Si. The differences in the structure between c-Si and hydrogenated amorphous silicon (a-Si:H), and the passivation of dangling bonds by hydrogen, is illustrated in Fig. 5.1. The diagram on the left shows the tetrahedrally bonded crystal structure that extends throughout the lattice of c-Si. On the right is a schematic diagram of the a-Si:H network, which has a Si-Si nearest neighbour configuration similar that of c-Si but no long-range order, and consequently a large number of dangling (broken) bonds. Luckily, as indicated in the figure, the vast majority of these bonds are passivated by the hydrogen in the a-Si:H-based materials.
Figure 5.1 The tetrahedrally bonded crystal structure of c-Si is shown on the left. The absence of longrange order and passivation of Si dangling bonds by hydrogen is illustrated on the right.
This passivation greatly reduces the density of the -10 cm" dangling-bond defects present in unhydrogenated a-Si. The incorporation of hydrogen also leads to materials with significantly wider band gaps than c-Si, but which, because of their disorder, have at the same time much higher optical absorption. The atomic hydrogen present during the growth of the materials also plays a very important role in determining the growth kinetics and the resulting microstructure. With high dilution
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of the feedstock silane gas with hydrogen it is even possible (and sometimes advantageous) to obtain microcrystalline Si:H (/JC-Si:H) alloys (Hirose, 1984; Tanaka and Matsuda, 1987; Collins and Fujiwara, 1997). Hydrogenated amorphous silicon can also be grown with germanium and carbon to produce a-SiGe:H and a-SiC:H alloys, materials, which are extremely useful as components of a-Si:H-based solar cells. However, because the properties of a-Si-based materials depend on the growth and deposition conditions, unlike c-Si there is no unique form of a-Si:H. While this allows a wide range of materials to be developed for solar cell applications, it has on the other hand made it difficult to obtain consistent material parameters, since studies are generally carried out on materials grown under different conditions.
5.3.2 Band gaps and optical absorption The disorder in a-Si:H-based materials transforms the nature of the optical absorption associated with the indirect band gap of c-Si to that of direct band-gap semiconductors (Collins and Vedam, 1995). Incorporation of hydrogen into the a-Si:H network not only removes defects, and defect states in the forbidden gap, but also widens the gap. Hence when the hydrogen content in a-Si:H is increased from about 5% to 20%, the band gap increases from -1.6 eV to -1.8 eV (Zanzucchi et al., 1977). The band gaps of a-SiGe:H and a-SiC:H alloys depend on the concentrations of the Ge and C as well as that of hydrogen. The alloys used in solar cells have Ge up to about 60 at.% and C up to about 20 at.% with band gaps which are down to about 1.3 eV for the a-SiGe:H materials and up to about 2.0 eV for the a-SiC:H materials (Dawson et al, 1992; Lu et al, 1994; Ganguly and Matsuda, 1996). By incorporating different amounts of hydrogen into a-Si:H, it is possible to change not only its band gap but also the density of states in the gap; materials prepared with 5-15 at.% of hydrogen generally have densities of dangling-bond states on the order of 1015 to 1016 cm"3. The optical absorption of such a-Si:H materials is shown in Fig. 5.2 for three RF PECVD films prepared under similar conditions but at different substrate temperatures Ts, with the corresponding optical gaps Ug (Tauc et al., 1966) also shown in the figure. The changes in the gaps are clearly reflected in the systematic horizontal shifts of the absorption spectra, where regions of a greater than 10 cm" correspond to optical transitions between the valence and conduction bands. The regions of a between about 103 and 10 cm-1, which are exponential in nature, arise from the absorption in valence-band tail states, created by the disorder in these amorphous materials (Roxlo et al., 1983). The densities of the valence-band tail states are significantly higher than those of the conduction-band tails (Tiedje, 1984), even in
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I 1.0
1.2 1.4 Energy/eV
1.6
Figure 5.2 Optical absorption a versus photon energy for a-Si:H films deposited by RF PECVD at three substrate temperatures, T„ showing also the resulting band gaps Ug. After Wronski (1996).
the recently developed materials with a highly ordered network (Koh et al., 1998). The shoulders in the absorption spectra at photon energies less than -1.4 eV, with values of a below -10 cm"1, are due to optical transitions originating from defect states near and around the middle of the gap (Jackson et al., 1983; Wronski et al., 1997). The energy band diagram and the distribution of gap states in a-Si:H are shown schematically in Fig. 5.3. Unlike c-Si, the a-Si materials have a continuous distribution of localised states in the gap through which electrons and holes cannot move freely. Near the conduction and valence band edges are the two sets of band tail states, whose densities decrease exponentially from the main conduction and valence band edges. There are also deep-lying gap states whose densities, generally represented by gaussian distributions, consist of: neutral dangling-bond states (D°) in the middle of the gap; negatively charged defect states (D~) below the middle of the gap; and positively charged defect states (D+) above the middle of the gap (Branz and Silver, 1990; Powell and Dean, 1993; Jiao et al, 1996a). These deep-lying states are very important in determining the collection of photogenerated carriers in a-Si solar cells. The absorption that is useful in creating free carriers in solar cells is at values of a greater than about 103 cm-1, which corresponds to photons with energies greater than the band gap of the material. Even though a wide range of band gaps is available from
Amorphous Silicon Solar Cells
1
205
Conduction Band
/ ""CTTTair
I
=^H
z>°* ^ > D°
^ = = *!!>-<-' >
D
^BJail Valence Band
\ =m
DENSITY OF STATES Figure 5.3 A plot of the densities of states versus energy for a-Si:H, illustrating the continuous distribution of the different localised states.
the a-Si:H alloy materials, the values that can be utilised in efficient solar cells are limited by the increase in the deep-lying defect states that occurs with the introduction of Ge and C. The a-Si:H alloy materials that currently allow photogenerated carriers to be efficiently collected in solar cell structures have band gaps between about 1.3 and 2.0 eV, a sufficiently wide range to offer the flexibility required for constructing efficient single-junction, as well as multijunction, solar cells.
5.3.3 Intrinsic properties The intrinsic materials obtained under the usual deposition conditions contain impurities such as O, N, C, typically in the concentration range 1018—10 cm" (Carlson, 1984). Interestingly, significant reduction in the levels of these impurities to values as low as 10 l5 -10 l6 cirf 3 does not appear to improve the semiconductor properties or the stability of the materials (Kamei et al., 1996). The semiconductor properties and stability do, however, depend on the mechanisms that determine the growth processes, the incorporation of hydrogen and the resultant microstructure (Tanaka and Matsuda, 1987; Collins, 1994; Collins and Fujiwara, 1997). By optimising growth conditions, it has been possible to obtain a-Si:H materials with properties that are outstanding for an amorphous semiconductor (Lee et al., 1996). These intrinsic (undoped) materials have Fermi levels near the middle of the gap and free-carrier transport via the delocalised states of the conduction and valence bands. However, because of the lack of long-range order, the free-carrier mobilities in these bands are significantly lower than those in c-Si, being only about 10 and 1 cm2 V - ' s~
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for electrons and holes respectively (Tiedje, 1984). The exponential distributions of gap states near the bands, such as seen in Fig. 5.3, may not directly affect the extended-state mobilities but they can have an effect on solar cell performance. The gap states with the largest effect on the transport of photogenerated carriers are those located near midgap, which act as very efficient recombination centres. Keeping their densities down to the previously discussed levels of ~1015-1016 cm -3 is key to efficient solar cell operation. This allows the hole and electron lifetimes to be as high as 10~8 -KT 6 s, and the low space-charge densities associated with such a low concentration of defect states allows the junction electric field to extend over the entire thickness of efficient solar cells (Carlson and Wronski, 1979). Incorporation of Ge and C introduces deep-lying gap states into the a-SiGe:H and a-SiC:H alloys. This reduces the carrier lifetimes but does not affect the extendedstate free carrier mobilities. In the case of a-SiC:H, even low carbon incorporation has a large effect on the microstructure so that the densities of defects, particularly after prolonged illumination in sunlight, are too high for this material to be useful as an absorber layer in solar cells. However, this is not the case for a-Si:Ge:H alloys, which retain good semiconductor properties and densities of midgap states around 1016 cm"3 even with about 60 at. % of Ge.
5.3.4 Doping Amorphous Si:H-based materials are the only amorphous materials that can be doped both n- and p-type. High-quality undoped materials are intrinsic (t) or slightly n-type, with Fermi levels at or near midgap. Because the midgap state density is low, the introduction of donors and acceptors can readily move the Fermi levels towards the conduction and valence band, respectively, so the initially high-resistivity materials can become very conductive. As in the case of c-Si, n-type doping is achieved by incorporating phosphorus into the materials, and p-type doping by incorporating boron (Spear and LeComber, 1975). The incorporation of high densities of these dopants, however, also introduces defect states near midgap that limit the doping efficiency and drastically reduce free-carrier lifetimes (Wronski et al., 1982). As a result, doped materials cannot be used as active absorber layers in solar cells, as they can in c-Si p-n solar cells. Instead, a-Si:H-based solar cells take advantage of the excellent transport properties of their intrinsic materials and utilise both p-i-n and n-i-p cell structures. These cells are actually heterojunction structures which have ptype a-SiC:H or p-type /ic-Si:H p/i junctions and ohmic contacts formed of either ntype a-Si:H or n-type ,uc-Si:H layers. The p-type a-SiC:H and the p-type jUc-Si:H
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result in excellent contacts since their quasi-Fermi levels are located about 0.4 eV and 50 meV from their respective valence bands. The n-type a-Si: H and n-type /xc-Si:H provide excellent ohmic contacts to the Mayers since their Fermi levels are about 0.2 eV and 50 meV from their respective conduction bands. By incorporating such ptype and n-type materials into p-i-n or n-i-p cells, it is possible to obtain built-in voltages well over 1 V (Lee et al, 1997).
5.3.5 The Staebler—Wronski effect The light-induced changes in a-Si:H-based materials known as the Staebler-Wronski effect (SWE) are not only of great scientific interest, but also of great technological importance, because of their effect on the long-term stability of a-Si:H-based solar cells and modules. The SWE was first observed as changes produced by sunlight in the carrier transport of thin films, which were found to be completely reversible on annealing the materials for a few hours at -150 C (Staebler and Wronski, 1977). These changes result from the introduction of metastable defects whose rate of creation and densities depend on the intensity of illumination and the temperature. The reversible changes that occur between an annealed initial state A and a 'lightsoaked' state B have become one of the most investigated phenomena in a-Si:H-based materials and solar cells (Wronski, 1984; Fritzsche, 1997; Stutzmann, 1997; Wronski, 1997). However, progress in obtaining a definitive understanding and control of the SWE has been relatively slow. This is largely because of the complex nature of the defects and the differences in the microstructure of a-Si:H materials prepared under different growth conditions. Figure 5.4 shows an example of the now well-known decreases in photoconductivity and dark conductivity that occur on prolonged illumination of a-Si:H thin films. Figure 5.4 shows the change in photoconductivity (upper curve) of a-Si:H film annealed at 150 C, state A, as it is illuminated with 100 mW cm"2 of white light. Also shown is the corresponding decrease of the dark conductivity during the illumination period (lower curve). These changes are a direct consequence of the defects created in the a-Si:H by the light. These metastable defects act as additional recombination centres that reduce the carrier lifetimes and hence the photoconductivity. Their presence in the gap also pulls the Fermi level towards midgap, which reduces the free electron concentration and decreases the dark conductivity by several orders of magnitude. Though advances have been made in the understanding of the SWE, there is as yet still no consensus on the exact nature of the light-induced defects or the mechanism
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C. R. Wronski and D. E. Carlson
io"-
•"
>0-9.
illumination
\
O
dark conductivity
50
100
ISO
2O0
250
Time/min
Figure 5.4 Dark conductivity and photoconductivity of an a-Si:H thin film shown as a function of the illumination time with sunlight. After Staebler and Wronski (1980).
responsible for their creation. There is general consensus, however, that the hydrogen that plays a key role in eliminating dangling-bond defects in a-Si:H alloys also plays a key role in their light-induced creation (Lee et al., 1996; Carlson and Rajan, 1998). For a long time, the widely held view was that the only defect states produced by light were associated with the neutral dangling bond, D°. However, there is now extensive evidence indicating the importance of microstructure, other than that associated purely with hydrogen, and showing that light-induced changes in the charged defect states are just as important as, if not more important than, those in the D° states (Wronski et al., 1997; Lu et al, 1999). Significant progress has been made over the years, not only in improving the initial (state A) properties of a-Si-based materials, but also in reducing the SWE. This has been achieved by optimising growth conditions to improve the microstructure of the materials through incorporation of hydrogen into the network. As a result it is possible to obtain solar cells with not only higher initial efficiencies but, more importantly, better performance after they reach degraded steady state under illumination with 1 Sun. In addition, these materials and their solar cells require much shorter times to reach the degraded steady state in sunlight, under 100 hours as compared to thousands of hours in the past (Yang and Chen, 1994; Lee et al., 1996). This makes fundamental studies of the SWE, as well as those on solar cell improvements, more amenable to detailed investigations.
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5.4 Growth and microstructure The a-Si:H-based materials used in solar cells are usually deposited by PECVD at substrate temperatures from about 100 to 300 C. The decomposition of the feedstock gases may be carried out in a variety of reactor geometries, and with plasmas generated over an extremely wide frequency range, including DC; RF (13.56 MHz); VHF (60-100 MHz); and microwave (2.45 GHz) (Uchida, 1984; Watanabe et al., 1986; Tanaka and Matsuda, 1987; Shah et al, 1996; Collins and Fujiwara, 1997). However, in all cases the growth process can be considered to occur in three stages. The first stage is the dissociation of S1H4 into a partly ionised reactive mixture. Next, while the mixture is transported to the surface of the growing film, there are continuous chemical reactions between the different species. The species arriving at the surface are adsorbed on the growing film, where they can react with both the film itself and the radicals in the gas phase. The resulting by-products (mainly hydrogen and unreacted silane radicals) desorb from or are etched off the surface by the reactive species arriving at it. The main precursor in the growth is the SiH3 radical, but other neutral species, such as Si, SiH and SiH2, also reach the growing surface and have a pronounced effect on the structural, optoelectronic and photovoltaic properties of the materials. Hydrogen coverage of the growing surface is desirable since it is a critical factor for surface mobility of the precursor species. The high mobility allows the radicals to find more stable sites for forming a dense random network, leading to superior material. At a given substrate temperature, therefore, there is a trade off between any increase in surface diffusion and the desorption of hydrogen that leaves behind unpassivated dangling bonds. The quality of amorphous silicon-based films is determined by deposition parameters such as the substrate temperature, the pressure, the flow rate of the source gases, the plasma frequency, the power and the electrode spacing. As we have just noted, the substrate temperature is a critical parameter, and since it controls hydrogen incorporation it can be used to tailor the band gap of the materials. While decreasing the substrate temperature can increase the optical band gaps, the accompanying changes in the growth processes must be taken into account. These include both the changes in microstructure arising from the lower diffusivity of species on the surface, and an undesirable tendency to incorporate polyhydrides such as SiH2 and S1H3. The optimum substrate temperature range of -180-250 C maximises the surface mobility of the surface radicals while at the same time allowing adequate hydrogen surface coverage for passivating Si dangling bonds (Tanaka and Matsuda, 1987). The properties of the materials also depend on the pressure of the source gases. At low pressures, the growing surface can suffer severe ion bombardment. At high
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pressures, on the other hand, because of the increased collision frequency between electrons and radicals in the plasma, there is a tendency to create powder in the gas phase, which introduces dihydride and polyhydride complexes into the deposited material. The flow rate of the source gases is an important deposition parameter since it determines the residence time of the different molecules in the plasma and hence affects the growth kinetics. The frequency used also affects the nature of the plasmas, and in particular the ion bombardment intensity, which becomes significantly lower at VHF and microwave frequencies. The nature of the plasmas and growth processes also changes with the introduction of the alloy-forming gases, GeH4 and CH4, the ntype dopant PH3, and the p-type dopants B2H6 or trimethyl boron. However, in all the types of depositions using PECVD, hydrogen plays a key role in reducing defects and improving the quality of the a-Si materials. 10000
1000 • <
""^ 200 •o
100
10
5
10
20
40
100
R=[H2y[SiH4] Figure 5.5 Film thickness dn for the phase transition from a-Si:H to //c-Si:H plotted versus the hydrogen dilution ratio R. After Koval et al. (1999).
The beneficial effect of hydrogen in the feedstock gases has been successfully enhanced by diluting them with molecular hydrogen. This was used first in the deposition of a-Si:H alloys (Ganguly and Matsuda, 1996), and more recently in the fabrication of intrinsic a-Si:H (Lee et al, 1996). Dilution with hydrogen has a profound effect on film growth, beginning with the nucleation and coalescence of the thin films and then controlling the bulk as well as the growing surface (Collins, 1994). With a relatively low hydrogen dilution ratio R (= [ItyMSiFL,]) of 10, not only does a-Si:H film growth become dependent on the substrate but also the microstructure becomes thickness-dependent. The materials, which are initially amorphous, eventually become microcrystalline during growth. The thickness at which the transition from the amorphous to microcrystalline phase occurs depends on both the substrate and the dilution ratio R. This is illustrated in Fig. 5.5, which shows the
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thickness at which this phase transition is detected by real-time spectroscopic ellipsometry (Koh et al, 1998) for different values of R. These films were deposited at 200 C using RF discharge decomposition of H2 and SitL, onto substrates that are undiluted (R = 0) a-Si:H layers. The best amorphous materials are protocrystalline (Lu et al, 1994; Koval et al, 1999), corresponding to a-Si:H which is close to the //cSi:H regions, but to the left of the transition regime shown on the phase diagram in Fig. 5.5. These materials not only exhibit improved photovoltaic properties but also degrade less and reach a degraded steady state sooner (Lee et al, 1996). The low-temperature PECVD process used in the fabrication of a-Si:H materials and cells offers a number of technological advantages. Not only can it be readily scaled up to produce photovoltaic modules with very large areas, but it allows an extremely high degree of uniformity to be achieved over these areas. Moreover, PECVD is a deposition process that allows controlled changes in composition to be made with very high precision during film growth. Such controlled growth has been successfully applied to improving pli interfaces as well as band-gap profiling of alloy materials in solar cells. However, the deposition rate of the best materials using PECVD is only about 1 A s"1, which limits the mass production of a-Si:H solar cells. The challenge is to increase the deposition rate of the a-Si materials substantially while maintaining their outstanding properties.
5.5 5.5.1
Solar cells Principles of solar cell operation
The operation of all solar cells is based on common physical principles. However, since efficient a-Si based solar cells rely on material properties that are distinctly different from those of crystalline Si, the mechanisms that determine and limit their performance will be briefly reviewed. An indication of these differences is given by the basic cell structures used. In order to take advantage of the excellent properties of intrinsic (undoped) a-Si:H and a-SiGe:H, p-i-n and n-i-p heterojunction cell structures are used rather than the classic nip structures of c-Si cells. Normally, the p-i-n cell structures are p(a-SiC:H)-/(a-Si:H or a-SiGe:H)-n(a-Si:H or /ic-Si:H), and the n-i-p cells are n(a-Si:H and jUc-Si:H)-i(a-Si:H and a-SiGe:H)-p(|ic-Si:H). In both cases, high built-in potentials, well in excess of 1 V, are obtained with heavily doped n- and p-layers that serve as ohmic and window contacts. Figure 5.6 shows the energy-band diagrams of a /?(a-SiC:H)-/(a-Si:H)-«(a-Si:H) solar cell at thermodynamic equilibrium in the dark and at the maximum power point under AM 1.5 illumination.
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C. R. Wronski and D. E. Carlson Intrinsic Layer
(a)
N Layer
P Layer
Intrinsic Layer
N Layer
(b)
Figure 5.6 Calculated energy-band diagrams of a p(a-SiC:H)-/(a-Si:H)-n(/«:-SI:H) cell with a 320 nm thick /-layer with a band gap of 1.76 e V and 10"crrfJ densities of neutral dangling bond and charged defects (a) in the dark under zero bias, showing the built-in potential Vi„; (b) at the maximum-power point under AM 1.5 illumination, showing the different recombination paths for carriers; Ut„ and U
The built-in potential, which is determined by the separation of the Fermi levels iff and t7NF in thep- and n-contacts, is in this case 1.3 V. This appears in Fig. 5.6a as the band bending across the /-layer, where the electric field is clearly large, as indicated by the gradient of the band bending. Built-in potentials like this not only allow high V^ values to be obtained, but also result in built-in electric fields greater than 104 V cm"1 across cells with ('-layers less than 1 /xm thick. These fields help to overcome some of the limitations on collection of photogenerated carriers imposed by their low electron and hole mobilities, as well as their low diffusion lengths, all of which are much smaller than in c-Si. The efficient collection of carriers generated by sunlight in the /-layers now no longer depends on purely diffusive processes, but also relies on the electric fields to make the average time taken to transit the /-layers shorter than their recombination lifetimes (Carlson and Wronski, 1979). Such field-assisted carrier collection is, however, very sensitive to the thickness L of the /-layer, being approximately proportional to 1/L2 rather than \IL. This makes it difficult to maintain efficient carrier collection when the /-layer is made thicker in order to increase the amount of sunlight absorbed in the cell. The corresponding decrease in the average electric field and carrier collection has an effect not only on 4c, but even more so on the fill factor since under load (forward bias) the fields are significantly reduced. Consequently, the fill factor is the cell parameter that is most
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Amorphous Silicon Solar Cells
sensitive to the cell thickness as well as to the number of states in the gap, since they determine the carrier lifetimes and the space-charge densities responsible for the electric field distributions across the Mayers. Although the neutral, dangling band-gap states (D° in Fig. 5.3) are located near the middle of the gap and act as efficient recombination centres, there are also significant contributions to the recombination kinetics from the D+ and D" states even though they are located closer to the band edges (Wronski et al., 1997; Lu et al., 1999; Jiao et al, 1996b). Despite their displacement from midgap, the D+ and D" states become important under solar illumination, when there are large densities of photogenerated carriers in the Mayers. Under these conditions, as indicated in Fig. 5.6b, the electron and hole quasi-Fermi levels, U^ and U^, are close to the band edges, and the recombination of carriers proceeds through all the gap states between U^ and (7fp. For the case shown, the separation between U^ and U^ is about 0.9 eV so both D+ and D~
I Intrinsic layer thickness
-
0.0
0.2
3300A (FF=.73) - 5500A (FF=.68) 0.4
0.6
0.8
1.0
VOLTAGE (V)
Figure 5.7 Current-voltage characteristics under AMI .5 illumination for a-Si:H p-i-n solar cells with 330 and 550 n m /-layers.
states act as recombination centres and their space charge is a key factor in determining the electric field across the Mayer. The large decrease in the electric field that occurs under load can be inferred from Fig. 5.6b, where there is no longer any significant band bending across the Mayer, as there is in Fig. 5.6a. It is therefore not surprising that the fill factor is strongly dependent on the thickness of the Mayer. This is illustrated in Fig. 5.7, which shows the measured light I-V characteristics for /?(aSiC:HH(a-Si:H)-n(/ic-Si:H) cells with Mayer thicknesses of 330 and 550 nm, similar to those in Fig. 5.6. It is interesting that in this case the carrier collection under short-circuit conditions is still efficient, as shown by the increase of ix with thickness. However, the increased thickness lowers the effective collection efficiency under load, and the FF decreases from 0.73 to 0.68.
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In addition to carrier recombination in the bulk of the /-layer, additional recombination is possible in the pli interface region adjacent to the p-contact, as indicated in Fig. 5.6b. Such pli regions tend to have defect densities greater than those in the bulk and, even though they extend over a relatively thin region, they can have a large effect on both carrier recombination and electric field distribution. Furthermore, due to their location close to the p-layer they affect not only the fill factor but also the open-circuit voltage (Lee et al., 1998). They also affect other cell characteristics that depend on generation-recombination processes, such as the forward-biased dark currents. This is illustrated in Fig. 5.8, which shows the measured dark l—V characteristics of two p-i-n solar cells, similar to the thin one of Fig. 5.6. The logarithmic dark current, which is due to generation-recombination via near-midgap defect states, is reduced by an order of magnitude by improving the pli interface by high hydrogen dilution, with a corresponding increase in V^ of 30 mV (Wronski et al., 1997; Lee et al., 1998). With such improved interface regions, the currents are no longer dominated by the pli interface, becoming limited by the bulk. ~r~
10° I
~~I
a-Si:H p-i-n solar cell (0.32 urn) 10"2
-
*L „;
0.0
•
Standard
•
Hydrogen treated pli interlace
>•;
0.5
^r/' J*/
1.0
Voltage/V
Figure 5.8 The dark forward current-voltage characteristics of two p-i-n solar cells that are identical except that one has a hydrogen-treated (improved) pli interface region and the other does not. After Wronski et al. (1997).
The mechanisms determining the operation of a-Si solar cells clearly depend strongly on the light-induced defects associated with the SWE. The introduction of defects after prolonged exposure to sunlight reduces the free-carrier lifetimes and increases the space charge, which leads to a redistribution of the electric fields across the /-layers. This leads to changes in the quantum efficiencies as a function of wavelength, but fortunately these result in only a small decrease in /sc in high-quality
Amorphous Silicon Solar Cells
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solar cells, particularly when the Mayer is less than -300 nm thick. The defects generated in the bulk of the Mayers do have a large effect on the fill factors, and their light-induced changes are the major contributor to the loss in cell efficiencies. Lightinduced defects in the pli interface regions have the most pronounced effect on lowering the open-circuit voltages, but with good pli interfaces high open-circuit voltages that do not degrade in sunlight are obtained. In summary, the limitations on the operation of a-Si solar cells imposed by the low mobilities of the free carriers are compensated by the high optical absorption and low space-charge densities of the Mayers, which allow the electric fields to sweep out the carriers before they recombine. Both the recombination lifetimes and the electric fields depend strongly on the densities and types of the defect states. Thus in large part they determine the thicknesses of cells in which the photogenerated carriers can be sufficiently well collected to give high values of fill factors.
5.5.2
Optimisation of solar cells
From the beginning, the developers of a-Si-based solar cells sought improvements in the performance, not only of the initial cells, but also of the degraded, steady-state cells. At first the effort focussed on single-junction a-Si:H cells, but this quickly expanded to include optimisation of tandem and multijunction cells. Particular attention was paid to the degraded steady-state efficiencies obtained after prolonged exposure to AM 1.5 sunlight. The development proceeded along several tracks, which included improvements in materials and solar cell structures as well as engineering approaches for minimising the effects of the SWE. It also relied heavily on the flexibility that a-Si alloys offer in terms of band gaps and their ability to generate high open-circuit voltages with p-type a-SiC:H and /ic-Si:H materials. Improvements in V^ were obtained with better p-type contacts and improved pli interface regions. Improvements in ix were obtained by using lower band-gap materials to increase absorption in the intrinsic layers. For single-junction solar cells, the a-Si:H band gaps giving the highest efficiencies are around 1.7 eV. With these band gaps, open-circuit voltages of 0.9 V can be obtained while at the same time a 1 /jm thick Mayer absorbs a fraction of AM 1.5 sunlight that is sufficient to generate a short circuit current of -18 mAcnf 2 . The challenge, however, is to maximise ix by increasing the thickness of the Mayers while at the same time retaining the collection of carriers at a level necessary for high values of fill factors. Improved materials with low defect densities allow the thicknesses of Mayers to be extended while still having high carrier collection efficiencies, but thus far these thicknesses are still significantly
216
C. R. Wronski and D. E. Carlson
less than 1 /im. The acceptable thickness of high-performance cells is further limited by the SWE, since the light-induced defects degrade the carrier transport and further limit the carrier collection efficiencies. A major breakthrough in achieving thin, high-efficiency cells was achieved with the development of optical enhancement based on textured substrates and reflectors (Yablonovitch and Cody, 1982; Deckman et al., 1984). The optical enhancement arises from the large-angle scattering caused by the surface texture, which produces multiple internal reflections that allow weakly absorbed light to undergo many passes through the Mayer. This greatly increases the already high optical absorptivity at longer wavelengths, so that significantly higher quantum efficiencies can be obtained 1.0
1
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.4
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Figure 5.9 Experimental collection efficiency as a function of wavelength for an a-Si:H p-i-n solar cell with four different reflectors: flat Cr, flat Ag, textured tuned or textured detached. The results are normalised to the peak quantum efficiency at 0.55 /an. Shown as symbols are the theoretical results for a tuned and a detached reflector. After Deckman etal. (1984).
at these wavelengths without any increase in the cell thickness. Figure 5.9 shows the improvement that can be obtained by depositing an n(a-Si:H)-i(a-Si:H)-/?(a-SiC:H) cell on a textured, rather than flat, metal reflector. When the flat Cr or Ag reflector is replaced with a textured detached or tuned reflector, the quantum efficiency at 0.7 /an is improved from -10 to 20% of the peak value (observed at 0.55 fan) to -0.5 of the maximum for the tuned reflector, and -0.6 for the detached reflector. The tuned reflectors consist of metal evaporated on appropriately textured glass onto which the n-i-p cell is deposited. The detached reflectors have the same metal combination but with the addition of a conductive oxide (Sn0 2 , ZnO) several thousands of Angstroms thick for 'detaching' the n-i-p cell from the metal. Using textured substrates it has been possible to obtain short-circuit currents of about 18 mA cm" with a-Si:H of Ug -1.7 eV and Mayers much thinner than 1 /an.
Amorphous Silicon Solar Cells
217
150
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Voltage/V Figure 5.10 Current-voltage characteristic of an integrated-type single-junction a-Si:H module under extended AM 1.5 illumination. The 12% efficient module has an area of 100 cm2 and consists of 14 cells in series. After Tsuda et al. (1993).
The high short-circuit currents possible with thin absorber layers greatly reduce the requirements on the carrier transport needed to obtain good fill factors in both the initial and the degraded states. By taking advantage of such optical enhancement, as well as ongoing improvements in materials and cell components, initial efficiencies in excess of 12% can now be obtained in single-junction a-Si:H cells and modules. The light I-V characteristics of a 100 cm2, single-junction module with an efficiency of 12% is shown in Fig. 5.10 (Tsuda et al, 1993). This panel consists of 14 seriesconnected cells, each having a FF in excess of 0.73 and a V^ of 0.9 V. Steady improvements in the stability of a-Si:H high-performance cells were also achieved by developing and then incorporating more stable a-Si:H materials into novel cell structures. The recent use of protocrystalline a-Si:H obtained by hydrogen dilution of the silane feedstock has led to a significant improvement in the stability of a-Si:H cells. This is illustrated in Fig. 5.11 for a p(a-SiC:HH(a-Si:H)-n(/ic-Si:H) cell having a 180 nm /-layer of such protocrystalline a-Si:H (Koval et al, 1999). Not only does the FF reach a degraded steady state in less than 100 hours of AM 1.5 sunlight illumination, but its degradation to a value of -0.70 corresponds to a light-induced diminution of only about 6%. The large interest in the improvement of not only the initial, but also the degraded, steady-state efficiencies, started the early development of multij unction cells along a two-track approach. In the first approach, improved stability of the degraded steadystate efficiency was sought by replacing a single thick a-Si:H cell by two thinner ones. In such a double-junction a-Si:H/a-Si:H tandem cell, the smaller thickness of the
218
C. R. Wronski and D. E. Carlson
0.68
0.1
1
10
100
AM 1.5 illumination time (hrs) Figure 5.11 Fill factor versus AM 1.5 illumination time at 25 C for a 180 n m thick p-i-n cell with a protocrystalline a-Si:H /-layer. After Koval el al. (1999).
individual cells lowers the requirements on carrier transport for efficient operation of each. The bottom cell is made somewhat thicker in order to compensate for the lower absorption of the longer wavelengths of the sunlight not absorbed in the top cell. The increase in thickness required to achieve equal short-circuit currents from the two cells is, however, not great since the optical enhancement, discussed earlier, is more efficient for the bottom cell. This approach has been successfully implemented in both cells and modules to obtain initial efficiencies greater than 10% and degraded steadystate efficiencies greater than 9% (Ichekawa et al., 1993). The second approach to tandem cells is the more traditional one where, in order to generate power more efficiently from the different parts of the solar spectrum, the stacked cells have different band gaps. Indeed, a-Si:H materials cover such a wide range of band gaps that solar modules composed of three-junction stacked cells are also practical. Thus not only a-Si:H/a-SiGe:H tandem cells but also a-Si:H/aSiGe:H/a-SiGe:H triple-junction cells have been developed. The optimisation of such cells centres on the ability to split the absorption of sunlight in the component cells in such a way as to maximise their carrier collection efficiencies, while at the same time generating equal currents in all the component cells. Because of the flexibility provided by the wide range of available band gaps, there are a number of different combinations for the absorber layer band gaps that lead to high-efficiency a-Si:H alloy triple-junction cells. Extensive work on a-Si:H/a-SiGe:H tandem cells has been carried out but, despite continuous progress, their performance is limited by the quality of the narrow bandgap a-SiGe:H materials, which is still markedly inferior to that of a-Si:H. To
Amorphous Silicon Solar Cells
219
overcome this limitation, special cell designs have been developed for maximising cell performance and at the same time minimising light-induced degradation. This includes band-gap profiling and constructing cells whose initial performance is not optimised, but rather account is taken of their individual degradation so as to achieve a maximum stabilised overall performance (Yang and Guha, 1992; Guha et al., 1989; Yang et al., 1994). This has led to tandem cells with absorber layers having a wide range of thicknesses and profiled band gaps.
0
0.5
1.0 Voltage/V
(a)
1.5
2.0
350
550 750 Wavelength/nm
950
(b)
Figure 5.12 (a) The current-voltage characteristic of an a-Si:H/a-SiGe:H tandem solar cell in its initial state of 12.61% efficiency, (b) The quantum efficiency as a function of wavelength in the AM 1.5 degraded steady state when the efficiency is 11.1%. After Yang and Guha (1992).
Figure 5.12 shows the characteristics of an a-Si:H/a-SiGe:H tandem solar cell in which the a-Si:H has a band gap of 1.75 eV and the a-SiGe:H one of 1.45 eV in its narrowest region. Figure 5.12a shows the initial current-voltage characteristic under AM1.5 illumination, when the cell efficiency is 12.61%. The short-circuit current of 10.67 mA cm" is limited by the smaller of the currents generated in the individual cells, the open-circuit voltage of 1.65 V is the sum of the voltages in the two individual cells, and the FF of 0.716 is determined by the degree of current matching between the two cells, their ability to collect carriers, and the quality of the interconnect between the two cells. Figure 5.12b shows the quantum efficiency as a function of wavelength for the cell after it has been degraded with AM 1.5 sunlight for 600 hours at 50 C to an efficiency of 11.1%, and how the currents in the two cells are generated by different parts of the solar spectrum. The decrease in cell efficiency between the initial and the degraded state is due to the decreases in V^ from 1.65 to 1.61 V, in the FF from 0.716 to 0.655, and in ix from 10.67 to 10.61 mA cm"2.
C. R. Wronski and D. E. Carlson
220
Triple-junction stacked cells offer even more efficient utilisation of the solar spectrum by using thin component cells to successfully absorb and collect the blue, green and red photons in cells with corresponding smaller band-gap j-layer materials (Yang et al., 1998). The highest efficiencies have been obtained using cell combinations in which: the top cell, which captures the blue photons, has an a-Si:H ilayer with a gap of ~ 1.8 eV; the middle cell, ideally suited for absorbing the green photons, has an i'-a-SiGe:H layer with 10-15 at.% Ge, and a gap of -1.6 eV; and the bottom cell, capturing the red and infrared photons, has an i-layer of a-SiGe:H with 40-50 at.% Ge and a gap of -1.4 eV. In the highest efficiency cells, the electrical and optical losses in the interconnects between adjacent cells have been minimised by using thin, highly doped n-p tunnel/recombination junctions. Also the currents in the bottom a-SiGe:H cells are optimised by band-gap profiling and highly efficient optical enhancement with textured detached reflectors. 2.5
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550 650 750 Wavelength (nm) (b)
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Figure 5.13 (a) Current-voltage characteristic and (b) quantum efficiency as a function of wavelength of a Uni-Solar a-Si:H/a-SiGe:H/a-SiGe:H triple-junction n-i-p cell with an STP efficiency of 15.2%. The short-circuit currents generated in the individual cells are indicated in (b), as is the total short-circuit current of 27.16 mA cm-2. After Yang et al. (1998).
Figure 5.13 shows the current-voltage and quantum efficiency characteristics of such an a-SiGe:H/a-SiGe:H/a-Si:H n-i-p stacked cell on stainless steel (Yang et al, 1998). The initial efficiency of this cell is 15.2%, as compared with the 12.61% of the tandem cell in Fig. 5.12. The introduction of the third cell increases the open-circuit voltage but lowers the short-circuit current relative to the tandem structures. This can be seen in Fig. 5.13a, where the open-circuit voltage of 2.34 V obtained from the three cells in series is much higher than the 1.65 V in Fig. 5.12a, but the short-circuit current of 8.99 mA cm-2 is significantly lower than the 12.6 mA cm-2 of the tandem cell since now each component cell absorbs a smaller fraction of the solar spectrum.
221
Amorphous Silicon Solar Cells
Figure 5.13b shows the utilisation of the solar spectrum in the three component cells and the excellent matching of the currents generated in the different cells. The total current of 27.16 mA cm"2 that would be generated if the cells were in parallel is higher than for the tandem cell. It is important to note that these currents are generated in cells that are thinner than those of other cell structures, thus minimising the requirements on carrier transport for efficient operation and assuring high fill factors as well as reducing the deleterious effects of the SWE. As noted above, significant progress has been made in the last two years in improving the efficiencies of amorphous silicon solar cells, particularly the degraded steady-state performance.
5.6 Solar cell structures 5.6.1 Introduction Amorphous silicon solar cells have been fabricated in a variety of different device structures. These include single-junction p-i-n and n-i-p devices as well as Schottky barrier cells, MIS cells and several different types of multijunction cells. A variety of different substrates such as glass, metal foils and plastics have been used. The major constraint on the substrate material is that it must be able to withstand temperatures of at least 150 C and not contaminate the a-Si films during deposition. Table 5.1
Amorphous silicon device structures and performance Efficiencies (%) Device structure (initial/stable)
Steel / Ag / ZnO / n-i-p 1 n-i*-p 1 n-i*-p 1ITO Steel / Ag / ZnO / n-i-p 1 n-i*-p 1 ITO Glass / Sn02 / p-i-n 1 p-i-n 1 ZnO / Ag Glass / Sn0 2 / p-i-n 1 ZnO / Ag Glass / SnQ2/p-i-n 1 p-i*-n 1 ZnO / Ag
15.2/13.0 14.4 / 12.4 12.5/9.0 12.0/8.9 11.6/10.0
Organisation USSC
ussc Fuji Electric Sanyo BP Solarex
Note: i* represents an a-SiGe /-layer.
Table 5.1 lists some of the a-Si device structures that have been made by different organisations and the best initial and stabilised conversion efficiencies achieved in the laboratory with these structures. The highest stabilised conversion efficiencies (13.0%) have been obtained with triple-junction structures (Guha et al., 1999). Even higher efficiencies (18.3%) have been recently achieved with a-Si/crystalline silicon
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C. R. Wronski and D. E. Carlson
hybrid structures such as the Sanyo HIT cell (Tanaka et al., 1992). Since these devices are not thin-film structures, we shall not consider them here. Rather, we will review some of the more important commercial a-Si device structures in detail.
5.6.2 Single-junction structures Most of the low-wattage a-Si PV products used in consumer applications have been fabricated using single-junction p-i-n structures on glass substrates (Carlson and Catalano, 1989). As shown in Fig. 5.14, these single-junction devices are deposited on glass substrates coated with ~600 nm of a textured tin oxide that acts as the front electrical contact. The tin oxide is grown with a sub-micron surface texture that is determined by the grain size of the crystallites, and this texture improves the device performance by scattering and trapping the incident light.
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A schematic of a typical commercial single-junction device structure fabricated on a glass
The p-i-n diode is formed by first depositing about 10 nm of a boron-doped amorphous silicon-carbon alloy (the a-SiC:H p-layer), then about 250 nm of undoped or intrinsic a-Si:H (the i-layer), and finally about 30 nm of phosphorus-doped amorphous silicon (the n-layer). The back contact is usually formed by sputter depositing about 400 nm of aluminium. Single-junction a-Si devices can also be made using an n-i-p structure on metal substrates, but very few commercial products have been made in this configuration. The major drawback to single-junction a-Si solar cells is that they typically degrade by about 22-25% in sunlight before stabilising, and the steady-state performance of commercial modules is generally only in the 4-6% range.
Amorphous
5.6.3
223
Silicon Solar Cells
Tandem structures
In recent years, several companies have introduced multijunction a-Si PV modules since they exhibit higher stabilised conversion efficiencies than single-junction devices. The theoretical conversion efficiency of multijunction cells is higher than that of single-junction cells because they can make use of more of the solar spectrum at a higher net output voltage. The theoretical efficiency of an ideal single-junction cell is about 28%, while that of an ideal tandem device is about 36% and that for an ideal triple-junction device is about 42% (Bennett and Olsen, 1978).' In the case of aSi cells, another factor favouring multijunction devices is the better stabilised performance associated with the use of thinner /-layers (Hanak and Korsun, 1982). light
glass
--silicon dioxide ^textured tin oxide -p-layer -a-Si /-layer -tunnel junction -a-SiGe /-layer ' n-layer "zinc oxide aluminium
Figure 5.15
A schematic of a tandem device structure fabricated on a glass substrate.
Most of the commercial tandem modules have the device structure shown in Fig. 5.15 (Carlson et al., 1996). The front junction is similar to that of the singlejunction device described above, with an Mayer optical gap of-1.78 eV. However, in the case of the tandem structure, another p-layer is deposited after the n-layer of the front junction. This nip junction is often referred to as a 'tunnel' junction, but it actually functions as a recombination junction in electrically connecting the two p-i-n junctions of the tandem structure in series. The second or back junction is formed by depositing an undoped amorphous silicon-germanium alloy (a-SiGe:H) on the second p-layer and then a second a-Si:H n-layer. In the BP Solarex tandem structure, the aSiGe:H /-layer has a graded optical gap2 that ranges from -1.45 eV to -1.70 eV and contains on average -40 at.% germanium. The /-layers of the front and back junctions
1
These numerical values are sensitive to the solar spectrum used in the calculation, and to whether series connection is assumed or not. 2 The Ge content of a-SiGe:H layers may be graded in an attempt to enhance carrier collection by band-gap grading.
C. R. Wronski and D. E. Carlson
224
are both -150 nm thick, and are chosen so that the currents from the two junctions are almost the same in the degraded steady state. In fact, the best stabilised performance is usually obtained when the current from the back junction is slightly larger than that of the front junction in the degraded steady state. The back contact is formed by first depositing about 100 nm of ZnO by LPCVD or by sputtering and then coating this layer with about 300 nm of aluminium by magnetron sputtering. In general, tandem devices take longer to make than single-junction devices, but exhibit better stabilised performances. BP Solarex tandem PV cells and modules typically exhibit light-induced degradation of 13-17%.
5.6.4 Triple-junction structures As Table 5.1 shows, the highest initial and stabilised conversion efficiencies for a-Si solar cells have been obtained using triple-junction structures (Guha et al., 1999). The best triple-junction cells have been fabricated on stainless steel foil substrates coated with layers of textured silver and zinc oxide, as shown in Fig. 5.16. (In commercial product, the back reflector consists of sputtered layers of aluminium and zinc oxide.) A phosphorus-doped a-Si:H w-layer (about 20 nm thick) is deposited on the zinc oxide, and then an a-SiGe:H /-layer with a graded germanium concentration is deposited on the n-layer. The triple-junction structure contains two 'tunnel' junctions each consisting of -10 nm of boron-doped microcrystaliine Si:H and -10 nm of phosphorus-doped a-Si:H. light
'Silver grid
_T~L indium tin oxide
-p-layer a-Si /-layer - tunnel junction a-SiGe /-layer • tunnel junction a-SiGe /-layer zinc oxide textured silver
- n-layer
stainless steel
Figure 5.16
A schematic of a triple-junction device structure fabricated on a stainless steel substrate.
225
Amorphous Silicon Solar Cells
The middle junction also consists of an a-SiGe:H /-layer with a graded germanium concentration, but the average germanium content is reduced as compared to the first a-SiGe:H junction (the back junction). The front junction contains an Mayer of undoped a-Si:H deposited by glow discharge decomposition containing of silane heavily diluted in hydrogen. (As mentioned earlier, hydrogen dilution is now widely used to deposit high-quality films of both a-Si:H and a-SiGe:H.) The thicknesses of the top, middle and back junctions in a triple-junction structure are about 100, 110 and 130 nm, respectively. The p-layer of the top junction contains -10 nm of borondoped microcrystalline Si:H. The top contact is formed by depositing an antireflecting layer of indium tin oxide and then a current-collecting silver grid.
5.7 PV modules 5.7.1 The commercialisation effort A number of companies are involved in developing and commercialising a-Si PV technology. Table 5.2 lists some of the more significant commercialisation efforts, along with some information on the types of PV modules produced. There are also many other organisations such as universities and government laboratories involved in research and development on a-Si alloys and devices for PV applications. In addition, there are a large number of other organisations performing research and development and commercialising a-Si technology for other applications such as thinfilm transistors (for liquid crystal displays), sensors and other electronic devices. Table 5.2
Companies commercialising a-Si PV technology Best stabilised efficiency (module Company Module configuration area)
ASE GmbH Fuji Electric Kaneka Intersolar Iowa Thin Films Sanyo BP Solarex USSC
-5-6% (0.6 m2) 7.3% (0.32 m2) 8.1% (0.414 m2) - 5 % (0.28 m2) ~6%(~0.1m 2 ) 9.5% (0.12m2) 8.1% (0.36 m2) 10.1% (0.09 m2)
Same gap tandem on glass Same gap tandem on plastic Single-junction on glass Single-junction on glass Same gap tandem on plastic Tandem on glass Tandem on glass Triple-junction on steel
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Commercial production of a-Si solar cells was initiated by Sanyo Corporation in 1980 for use in solar-powered calculators. During the 1980s and early 1990s, manufacturing plants were set up in various parts of the world by companies such as Arco Solar, Chronar, Energy Conversion Devices, Fuji Electric, Sanyo, Sharp, Solarex, Solems and Utility Power Corporation. Most of these plants were designed to produce single-junction a-Si solar cells and had annual capacities of about 1 MWP. More recently several companies have built multi-megawatt plants to manufacture a-Si PV modules, and others have announced plans to build even larger-scale manufacturing facilities (see Table 5.3). Table 5.3
Large-scale a-Si PV manufacturing plants
Company
Plant capacity (MWp/yr)
Date operational
Module configuration
BP Solarex USSC Canon Kaneka Sharp
10 5 10 20 6
1997 1997 1998 2000 1999
Tandem on glass Triple-junction on steel Triple-junction on steel Single-junction on glass Tandem on glass
5.7.2 Modules on glass substrates Most a-Si PV modules are fabricated on glass substrates. Glass is a relatively inexpensive, widely used material with excellent long-term resistance to weathering and environmental effects. While it is susceptible to breakage if not handled properly, it can be strengthened by thermal tempering or chemical ion exchange processes. In recent years, some glass companies have started commercial production of glass coated with textured tin oxide. Figure 5.17 shows the layout of the BP Solarex a-Si PV manufacturing plant in Toano, Virginia (Forrest, 1997). The substrates are 3 mm thick plates of float glass (26" x 48") coated with textured tin oxide, which are currently supplied by AFG Corporation. The edges of the plates are seamed to control the size and to also remove microcracks. The plates are washed before applying a silver frit to act as bus bars for electrical contacts. The frit is then cured by heating the plates to a temperature of about 500 C in a belt furnace.
227
Amorphous Silicon Solar Cells
Module load station Solar simulator |
|
Bed of nails I
j
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|
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l
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Vertical a-Si/ZnO deposition system
Figure 5.17
Schematic of the BP Solarex TF1 plant in Toano, Virginia. After Forrest (1997).
The tin oxide is then scribed into a series of parallel strips ~9 mm wide using a Nd-YAG laser that is frequency doubled to produce a green laser beam about 15 microns in diameter. For high-voltage modules (V^ > 200 V), the tin oxide is scribed into 143 separate strips running along the short dimension of the plate that define the individual cells. The plates are washed before being loaded into a multi-chamber deposition system that coats the plates with all the semiconductor layers shown in Fig. 5.15, including the ZnO layer. Each chamber of this system can hold four plates at a time in a vertical orientation. Seven of the twelve chambers are used to deposit amorphous and microcrystalline Si:H alloys by DC plasma-enhanced chemical vapour deposition (PECVD), one chamber is used to deposit ZnO by low-pressure CVD, and the other chambers act as buffers to minimise cross contamination. After exiting the vertical deposition system, the a-Si and ZnO layers are scribed with another Nd-YAG laser. These scribes are located several tens of microns to one side of the tin oxide scribes (see Fig. 5.18) and are performed at a lower power density so as to not scribe the tin oxide layer itself. The plates are then coated with about 300 nm of aluminium by magnetron sputtering before performing another laser scribe that removes the a-Si, the ZnO and the Al in a region to one side of the earlier scribes. This last scribe (the metal laser scribe) completes the series connection as shown in Fig. 5.18, since the front contact of each strip cell is connected in series to
228
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E. Carlson
silicon dioxide tin oxide
back contact
Figure 5.18 Schematic of the BP Solarex series-connected tandem device structure. The series connection is made by the back («) contact of one cell to the tin oxide (p) contact of the adjacent cell. The indentation is a result of sequential scribing and represents the thickness of the cell that was removed to form (isolated) adjacent cells.
the back contact of the next adjacent cell by the aluminium deposited in the amorphous silicon scribe. Next, a final laser scribe is made at a relatively high power around the perimeter of the module to ensure electrical isolation. The modules are then cleaned in an ultrasonic bath to remove all debris before passing to a bed-of-nails station that applies a reverse bias to electrically cure cells that are excessively leaky due to small shorts (Nostrand and Hanak, 1979). After electrical curing, the performance of the modules is tested using a solar simulator. The modules are then completed by encapsulating a back plate of float glass to the front plate with ethyl vinyl acetate (EVA), attaching lead wires and mounting the module in a frame. In some applications, a frame is not needed or is supplied by the customer. The completed modules then undergo a final power test before being shipped to customers. This manufacturing process is capable of producing tandem modules with relatively high yields, as shown in Fig. 5.19 for a run of 4 ft2 modules made in a pilot manufacturing mode. In this pilot run of more than 160 modules, the average initial conversion efficiency was 8.9% with only a few modules falling outside the control limits of 8.1% and 9.8%. (Single-junction modules were also produced with high electrical yields (-95%) over a period of about 5 years at the Solarex facility in Newtown, PA before being phased out in 1998.)
Amorphous Silicon Solar Cells
229
I Figure 5.19
100 Run number A run chart showing the initial efficiency of 4 ft2 tandem modules vs. run number.
5.7.3 Modules on metal substrates Table 5.4 Manufacturing steps for USSC triple-junction modules on steel substrates Process step Process step description no. 1 2 3 4 5 6 7 8 9 10 11 12 13 14
The roll of stainless steel foil is washed, rinsed and dried. Al and ZnO are sequentially deposited by magnetron sputtering. a-Si and ^c-Si alloy layers are deposited by RF PECVD. ITO is deposited by magnetron sputtering. The roll is cut into slabs. Slabs are processed to define cell size. Slabs are passivated to remove shunts. Slabs are tested to determine device quality. Conductive pads and grid wires are applied. Slabs' are cut into predetermined cell sizes. Cells are interconnected. Cell block is laminated. Modules are framed and junction boxes are added. Modules undergo highpot and performance tests.
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C. R. Wronski and D. E. Carlson
Table 5.4 shows the various steps in the USSC manufacturing process for producing a-Si triple-junction modules on stainless steel foil (Guha et al, 1999). A roll of stainless steel foil is first washed in a wash machine, where it is also rinsed in deionised water and dried in an infrared oven. The roll is then loaded into a magnetron sputtering machine where aluminium and zinc oxide are sequentially deposited to form a highly reflective back contact. In the next step, the roll is loaded into a ninechamber, in-line PECVD system where the a-Si and pic-Si alloy layers are deposited continuously on the moving foil. The roll is then loaded into another magnetron sputtering machine where a layer of indium tin oxide (ITO) is deposited. This ITO layer acts as both a top electrical contact and an antireflection coating. The roll of foil is then moved to a semi-automated module assembly area where the foil is cut into 9.4" x 14" slabs. The slabs are processed to remove shunts and to define the specific cells before attaching electrodes and cutting the cells. The individual cells are then interconnected and laminated into a module. The module is completed by adding a frame and a junction box. The modules are subjected to a high-voltage test, and the output power is measured under simulated sunlight before shipping to customers. USSC reports that the stabilised aperture-area efficiency for these products is about 7.5% (Guha et al, 1999).
5.7.4
Modules on plastic substrates
The various steps in the manufacturing process used by Iowa Thin Film Technologies for producing a-Si tandem modules on plastic substrates are listed in Table 5.5 (Braymen et al, 1999). As a substrate material, Iowa Thin Film uses a polyimide plastic film that can tolerate temperatures of about 250 C and does not outgas significantly in a vacuum. They deposit an Al film as a back contact layer and then a same band-gap, a-Si tandem structure. A Nd-YAG laser is used to scribe through both the Al and the a-Si layers to define the individual cell segments. They then use screen-printing to place an insulating ink in the laser scribe and also a second strip of insulating ink in a region to one side and parallel to the laser scribe. Next, ZnO is sputtered onto the substrate, and then a conductive (Ag) ink is placed in the region over the laser scribe (which was previously filled with the insulating ink). A laser is then used to scribe the ZnO in the region above the second insulating ink strip. The series interconnection is completed by using a laser to weld or fuse the Ag ink to the bottom Al contact of the adjacent cell.
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Table 5.5 Manufacturing steps for tandem modules made by Iowa Thin Film Technologies on plastic substrates Process Process step description step no. 1 2 3 4 5 6 7 8 9 10 11 12 13 14
The roll of polyimide is washed. Al is sputtered deposited on the polyimide. a-Si layers are deposited by RF PECVD. Both the Al and the a-Si layers are scribed by a laser. Insulating ink is screen-printed in strips in the interconnect region. ZnO is deposited by sputtering. Ag ink grid lines are screen-printed in the interconnect region. The ZnO is laser scribed. A laser is used to weld the Ag ink to the Al bottom contact. Bus bars are attached to the modules. Modules are laminated. Modules are cut from the roll. Modules are framed and wired. Modules undergo performance tests.
Bus bars are attached to the modules while they are still on the roll. The modules are laminated to a Tedlar sheet using a roll-based laminator and then cut into individual modules before being framed, wired and tested. Amorphous silicon modules made on plastic substrates are lightweight and flexible and are used in a number of consumer applications.
5.8
Manufacturing costs
In past years, a number of organisations have estimated that the total cost of manufacturing a-Si PV modules should be less than $1/WP once the production volume of the plants reaches about 10 MWp per year (Carlson, 1989). More recently, Woodcock et al. (1997) have analysed the manufacturing costs for the three leading thin-film PV technologies—a-Si, copper indium diselenide (CIS), and cadmium telluride (CdTe)—at production volumes of 60 MWP /yr. As shown in Fig. 5.20, the projected manufacturing costs are significantly less than $1/Wp in each case. It is interesting to note that at a production volume of 60 MWp/yr, the materials costs are more than half of the total manufacturing costs in each case. As improvements are
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Figure 5.20 Projected manufacturing costs for a-Si, CIS and CdTe thin film PV modules made in plants with 60 MWp /year capacity. Source: Woodcock el al. (1997).
made in thin-film PV manufacturing technology and as the plants become even larger, the labour costs and the fixed costs should decline even further so that materials costs will become the major factor limiting further cost reductions. For a-Si tandem modules, the major cost elements are currently the framing, the encapsulation and the tin oxide-coated glass. The framing and encapsulation alone account for about 37% of the total manufacturing cost for 8 ft2 tandem modules, while the tin oxide coated glass substrate and back glass plate constitute ~23% of the total cost. The semiconductor feedstock materials constitute much smaller percentages, with germane accounting for about 13% and silane only about 2% of the total cost. At present the utilisation of feedstock gases in commercial PECVD reactors is poor, with no more than a few percent of the silicon or germanium winding up in the a-Si alloy films. If the utilisation could be improved to about 70% or better, then the cost for the semiconductor materials would be less than $0.02/Wp.
5.9
Long-term reliability
All commercial PV modules are periodically subjected to a series of accelerated environmental tests to assure long-term reliability. BP Solarex a-Si tandem PV modules are subjected to the series of tests shown in Fig. 5.21. Some of the more critical tests are the wet hi-pot test, the thermal cycle test, the temperature humidity test and the light-soak test.
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The environmental test sequence used for BP Solarex thin-film PV modules.
Since some modules will be used in high-voltage, grid-connected applications, they must be able to pass the wet hi-pot test. In some grid-connected systems, the array voltage can be greater than 1000 V so modules must exhibit a leakage current of less than 50 /lA while wet and with an applied voltage greater than twice the array voltage plus 1500 V. Because of this stringent requirement, BP Solarex tandem modules are encapsulated in EVA between two sheets of glass. This type of module passes all the accelerated environmental tests shown in Fig. 5.21. Two critical tests that check the integrity of the module against moisture penetration are the thermal cycle test and the humidity freeze test. The former involves 50 cycles between -40 C and 90 C, and the latter 10 cycles between -40 C and 85 C at 85% humidity.
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600
700
800
Wavelength (nm) Figure 5.22
Spectral response of a tandem cell before and after 20 hours at 180 C.
The BP Solarex tandem structure is quite stable with respect to thermal degradation. Unlike earlier a-Si solar cells with an Al rear contact, which exhibited degradation effects at temperatures of -130C (Willing et al., 1987), there are no significant thermal degradation effects associated with the Sn0 2 or ZnO contacts used in the present structure. However, the tandem cells will start to show some degradation when heated for prolonged times at temperatures on the order of 180 C. Figure 5.22 shows the change in spectral response of a tandem cell on heating for 20 hours at 180 C in the dark. As observed in earlier work (Carlson and Rajan, 1995), the a-Si front junction exhibits a loss in quantum efficiency, mainly in the shortwavelength regime, due to hydrogen motion. The a-SiGe back junction shows a loss in quantum efficiency that is more evenly distributed over its response spectrum. After 20 hours at 180 C, the efficiency decreased by only 2.2%. The thermal degradation increases dramatically with further increases in temperature. After 150 minutes at 220 C, the conversion efficiency typically falls about 15% with about half the loss due to degradation in the fill factor. Since the activation energy for thermal degradation in the dark is -1.7 eV (Carlson and Rajan, 1995), this degradation is negligible under normal operating conditions. Light soaking of a-Si modules is another critical test since all a-Si devices exhibit light-induced degradation arising from the Staebler-Wronski effect (Staebler and Wronski, 1977). This degradation can be enhanced by contaminants in the Mayers or at interfaces, and some recent work (Carlson and Ganguly, 2000) shows that irreversible light-induced degradation can be caused by trace amounts of boron in the Mayer. BP Solarex tandem modules typically exhibit about 13-17% degradation on
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Amorphous Silicon Solar Cells 4
3
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2
1
0 0
5
10
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Figure 5.23 A histogram showing the degradation experienced by twelve 4 ft2 tandem modules after exposure to 600 hours of simulated sunlight.
light soaking, but this can increase to 20-25% if contaminants are present. Figure 5.23 shows the distribution of the degradation suffered by twelve BP Solarex a-Si tandem modules (4 ft2) subjected to simulated sunlight for 600 hours. On average, these modules degraded by only about 12.9%. In general, light-induced degradation of a-Si PV modules saturates or reaches a steady state after about 10 to 10 hours of exposure to sunlight, depending on the deposition conditions. Saturation occurs in ~102 hours for a-Si single-junction modules grown in discharge atmospheres that contain silane heavily diluted in hydrogen. Once the modules reach steady state, the conversion efficiency then exhibits normal seasonal variations due to changes in the average ambient temperature and seasonal changes in the solar spectrum.
S.10
Environmental issues
Photovoltaic solar energy is viewed by many as an ideal way to produce power from a virtually inexhaustible energy source without noise or pollution. However, there are environmental issues that must be addressed to assure a trouble-free future for PV. The entire process of mining and refining raw materials, manufacturing PV modules and handling of obsolete product must be designed not only for low cost, but also for the environment. If module processing requires the use of toxic materials, then systems and procedures must be established to minimise the risk to employees. In the manufacture of a-Si PV devices, BP Solarex uses toxic doping gases such as diborane and phosphine only in a diluted form (-1-20 vol.% in silane). Trimethylboron (-1-5 % in
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silane) is also used as a p-type dopant source and is less toxic than diborane. Silane is pyrophoric, so if a leak develops the dopant gas will be oxidised in the flame and a silicate glass powder will be formed, thus reducing the toxicity hazard. The silane and germane feedstock gases at the BP Solarex TF1 plant in Virginia are stored in an outdoor holding area and fed into the facility through stainless steel pipes. All exhaust gases are passed through a burn box and the powder is collected in a bag house for disposal. The powder consists mainly of silicon dioxide fused with small amounts of oxides of germanium, boron and phosphorus. Since all module interconnections are made using lasers, there are no wet chemicals such as acids or solvents used in the BP Solarex manufacturing process for tandem modules. Thus, there are no harmful waste products or effluents produced in the manufacturing process. In addition, since a-Si PV modules do not contain any toxic materials, there are no environmental risks associated with fires or with longterm disposal in landfills.
5.11
Challenges for the future
While a-Si photovoltaics has the potential to become a major source of low-cost electricity worldwide in the next few decades, the fulfillment of this potential depends on continued progress in improving the stabilised performance, reducing the total manufacturing cost and establishing the infrastructure necessary to create large-scale markets. There is tremendous potential to reduce the total system cost of thin-film PV arrays significantly by integrating them into new buildings. This can be accomplished by designing the modules to function as PV roofs or windows. The PV system cost is reduced since there is no need for land and support structures, and most of the material and labour can be credited against the cost of the building, as discussed in Chapter 15. Improvements in stabilised performance will require a better understanding of the growth kinetics, the nature of the intrinsic defects and the role of hydrogen in a-Si alloys. While a-Si alloys can be grown by a number of different techniques such as DC PECVD, RF PECVD, electron cyclotron resonance remote plasmas, hot-wire CVD, photo-CVD and sputtering in argon-hydrogen atmospheres, it is not clear what precursors or conditions are necessary to assure the best-quality films. Moreover, there is still no consensus on the microscopic origin of the Staebler-Wronski effect, or on the role of hydrogen in determining the metastability or doping efficiency of aSi alloys. Thus, there is a clear need for further experimental and theoretical work on understanding the growth and the microscopic nature of the defects in a-Si alloys.
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While today's multijunction a-Si PV cells degrade by only -10-17% under prolonged light exposure, the efficiency could be greatly improved if the lightinduced degradation could be significantly reduced or eliminated. This is because the Mayers of current a-Si cells have to be quite thin to minimise the degradation. Conversion efficiencies of 17-20% might be possible with multijunction a-Si-based structures if the a-Si alloy j'-layers could be made thicker while remaining stable. While improving the stabilised performance would lead to lower manufacturing costs on a $/Wp basis, increasing the throughput will lower the costs associated with labour and overhead. The throughput of a-Si PV manufacturing plants is limited mainly by the deposition rate of the a-Si alloys. Currently, these are deposited at rates of about 0.1 nm s"' in most commercial manufacturing processes. Since about half of the cost of an a-Si PV manufacturing plant is associated with the cost of the a-Si deposition machine, a doubling of the throughput of that machine would significantly lower the capital cost of the plant on a $ per Wp of capacity basis. A number of organisations are investigating the rapid deposition of a-Si alloys by techniques such as hot-wire CVD, high frequency PECVD etc. The major challenge is to increase the deposition rate without increasing the concentration of the intrinsic and the metastable defects that lead to a reduction in stabilised performance. Another challenge is to understand the additional defects created when alloying aSi with germanium or carbon. The defect density increases when either of these is added to a-Si, and changes are observed in the kinetics of the light-induced degradation. It appears that additional defects associated with clustering or hydrogen complexes are introduced, but there is no detailed microscopic model or theory to account for these effects. Improvements in the microstructure of a-Si alloys should lead to further improvements in stabilised module performance. Significant progress has been made in recent years in developing high-quality films of more ordered a-Si:H, protocrystalline and microcrystalline silicon, and even thin polycrystalline silicon films. These materials have some significant advantages over other thin-film materials for PV applications. Silicon is very abundant and does not pose any environmental hazards. Moreover, especially in the case of a-Si alloys, the films are very easy to deposit with good uniformity over large areas. In summary, while amorphous and microcrystalline silicon alloy materials are complex and poorly understood, there are a large number of talented scientists and engineers in laboratories around the world who are working to make the promise of low-cost photovoltaic electricity a reality. It is this large pool of experienced,and talented people that makes it highly probable that this goal will be achieved in the next few decades.
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Carlson D. E. and Rajan K. (1998), 'Evidence for proton motion in the field-induced recovery of light-induced degradation in amorphous silicon solar cells', J. Appl.Phys. 83, 1726-1729. Carlson D. E. and Ganguly G. (2000), to be published. Chittick R. C , Alexander J. H. and Sterling, H. E. (1969), 'The preparation and properties of amorphous silicon', J. Electrochem. Soc. 116,77-81. Collins R. W. (1994), 'Real time spectroscopic ellipsometry studies of the nucleation, growth and optical functions of thin films. Part 1: tetrahedrally bonded materials', in Physics of Thin Films, Vol. 19, Academic Press, New York, 49-125. Collins R. W. and Vedam K. (1995), 'Optical properties of solids', in Encyclopedia of Applied Physics, Vol. 12, Trigg G. L., ed., VCH Publishers, New York, 285-336. Collins R. W. and Fujiwara H. (1997), 'Growth of hydrogenated amorphous silicon and its alloys', Current Opinion in Solid State & Material Science 2, 417-424. Dawson R. M., Li Y., Gunes M., Nag S., Collins R. W., Bennett M. and Wronski C. R. (1992), 'Optical properties of the component materials in multijunction hydrogenated amorphous silicon-based solar cells', Proc. 11th. European Photovoltaic Solar Energy Conf, Montreux, Harwood Academic Publishers GmbH, Chur, Switzerland, 680-683. Deckman H., Wronski C. R. and Yablonovitch E. (1984), 'Optical enhancement of solar cells', Conf. Record 17th. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 955-960. Forrest H. (1997), 'Efforts on commercialization of amorphous thin-film technology', Proc. 14th. European Photovoltaic Solar Energy Conf, Barcelona, H. S Stephens & Associates, Bedford, 2018-2020. Fritzsche H. (1997), 'Search for explaining the Staebler-Wronski effect', Mat. Res. Soc. Symp. Proc. 467, 19-31. Ganguly G. and Matsuda A. (1996), 'Role of hydrogen dilution in improvement of aSiGe:H alloys', J. Non-Cryst. Solids 198-200, 559-562. Guha S., Yang J., Pawliklewicz T., Glatfelter T., Ross R. and Ovshinsky S. R. (1989), 'Band-gap profiling for improving the efficiency of amorphous silicon alloy solar cells', Appl. Phys. Lett. 54, 2330-2332. Guha S. (1996), 'Amorphous silicon alloy solar cells and modules—opportunities and challenges', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 1017-1022. Guha S., Yang J., Banerjee A., Hoffman K. and Call J. (1999), 'Manufacturing issues for large volume production of amorphous silicon alloy photovoltaic modules', AIP Conf. Proc. 462, 88-93.
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Hanak J. J. and Korsun V. (1982), 'Optical stability studies of a-Si:H solar cells', Conf. Record 16th. IEEE Photovoltaic Specialists Conf., San Diego, IEEE Press, Piscataway, 1381-1383. Hirose M. (1984), 'Glow discharge', in Semiconductors and Semimetals Vol. 21A, Pankove J. I., ed., Academic Press, Orlando, 9-39. Ichikawa Y., Fujikake S., Takayama T., Saito S., Ota H., Yoshida T., Ihara T. and Sakai H. (1993), 'Large-area amorphous silicon solar cells with high stabilized efficiency and their fabrication technology', Conf. Record 23rd. IEEE Photovoltaic Specialists Conf., Louisville, IEEE Press, Piscataway, 27-33. Jackson W. B., Biegelsen D. K., Nemanich R. J. and Knights J. C. (1983), 'Optical absorption spectra of surface or interface states in hydrogenated amorphous silicon', Appl. Phys. Lett. 42,105-107. Jiao L., Liu H., Semoushikina S., Lee Y. and Wronski C. R. (1996a), 'Importance of charge defects in a-Si:H materials and solar cell structures', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 1073-1076. Jiao L., Liu H., Semoushikina S., Lee Y. and Wronski C. R. (1996b), 'Initial, rapid light-induced changes in hydrogenated amorphous silicon materials and solar cell structures: the effect of charged defects', Appl. Phys. Lett. 69, 3713-3715. Kamei T., Hata N., Matsuda A., Uchiyama T., Amano S., Tsukamoto K., Yoshioa Y. and Hirao T. (1996), 'Deposition and extensive light soaking of highly pure hydrogenated amorphous silicon', Appl. Phys. Lett. 68, 2380-2382. Koh J., Lee Y., Fujiwara H., Wronski C. R. and Collins R. W. (1998), 'Optimization of hydrogenated amorphous silicon p-i-n solar cells with two-step i layers guided by real-time spectroscopic ellipsometry', Appl. Phys. Lett. 73, 1526-1528. Koval R. J., Koh J., Lu Z., Lee Y., Jiao L., Collins R. W. and Wronski C. R. (1999), 'Performance and stability of Si:H p-i-n solar cells with i layers prepared at the thickness-dependent amorphous-to-microcrystalline phase boundary', Appl. Phys. Lett. 75, 1553-1555. Lee Y., Jiao L., Liu H., Lu Z., Collins R. W. and Wronski C. R. (1996), 'Stability of a-Si:H solar cells and corresponding intrinsic materials fabricated using hydrogen diluted silane', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 1165-1168. Lee Y., Ferlauto A. and Wronski C. R. (1997), 'Contributions of bulk, interface and build-in potential to the open-circuit voltage of a-Si:H solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 683-686.
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Lee Y., Ferlauto A.S., Lu Z., Koh J., Fujiwara H., Collins R. W. and Wronski C. R. (1998), 'Enhancement of stable open circuit voltage in a-Si:H p-i-n solar cell by hydrogen dilution of pli interface regions', Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, European Commission, 940-943. Lu Y., Kim S., Gunes M., Lee Y., Wronski C. R. and Collins R. W. (1994), 'Process property relationships for a-Sii_^C^:H deposition: excursions in parameters space guided by real time spectroellipsometry', Mat. Res. Soc. Symp. Proc. 336, 595-600. Lu Z., Jiao H., Koval R., Collins R. W. and Wronski C. R. (1999), 'Characteristics of different thickness a-Si:H/metal Schottky barrier cell structures—results and analysis', Mat. Res. Soc. Symp. Proc. 557, 780-785. Nostrand G. E. and Hanak J. (1979), 'Method of removing the effects of electrical shorts and shunts created during the fabrication process of a solar cell', U.S. Patent No. 4,166,918. Powell M. J. and Dean S. C. (1993), 'Improved defect pool model for charged defects in amorphous silicon', Phys. Rev. B 48, 10815-10827. Roxlo C , Abeles B., Wronski C. R., Cody G. D. and Tiedje T. (1983), 'Comment on optical absorption edge in a-SiiH/, Solid State Commun. 47, 985-987. Shah A., Kroll U., Keppner H., Meier J., Torres P. and Fischer D. (1996), 'Potential of VHF-plasma for low-cost production of a-Si:H solar cells', Proc. 9th. Int. Photovoltaic Sci. Eng. Conf., 267-270. Spear W. E. and LeComberP. G. (1975), 'Substitutional doping of amorphous silicon', Solid State Commun. 17, 1193-1196. Staebler D. L. and Wronski C. R. (1977), 'Reversible conductivity change in discharge produced amorphous silicon', Appl. Phys. Lett. 31, 292-294. Staebler D. L. and Wronski C. R. (1980), 'Optically induced conductivity changes in discharge-produced hydrogenated amorphous silicon,' J. Appl. Phys. 51, 32623268. Stutzmann M.(1997), 'Microscopic aspects of the Staebler-Wronski effect', Mat. Res. Soc. Symp. Proc. 467, 37-48. Tanaka K. and Matsuda A. (1987), 'Glow-discharge amorphous silicon: growth process and structure',Mat Sci. Report!, 139-184. Tanaka M., Toguchi M., Matsuyama T., Sawada T., Tsuda S., Nakano S., Hanafusa H. and Kuwano Y. (1992), 'Development of new a-Si/c-Si heterojunction solar cells: ACJ-HIT (artificially constructed junction-heterojunction with instrinsic thin-layer)', Jpn. J. Appl. Phys. 31, 3518-3522. Tauc J., Grigorovici R. and Vancu A. (1966), 'Optical properties and electronic structure of amorphous germanium', Phys. Stat. Solidi 15, 627-631.
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Tiedje T. (1984), 'Information about band-tail states from time-of-flight experiments', in Semiconductors and Semimetals, Vol. 21C, Pankove J. I., ed., Academic Press, Orlando, 207-238. Tsuda S., Takahama T., Hishikawa Y., Tarui H., Nishiwaki H., Wakisaka K. and Nakano S. (1993), 'A-Si:H technologies for high efficiency solar cells', J. NonCryst. Solids 164-166, 679-684. Uchida Y. (1984), 'DC glow discharge', in Semiconductors and Semimetals, Vol. 21A, Pankove J. I., ed., Academic Press, Orlando, 41-54. Watanabe T., Azuma K., Nakatani M., Suzuki K., Sonobe T. and Shimada T. (1986), 'Chemical vapor deposition of a-Si:H films utilizing a microwave excited Ar plasma stream', Jpn. J. Appl. Phys. 25-12, 1805-1810. Willing F., Bennett M. and Newton J. (1987), 'Thermal stability of interconnected aSi:H solar modules', Conf. Record 19th. IEEE Photovoltaic Specialists Conf., New Orleans, IEEE Press, Piscataway, 1086-1089. Woodcock J. M., Schade H., Maurus H., Dimmler B., Springer J. and Ricaud A. (1997), 'A study of the upscaling of thin film solar cell manufacture towards 500 MWp per annum', Proc. 14th. European Photovoltaic Solar Energy Conf., Barcelona, H. S. Stephens & Associates, Bedford, 857-860. Wronski C. R., Carlson D. E. and Daniel R. E. (1976), 'Schottky barrier characteristics of amorphous silicon diodes', Appl. Phys. Lett. 29, 602-605. Wronski C. R., Abeles B., Tiedje T. and Cody G. D. (1982), 'Recombination centers in phosphorus-doped hydrogenated amorphous silicon', Solid State Commun. 44, 1423-1426. Wronski C. R. (1984), 'The Staebler-Wronski effect', in Semiconductors and Semimetals, Vol. 21C, Pankove J. I., ed., Academic Press, Orlando, 347-373. Wronski C. R. (1996), 'Amorphous silicon technology: coming of age', Solar Energy Mat. Solar Cells 41-42, 427-439. Wronski C. R. (1997), 'The light-induced changes in a-Si:H materials and solar cells—where we are now', Mat. Res. Soc. Symp. Proc. 467, 7-17. Wronski C. R., Lu Z., Jiao L. and Lee Y. (1997), 'An approach to self-consistent analysis of a-Si:H material and p-i-n solar cell properties', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 587-590. Yablonovitch E. and Cody G. D. (1982), 'Intensity enhancement in textured optical sheets for solar cells', IEEE Trans. Electron Devices 29, 300-305. Yang J. and Guha S. (1992), 'Double-junction amorphous silicon-based solar cells with 11% stable efficiency', Appl. Phys. Lett. 61, 2917-2919
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CHAPTER 6
CADMIUM TELLURIDE SOLAR CELLS DIETER BONNET ANTEC GmbH, D-65779 Kelkheim, Germany
Will you walk into my wavetrap? said the spiter to the shy. James Joyce, Finnegans Wake, 1939.
6.1 Introduction Until today, silicon has been used as base material for photovoltaic solar energy conversion with increasing success, albeit at relatively high cost. Only three additional semiconductors have shown real promise for replacing silicon as the primary material for PV power generation: amorphous silicon, CdTe and Cu(In,Ga)Se2. Other materials, including Se, Cu2S, Cu 2 0, InP, CdSe and Zn3P2, have been studied, but, because of disappointing results or high cost, are no longer intensively investigated. Only GaAs is being developed and used for special applications, where very high efficiency is required in spite of high cost. The discussion which follows describes the technical status and industrial prospects of CdTe thin-film solar cells. From its basic physico-chemical properties CdTe is an optimum material for use in such cells. Work to master the technology for large-scale production has been highly successful. The market introduction of commercial products is imminent. Thin-film solar cells are large area diodes tailored to enable and maximise the absorption of light within a short distance from its space-charge region. The absorbed photons create electron-hole pairs. The potential energy of an excited (minority) carrier is converted into electrical energy as it is swept through the built-in electric field of the diode. The separation from its opposite (majority) charge carrier leads to an electric voltage, which can drive a current through an external circuit, such as an electric motor. As a minority carrier device, a solar cell requires a material of good electronic base properties—mainly high minority carrier lifetime and mobility. This can be achieved only by good crystalline properties, chemical purity, suitable doping and low-resistance contacting. Although there are several varieties of solar cells, the following general description applies most directly to thin-film solar cells in which the diode is created by two materials designated as the window layer and the absorber—'heterojunction'
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devices. The field region is generated at the interface between window and absorber and mainly resides in the absorber. In our case CdTe is the absorber.
6.2 Early work There have been many efforts in the past 35 years to design and realise good junctions to CdTe films for extraction and collection of light-generated charge carriers (Bube, 1988). In the case of thin-film CdTe p-n homojunctions, there has been very limited success, because of strong light absorption in CdTe, a direct-gap semiconductor, coupled with a high surface recombination rate that severely limits the minority carrier lifetime and results in low quantum efficiencies. Furthermore, it is difficult to manufacture CdTe p-n junctions in thin-film form as the interdiffusion of doping species along grain boundaries degrades and distorts the junction. CdTe tends to beptype and is difficult to manufacture in n-conducting form and therefore an n-type heterojunction partner is required in order to induce a strong space-charge region as a prerequisite for good efficiency. Heteroj unctions are therefore the most promising configuration. The first heteroj unction was the n-CdTe//?-Cu2Te junction (analogous to the CdS/Cu2S solar cell under study at that time: Cusano, 1963). Although efficiencies around 7% were achieved, stability problems arising from the diffusion of Cu stopped further development of this cell structure. A heteroj unction partner with wider bandgap than CdTe allows light to enter the CdTe material more readily, by the so-called 'window effect'. Around 1970, a new heteroj unction was identified for CdTe with CdS as the n-partner (Bonnet and Rabenhorst, 1972), and this has had much success. Over the course of time, a concentration process has taken place so that most research and commercial interest is now focussed on CdTe/CdS p-n heterojunctions. The rationale for this selection is discussed below, but it should be admitted that it is at least partly empirical {i.e. 'the CdTe/CdS structure works').
6.3 The potential of the base material 6.3.1 Energy gap CdTe has an energy gap of 1.45 eV, and is therefore very well adapted to efficient conversion of solar light into electricity. Furthermore, the energy gap is 'direct', resulting in an absorption coefficient of >105 cm"1 for visible light, so that the absorber layer needs to be only a few /xm thick to absorb >90% of photons at energies >1.45 eV.
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Cadmium Telluride Solar Cells
Current densities of 27 mA cm 2 and open-circuit voltages of 880 mV, leading to AM 1.5 efficiencies of 18.5%, can be expected for cells made from CdTe (Sites and Liu, 1995).
6.3.2 Thermodynamic properties The phase diagram of CdTe is reproduced in Fig. 6.1 (Zanio, 1978). Above 400 C, the stoichiometric compound is the stable solid phase, because the constituting elements have a significantly higher vapour pressure than the compound. In the high-temperature phase a slight nonstoichiometry is present in the form of a slight Cd deficiency, which leads to a native p-doping of the material. This property makes it relatively easy to produce CdTe films suited for thin-film solar cells. No excessive care has to be taken in 1200 1000
" 1
1
1 — ' 1092 ± 1°'
—1
1
1
Liquidus
_ - .
^^wLiquidus Solidus
o E £
. _ ^ -
600 449 + 2°
400
200
-
324 + 2°
• 0
i
I
i
10
20
30
I 40
50
'
60
1 70
1 80
1, 90
100
Atom fraction Te
Figure 6.1
Phase diagram of CdTe (from Zanio, 1978).
preparing the CdTe films as long as the substrate temperature is sufficiently high. CdTe or Cd + Te can be used as starting materials. The only requirement is the absence of disturbing impurities, which might impair the doping. In practice, the compound can easily be prepared in sufficiently high purity, as the constituting elements—Cd and Te—can easily be purified by standard chemical procedures. Due to the material's high ionicity (72%) (Hartmann et al., 1981), fewer dangling bonds occur at grain boundaries and crystallites tend to be well passivated. The energy of all photons in the solar spectrum is lower than the bond energy (5.75 eV) of CdTe, and this strong bonding leads to extremely high chemical and thermal stability. The
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D. Bonnet
energy of solar photons is used only for the photovoltaic effect or the generation of harmless phonons, and it cannot break chemical bonds and destabilise the material. 6.3.3 Crystal lattice The natural crystal lattice of CdTe (Fig. 6.2)—being formally cubic—is de facto hexagonal: if viewed perpendicular to the direction of the cubic 111 axis, stacked planes of hexagonally packed alternating Cd and Te layers can be identified. In most deposited CdTe films, these planes tend to lie in the plane of the substrate (the 111 axis being perpendicular to the substrate), leading to columnar growth of crystallites.
(a)
(b)
Figure 6.2 Crystal lattice of CdTe in (a) the cubic representation and (b) as seen perpendicular to the cubic (111) axis, illustrating its quasi-layer structure.
6.3.4 Growth and doping of films On heating in vacuum to about 700 C, CdTe sublimes congruently, liberating Cd and Te in equal amounts, the residue remaining stoichiometric CdTe. On arrival of Cd and Te on the substrate, even in a non 1:1 ratio, CdTe condenses stoichiometrically as long as the substrate is heated above 449 C, at which temperature excess Cd and Te are not stable (see Fig. 6.1). In many cases, films deposited at lower temperatures, and therefore not necessarily at stoichiometric ratio, can be heated to create the stoichiometric compound. This allows numerous film deposition technologies to be applied. Moreover, as the material grows natively p-doped in thin-film form, no additional doping has to be introduced. Oxygen, being isovalent with Cd, is not a critical impurity, and may even enhance p-doping (Tyan and Perez-Albuerne, 1982). In many cases, quite large crystallites (up to 10 fim in diameter) will grow. The best films have been grown at
249
Cadmium Telluride Solar Cells
substrate temperatures around 600 C and deposition rates of ~1 nm per minute (Ferekides etal., 1993).
6.4 Diodes and cells Like CdTe, CdS has a strong tendency to form stoichiometric films, but, unlike CdTe, CdS films are natively n-doped by a slight non-stoichiometry. CdS can be deposited by essentially the same techniques as CdTe, permitting compatibility of manufacturing. A potential disadvantage is that CdS has a significant lattice mismatch to CdTe. Fortunately, after the post-deposition treatments described below, the negative consequences of this are only mild. back contact
p-CdTe (3-5 prn)
l&
n-CdS(100nm)
i^sssssssssssssssssssssssssss'^a^TC0 < 200 nm >
incident light
Figure 6.3
Film sequence of the CdTe thin-film solar cell as used today.
The n-CdS/p-CdTe heterojunction solar cell must be illuminated through the CdS window, so that the light is absorbed in the CdTe close to the junction. In the preferred fabrication procedure, the n-CdS film is deposited onto a transparent conductive oxide (TCO) film, typically ln 2 0 3 or Sn0 2 . Next the CdTe is deposited onto the CdS, and finally a low-resistance contact is made to the CdTe followed by a back electrode, which can be opaque. Figure 6.3 shows the superstrate cell structure. Figure 6.4 shows the energy diagram of the heterojunction. CdS is heavily n-doped and its conductivity under cell operating conditions increases on illumination (an effect known as 'light doping'), whereas CdTe is lightly p-doped (typically to a level of p < 10IS cm"3). Therefore essentially all the electric field drops within the CdTe layer. This field extends to a depth of about 1 pm, a value comparable with the optical absorption length. Light-generated electrons in the CdTe experience a drift field and move toward the junction into the CdS. Due to the strong absorption of CdTe (a > 104
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D. Bonnet
conduction band
metal contact
Figure 6.4
Energy band diagram of the typical CdS/CdTe thin-film solar cell.
move toward the junction into the CdS. Due to the strong absorption of CdTe (a > 104 cm"1), the majority of electrons is generated in the field region of the CdTe layer and under influence of the field drift rapidly towards the junction. Hence charge separation does not have to rely on diffusion, which would be much less effective owing to the small lifetime (< 1 ns) of minority carriers in /?-CdTe. Electronic defects are primarily located at the metallurgical junction between CdS and CdTe, and these can act as recombination centres for minority carriers. Fortunately they can be significantly reduced in number by a special 'activation/passivation' step, discussed below in Section 6.5.3. As light-generated holes in CdS—being minority carriers in this layer—have a short lifetime and experience no drift field, they do not contribute to the photocurrent. Therefore the thickness of the CdS layer should be reduced as far as possible, to allow as much light as possible to penetrate through the CdS 'window' and enter the CdTe film. Interface states also act as recombination centres for the majority carriers (electrons in CdS and holes in CdTe) that cross the junction under forward bias. This leads to increased dark currents and thereby decreased photovoltage. It is thus evident that the action of defects must be reduced for optimum performance of the solar cell. It is also possible to make a CdTe substrate cell in which CdTe is laid down on a substrate and then n-CdS and TCO are added successively by deposition. However, the TCO-superstrate configuration is more successful, probably because of the material properties of the films involved. TCO is often deposited at temperatures above 600 C and is relatively stable with respect to typical CdTe device processing. Device-quality CdS is readily deposited onto the TCO, and CdTe deposition and post-processing
Cadmium Telluride Solar Cells
251
(which often requires heat treatments above 400 C) can be performed with minimal damage to the CdS. In fact, although there is some interdiffusion between CdS and CdTe, there is a miscibility gap between the two compounds that limits the composition of the alloy to a few percent substitution of either chalcogenide. The final step in the fabrication of the superstrate cell is the deposition of a low-loss electrical contact to CdTe. Although there are many ways of doing this, contact fabrication is typically the most delicate step and no contact processing temperatures exceed 270 C. Thus use of the TCO-superstrate configuration enables use of process steps with decreasing temperatures as the device is fabricated, whereas the alternative deposition sequence would require the relatively delicate CdTe contact to be made early in the fabrication process. These basic materials aspects have led to remarkable success in research organisations and universities. Indeed, then-record efficiencies of 15.8% were obtained on 1 cm2 cells (Ferekides et al., 1993). Recently a new record efficiency of 16.0% has been announced by Ohyama et al. (1997).
6.5 Cell production If CdTe thin-film solar cells are to become a commercially successful product, their promising basic properties have to be retained while meeting the following criteria: • • • • • •
high cell efficiency (10-15%) high module production speed (100,000 m2 p.a.) robust, forgiving manufacturing processes cheap substrate (commercial glass) low materials consumption (<10g m"2) long-term stability (20 years)
The following discussion shows that this can be achieved.
6.5.7 The CdS window layer The CdS film is photoelectrically inactive, but it absorbs a part of the light to be converted in CdTe below its absorption edge at 515 ran (2.45 eV). To maximise optical transmission of active light into the CdTe, the CdS film should therefore be as thin as is feasible with remaining pinhole-free and continuous. To maximise the photovoltage, the CdS should be as highly doped as possible. Fortunately CdS grows natively n-type without additional foreign doping under most deposition conditions. Under operational
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conditions, its conductivity is increased by photoconductive processes. CdS deposition processes are similar to those used for CdTe. At present only a few processes have been developed as production technologies. Physical vapour deposition (sublimation/condensation, e.g. close-spaced sublimation) and chemical spraying are the main options. An alternative option is chemical bath deposition of a CdS film onto the TCO glass substrate from a metastable aqueous solution of cadmium acetate, thiourea, ammonia and ammonium acetate at temperatures of -70 C. Cells of 1 cm2 area and efficiency 15.8% have been made using this process (Chu et al., 1992). In spite of the high quality of the resulting CdS films, this process may ultimately be less suited for large-scale production, because of reproducibility problems (Ferekides etal., 1997a). Recently, cells of 15% efficiency have been made using the commercially attractive process of close-spaced sublimation of CdS (see Section 6.5.2). Analysis of a large number of specifically made cells from different laboratories shows that, when the CdS layer thickness is decreased, only 4 mA cm""2 of the 8 mA cm"2 of short-circuit current due to light below 515 nm can be realised before the voltage and fill factor start to fall because of 'weak' spots or areas (Granata et al., 1996). The optimum CdS thickness seems to lie in the range 50-80 nm. In industrial production, engineers tend to keep CdS films somewhat thicker than this, sacrificing part of the photocurrent for increased process safety.
6.5.2 The CdTe absorber layer The deposition process used for CdTe should utilise the advantageous materials properties mentioned above, especially the native p-doping, good crystallinity and high minority carrier (electron) mobility. Numerous deposition technologies that have the potential to do this can be imagined, and indeed about ten different procedures have been successfully developed. The following gives a brief description of the techniques which have led to solar cells of above 10% efficiency. Sublimation-condensation Many film deposition processes are based on the fact that CdTe not only forms stoichiometric films easily but also sublimes congruently without melting on heating. If heated sufficiently—typically above 600 C—CdTe evaporates to form Cd and Te by dissociation. As can also be seen from the phase diagram (Fig. 6.1), the remaining material stays stoichiometric, so no accumulation of either Cd or Te can occur. The starting CdTe material can be used until it is completely consumed. The classical film
Cadmium Telluride Solar Cells
253
deposition process is high-vacuum evaporation: CdTe is evaporated by sublimation from a heated crucible and condenses on a substrate positioned in front of this crucible inside a vacuum vessel. The crucible and source material are kept at a temperature around 700 C, and the substrate is heated to temperatures between 200 and 400 C. The upper limit on substrate temperature is determined by the ratio of the rate of re-sublimation from the growing film to the rate of material arrival from the crucible. Typical laboratory deposition rates are -10 A s~\ but this is determined primarily by the geometry of the deposition apparatus. Two commercially viable processes, which achieve both higher deposition rate and higher substrate temperature, are modifications of mis basic process: 1. Close-spaced sublimation (CSS) The evaporation source is made in the form of an extended, flat layer (either a semiconductor plate or an open crucible filled with semiconductor granulates, and heated to a temperature at which the material sublimes—typically 700 C). The source is essentially the same size as the heated substrate and is placed a short distance ('close spaced') in front of it so that the sourcesubstrate distance is typically a few cm. Due to the confined geometry, a large mean free path is not required for the subliming species to reach the substrate, nor is a high vacuum needed. An inert gas pressure of 1 mbar or higher can easily be tolerated and good films have even been made at ambient pressure. CSS was employed to deposit the CdTe film for the first CdTe thin-film solar cell to achieve the benchmark conversion efficiency of 10% (Tyan and Peres-Albuerne, 1982). The present world record of 15.8% has also been achieved with this technology, using substrate temperatures of around 600 C at 40 mbar (Ferekides et al., 1993). This requires a glass such as borosilicate, which can resist this temperature without softening. If low-cost soda lime glass, which softens at 550 C, is used, lower CSS temperatures of around 500 C must be employed. Films of less perfect quality are expected at the lower temperatures. However, soda-lime glass substrates were successfully employed ten years later by Bonnet (1991). Using deposition rates of above 10 /xm min"1, efficiencies of ~ 12% were achieved, and 10 x 10 cm2 modules of 10.5% efficiency have been fabricated at ANTEC GmbH. 2. Modified closed-space sublimation As already mentioned, soda lime glass, the cheapest substrate, becomes soft above 550 C and has to be supported in order to avoid warping. A process in which the glass is supported by rollers during deposition was developed by Solar Cells Inc. (Meyers et al., 1993, Sandwisch, 1994). The CdTe is evaporated from semi-cylindrical troughs positioned above the horizontal substrate and the vapour is directed downward to the substrate by suitably structured shields. This has so far led to modules of 60 x 120 cm2 area, certified at NREL as up to 8.2% efficient.
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Chemical spraying This process was used as early as 1966 for depositing the CdS films of CdS/Cu2S thinfilm solar cells (Chamberlin, 1966), and since then it has been developed for CdTe deposition. An aerosol of an aqueous solution containing heat-decomposable CdCl2 and an organic Te compound is directed onto the substrate, which is kept at a temperature of about 500 C. Cd and Te are liberated by pyrolysis on the surface and immediately react to form a CdTe film. CdS can be produced in a similar manner. For CdS films, thiourea and CdCl2 are typically used to supply S and Cd respectively. The films are somewhat porous, but have nevertheless led to cells of 12.7% efficiency (Albright etal., 1992). The liberated solvent (water) limits the deposition rate somewhat, but the process is simple and does not need a vacuum. This technology was developed into an industrial process by Golden Photon Inc., and modules of 60 x 60 cm2 area have been manufactured at efficiencies of -8%. The CdTe films appear to contain numerous voids, and perhaps for this reason, the chemical spraying method requires higher film thicknesses than do other procedures. Galvanic deposition Both CdTe and CdS can be electrodeposited from an aqueous solution at temperatures of 90 C, but fluctuations in stoichiometry can only be remedied by thermal annealing above 400 C. The first such cells to exhibit 10% efficiency were made in 1983 by two industrial efforts, at Monosolar Inc. (Basol, 1988) and AMETEK Inc. (Meyers and Liu, 1988), using p-type and n-type CdTe respectively. The early AMETEK devices had a metallic substrate and the n-CdS/i-CdTe/p-ZnTe configuration, but in later work the more popular n-CdS/p-CdTe heterojunction configuration was adopted. In the latter case deposition is onto a glass substrate coated with a transparent conductive oxide (TCO), which has a typical sheet resistance of ~10 ohm square"1. In order to keep the deposition potential constant across large-area substrates, deposition must be performed at low current densities (typically 0.5 mA cm"2), resulting in deposition rates of about 1 nm s"1. After termination of the above-mentioned industrial efforts in the USA, BP Solar acquired the rights and continued the effort (Woodcock et al., 1991), achieving 14% efficiency for small cells and >8% for 30 x 30 cm2 modules (Woodcock et al., 1995). If many substrates are coated in parallel, the long deposition time of about 1 hour can be compensated by high throughput.
Cadmium Telluride Solar Cells
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Screen printing CdS and CdTe films can be screen printed from slurries containing CdS and CdTe (or Cd and Te powders), respectively, plus CdCl2 as flux (Yoshida, 1995; Cleminck et al., 1992). Films are then given a heat treatment for about an hour in a controlled atmosphere at about 700 C (for CdS) or 600 C (for CdTe), to produce large-grained films with thickness from 15 to 30 fim. Efficiencies above 12% have been reported. This process has appeal for manufacturing due to the simplicity of the process and equipment. On the other hand, semiconductor film thickness is 3 to 6 times that of films made by other techniques, the process involves several hours of heat treatment to produce high-quality films, and high-quality substrates (made of borosilicate glass) are required. Chemical vapour deposition Chemical vapour deposition (CVD) has some resemblance to the spraying process, insofar as CdTe is formed by chemical reaction from thermally decomposable compounds. In the case of CVD, the compounds are gaseous and are injected into the reactor by a carrier gas, e.g. H2. Typically metal-organic compounds such as dimethyl cadmium and diethyl tellurium are used as precursors for the reaction (Ghandi et al., 1987; Rohatgi, 1992). CVD has the advantage that doping species such as P or As can also be introduced (e.g. in the form of thermally decomposable AsH3 or PH3) by a suitable gas-mixing system. This process, although slower than the fast physical vapour deposition processes (/*m If1 vs. ^m min"1 ) has wide process latitude in gas composition, allowing basic studies to be made. For example, CVD has been used at Georgia Institute of Technology, where one interesting result has shown that, even under very strong deviations of the Cd:Te ratio from 1:1, device-quality stoichiometric films can be made, again giving proof of the latitude available for CdTe processing. Efficiencies achieved on experimental cells have been well above 10%. However, due to the toxicity, high cost and low materials efficiency of the metal-organic gases, this process is generally considered less suited for large-scale production of CdTe thin-film solar cells. Atomic layer epitaxy (ALE) In this process alternate monolayers of Cd and Te are deposited on the substrate by alternately directing gas streams containing Cd or Te onto it. This allows very stoichiometric and pure films to be grown. Cd and Te are evaporated into the inert gas streams in a closed system at elevated temperatures. The gas streams are of high
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temperature and are guided inside high-temperature tubing to avoid condensation. The substrate is also heated and the deposition is driven by the chemical bonding energy between Cd and Te. Cells of 14% efficiency have been reported, and modules of 5 x 5 cm2 area at efficiencies above 10% have been made by Microchemistry Inc. (Skarp et al., 1991 and 1992). This process has some similarity to that used for the very first CdS/CdTe cells around 1970. Here the compound CdTe had been evaporated into an inert gas-stream which had been guided onto a substrate at lower temperatures—but still around 500 C (Bonnet and Rabenhorst, 1972). ALE requires very low deposition rates, but enables multiple glasses to be coated in parallel, as does electrodeposition. The technology has not been pursued further at the time of writing this chapter. Sputtering Bombardment with argon ions of a solid target of CdTe leads to emission of Cd and Te from the surface of the target. The atoms move in the ambient vacuum and condense on the substrate, forming CdTe films at suitable temperatures of up to 300 C. This technology has led to good results in first experiments at NREL (Abou-Elfotouh and Coutts, 1992) and the University of Toledo (Compaan etai, 1993). Deposition rates are typically < 100 nm min"', lower by a factor of 10 than for CSS. This process may gain industrial application for deposition of semiconductor back contacts, e.g. ZnTe, as such contacts are typically very thin (Gessert et al., 1995).
6.5.3 The CdS/CdTe interface and activation of the cell CdS and CdTe in thermal equilibrium can form mixed compounds CdS^Te,^ only for limited ranges of x (0<x
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Cadmium Telluride Solar Cells
tion at 70 C) and impeded by high-temperature deposition (like CSS at 400-500 C). Only relatively small deviations from pure CdS and CdTe are possible, so only a small mixing of S into CdTe, and of Te into CdS, is possible. In order to achieve the ultimate performance, methods must be found to 'tailor' the junction to optimum properties by a process suited to large-scale production.
Voltage/V Figure 6.5
1-V curves for (A) as-deposited, (B) heat-treated and (C) activated cells. From Al Allak etal. (1996).
In the technology of II-VI compound semiconductors, maximum performance can often be achieved only after special treatments involving a chloride at elevated temperatures. This is also true for the CdTe/CdS heterojunction thin-film solar cell. It has become common practice to activate the cells by using the influence of CdCl2 at elevated temperatures (Basol, 1992; Meyers et al, 1998). In the 'classical' process, the CdCl2 heat treatment is a post-deposition procedure. Following deposition, the CdTe films are wetted with solutions of CdCl2 in methanol, dried and annealed at temperatures around 400 C for 10-30 minutes in air. In other cases, such as screen printing or electrodeposition, CI" ions are supplied during the growth process. After deposition of the back contact, a significantly better performance is observed for 'activated' cells (Al Allak et al, 1995). Figure 6.5 shows three typical curves for differently treated and untreated cells, showing the dramatic improvement in performance. All essential parameters (open-circuit voltage, short-circuit current and fill-factor) are increased after such treatments. Figure 6.6 shows the corresponding spectral response curves for different
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(open-circuit voltage, short-circuit current and fill-factor) are increased after such treatments. Figure 6.6 shows the corresponding spectral response curves for different activation steps. Only for the properly activated cell does the classical 'windowresponse' expected for such a heterostructure become obvious. '
CdCI2 treated As deposited, good area
— o — Heat Treated As deposited, poor area
W a v e l e n g t h (nm)
Figure 6.6
Spectral response for as-deposited, heat-treated and activated cells. From Al Allak e/a/. (1996).
The activation process is not yet completely understood, but it has become clear that it produces beneficial morphological and electronic changes (Levi et al., 1994). Temperature-dependent current-voltage measurements (Al Allak et al., 1996) indicate that, in as-deposited and only heat-treated samples, the current transport is dominated by tunnelling recombination processes. In contrast, in CdCl2-treated cells, which show much improved electrical characteristics, current transport occurs by thermal emission across the junction, which indicates a reduction in interfacial recombination rates. This improvement goes hand-in-hand with the increase of the density of a hole trap 0.48 eV above the valence band edge (Laurengo, 1997). It is thus credible that the major effect is the improvement of crystalline quality in the depletion region of the cells. Furthermore, much more uniform photoelectric sensitivity across the cell surface results from activation (Galloway et al., 1995). In as-deposited cells, most of the junction is inactive but activated cells show high homogeneous sensitivity independent of bias. More detailed studies of the activation process have shown that the density of interface states at the physical boundary is
Cadmium Telluride Solar Cells
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markedly reduced, decreasing the voltage-limiting reverse saturation current in the diode. Unfortunately the number of defect centres in the space-charge region is also increased, limiting the improvement (Rohatgi, 1992). Recently, direct evidence has been produced showing that the grain boundaries in the CdTe films are well passivated during the CI" activation process by the creation of /?-type accumulation regions that drive the photogenerated electrons into the grains and away from the grain boundaries (Edwards et al, 1997). With the requirement of more closely defined processes suitable for technical scaleup, different methods of activation have been studied. CdCl2 has been deposited using standard thin-film technologies, including high-vacuum evaporation and close-spaced sublimation. Heat treatments of CdTe films on which about 100 nm of CdCl2 has been deposited produced results similar to those obtained by the wet process. An alternative process is to use gaseous chlorides, such as HC1 (Zhou et al., 1994; Sasala et al., 1996) or CdCl2 (McCandless et al., 1996; Sasala et al., 1996), during the heat treatment.
6.5.4 The back contact A wide variety of contact structures have proved successful in making >10 % efficient devices. In general this topic is treated as confidential by industrial companies, and is considered too technology-oriented by universities to merit intense study. However, the back contact is fundamentally important because it bears on the essential question of long-term stability. Unfortunately, the highest efficiency cells have been made using a Cu-doped graphite back-contact layer that is not well suited for monolithic integration of cells into a large-area (60 x 120 cm2) modules. There are two general principles for making ohmic contacts to p-type semiconductors: 1. To use a metal of work function higher than the electron affinity of the semiconductor in order to align the top of the valence band with the Fermi level of the metal. The electron affinity of CdTe is 4.3 eV. 2. To create a highly doped back-surface layer in the semiconductor. The barrier created by the back-contact metal in the semiconductor will then be thin enough for holes to tunnel through efficiently. The problems for CdTe are evident for both cases: low-cost metals of work function greater than 4.5 eV are not available, and p-doping in CdTe suffers from a strong tendency for acceptors to self-compensate. Furthermore, acceptors cannot be introduced by
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diffusion doping from the surface, as dopants generally diffuse preferentially along grain boundaries, leading to shunting of the cell before sufficient doping levels can be achieved. The latter problem can be alleviated to some extent by using CdTe films of higher-than-necessary thickness, e.g. >5 /im. In practice, some methods may combine approaches 1 and 2 by first contacting CdTe with a more easily doped semiconductor (generating a p-p* junction), and then with metals of high work function. Efforts have primarily been directed towards four semiconductors: HgTe, ZnTe:Cu, Te and Cu2Te (Chu, 1988; Meyers etal., 1990; Tyan, 1980; Tang et al., 1991; Ferekides et al., 1997b). All three are p-type semiconductors with suitable work functions. Nevertheless, modification of the surface of a polycrystalline thin film has proved to be a delicate and often material- and morphology-dependent process (Pompon, 1985; Fahrenbruch, 1987). A very thin film of Te, created by chemical etching of the CdTe surface after activation or deposition of Te, seems to be especially beneficial to the back contact (Sasala, 1997). In many cases, such as the above-mentioned graphite contact, copper (an acceptor in CdTe) is added, which on annealing can diffuse into the CdTe film. An adverse consequence of this can be reduced stability, as Cu has high diffusivity in most semiconductors (McCandless, 1995; Chou, 1995) and may propagate into the semiconductor even at cell operating temperatures (-60 C). If Cu reaches the junction, it first reduces the junction width, and then it compensates donors in the CdS layer. The photocurrent is reduced in both cases. Another alternative has been to dope the graphite with HgTe, but this also has some unsatisfactory practical aspects (Niles et al., 1996). Fortunately, recent analysis (Sites and Lui, 1995) has shown that a completely nonrectifying back contact is not required. At room temperature, a contact barrier of 200 meV will not lead to a noticeable reduction of output. The thermally activated reverse currents in such junctions generate only a low series resistance. Only if the barrier height increases with time will degradation occur. This type of contact and its time-dependent behaviour can be easily identified by observing the l-V curves in the forward direction. Observations of an increasing 'rolloff (or current saturation) can be used as early warning for degradation, even before the power output suffers. Unfortunately, publications rarely show I-V curves at / > 0 in the forward direction, and it is recommended that they should (Bonnet et al., 1992). Medium-term measurements on technical pilot modules exposed outdoors, showing minimal degradation for over 20,000 hours of continuous illumination at 0.8 Sun intensity, have been performed for BP Solarex and Solar Cells Inc. (which has since changed its name to First Solar LLC) by Sasala et al. (1996). The success of these tests is a strong indication that long-term stability can be achieved by careful design of the back contact.
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6.5.5 Substrates The substrate onto which thin-film solar cells are deposited will to a large extent determine the cost of the final module. Many experiments have been made on borosilicate glass, which is stable at temperatures up to 600 C. The cost of this type of glass is about twice that of standard soda-lime window glass, which costs about $5 per m2. Whereas the world-record cell was deposited at low speed and elevated temperature onto borosilicate glass, the use of soda-lime glass under suitably reduced substrate temperatures has also resulted in efficiencies above 13% (Ferekides, 1994). There exists strong evidence that a certain amount of diffusion of Na from the soda-lime glass into the growing film promotes improved structure and properties. Comparison of cells made on glass + TCO and glass + Na-diffusion barrier (Si02) + TCO shows improved results for the first option (Bonnet et al., 1994). All industrial efforts today use soda-lime standard window glass as substrate.
6.5.6 The TCO film The transparent conducting oxide (TCO) base contact of the diode is an essential part of the cell and its optimisation can lead to a significant improvement in cell and module efficiency. Generally, metal oxides based on indium and tin are used, which can be made highly conductive by either native or additive doping while still keeping the high optical transmission that results from their large energy gap. Free carrier absorption and impurities lead to reduced transmission. Generally a TCO film is considered good if its conductivity is <10 ohms square"1 and its optical transmission is >80% in the region of solar sensitivity of the diode. Good films usually are made by cathode sputtering of targets of ln 2 0 3 or Sn0 2 . Detrimental in-diffusion of In into the CdS/CdTe film stack can be reduced by a pure Sn0 2 film between ln 2 0 3 and CdS. Recently, CdSn0 3 has been studied as TCO material, and has shown greatly improved performance, especially extremely high optical transmission even at low sheet resistances. Cells showing 14% efficiency have been made using this type of TCO film (Wu et al., 1997). However, high-temperature processing makes borosilicate glass mandatory with CdSn0 3 films. Generally the influence of TCO film morphology on cell performance has been neglected. It has been shown, however, that the roughness of Sn0 2 can improve cell performance (Ferekides et al., 1997c).
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6.6 Module production As was demonstrated in the field of amorphous silicon more than 10 years ago, thinfilm solar cell technology easily lends itself to making integrated modules. A typical module has around 100 individual cells per metre of module length, connected in series
glass substrate
Figure 6.7
10 cells
interconnection region
Arrangement of the individual cells in a thin-film module.
by applying three sets of separation cuts to the growing film stack during production by means of laser ablation or mechanical machining. Figures 6.7 and 6.8 illustrate the principle. Narrow individual cells running parallel to one edge of the substrate are defined and sequentially connected: the top electrode of cell 1 contacts the bottom
CdS/CdTe fit TCO film,
back conta cell!
first cut: TCO .second cut: CdS/CdTe .third cut: back contact / cell2
substrates
Figure 6.8
Principle of interconnection by triple scribing of individual layers.
electrode of cell 2 while being separated from the top electrode of cell 2. The top electrode of cell 2 connects to the bottom electrode of cell 3 and so on. The cuts into and through the individual films are often made by lasers, such as Nd:YAG lasers. In CdTe
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thin-film solar cells another technique can be used: the CdS/CdTe double film adheres quite well to the TCO film, which is very flat and rather hard. CdTe, being very brittle, allows the second and third cut to be made by mechanical tools, which cut the brittle CdTe but slide on the TCO film without cutting it. The third cut can also be made with a mechanical scribe and there is no disadvantage in cutting down to the TCO film. Contacting and encapsulation technologies for CdTe have been adapted from those for Si and readily lead to modules of 0.5-1 m2 in size. Figure 6.9 shows a typical module of 60 x 120 cm2 size. The following are the individual steps for module production from glass to module: cleaning of substrate glass; TCO-deposition; scribing step; CdS deposition; CdTe deposition; activation; scribing step 2; back contact deposition; scribing step 3; edge insulation and contact attachment; lamination; safety check; power test and inspection. For mass production, these processes must be integrated into a production line. A processing speed of >1 m min~'. is needed if 100,000 m2 per annum is to be produced, corresponding to 10 MWp at 10% efficiency. The glass sheets to be coated must move fully automatically under defined processing parameters and environment. As many
Figure 6.9
60 x 120 cm2 module made by First Solar LLC (formerly Solar Cells Inc.)
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steps are executed at elevated temperatures of 200-500 C, heat-up and cool-down chambers must be included, increasing the total length of a typical processing line to as much as 150 m. This line will be folded in the production hall, connecting the input storage area with the output storage area, with added shipping facilities for 3000 tonnes of (essentially) glass per annum. The investment cost for the plant will be in the range 10-20 million ECU. For optimum utilisation of this capital, such a plant must operate in three shifts, seven days a week, with the sole interruptions being breaks for refilling and service.
6.7 Industrial status—achievements and projections Recently 14.3% efficiency has been achieved on small cells using processes and materials suited for large-scale production (close-spaced sublimation and float glass, respectively) (Ferekides etal., 1997a). Table 6.1
Status of pre-production efforts in CdTe thin-film solar cells
Company
Process
Matsushita Corp. Golden Photon Solar Cells Inc.
Screen printing Spraying Sublimation
It
ANTEC GmbH BP Solarex 1)
II
Close-spaced sublimation Electrodeposition tl
Module area (cm2) 1200 3528 6728 64 86 706 4540
Efficiency (%) 8.7 7.7 9.1 10.5 10.5 10.1 8.4
Source: Ullalef al. (1997).
It is the central aim of all public and private investment into solar cell development work to facilitate production under conditions of competitive industrial operation. Under the present situation of cheaply extracted non-regenerative fossil fuels, this is a difficult task. Governments and international agencies are therefore helping industrial R&D entities with limited subsidies; this is especially difficult to justify under present conditions of decreasing budgets. A few companies are actively pursuing the aim of ensuring the financial and technical assets to enter production. Table 6.1 gives industrial pre-production results (Zweibel et al., 1996).
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6.7.1 First Solar LLC {formerly Solar Cells Inc.) Solar Cells Inc. (SCI) of Toledo, Ohio started work on CdTe thin-film solar cells around 1990, using a sublimation process at reduced inert atmosphere of 5 torr, directly aiming at large-area modules. They demonstrated 3 years of stability under real outdoor exposure, monitored by NREL and 11 years under accelerated testing conditions. SCI produced a 60.3 Wp 8.4% efficient module—the most powerful thin-film polycrystalline module in the world (Sandwisch, 1996). The process for making these modules has been proved on a 100 kWp pilot line, and no technology barriers have been identified. SCI will now concentrate on the expansion of the current pilot line to 200 kWp while installing a 100 MW/yr facility. In 1999, SCI changed its name to First Solar LLC.
6.7.2 BP Solarex The technology of electrodeposition of CdTe goes back to studies at AMETEK Corp. and MONOSOLAR Corp. around 1980. The UK-based BP subsidiary, BP Solar, acquired Monosolar's CdTe technology in 1984 and initiated its CdTe development efforts around 1985 in Sunbury-on-Thames, near London. 30 x 30 cm2 integrated modules of 8% efficiency were made and studied outdoors and under simulated sunlight. In 1999, BP Solar merged with the US PV company Solarex to become BP Solarex, headquartered in Baltimore, Maryland. BP Solarex is aiming at commercial production of CdTe modules, and has acquired a factory for thin-film module production in Fairfield, California, where it intends to employ 100 people and invest US $20 million to install a production capacity of 1000 'Apollo' CdTe panels a day, each about 150 x 60 cm2 (Marshall, 1997; www.solarex.com). This would correspond to annual production of >18 MWp per annum at 10% efficiency. Recently BP Solarex has achieved a new world record efficiency for large-area CdTe: a 40 x 150 cm2 module has been certified at 10.8% aperture efficiency at NREL (Bolko von Roedern, personal communication).
6.7.3
ANTECGmbH
ANTEC has continued development of the 'CTS' technology, which had been started anew at the Battelle Institute in Frankfurt, Germany in 1990 after Battelle's historic initial work in 1970. ANTEC uses its proprietary CSS process and has manufactured 10 x 10 cm2 modules of 10.5% efficiency. The basic technology steps have now been
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developed for transfer into production, and ANTEC will build a highly automated 10 MWp production plant in Rudisleben, Germany, for which it has secured the financial capital. Full-scale production of 60 x 120 cm2 CTS modules is envisaged to start early in the year 2000. Module costs of 2.20 DM/WP have been calculated at 8% module efficiency and 80% factory yield.
6.7.4 Golden Photon Inc. Under the name Photon Power Inc, a small group of engineers based in El Paso, Texas studied the technology of chemical spraying for about 20 years, starting with the CdS/Cu2S thin-film solar cell and later adapting the technology to CdTe/CdS devices. After achieving technical success, they were taken over in 1992 by COORS Inc. of Golden, Colorado and renamed Golden Photon Inc. Work continued and was intensified, resulting in a pilot-production line generating integrated modules. The highest conversion efficiency reported on a 60 x 60 cm2 module was 7.7%. Small cells have shown efficiencies exceeding 14%. However, in 1996 Golden Photon encountered stability problems in their modules and in May 1997 the CdTe effort was terminated and will be divested (Anon., 1997).
6.7.5 Matsushita Corp. Based on their early work on the CdS/Cu2S solar cell in the sixties, Matsushita Corp., Japan started earlier than 1977 to apply the process of screen printing to the fabrication of CdTe thin-film solar cells. Efficiencies of around 10% were reported for individual cells, and integrated modules of up to 1200 cm2 of 8% efficiency were made. Small modules made by this technology are deployed in commercial pocket calculators, the total annual production being ~1 MWp. In 1996, Matsushita stated their intention to change their deposition technology to CSS. They have now made 1 cm2 cells at 15 % efficiency and intend to develop the fabrication technology for large-area cells (Nishio, 1996).
6.7.6 Deployment of modules Apart from Matsushita's ongoing production of small screen-printed modules at a rate of 1 MWP per annum, a number of modules and arrays have been installed from other
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industrial pilot-line production efforts (Zweibel et al., 1996). Golden Photon Inc. has installed CdTe systems of total capacity -100 kWp, mainly for water pumping. Two 25 kWp CdTe installations, supplied by Golden Photon Inc. and Solar Cells Inc., have been deployed at China Lake, California. SCI has also deployed two 10 kWp gridconnected arrays at Davies, California and in Toledo, Michigan, and supplied four nominal 1 kWp arrays to NREL, Toledo Edison (2 arrays) and Tunisia.
6.8 Economic aspects The 1999 world market for photovoltaic modules was -200 MWp, of which the USA delivered about 40% and Europe about 22.5%, which is too low for the region's economic potential. A study from the Canada Centre for Mineralogy and Energy
1995
1996 ]
1997
New thin film
1998
1999 ]
2000
2001
Current thin film
2002 |
2003
2004
2005
Crystalline silicon
Figure 6.10 Expected market share of advanced thin-film systems (polycrystalline thin-film solar cells). Adapted from Woodcock et al. (1997).
Technology (Leng et al., 1996) predicts an annual increase of 15-30% for PV over the next 15 years, with sales volumes of 830 MWp under a business-as-usual scenario, and 4000 MWp under an accelerated scenario, for the year 2010 at average module prices of $2 and $1.50 per Wp respectively. Such a market would enable PV manufacturers to construct several 100-200 MWp/year plants. It is obvious that market demand depends on the price at which solar cells can be offered. This means that increase in efficiency and reduction of production cost are re-
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quired. According to experts (Ostwald, 1996), the world-wide market can increase from today's figure of -120 MWp per annum to the mentioned size only by exploitation of low-cost thin-film technology. The low cost expected for polycrystalline thin-film solar cells is predicted lead to a gradual take-over of market share under a strongly increasing market, as illustrated in Fig. 6.10. The expected low production cost of about 1 ECU per Wp can be achieved only by using 'economies of scale', i.e. by large-scale production in units having capacities of 10-30 MWp/year. Investment costs for a 10 MWp/year CdTe plant will amount to approx. 15 million ECU, independent of technology, and the construction of the first plant will take between 1.5 and 2.5 years. This will require significant commitment from the industrial entrepreneurs. Detailed cost analyses were made by a representative group of industrial players in the study, MUSIC-FM, financed by the EU (Woodcock, 1997). For CdTe modules, this study predicted production cost of 0.66 ECU per Wp at an efficiency of 10% and a plant capacity of 60 MWp/year. Generally 50% of this value is attributable to consumables—mainly substrate and cover glass and semiconductor materials, 25% to equipment depreciation, and the remaining 25% to staff and rent of site.
6.9 Health and environmental aspects As with many advanced complex products, CdTe thin-film solar cells contain materials with potential impact on the environment and human health. Cadmium is not uncommon in objects used by humans. For example, classic art has used CdS and mixtures with CdSe as yellow and red pigments, without any undue consequences. The crucial question to be answered is whether this metal can enter the human food chain and body. This question has been under intense study in recent years by independent organisations, as well as the development groups involved in thin-film solar cell research (Alema and van Engelnburg, 1992; Patterson et al, 1994; Steinberger, 1998; Moskowitz et al., 1994). Two essential parts of the life cycle of CdTe thin-film solar modules can be identified: production and use. Production of future polycrystalline thin-film solar cells basically employs techniques common in chemical industry, and the substances involved are easily manageable by standard processes. Workers in development laboratories have shown no unusual uptake of Cd under periodic medical scrutiny. Production is possible under existing safety laws without putting the health of staff at risk. It appears to be technically and economically possible to design and operate a factory with zero Cd emission.
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The studies mentioned furthermore show the use of CdTe solar modules is coupled with negligible risk for the environment and humans even under severely irregular conditions. Cd and Te are strongly bound to form the inert compound CdTe, which will yield Cd only at temperatures above 1000 C in air. In case of exposure to fire, the substrate- and cover-glasses will melt long before the CdTe decomposes, thereby including the semiconductor into the re-solidifying glass. There are early indications that the CdTe-material is actually dissolved in the glass flux. Incineration experiments conducted by BP Solarex in cooperation with a fire research institution have not led to detectable emissions. During use, a CdTe module bears comparison with laminated glass similar to that used in cars. Thus modules will not easily break and release their contents. At their end of life, modules can be recycled by crushing the whole and returning the debris to the smelters, who can inject the material into their processes without significant additional cost. The glass used as encapsulant in the modules under this procedure will substitute the silicate additive (usually sand) the melts will need. Other compounds, such as CdTe, will re-enter the product line. As a proactive measure, manufacturers will not recommend the disposal of modules in regular land-fill sites.
6.10 Conclusions Thirty-five years after the first demonstration of the potential of the CdTe thin-film solar cell by Cusano at General Electric and Lebrun from Philips, and thirty years after the first manufacture of the CdS/CdTe heteroj unction solar cell in its present configuration by Bonnet and Rabenhorst at Battelle Institute, the CdTe thin-film solar cell is approaching production status. More than twenty university groups and ten industrial companies have expended efforts, for more or less extended periods of time, to develop cells and modules, using about ten deposition technologies for CdTe and CdS. In recent work, no technology barriers for large-scale production have been identified, although some processes, such as screen printing, have shown limitations. At present, four industrial enterprises in Europe, USA and Japan are on track to install low-cost production processes. This review has tried to illustrate that the CdTe thin-film solar cell shows high promise of achieving cost levels of -0.5 Euro/Wp in mass production, and has the potential of 15% efficiency for a mature technology. Further aid by basic R&D will assist the technology to obtain increased performance and reduce the cost of the product. A bright future is expected for the CdTe photovoltaic industry.
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Tang J., Mao D., Ohno T. R., Kaydanov V. and Trefny J. U. (1997), 'Properties of ZnTe:Cu thin films and CdS/CdTe/ZnTe solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf., Washington D.C., IEEE Press, Piscataway, 439-442. Tyan Y.-S. (1980), 'Semiconductor devices having improved low-resistance contacts to p-type CdTe, and method of preparation', U.S. Patent No. 4,319,069. Tyan Y.-S. and Perez-Albuerne E. A. (1982), 'Efficient thin film CdS/CdTe solar cells', Conf. Record 16th. IEEE Photovoltaic Specialists Conf, San Diego, IEEE Press, Piscataway, 794-800. Ullal H. S., Zweibel K. and Roedern B. V. (1977), 'Current status of polycrystalline thin-film PV technologies', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 301-305. Woodcock J. M., Turner A. K., Ozsan M. E. and Summers J. G. (1991), 'Thin film solar cells based on electrodeposited CdTe', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 842-847. Woodcock J. M., Ozsan M. E., Turner A. K., Cunningham D. W., Johnson D. R., Marshall R. J., Mason N. B., Otik S., Patterson M. H., Ransome S. J., Roberts S., Sadeghi M., Sherborne J. M., Sivapathasundaram D. and Walls I. A. (1994), 'Thin film CdTe photovoltaic cells', Proc. 12th. European Photovoltaic Solar Energy Conf, Amsterdam, H. S. Stephens & Associates, Bedford, 948-950. Woodcock J. M., Schage H., Maurus H., Dimmler B., Springer J. and Ricaud H. (1997), 'A study of the upscaling of thin film solar cell manufacture towards 500 MWp per annum', Proc. 14th. European Photovoltaic Solar Energy Conf, Barcelona, H. S. Stephens & Associates, Bedford, 857-860. Wu X., Sheldon T. J., Coutts T. J., Rose D. H. and Moutinho H. R. (1997), 'Application of Cd 2 Sn0 4 transparent conducting oxide in CdS/CdTe thin-film devices', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 347-350. Yoshida T. (1995), 'Photovoltaic properties of screen-printed CdTe/CdS solar cells on indium-tin-oxide coated glass substrates', J. Electrochem. Soc. 142, 3232-3237. Zanio K. (1978), 'Cadmium telluride: materials preparation; physics: defects; applications', in Semiconductors and Semimetals, Vol. 13, Willardson R. K. and Beer A. C , eds., Academic Press, New York. Zhou T. X., Reiter N., Powell R. C , Sasala R. and Meyers P. V. (1994), 'Vapour chloride treatment of polycrystalline CdTe/CdS films', Proc. 1st. World Conf. Photovoltaic Solar Energy Conversion, Waikoloa, IEEE Press, Piscataway,. 103-106. Zweibel K., Ullal H. S. and von Roedern B. (1996), 'Progress and issues in polycrystalline thin film PV technologies', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 745-750.
CHAPTER 7
Cu(In,Ga)Se2 SOLAR CELLS UWE RAU and HANS W. SCHOCK Institutfiir Physikalische Elektronik (ipe), Universitdt Stuttgart, Pfaffenwaldring 47, D-70569, Stuttgart, Germany. [email protected], [email protected]
Mephistopheles:
Wer will was Lebendigs erkennen und beschreiben, Sucht erst den Geist heraus zu treiben, Damn hat er die Telle In der Hand, Fehlt leider! nur das geistige Band. Encheiresin naturae nennt's die Chemie, Spottet Ihrer selbst und weifi nlcht wle. Johann Wolfgang von Goethe, Faust, 1808.
7.1 Introduction From the early days of photovoltaics until today, thin-film solar cells have always competed with technologies based on single-crystal materials such as Si and GaAs. Owing to their amorphous or polycrystalline nature, thin-film solar cells always suffered from power conversion efficiencies lower than those of the bulk technologies. This drawback was and still is counterbalanced by several inherent advantages of thinfilm technologies. As in the early years of photovoltaics space applications were the driving force for the development of solar cells, the argument in favour of thin films was their potential lighter weight as compared to bulk materials. An extended interest in solar cells as a source of renewable energy emerged in the mid-seventies as the limitations of fossil energy resources were widely recognised. For terrestrial power applications the cost arguments and the superior energy balance strongly favoured thin films. However, from the various materials under consideration in the fifties and sixties, only four thin-film technologies, namely amorphous (a-)Si and the polycrystalline heteroj unction systems CdS/Cu^S, CdS/CdTe, and CdS/CuInSe2, entered pilot production. As yet, only a-Si contributes significantly to the world photovoltaic market, with a -12% share. Activities in the CdS/Cu^S system 277
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stopped at the beginning of the eighties when amorphous silicon became the front runner in thin-film technologies. The highest potential with regard to cost reduction and high efficiencies is provided by the heteroj unction solar cells based on CdTe and CuInSe2 absorbers. Both materials look back to around 30 years of research and development with the favourite attribute 'promising materials' at every stage. Nevertheless, only now, at the beginning of the new millennium, are these materials switching from the position of eternal talents towards that of mature technologies that have to prove their ability to keep their promises. CuInSe2 was synthesised for the first time by Hahn in 1953 (Hahn et al, 1953). In 1974, this material was proposed as a photovoltaic material (Wagner et al., 1974) with a power conversion efficiency of 12% for a single-crystal cell. Thin-film development achieved a historical milestone in the years 1980 to 1982, when Boeing Corp. boosted the efficiencies of thin film solar cells obtained from a three-source co-evaporation process from 5.7% (Mickelsen and Chen, 1980) to over 10% (Mickelsen and Chen, 1982). We will discuss the co-evaporation process in Section 7.3.1. The Boeing result was surpassed in 1987 by Arco Solar with a long-standing record efficiency for a thinfilm cell of 14.1% (Mitchell et at, 1988). They used a different approach for absorber preparation, namely the selenisation of stacked metal layers by H2Se (see Section 7.3.1). The lack of reproducibility and resulting low production yield considerably delayed the pilot production envisaged at that time. It took a further ten years, before Arco Solar, now Siemens Solar Industries in the USA, entered the stage of production. In 1998 they produced the first commercially available Cu(In,Ga)Se2 solar modules. In parallel, Siemens Solar in Germany is developing a process that avoids the use of H2Se. Other players in the USA are Global Solar and ISET, who plan to commercialise modules prepared on other than glass substrates. In Europe, the longterm development efforts of the EUROCIS consortium on the co-evaporation process resulted in the activity by Wiirth Solar with pilot production envisaged in 2000. In Japan, two lines for film preparation are planned by Showa (selenisation by H2Se) and Matshushita (co-evaporation). With an NREL-demonstrated cell efficiency of 18.8% on a 0.5 cm2 laboratory cell (Contreras et a/., 1999) and 14.7% for mini-modules with an area of around 20 cm2 demonstrated by Siemens Solar (Karg, 1999) and Angstrom Solar Centre, Sweden (Kessler et al, 1999), Cu(In,Ga)Se2 is now by far the most efficient thin-film solar cell technology. The start of production at several places provides a new challenge also for research on this material. In contrast to all other solar cell technologies, research on Cu(In,Ga)Se2 has no backup from other applications of the same material. As a consequence, the body of knowledge on Cu(In,Ga)Se2 is still slight compared with what is known about crystalline Si, which can draw on ample reserves of
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knowledge from microelectronics research. Hence, most of the achievements of Cu(In,Ga)Se2-based solar cells accumulated over the years have been initiated by intuition rather than knowledge-based technological design. This chapter aims to summarise our present knowledge of Cu(In,Ga)Se2-based heterojunction solar cells. We focus on four main areas: (i) The description of basic material properties such as crystal properties, phase diagram, and defect physics in Section 7.2; (ii) cell technology starting from the growth of the polycrystalline Cu(In,Ga)Se2 absorber up to device finishing by heterojunction formation and window layer deposition (Section 7.3). This section also discusses options which can be used to design the electronic properties of the absorber material as well as basic technologies for module production; (iii) the electronic properties of the finished heterostructure and some methods of analysing them (Section 7.4); (iv) finally, Section 7.5 discusses the photovoltaic potential of wide-gap chalcopyrites, namely CuGaSe2 and CuInS2, as well as that of the pentenary alloy system Cu(In,Ga)(S,Se)2 and the possibility of building graded-gap structures with these alloys. This chapter can only very briefly cover those scientific issues that are relevant for photovoltaic applications. For other important points and for more detailed information, we refer the reader to the literature. More about the structural properties of Cu(In,Ga)Se2 can be found, e.g. in Shay and Wernick (1975), Kazmerski and Wagner (1985), Coutts et al. (1986), Rockett and Birkmire (1991), Schock (1996), Bube (1998) and Rau and Schock (1999). Interface properties of Cu(In,Ga)Se2 and related compounds were recently reviewed by Scheer (1997). For up-scaling and module technologies see, for example, Dimmler and Schock (1996), and for economic aspects, see Zweibel (1995).
7.2 Material properties 7.2.1 Basics CuInSe2 and CuGaSe2, the materials that form the alloy Cu(In,Ga)Se2, belong to the semiconducting I—III—VI2 materials family that crystallise in the tetragonal chalcopyrite structure. The chalcopyrite structure of, for example, CuInSe2 is obtained from the cubic zinc blende structure of II-VI materials like ZnSe by occupying the Zn sites alternately with Cu and In atoms. Figure 7.1 compares the two unit cells of the cubic zinc blende structure with the chalcopyrite unit cell. Each I (Cu) or III (In) atom has four bonds to the VI atom (Se). In turn each Se atom has two bonds to Cu and two to In. Because the strengths of the I-VI and III-VI bonds are in general different, the
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(a)
(b)
Se )Se
In
Zn
Cu
Figure 7.1 Unit cells of chalcogenide compounds, (a) Sphalerite or zinc blende structure of ZnSe (two unit cells); (b) chalcopyrite structure of CuInSe2. The metal sites in the two unit cells of the sphalerite structure of ZnSe are alternately occupied by Cu and In in the chalcopyrite structure.
ratio of the lattice constants cla is not exactly 2. The quantity 2 - da (which is -0.01 in CuInSe2, +0.04 in CuGaSe2) is a measure of the tetragonal distortion in chalcopyrites. The band-gap energies of I-UI-VI 2 chalcopyrites are considerably smaller than those of their binary analogues (this is the binary material where the I/III elements are replaced by their average II element; thus ZnSe is the binary analogue of CuGaSe2 and Zno.5Cdo.5Se that of CuInSea). This difference is because the Cu 3d band, together with n
2.4
-
1
2.2
CuGaS2
-
2.0 1.8
\ _
UJeV 1.6
CuGaSe2
-
CulnS2 1
1.4 CulnSe 2 .
1.2
"^
1.0 5.4
Figure 7.2
5.5
5.6 a/Angstroms
5.7
5.8
Band-gap energies Us vs. lattice constants a of the Cu(In,Ga)(S,Se)2 system.
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281
the Se Ap band, forms the uppermost valence band in the Cu-chalcopyrites, which is not so in II-VI compounds. However, the system of copper chalcopyrites covers a wide range of band-gap energies Ug from 1.04 eV in CuInSe2 up to 2.4 eV in CuGaS2, covering most of the visible spectrum. Figure 7.2 summarises lattice constants a and band-gap energies Ug of this system. Any desired alloys between these compounds can be produced, as there is no miscibility gap in the entire system. We will discuss the status and prospects of this system in more detail in Section 7.5.
7.2.2
Phase diagram
Compared with all other materials used for thin-film photovoltaics, Cu(In,Ga)Se2 has by far the most complicated phase diagram. Figure 7.3 displays the ternary phase diagram, which comprises all ternary Cu-In-Ga compounds. This complex ternary phase diagram can be reduced to a simpler pseudo-binary phase diagram along the tie line between Cu2Se and In2Se3 (solid line in Fig. 7.22). Figure 7.4 shows the phase diagram of CuInSe2 given by Haalboom et al. (1997). This investigation had a special focus on temperatures and compositions relevant for the preparation of thin-films. The phase diagram in Fig. 7.4 shows the four different phases which have been found to be
90
80
70
60
50
40
30
20
10
Cu„ln 9
Figure 7.3 Ternary phase diagram of the Cu-In-Se system.
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relevant in this range: the a-phase (CuInSe2), the /3-phase (CuIn3Se5), the 8-phase (the high-temperature sphalerite phase) and Cu2_j.Se. An interesting point is that all neighbouring phases to the a-phase have a similar structure. The /3-phase is actually a defect chalcopyrite phase built by ordered arrays of defect pairs (Cu vacancies Vc„ and In-Cu antisites InCu). Similarly, Cu2_j.Se can be viewed as constructed from the chalcopyrite by using Cu-In antisites CuT„ and Cu interstitials Cui. The transition to the sphalerite phase arises from disordering the cation (Cu, In) sub-lattice, and leads back to the zinc blende structure (cf. Fig. 7.1a).
ft? . L+8
20
25
30
Cu content (at%) o
single-phase region
•
DTA cooling
a>
two-phase region
A
DTA heating
Figure 7.4 Quasi-binary phase diagram of CuInSe2 established by Differential Thermal Analysis (DTA) and microscopic phase analysis. Note that at 25% Cu no single phase exists. After Haalboom el at. (1997).
The existence range of the a-phase in pure CuInSe2 on the quasi-binary tie line Cu2Se-In2Se3 extends from a Cu content of 24% to 24.5%. Thus, the existence range of single-phase CuInSe2 is astonishingly small and does even not include the stoichiometric composition of 25% Cu. The Cu content of absorbers for thin-film solar cells typically varies between 22 and 24 at. % Cu. At the growth temperature this region lies within the single-phase region of the a-phase. However, at room temperature it lies in the two-phase a + /? region of the equilibrium phase diagram in
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283
Haalboom et al. (1997). Hence one would expect a tendency for phase separation in photovoltaic-grade CuInSe2 after deposition. Fortunately, it turns out that partial replacement of In with Ga, as well as the use of Na-containing substrates, considerably widens the single-phase region in terms of (In + Ga)/(In + Ga + Cu) ratios (Herberholz et al, 1999). Thus, the phase diagram hints at the substantial improvements actually achieved in recent years by the use of Na-containing substrates, as well as by the use of Cu(In,Ga)Se2 alloys.
7.2.3
Defect physics of Cu(In, Ga)Se2
Basics The role of defects in the ternary compound CuInSe2, and even more in Cu(In,Ga)Se2, is of special importance because of the large number of possible intrinsic defects and the role of deep recombination centres in the performance of the solar cells. For insight into the defect physics of Cu(In,Ga)Se2, see Cahen (1987), and for a recent discussion see Burgelman et al. (1997). The challenge of defect physics in Cu(In,Ga)Se2, according to Zhang et al. (1998), is to explain three unusual effects in this material: (i) the ability to dope Cu(In,Ga)Se2 with native defects; (ii) the structural tolerance to large off-stoichiometries; and (iii) the electrically neutral nature of the structural defects. It is obvious that the explanation of these effects significantly contributes to the explanation of the photovoltaic performance of this material. It is known that the doping of CuInSe2 is controlled by intrinsic defects. Samples with ptype conductivity are grown if the material is Cu-poor and annealed under high Se vapour pressure, whereas Cu-rich material with Se deficiency tends to be n-type (Migliorato et al., 1975; Noufi et al, 1984). Thus, the Se vacancy Vse is considered to be the dominant donor in n-type material (and also the compensating donor in p-type material), and the Cu vacancy VCu the dominant acceptor in Cu-poor p-type material. Theoretical considerations By calculating the metal-related defects in CuInSe2 and CuGaSe2, Zhang et al. (1998) found that the defect formation energies for some intrinsic defects are so low that they can be heavily influenced by the chemical potential of the components (i.e., by the composition of the material) as well as by the electrochemical potential of the electrons. For VCu in Cu-poor and stoichiometric material, a negative formation energy is even calculated. This would imply the spontaneous formation of large
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numbers of these defects under equilibrium conditions. Low (but positive) formation energies are also found for the Cu-on-In antisite Cuto in Cu-rich material (this defect is a shallow acceptor which could be responsible for the />type conductivity of Cu-rich, non-Se-deficient CuInSe2). The dependence of the defect formation energies on the electron Fermi level could explain the strong tendency of CuInSe2 to selfcompensation and the difficulties of achieving extrinsic doping. The work of Zhang et al. (1998) provides a good theoretical basis for the calculation of defect formation energies and defect transition energies, which exhibit good agreement with experimentally obtained data. Further important results in Zhang et al. (1997) are the formation energies of defect complexes such as (2Vcu,InCu), (Cu^Inc) and (ZCu^Cu^), where CUJ is an interstititial Cu atom. These formation energies are even lower than those of the corresponding isolated defects. Interestingly, (2Vcu,InCu) does not exhibit an electronic transition within the forbidden gap, in contrast to the isolated InCu-anti-site, which is a deep recombination centre. As the (2Vcu,InCu) complex is most likely to occur in Inrich material, it can accommodate a large amount of excess In (or likewise deficient Cu) and, at same time, maintain the electrical performance of the material. Furthermore, ordered arrays of this complex can be thought as the building blocks of a series of Cu-In-Se compounds such as CuIn3Se5 and CuIn5Se8 (Zhang et al., 1997). Table 7.1 Electronic transition energies and formation energies of the twelve intrinsic defects in CuInSe2 Defect transition energies" and formation energies''
Trans -ition
Vcu
Vi„
HO)
0.03
0.17
0.03
0.04
H2-)
0.41
(2-/3-)
0.67
V«
Cm In,
Se,
Cum
Sec
Cus«
Se.„
0.75
0.08
Inse
0.29 0.04c
0.07
0.05 0.58
0.2
(0/+)
0.25
0.11'
0.08
0.07
2.6
2.88
9.1
0.06
0.04
0.09
0.44
(+/2+) Atf/eV
Incu
0.60
3.04
2.9
2.8
4.4
22.4
3.34
1.54
1.4
7.5
7.5
7.5
5.5
5.0
"Difference between the valence/conduction band energy for acceptor/donor states; formation energy At/ of the neutral defect in the stoichiometric material; ccovalent; rfionic. All energies in eV. Source: The ionisation energies in italics are derived from Abou-Elfotouh et al. (1991), and the formation energies in brackets from Neumann (1983). All the bold numbers are from Zhang et al. (1998).
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Table 7.1 summarises the ionisation energies and the defect formation energies of the twelve intrinsic defects in CulnSe2. The energies given in bold type for VCu, V,„, Cm, Cm„ and Inc„ were obtained from a first-principles calculation, whereas the formation energies in italics were calculated from the macroscopic cavity model. The numbers in the first column represent the ionisation states of the defects. Device-relevant
defects
Let us now concentrate on the defects experimentally detected in photovoltaic grade (and thus In-rich) polycrystalline films. In-rich material is in general highly compensated, with a net acceptor concentration of the order of 1016 cm" . The shallow acceptor level Vc„ (which lies about 30 meV above the valence band) is assumed to be the main dopant in this material. As compensating donors, the Se-vacancy Vsc as well as the double donor InCu are considered. The most prominent defect is an acceptor level about 270-300 meV above the valence band, which is reported by several groups from deep-level transient spectroscopy (Igalson and Schock, 1996) and admittance spectroscopy (Schmitt et al., 1995; Walter et al., 1996b). This defect is also present in single crystals (Igalson et al., 1995).
high-energy tail D, ~exp(-l//l/*)
£ KT1
0.1
0.2 0.3 0.4 0.5 Activation energy C/eV
0.6
Figure 7.5 Defect density spectrum obtained from admittance spectroscopy of a ZnO-CdS-CuInGaSe2 heterojunction. The peaks Ni and N2 can be related to interface and bulk defects (see inset).
As an example. Fig. 7.5 displays a defect density spectrum obtained from admittance spectroscopy by the method of Walter et al. (1996a). The transition at -300 meV exhibits a broadened energy distribution with a tail in the defect density
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U. Rau and H. W. Schock
towards larger energies. This tail-like distribution is best described by a characteristic energy U*, as shown in Fig. 7.5. This defect is detected, not only in In-rich, but in equal amounts also in Cu-rich polycrystalline materials (Herberholz, 1998). An assignment of this defect to the Cu^ anti-site is in agreement with the theoretical calculations of Zhang et al. (1998) as well as with the proposition of several experimentalists. The importance of this transition derives from the fact that its concentration is related to the open-circuit voltage of the device (Herberholz et al, 1997a) and that the defect seems to be involved in the defect metastability (Igalson and Schock, 1996) (cf. Section 7.4.6). The lower-energy transition in Fig. 7.5 is attributed to interfacial defects, rather than to a bulk defect (Herberholz et al., 1998) because its activation energy can vary between 50 meV and 250 meV depending on air-annealing prior to the measurement (Rau et al, 1999a). Thus, the activation energy of this transition measures the depth At/ Fn from the vacuum level of the (electron) Fermi level and the conduction-band energy at the Cu(In,Ga)Se2 surface (Herberholz et al, 1998), as shown in the inset of Fig. 7.5.
7.3 7.3.1
Cell and module technology Structure of the heterojunction solar cell
The complete layer sequence of a ZnO/CdS/Cu(In,Ga)Se2 heterojunction device is shown in Fig. 7.6. It consists of a typically 1 fjm thick Mo layer deposited on a sodalime glass substrate and serving as the back contact for the solar cell. The Cu(In,Ga)Se2 is deposited on top of the Mo back electrode as the photovoltaic absorber material. This layer has a thickness of 1-2 /an. The heterojunction is then completed by chemical bath deposition (CBD) of CdS (typically 50 nm) and by the sputter deposition of a nominally undoped (intrinsic) /-ZnO layer (usually of thickness 50-70 nm) and then a heavily doped ZnO layer. As ZnO has a band-gap energy of 3.2 eV it is transparent for the main part of the solar spectrum and therefore is denoted as the window layer of the solar cell. We will first mention four important technological innovations which, during the last decade, have led to a considerable improvement of the efficiencies and finally to the record efficiency of 18.8% (Contreras et al, 1999). These steps are the key elements of the present Cu(In,Ga)Se2 technology.
Cu(ln,Ga)Se2
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Solar Cells
,ZnO:AI - /-ZnO .CdS - Cu(ln,Ga)Se2 .Mo
. glass
^ Figure 7.6
Schematic layer sequence of a standard ZnO-CdS-Cu(In,Ga)Se2 thin-film solar cell.
1. The film quality has been substantially improved by the crystallisation mechanism induced by the presence of CuvSe (y < 2). This process is further supported by a substrate temperature close to the softening point of the glass substrate (Stolt et al., 1993). 2. The glass substrate has been changed from Na-free glass to Na-containing sodalime glass.(Hedstrom et al., 1993; Stolt et al., 1993). This has led to an enormous improvement of the efficiency and reliability of the solar cells, as well as to a larger process tolerance. It was first assumed that this improvement was due to better match of thermal expansion coefficients, but the beneficial impact of Na—diffusing from the substrate through the Mo back contact—on the growth of the absorber layer and its structural and electrical properties was soon recognised. 3. Initially, the absorbers consisted of pure CuInSe2- The partial replacement of In with Ga (Devaney et al., 1990) is a further noticeable improvement, which has increased the band gap of the absorber from 1.04 eV to 1.1-1.2 eV for the highefficiency devices. The benefit of 20-30% Ga incorporation stems not only from the better band-gap match to the solar spectrum but also from the improved electronic quality of Cu(In,Ga)Se2 with respect to pure CuInSe2 (Hanna et al., 2000; Herberholz etal., 1999). 4. The counter electrode for the CuInSe2 absorber of the earlier cells was a 2 ,um thick CdS layer laid down by Physical Vapour Deposition (PVD). This has been replaced by a combination of a 50 nm thin CdS buffer layer laid down by chemical bath deposition (Potter et al., 1985; Birkmire et al., 1989; Mauch et al, 1991) and a highly conductive ZnO window layer.
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The effect of items 1-4 on the electronic properties and performance of Cu(In,Ga)Se2 solar cells will be considered in detail below, as we discuss the preparation of a Cu(In,Ga)Se2 solar cell step by step.
7.3.2
Absorber preparation techniques
Basics The preparation of Cu(In,Ga)Se2-based solar cells starts with the deposition of the absorber material on a Mo-coated glass substrate (preferably soda-lime glass). The properties of the Mo film and the choice of the glass substrate are of primary importance for the final device quality, because of the importance of Na, which diffuses from the glass through the Mo film into the growing absorber material. Some processes use blocking layers such as SiN^, Si0 2 or Cr between the glass substrate and the Mo film to prevent the out-diffusion of Na. Instead, Na-containing precursors like NaF, Na2Se or NaS are now deposited prior to absorber growth to provide a controlled, more homogeneous, incorporation of Na into the film. The control of Na incorporation in the film from precursor layers allows the use of other substrates like metal or polymer foils. There seems to be no fundamental efficiency limitation due to the substrate provided a proper supply of sodium is provided. During absorber deposition, a MoSe2 film forms at the Mo surface (Wada et ah, 1996; Takei etal., 1996). MoSe2 is a layered semiconductor withp-type conduction, a band gap of 1.3 eV and weak van der Waals bonding along the c-axis. If the layer were oriented parallel to the plane of contact, the MoSe2 would inhibit adhesion of the absorber as well as leading to unfavourable electronic transport. Fortunately, the caxis is found to be in parallel with, and the van der Waals planes thus perpendicular to the interface (Wada et al., 1996). Because of the larger band gap of the MoSe2 compared with that of standard Cu(In,Ga)Se2 films, the MoSe2 layer provides an electronic mirror for the photogenerated electrons and at the same time provides a low-resistance contact for the holes (see Section 7.4.1). Photovoltaic-grade Cu(In,Ga)Se2 films have a slightly In-rich overall composition. The allowed stoichiometry deviations are astonishingly large, yielding a wide process window with respect to composition. Devices with efficiencies above 14% are obtained from absorbers with (In + Ga)/(In + Ga + Cu) ratios between 52 and 64% if the sample contains Na (Ruckh et al., 1994a). Cu-rich Cu(In,Ga)Se2 shows the segregation of a secondary Cu2.ySe phase preferentially at the surface of the absorber film. The metallic nature of this phase does not allow the formation of efficient
Cu(In,Ga)Se2
Solar Cells
289
Vapour
Fte-es/aporation Conderealion ,
Liquid
QoAth /
Solid
/ QjInSea
Substrate
Figure 7.7 Schematic illustration of the growth of a Cu(In,Ga)Se2 film under Cu-rich conditions. A quasi-liquid Cu-Se phase acts as a flux in a vapour-liquid solid growth mechanism.
heterojunctions. Even after removal of the secondary phase from the surface by etching the absorber in KCN, the utility of Cu-rich material for photovoltaic applications is limited, probably due to the high doping density of 1018 cm -3 in the bulk and the surface defects. However, the importance of the Cu-rich composition is given by its role during film growth. Cu-rich films have grain sizes in excess of 1 /an whereas In-rich films have much smaller grains. A model for the film growth under Cu-rich compositions comprises the role of Cu2o,Se as a flux agent during the growth process of co-evaporated films (Klenk et al., 1993). This model for the growth of Cu(In,Ga)Se2 in the presence of a quasi-liquid surface film of CuySe is highlighted in Fig. 7.7. For Cu(In,Ga)Se2 prepared by selenisation, the role of C^-^Se is similar (Probst et al., 1996), therefore growth processes for high quality have to go through a copper-rich stage and end with an indium-rich composition. Co-evaporation processes The absorber material yielding the highest efficiencies is Cu(In,Ga)Se2 with a Ga/(Ga + In) ratio of -20%, prepared by co-evaporation from elemental sources. Figure 7.8 sketches a co-evaporation set-up as used for the preparation of laboratoryscale solar cells and mini-modules. The process requires a maximum substrate temperature of -550 C for a certain time during film growth, preferably towards the end of growth. One advantage of the evaporation route is that material deposition and film formation are performed during the same processing step. A feed-back loop
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U.RauandH. W. Schock substrate heater thermo element
chalcogen sources Figure 7.8 Arrangement for the deposition of Cu(In,Ga)Se2 films by co-evaporation on a heated substrate. The rates of the sources are controlled by mass spectrometry.
based on a quadrupole mass spectrometer or an atomic absorption spectrometer controls the rate of each source. The composition of the deposited material with regard to the metals corresponds to their evaporation rates, whereas Se is always evaporated in excess. This precise control over the deposition rates allows for a wide range of variations and optimisations with different sub-steps or stages for film deposition and growth. These sequences are defined by the evaporation rates of the different sources and the substrate temperature during the course of deposition. Figure 7.9 illustrates some of the possibilities, starting with a simple single-step process where all rates as well as the substrate temperature are kept constant during the whole process (Fig. 7.9a). Advanced preparation sequences always include a Cu-rich stage during the growth process and end up with an In-rich overall composition in order to combine the large grains of the Cu-rich stage with the otherwise more favourable electronic properties of the In-rich composition. The first example of this kind of procedure is the so-called Boeing or bilayer process (Mickelsen and Chen, 1980), which starts with the deposition of Cu-rich Cu(In,Ga)Se2 and ends with an excess In rate, as illustrated in Fig. 7.9b. Another possibility is the inverted process where first (In,Ga)2Se3 (likewise In, Ga, and Se from elemental sources to form that compound) is deposited at a lower temperatures (typically around 300 C). Then Cu and Se are evaporated at an
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elevated temperature until an overall composition close to stoichiometry is reached (Kessler et al, 1992). This process leads to a smoother film morphology than the bilayer process. The most successful version of the inverted process is the so-called three-stage process (Gabor et al., 1994) shown in Fig. 7.9c. This process puts the deposition of In, Ga, and Se at the end of an inverted process to ensure the overall Inrich composition of the film even if the material is Cu-rich during the second stage. The three-stage process currently leads to the best solar cells. Variations of the Ga/Inratio during deposition, as shown in Fig. 7.9d, allow the design of graded band-gap structures. (Gabor et al., 1996).
a) single layer
h.Go
F.
Cu
6C0 3C0 Time b) bi-layer
Time a) g r a d e d b a n d g a p
Time
Time
Figure 7.9 Schematic rate and substrate temperature profiles for co-evaporation processes. All processes lead to single-phase films, (a) Single-layer process without Cu-rich growth step; (b) bilayer process ('Boeing recipe') with Cu-rich growth at the start; (c) three-stage inverted process with intermediate Cu-rich growth; (d) growth of graded-gap films under Cu-poor conditions
Selenisation
processes
The second class of absorber preparation routes is based on the separation of deposition and compound formation into two different processing steps. High efficiencies are obtained from absorber prepared by selenisation of metal precursors in H2Se (Binsma and Van der Linden, 1982; Chu et al, 1984; Kapur et al, 1987) and by rapid thermal processing of stacked elemental layers in a Se atmosphere (Probst et al.,
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1996). These sequential processes have the advantage that approved large-area deposition techniques such as sputtering can be used for the deposition of the materials. The Cu(In,Ga)Se2 film formation then requires a second step, the selenisation. The very first large-area modules were prepared by the selenisation of metal precursors in the presence of H2Se more than ten years ago (Mitchell et al., 1988). Today, a modification of this process is providing the first commercially available Cu(In,Ga)Se2 solar cells, manufactured by Siemens Solar Industries. This process is
DEPOSITION
heating
SELENISATION
H2S inlet
Figure 7.10 Illustration of the sequential process. Stacked metal layers are selenised and converted into CulnSe2 in FhSe atmosphere.
schematically drawn in Fig. 7.10. First, a stacked layer of Cu, In and Ga is sputterdeposited on the Mo-coated glass substrate. Then selenisation takes place under H2Se. To improve device performance, a second thermal process under H2S is added, resulting in an absorber that is Cu(In,Ga)(S,Se)2 rather than Cu(In,Ga)Se2. A variation of this method that avoids the use of the toxic H2Se during selenisation is the rapid thermal processing of stacked elemental layers (Probst et al., 1996). Here the precursor includes a layer of evaporated elemental Se. The stack is then selenised
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by a rapid thermal process (RTP) in either an inert or a Se atmosphere. The highest efficiencies are obtained if the RTP is performed in an S-containing atmosphere (either pure S or H2S). On the laboratory scale, the efficiencies of cells made by these preparation routes are smaller by about 3% (absolute) as compared with the record values. However, on the module level, co-evaporated and sequentially prepared absorbers have about the same efficiency. Sequential processes need two or even three stages for absorber completion. These additional processing steps may counterbalance the advantage of easier element deposition by sputtering. Also the detailed and sophisticated control over composition and growth achieved during co-evaporation is not possible for the selenisation process. Fortunately, the distribution of the elements within the film grown during the selenisation process turns out to be close to what one could think to be an optimum, especially if the process includes the sulphurisation stage. Since the formation of CuInSe2 is much faster than that of CuGaSe2, and because film growth starts from the top, Ga is concentrated towards the back surface of the film. An increasing Ga content implies an increase in band-gap energy. This introduces a socalled back-surface field, improving carrier collection at the same time as minimising back-surface recombination. In turn, S from the sulphurisation step is found preferentially towards the front surface of the film, where it reduces recombination losses and also increases the absorber band gap in the space-charge region of the heteroj unction. Other absorber deposition processes Besides selenisation and co-evaporation, other deposition methods have been studied, either to obtain films with very high quality or to reduce cost of film deposition on large areas. Methods that are used to form epitaxial III-V compound films, such as molecular beam epitaxy (MBE) (Niki et al., 1994) or metal organic chemical vapour deposition (MOCVD) (Gallon et al., 1998) have revealed interesting features for fundamental studies, such as phase segregation and defect formation, but cannot be used to form the base material for high-efficiency solar cells. Attempts to develop so-called low cost processes include electrodeposition, (Abken et al., 1998; Lincot et al., 1998) screen printing and particle deposition (Eberspacher et al., 1998). Electrodeposition can be carried out in either one or two steps. The crucial step is final film formation in a high-temperature annealing process. The recrystallisation process competes with the decomposition of the material, so process optimisation is quite difficult. Cells with good efficiencies were obtained by electrodeposition of a Cu-rich CuInSe2 film and subsequent conditioning by a vacuum
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evaporation step of In(Se) (Ramanathan et al, 1998a). Films prepared by spray pyrolysis did not lead to high-performance devices. Influence of sodium The outstanding role played by Na in the growth of Cu(In,Ga)Se2 films was realised some years ago (Hedstrom et al, 1993; Stolt et al, 1993; Ruckh et al, 1994a). In most cases, the Na comes from the glass substrate and diffuses into the absorber. But there are also approaches where Na is incorporated by the use of Na-containing precursors such as NaSe (Holz et al., 1994; Nakada et al, 1997), Na 2 0 2 (Ruckh et al, 1994a), NaF (Contreras et al, 1997a) or Na2S (Nakada et al, 1998). Other alkali precursors have been investigated by Contreras et al. (1997), who found that Nacontaining precursors yielded the best cell efficiencies. The most obvious effects of Na incorporation are better film morphology and higher conductivity of the films (Ruckh et al, 1994a). Furthermore, the incorporation of Na induces beneficial changes in the defect distribution of the absorber films (Keyes et al, 1997; Rau et al, 1998b). The explanations for the beneficial impact of Na are manifold, and it is most likely that the incorporation of Na in fact results in a variety of consequences. During film growth, the incorporation of Na leads to the formation of NaSe* compounds. This slows down the growth of CuInSe2 and could at same time facilitate the incorporation of Se into the film (Braunger et al, 1998b). Also the widening of the existence range of the oc-(CuInSe2) phase in the phase diagram, discussed above, as well as the reported larger tolerance to the Cu/(In + Ga) ratio of Na-containing thin films, could be explained in this picture. Furthermore, the higher conductivity of Na-containing films could result from the diminished number of compensating Vse donors. Wolf et al. (1998) investigated the influence of Na incorporation on the formation of CuInSe2 films from stacked elemental layers by means of thin-film calorimetry. The addition of Na inhibits the growth of CuInSe2 at temperatures below 380 C. The retarded phase formation is responsible for the better morphology in the case of Na-containing samples. Another explanation put forward by Kronik et al. (1998) is that Na promotes oxygenation and passivation of grain boundaries. This could account for the observed enhancement of the net film doping by Na incorporation, through the diminished positive charge at the grain boundaries. It has in fact been observed that the surfaces of Na-containing films are more prone to oxygenation than are Na-free films (Braunger et al, 1998a).
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The above explanations deal with the role of Na during growth. However, the amount of Na in device-quality Cu(In,Ga)Se2 films is of the order 0.1 at%, which is a concentration of 1020 cm"3 (Niles et al., 1997), and one may ask the question: where are these tremendous quantities of Na in the finished absorber? The electronic effect, i.e. the change of effective doping resulting from Na incorporation, is achieved at concentrations of ~1016 cm"3, four orders of magnitude below the absolute Na content. It has long been believed that the main part of the Na is situated at the film surface and the grain boundaries. Final evidence for this hypothesis was recently found by Niles et al. (1999) with the help of high spatial resolution Auger electron spectroscopy. Heske et al. (1996, 1997) investigated the behaviour of Na on the surface of polycrystalline Cu(In,Ga)Se2 films by X-ray photoelectron spectroscopy (XPS). They found two different species of Na: (i) The first, denoted 'reacted', was observed on the air-exposed sample or after storing the sputter-cleaned sample for three days in an ultra-high vacuum (UHV). The second, denoted 'metallic', was found on clean samples either after annealing at 410 K in UHV or after deliberate Na deposition from a metallic source. The latter species is considered to be the active one during crystal growth. In addition, Heske et al. found an increase of band bending of -150 meV induced by the deposition of Na. This finding, as well as the occurrence of two different Na species, is consistent with results obtained from vacuum-cleaved single crystals (Klein and Jaegermann, 1996). Another interpretation of the beneficial effect of Na is based on the incorporation of Na into the Cu(In,Ga)Se2 lattice (Niles et al., 1997). Niles and co-workers identified Na-Se bonds by means of XPS and concluded that the Na is built into the lattice, replacing In or Ga. The extrinsic defect Nain/Ga should then act as an acceptor and improve the p-type conductivity. The incorporation of Na into the Cu(In,Ga)Se2 lattice is supported by X-ray diffraction measurements that indicate an increased volume of the unit cell (Contreras et al, 1997a). Here, the authors assume that Na in a Cu site prevents the formation of the deep double donor InCu- Schroeder and Rockett (1997) found that Na driven into epitaxial Cu(In,Ga)Se2 films at a temperature of 550 C decreases the degree of compensation by up to a factor 104. Schroeder and Rockett attributed their findings to an Na-enhanced reorganisation of the defects, which allows them to build electrically passive clusters. We see from these numerous approaches that, despite the significance of Na incorporation, the benefit is far from being explained in terms of simple models. However, we feel that in view of the amounts of Na (~0.1 at%) necessary for optimum film preparation, arguments based on its effect on film growth are slightly favoured over those based on the incorporation of Na into the completed film.
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Influence of oxygen Air annealing has been an important process step, crucial for the efficiency especially of the early solar cells based on CuInSe2. Also, though often not mentioned explicitly, an oxygenation step is still used for most of the present-day high-efficiency devices. The beneficial effect of oxygen was explained within the defect chemical model of Cahen and Noufi (1989). In this model, the surface defects at grain boundaries are positively charged Se vacancies V&. (Fig. 7.11a). During air annealing, these sites are passivated by O atoms (Fig. 7.11b). Because of the decreased charge at the grain boundary, the band bending and the recombination probability for photogenerated electrons are reduced. The surface donors and their neutralisation by oxygen are important for the free Cu(In,Ga)Se2 surface as well as for the formation of the surface states
Uc
\
dangling bonds
/ grain boundaries
/
c
\
•
ln;
''
)qVb
^V
Figure 7.11 Band diagram of the conduction and valence band energies across a single grain of Cu(In,Ga)Se2. (a) The electronic states at the grain boundaries are positively charged. This surface charge is compensated by the negative charges in the depleted grain. This induces the band-bending electronic states at the grain boundaries shown at the left-hand grain boundary, and the defect chemical equivalent, dangling bonds, shown at the right-hand boundary; (b) oxygen passivates these dangling bonds and reduces the band bending.
CdS/Cu(In,Ga)Se2 interface (Kronik et al, 2000). Electrical analysis of oxidised and unoxidised samples revealed the validity of the Cahen-Noufi model for the earlier CdS/CuInSe2 devices (Sasala and Sites, 1993), as well as for the more recent ZnO/CdS/Cu(In,Ga)Se2 heterostructures (Rau et al, 1999b; Kronik et al, 1998).
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(a)
(b)
(c)
Film surface I Grain boundary SCR
Substrata
Substrate
Substrate
Figure 7.12 Illustration of grain boundary and interface charges during the fabrication of a Cu(In,Ga)Se2/CdS heterojunction. (a) On as-prepared films, both grain boundaries and the film surface are positively charged because of the presence of the dangling bonds, (b) Air exposure or air annealing neutralises these charges, (c) The oxide passivation of the surface is removed by the chemical bath deposition process of CdS. The re-established positive charges give rise to a type inversion of the CuInSe2 surface.
The intriguing interplay between surface oxygenation and the deposition of the CdS buffer layer is visualised in Fig. 7.12. In the initial state (Fig. 7.12a), the film surface as well as the grain boundaries are electrically active owing to the positively charged dangling bonds. These charges create a large space-charge region within the grain. Air annealing passivates the dangling bonds at both interfaces. The bands become essentially flat, and space charge essentially vanishes (Fig. 7.12b). Eventually, the chemical bath removes the passivating oxygen and thus re-establishes the beneficial type inversion of the film surface (Fig. 7.12c).
7.3.3 The free Cu(In,Ga)Se2 surface The surface properties of CIGS thin films are especially important, as this surface becomes the active interface of the completed solar cell. However, the band diagram of the ZnO/CdS/Cu(In,Ga)Se2 heterojunction, especially the detailed structure close to the CdS/Cu(In,Ga)Se2 interface, is still under debate. Figure 7.13 depicts three different possibilities corresponding to three different approaches: (a) the ordered defect compound model of Schmid et al. (1993); (b) the surface-state model of Rau et al. (1999a); and (c) the defect layer model of Niemegeers et al. (1998) and Herberholz et al. (1999). The free surfaces of as-grown Cu(In,Ga)Se2 films exhibit two prominent features:
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1. The valence band-edge energy Uv lies above the surface-Fermi level £/F by about 1.1 eV for CuInSe2 films (Schmid et al, 1993). This energy is larger than the bandgap energy U"g of the bulk of the absorber material. This was taken as an indication for a widening of band gap at the surface of the film. For example, for the surfaces of Cu(In1_JGax)Se2 thin films it was found that UT-UV = 0.8 eV (almost independent of the Ga content if x > 0) (Schmid et al, 1996b). 2. The surface composition of Cu-poor CuInSe2, as well Cu(In,Ga)Se2 films, corresponds to a surface composition of (Ga + In)/(Ga + In + Cu) of about 0.75 for a range of bulk compositions of 0.5 < (Ga + In)/(Ga + In + Cu) < 0.75. Both observations have led to the assumption that a phase segregation of Cu(In,Ga)3Se5, the socalled Ordered Defect Compound (ODC), occurs at the surface of the films. The segregation of this /3-phase would be compatible with the phase diagram (see Fig. 7.3) and, as this material displays n-type conductivity, could yield the explanation for the surface type inversion. Unfortunately, the existence of a separate phase on top of standard Cu(In,Ga)Se2 thin films has, to our knowledge, not yet been confirmed by structural methods such as X-ray diffraction, high resolution transmission electron microscopy or electron diffraction. Furthermore, if the surface phase exhibited the weak n-type conductivity of bulk Cu(In,Ga)3Se5, simple charge neutrality estimates (Herberholz et al, 1999) show this would not be sufficient to achieve type inversion. The space-charge width in a CIGS absorber of doping density 3 x 1016cm"3 is approximately 300 run. This would require a charge density of 2 x 1018 cm"3 in a 15 nm thick ODC layer to warrant charge neutrality. This required n-type doping density is considerably more than that usually found in Cu(In,Ga)3Se5 compounds. Based on these arguments, another picture of the surface of Cu(In,Ga)Se2 thin films and of junction formation has emerged. As sketched in Fig. 7.13b, the type inversion can be viewed as resulting from the presence of shallow surface donors. This is the classical Bardeen picture (Bardeen, 1947) of Fermi level pinning by electronic states at semiconductor surfaces. Here, a surface-charge density of a few times 1012 cm"2 eV"1 is sufficient to pin the Fermi level at the neutrality level of free semiconductor surfaces. The positively charged surface donors in Fig. 7.13b are expected to be present in the metal-terminated (112) surface of CuInSe2 because of the dangling bond to the missing Se (Cahen and Noufi, 1989). The type inversion vanishes on air exposure because the surface donors are passivated by the reaction of oxygen with the metal-terminated surface, as discussed in Section 7.3.2 in the context of the Cahen-Noufi model.
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defect layer
a s
Figure 7.13 Models for the CuInSe2 surface: (a) Segregation of a Cu-poor CuInjSes ODC on the surface; (b) band bending due to surface charges; (c) band bending induces Cu-depletion at the surface, creating a surface defect layer. The valence-band energy is lowered due to Cu depletion. The defect layer provides an internal barrier <&i to the electron transport (Niemeegers, 1999).
Surface states play also an important role in the completed heterostructure, where they become interface states at the absorber/buffer interface. As we noted above, one prominent feature of the defect spectrum of the ZnO/CdS/CIGS heterostructure (transition Ni in Fig. 7.5) arises from the charging and discharging of these states. The defect layer model shown in Fig. 7.13c represents in some sense a compromise between the ODC model and the surface defect model, as it takes into account a modification of the band structure due to the Cu deficiency of the surface as well as the presence of positively charged surface states due to the missing surface Se. However, the defect layer model considers the surface layer not as n-type bulk material (as does the ODC model) but as a pMayer (cf. Fig. 7.13c). Furthermore, the defect layer is viewed not as the origin, but rather as the consequence, of the natural surface type inversion. In contrast to the ODC model, surface states are responsible for the band bending. In turn, this band bending leads to the liberation of Cu from its lattice sites and to Cu migration towards the neutral part of the film (Herberholz et al., 1999). The remaining copper vacancies VCu close to the surface result in a high density of acceptor states, i.e., the //-defect layer at the film surface.
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Heterojunction formation
The ZnO/CdS/CIGS solar cell structure is usually completed by chemical bath deposition (CBD) of CdS (typically 50 nm) and by the sputter deposition of a nominally undoped (intrinsic) «'-ZnO layer (usually of thickness 50-70 nm) and then by heavily doped ZnO. This three-step process appears at the moment to be mandatory for high efficiency devices, but a convincing explanation of the need for such a relatively complicated three-layer structure, especially the role of the /-ZnO, is not available at the moment. Buffer layer deposition Surface passivation and junction formation is most easily achieved by the CBD deposition of a thin CdS film from a chemical solution containing Cd ions and thiourea. (Kessler et ah, 1992). The benefit of the CdS layer is manifold: 1. CBD deposition of CdS provides complete coverage of the rough polycrystalline absorber surface at a film thickness of only 10 nm (Friedlmeier et al., 1996). 2. The layer provides protection against damage and chemical reactions resulting from the subsequent ZnO deposition process. 3. The chemical bath removes the natural oxide from the film surface (Kessler et al, 1992) and thus re-establishes positively charged surface states and, as a consequence, the natural type inversion at the CdS/Cu(In,Ga)Se2 interface. 4. The Cd ions, reacting first with the absorber surface, remove elemental Se, possibly by the formation of CdSe. 5. The Cd ions also diffuse to a certain extent into the Cu-poor surface layer of the absorber material (Ramanathan et al., 1998b; Wada et al, 1998), where they possibly form Cdc„ donors, thus providing positive charges which support the type inversion of the buffer/absorber interface. 6. As we will discuss below, the open-circuit voltage limitations imposed by interface recombination can be overcome by a low surface recombination velocity in addition to the type inversion of the absorber surface. Thus one might conclude that interface states (except those shallow surface donors responsible for the type inversion) are also passivated by the chemical bath. Owing to the favourable properties of CdS as a heterojunction partner and the chemistry of the CBD process, it is difficult to find a replacement, although avoiding
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CdS and the chemical bath step would be advantageous from the point of view of production. First, a toxic material such as CdS requires additional safety regulations and, second, the chemical bath deposition does not fit with the vacuum deposition steps of an in-line module fabrication. Research and development in this area relates to two issues: (i) the search for alternative materials for chemical deposition, and (ii) the development of ways to deposit the front electrode without an intermediate step in a chemical bath. Promising materials to replace CdS are In(OH,S), Zn(OH,S) and ZnSe. However, all these materials require additional precautions to be taken for the preparation of the absorber surface or front electrode deposition. Window layer deposition The most commonly used material for the preparation of the front electrode is ZnO doped with B or Al. In some cases, doping with Ga or In is claimed to be advantageous. The first large-area modules produced by ARCO Solar (later Siemens Solar Industries) had a ZnO:B window layer deposited by chemical vapour deposition (CVD). Later production facilities at Boeing and EUROCIS use sputtering processes. Present pilot production lines also favour sputtering. As mentioned above, an undoped /-ZnO layer with a thickness of about 100 ran is needed at the heteroj unction in order to achieve optimum performance. Stability of the ZnO layer in humid environments is a major concern. Indium Tin Oxide (ITO) is superior in this respect.
7.3.5 Module production and commercialisation Monolithic interconnects One inherent advantage of thin-film technology for photovoltaics is the possibility of using monolithic integration for series connection of individual cells within a module. In contrast, bulk Si solar cells must be provided with a front metal grid, and each of these front contacts has to be connected to the back contact of the next cell for series connection. The interconnect scheme, shown in Fig. 7.14, has to ensure that the front ZnO of one cell is connected to the back Mo contact of the next one. Three different patterning steps are necessary to obtain this connection,. The first interrupts the Mo back contact by a series of periodical scribes and thus defines the width of the cells, which is about 0.5-1 cm. For Mo patterning, a laser is normally used. The second patterning step is performed after absorber and buffer deposition, and the final one after window deposition. Scribing of the semiconductor layer is performed by
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2nd patterning <
Figure 7.14
• 3rd patterning
Interconnect scheme and patterning of a Cu(In,Ga)Se2 (CIGS) based module.
mechanical scribing or laser scribing. The total width of the interconnect depends not only on the scribing tools, but also on the reproducibility of the scribing lines along the entire module. The typical interconnect width is of the order of 300 fjm. Thus, about 3-5% of the cell area must be sacrificed to the interconnects. Module fabrication Figure 7.15 shows the typical sequence for the production of a Cu(In,Ga)Se2 module. The technologies for absorber, buffer and window deposition used for module production are the same as those discussed above for the production of small laboratory cells. However, the challenge of modules is to transform the laboratoryscale technologies to much larger areas. Basically, the scheme in Fig. 7.15 applies to both of the two concepts currently used for large-area absorber preparation, selenisation and co-evaporation. The selenisation process uses as much off-the-shelf equipment and processing as possible (e.g., sputtering of the metal precursors) for fabricating Cu(In,Ga)Se2 films. For co-evaporation on large areas, the Centre for Solar Energy and Hydrogen Research in Stuttgart (ZSW) has designed its own equipment, shown in Fig. 7.16, for an in-line process. Line-shaped evaporation sources allow continuous deposition of large-area, high-quality Cu(In,Ga)Se2 films. The relatively high substrate temperatures that are necessary for high-quality material impose problems in handling very large area glass sheets. Future process optimisation therefore implies reduction of the substrate temperature.
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Mo sputtering laser patterning
Figure 7.15
Process sequence for the fabrication process of a Cu(In,Ga)Se2 module.
A bottleneck for the production is the deposition of the buffer layer in a chemical bath. First, it is not straightforward to integrate this process in a line consisting mainly of dry PVD processes. Second, it would be favourable to replace the CdS layer used at multiple sources raw plates
atmosphere
vacuum
deposition
atmosphere
conditioning
Figure 7.16 In-line evaporation system for the deposition of CuInSe2 thin film. The line source evaporates the material from top to bottom. Source: Dimmlcr (1997).
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present. Replacement of CdS by a Zn compound from solution solves part of the problem (Kushyia, 1999). A complete, Cd-free dry process has been demonstrated on a small area, but as yet it does not provide a large enough process window to be used for large-area modules. The transparent ZnO front electrode is put down either by CVD or sputtering. Each method has its specific advantages with respect to process tolerance, throughput, cost and film properties. The widths of the cells within the module—and therefore the relative losses from the patterning—mainly depend on the sheet resistance of the ZnO. Module encapsulation is an important issue because module stability depends on proper protection against humidity. Low-iron cover glasses provide good protection against ambient influences. Hermetic sealing of the edges is mandatory to obtain stable modules. Up-scaling achievements Cu(In,Ga)Se2 has excellent potential to reach more than 15% module efficiency in the near future. Mini-modules ranging in area from 20 to 90 cm that use the process sequence anticipated for use in a commercial module have already reached efficiencies around 14-15%. Recently, Siemens Solar Industries fabricated a 1 x 4 ft2 power module (-44 W) with an NREL-verified efficiency of 12.1%. Using a totally different approach to the deposition of the absorber layer, ZSW fabricated a 30 x 30 cm2 module with a verified efficiency of 12.7%. Table 7.2
Performance of Cu(In,Ga)Se2 cells and modules
Process Co-evaporation
Lab. cell Module eff. (%) eff. (%) 18.8 16.1
11.5 Selenisation
>16
13.9 12.7 9.6 5.6 14.7 12.1 14.7 14.2 11.6
Area (cm2) 90 800 135 240 19 3600 18 50 864
Laboratory/company NREL, USA (Contreras et al, 1999) ZSW/IPE, Germany ZSW, Germany Energy Photovoltaics, USA Global Solar (flexible cells), USA Angstrom Solar Centre, Sweden Siemens, USA and Germany Showa, Japan
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Table 7.2 shows more results of the different processes. For the future, module sizes up to 60 x 120 cm2 are planned in order to meet cost goals. Because of the promising results from the laboratory scale and the first approaches to up-scaling, several companies other than those mentioned in Table 7.2 now plan commercial production. Stability and radiation hardness Stability appears to be no problem for CuInSe2 modules during long-term outdoor testing and tests at elevated temperatures. The data in Fig. 7.17 obtained by the ZSW prove more than 1000 hours stability in hot (85 C) and humid (85% humidity) atmosphere. Cu(In,Ga)Se2 modules fabricated by Siemens Solar Industries have shown very good stability during more than 10 years outdoor operation (Gay, 1997). This, as well as their operation in space, has proved that there is no intrinsic
1.00
>
c g> 'o
n„«n.3%
I |
85 C, 85 % relative humidity according to IEC1646
0.90
b
0
400
800
1200
1600
Damp heat time/hours
Figure 7.17 Stability of two 30 x 30 cm2 CIS modules under damp heat test. After 1000 hours, the efficiency is still over 95% of the initial value. Data from M. Powalla, ZSW (1999).
mechanism that affects cell performance. On the contrary, cells often improve during operation. The stability inherent to the material system has recently been investigated (Rau et al., 1998a; Guillemoles, 2000). A self-healing mechanism due to defect relaxation with the help of mobile copper makes this material unique. Hence an important prospective application for Cu(In,Ga)Se2 cells is in space, where the main power source is photovoltaics. Space satellites in low-Earth orbits for communication systems require solar cells with high end-of-life efficiencies. Cu(In,Ga)Se2 has proven superior radiation hardness, which could make this type of cell the material of the future for space applications (Schock and Bogus, 1998; Jasenek et al, 2000a). The
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challenge for developing CIGS space cells is to reduce the weight by depositing the cells on foil substrates, and at the same time to retain the performance achieved with devices on soda-lime glass.
7.4
Device physics
7.4.1 Band diagram The device physics underlying electronic transport in thin-film solar cells is obviously the same as for (say) bulk silicon solar cells, and this is covered by Schumacher and Wettling in Chapter 2. However, in view of the fact that thin-film Cu(In,Ga)Se2 (and also CdTe cells) are heteroj unction cells, and because the absorber layer is only few times thicker than the space-charge region of the heteroj unction, we shall develop a description which concentrates more on these specific features. The equilibrium band diagram of the ZnO/CdS/Cu(In,Ga)Se2/Mo heterostructure in Fig. 7.18 shows the conduction and valence band energies I/C>v of the Cu(In,Ga)Se2 absorber, the CdS buffer layer and the ZnO window. The latter consists of the intrinsic and the highly Al-doped layer. Here, we completely neglect the polycrystalline nature of the semiconductor materials, which in principle requires a two- or threedimensional band diagram. We will restrict ourselves in the following to the implication of the one-dimensional diagram of Fig. 7.18. Even in the one-dimensional model, some details of the band diagram are still not perfectly clear. The diagram in Fig. 7.18 concentrates on the heteroj unction and does not show the contact between the Mo and Cu(In,Ga)Se2 at the back side of the absorber. Another feature under debate but neglected here is a 10-30 nm thick defect layer on top of the Cu(In,Ga)Se2 absorber, already discussed in Section 7.3.3. The energetic quantities describing the band diagram in Fig. 7.18 are the band gap energies £/*, where x = a,b,w for the absorber, buffer and window, respectively. The conduction/valence band offsets between the semiconductors are denoted MJf/v. The built-in or diffusion voltage of the p-type absorber is Vg whereas that of the n-type window/buffer is the sum of the contributions V£b from the buffer V£b and V^, from the window layer. Note that the quantities Vg/n as drawn in Fig. 7.18 are zero-bias quantities and change when an external voltage is applied. The important barriers £ and ®n„ can be calculated from 4>£ = qVb" + qp and <&nb = AL/f + AUFn = At/"* + AUbl+AUb2, where £p =UF-UV refers to the neutral bulk of the absorber and AfFn =UV -UF to the Cu(In,Ga)Se2/CdS interface. We will discuss the impact of $£ on interface recombination and that of <&"b on the fill factor in Section 7.4.3. A
Cu(In,Ga)Se2
Solar Cells
/-ZnO CdS
Cu(ln,Ga)Se2
—3E_._i
uc
II
Figure 7.18 Band diagram of the CIGS heterojunction showing the conduction and valence band-edge energies Uc and Uv. The quantities 0 £ and <&l are the barriers for holes and electrons, AUF„ is the energy distance between the Fermi level and the conduction band energy at the CdS/CuIn(Ga)Se2 heterointerface, AUJ* and AC,"* are the valence-band and conduction-band discontinuities at the buffer/absorber interface, and wp and w„ are the widths of the space-charge regions in the p-type absorber and the n-type window/buffer respectively.
simplified approach to describing the heterojunction and computing £ and <&"„ is given in Rau et al. (1999a). The most important quantities to be considered in the band diagram are the band discontinuities between the different heterojunction partners. Band discontinuities in terms of valence-band offsets LUyab between semiconductor a and b are usually determined by photoelectron spectroscopy (for a discussion with respect to Cu-chalcopyrite surfaces and interfaces, see Scheer, 1997). The valence-band offset between a (01 l)-oriented Cu(In,Ga)Se2 single crystal and CdS deposited by PVD at room temperature is determined as MJ* = -0.8 ( ± 0.2) eV (Nelson et al, 1993; Loher et al, 1995), and therefore MJ? =U™-U^+MJ? =0.55eV, with the band gaps U™ = 2.4 eV and U™ ~ 1.05 eV of CdS and CuInSe2, respectively. Several authors have investigated the valence-band discontinuity between polycrystalline Cu(In,Ga)Se2 films and CdS, and found values between 0.6 and 1.3 eV with a clear centre of mass around 0.9 eV, corresponding to a conduction-band offset of 0.45 eV
308
U. Rau andH. W. Schock
(Scheer, 1997). Wei and Zunger (1993) calculated a theoretical value of At/f = 1.03eV, which would lead to A t / ? = 0 . 3 e V . The band alignment of polycrystalline CuInSe2 and Cu(In,Ga)Se2 alloys was examined by Schmid et al. (1993, 1996a), who found that the valence-band offset is almost independent of the Ga content. In turn, the increase of the absorber band gap leads to a change of At/"4 from positive to negative values. The conduction-band offset between the CdS buffer and the ZnO window layer was determined by Ruckh et al. (1994b) to be 0.4 eV.
7.4.2
Short-circuit current
Optical losses The short current density ix that can be obtained from the standard lOOmW cm"2 solar spectrum (AM 1.5) is determined, on the one hand, by optical losses, that is, by the fact that photons from a part of the spectrum are either not absorbed in the solar cell or are absorbed without generation of electron-hole pairs. On the other hand, not all photogenerated electron-hole pairs contribute to isc because they recombine before they are collected. We denote these as recombination losses. Figure 7.19 shows the maximum ix that can be obtained from the standard AM 1.5G spectrum (Green, 1995, Appendix C) for photon energies hv> Ug hv>Ug , i.e., the photons that can contribute to the short-circuit current of a semiconductor of band-gap energy Ug. For pure polycrystalline CuInSe2 with Ug = 1.04 eV, this value is 46.8 mA cm"2. For Ug= 1.11 eV, the band-gap energy of the best Cu(In,Ga)Se2 solar cell, J'SC = 43.6 mA cm"2. Now we estimate how much absorber material is needed to achieve this photocurrent. The light absorption in a semiconductor is described by the Lambert-Beer law. The irradiance E decays exponentially with depth x into the semiconductor according to E(x) = E0 exp(-ax)
(7.1)
where E0 is the incident irradiance and a the absorption coefficient. For direct semiconductors, a depends on the photon energy hv according to
a{hv) = a±
£_ hv
(7.2)
Cu(ln,Ga)Se2 Solar Cells
309
50 40 30
1 ^8
20 10 0t
J
•
1
1
1
1
20
•
1
1
L
L—l
I
I
l__J
•
•
2.5
Band-gap energy q/eV
Figure 7.19 Short-circuit current density from the AM 1.5 solar spectrum and corresponding to the band -gap energies of various chalcopyrite compounds, of a typical Cu(In,Ga)Se2 alloy (Ug = 1.12 eV), and of the heterojunction partners. The inset shows the losses that occur if less than 1.25/0.5 [im material is available for light absorption.
The absorption coefficient of Cu(In,Ga)Se2 with a low Ga content is reasonably described by eq. 7.2 and a ~ 8 x 104 eV1/2cm_1. By reorganising eq. 7.2 we can calculate the excess energy Mv = /iv-{/„s =1 — a ' a
(7.3)
of photons that have an absorption coefficient larger than a given a. For instance, with absorption lengths La = a~l = 1.255 /jm and 0.5 /zm, we have A/iv = 10 and 62.5 meV. The inset in Fig. 7.19 shows that the losses A/sc corresponding to the photons that are not absorbed within 1.25 or 0.5 jjm of CuInSe2 are 0.9 mAcm - 2 and 3.0 mAcm , respectively. The lower-energy photons are either absorbed at the backmetal/absorber interface or reflected out of the cell. Thus a typical absorber of thickness 1.5 /an absorbs all the light from the solar spectrum except for a negligible remnant corresponding to less than 1 mA cm - .
310
U. Rau and H. W. Schock
Next, we have to recognise that light absorbed in the ZnO window layer does not contribute to the photocurrent. This loss affects absorption and photogeneration for photons of energy > 3.2 eV (the band-gap energy of ZnO). As shown in Fig. 7.19, this loss of high-energy photons costs about 1.3 mA cm"2. In addition, photons in the energy range hv <1.4 eV are absorbed by free carriers within the conduction band of the window material. High-efficiency heterojunction solar cells avoid free carrier absorption by optimising the conductivity of the front electrode, not by a high concentration, but by the high mobility of the free carriers. In any case, for wide-gap absorbers with Ug > 1.4 eV this loss can be neglected. Another portion of the solar light is absorbed in the buffer layer. If, for instance, a CdS buffer layer caused a sharp cut-off of the spectral response at the band gap of 2.4 eV, only a total of 38 mA cm-2 or 35.5 mA cm""2 would be available for the shortcircuit current of a CuInSe2 or Cu(In,Ga)Se2 (Ug = 1.11 eV) solar cell, respectively. However, measurements of the External Quantum Efficiency (EQE) of a typical ZnO/ CdS/Cu(In,Ga)Se2 heterostructure reveal that the EQE typically drops by a factor of only -0.8 in the wavelength range between the band gap of CdS and that of the ZnO window layer. About 70-80% of the photons in the wavelength range 440-510 nm contribute to i^ because the thin buffer layer does not absorb all photons and about 50% of the electron-hole pairs created in the buffer layer still contribute to the photocurrent (the hole recombination probability at the buffer/absorber interface is relatively low (Engelhardt et al, 1999). Collection loss analysis The most common characterisation method of solar cells other than current-voltage analysis is the measurement of the quantum efficiency. The EQE at a given wavelength X is defined as the number of electron-hole pairs contributing to the photocurrent divided by the number of photons incident on the cell. A quantitative evaluation of the EQE can be used to determine the diffusion length Le if the data are corrected for reflection losses and absorption losses in the window material and if the absorption data of the absorber material are known for the wavelength regime where the absorption length is in the order of Le (Arora et al., 1980). This analysis has been performed in the past by several authors for different types of devices (Klenk and Schock, 1994; Parisi et al, 1998). An alternative way to determine the diffusion length in solar cells is provided by Electron Beam Induced Current (EBIC) measurements. Two approaches are possible: planar EBIC, where the electron beam is scanned over the device surface, and junction EBIC, where the device is cleaved and the beam is scanned along the cross section
Cu(In,Ga)Se2 Solar Cells
311
(Jager-Waldau et al., 1991). For CIGS, the values for Le extracted from EQE and EBIC measurements are -0.5-1.5 /J.m.
7.4.3
Open-circuit voltage
Diode characteristics At open circuit, no current flows across the device and all photogenerated charge carriers have to recombine within the solar cell. The possible recombination paths for the photogenerated charge carriers in the Cu(In,Ga)Se2 absorber are indicated in the band diagram of Fig. 7.20. Here we have considered recombination in the neutral bulk (A) and at the back surface of the absorber (A'), recombination in the space-charge region (B), and recombination at the buffer/absorber interface (C). The dotted lines indicate that the latter two mechanisms may be enhanced by tunnelling in the presence of a high built-in electrical field. Cu(ln,Ga)Sft.
Figure 7.20 Recombination paths in a CdS-Cu(In,Ga)Se2 junction. The paths A and A' represent bulk and back-contact recombination. B and C result from space-charge and interface recombination. The dotted arrows indicate tunnelling.
At the back contact we have drawn the thin MoSe2 layer which forms during the first minutes of absorber deposition. As drawn here, the MoSej has a small conduction-band offset with respect to the Cu(In,Ga)Se2 bulk material and a small Schottky barrier at the Mo back contact. Both features are beneficial for device performance, because the conduction band offset between the Cu(In,Ga)Se2 absorber and the MoSe2 acts as an electronic mirror (the so-called back surface field) for the
U.RauandH. W. Schock
312
photogenerated electrons and diminishes back-surface recombination, and the narrow Schottky barrier provides no substantial resistance for holes between the absorber and the metallic back contact. We emphasise, however, that the details of this band diagram are still under debate. The basic equations for the recombination processes (A-C) can be found in Bube (1992) or Chapters 1 and 2 of this book. All recombination current densities irec for processes A-C can be written in the form of a diode law
W =UexP
PkT t
(7.4)
-1
where V is the applied voltage, /3 the diode quality factor, and kTlq the thermal voltage. The saturation current density i0 is in general a thermally activated quantity and may be written in the form '«. ^ h = 'oo exp kT
(7.5)
where ua is the activation energy and the prefactor j,*, is only weakly temperaturedependent. The quantities «0and /3 depend on the details of each recombination mechanism. Since mechanisms A-C are connected in parallel, the strongest one will dominate the recombination loss. At open circuit, the total recombination current density irec exactly compensates the short-circuit current density iK. Hence we can write the open-circuit voltage in the form
v^SL-BE.^
'L^
(7.6)
where we have assumed that V^ >3/3kT/q, which allows us to consider only the exponential term in eq. 7.4. We have also replaced the activation energy ua by Ua =fiua, which will prove in the following to be the 'true' activation energy of the carrier recombination processes. We shall now discuss the recombination processes A-C in more detail.
313
Cu(In,Ga)Se2 Solar Cells Recombination in the absorber
In the following we shall assume a n -p junction, i.e. that the doping density on the nside is much higher than on the p-side. Shockley's diode equation for such a singlesided junction yields the saturation current density for recombination in the neutral region of the (p-type) absorber. Knowing the square of the intrinsic carrier density n] = NCNV exp(-Ug IkT) we calculate the open-circuit voltage as
U* q
kTjqDeNcN^ q
LN*Le
(7.7)
where De is the diffusion constant for electrons, and Nclv the effective density of states in the conductance/valence band. (For our calculations we have used the values Nc = 6.7 x 1017cm~3 and Nv=l.5x 1019cm"3 resulting from the density-of-states effective masses me =0.09m 0 and mh = 0.71 m0 for electrons and holes, respectively, where m0 is the free electron mass (Neumann, 1986). The quantity NA is the acceptor density, and Le is the diffusion length of the electrons. If this becomes comparable with the thickness d of the quasi-neutral region (QNR) of the absorber, the recombination velocity Sb at the back contact has to be taken into account (recombination path A' in Fig. 7.20), and Lt in eq. 7.7 has to be replaced by cosh sh cosh (z-1) + s i n h ( r l ) where Sb = Sb Le IDe and / = Le Id. Since the width of the space-charge region in thin-film solar cells is comparable with the film thickness, recombination in the space-charge region is important. The Vx -limitation due to recombination in the space-charge region (SCR) of the absorber may be written in a form comparable to eq. 7.7, namely
V.-2L-=II. q
q
kTDenl2^NcNv i E I2
(7.9)
where £m = (2qNAVbm /es) is the electrical field at the position of maximum recombination. The quantity £m depends on the doping density NA, the band bending Vbm, and the dielectric constant es of the absorber. The dependence of eqs. 7.7 and 7.9 on
314
U. Ran and H. W. Schock
the doping density NA is equal in that an increase of NA by one order of magnitude yields an increase of Vx of &VX = (kT In 10) / q ~ 60 raV . However, improving the open-circuit voltage by increasing the doping density is limited by the increased Auger recombination in the QNR and the enhancement of tunnelling in the SCR (Green, 1996a). In eq. 7.9, the activation energy U„ is given by U„ = Aua = 2ua = Ug, whereas in the diode equation for space-charge recombination, the saturation current density is io °= exp (Ug/2kT) and the activation energy is only Ug/2. This demonstrates that we have to correct the activation energies obtained from, for example, Arrhenius plots of the temperature dependence of /„ for the effect of non-ideal diode behaviour in order to obtain the activation energy relevant to VK. Diffusion length L„/ fim
1
05
1
5
' '
' >^1
Sb=10'cmj^£^
.,.'. ...
0.40
0.70 s8
1 0.65
s£^°^S*=\tfcm
y
i 1
Ope
-Cf I
/ /
i
0.60
- 0.45
/
1 i
!
sH
0.50
8
• K.
i:
//
• 0.55
0.55
.... 0.1
.
: i
10
100
0.60
Lifetime t„/ns
Figure 7.21 Correlation of the open-circuit voltage with lifetimes and diffusion lengths for a device with a band gap of 1.12 eV. Solid lines are the results of eq. 7.9 for £,.<0.7/tm. For Le>Q.l fim, eq. 7.7 holds if effective diffusion lengths that take back-surface recombination into account are introduced. The lines with symbols arc the results of a complete device simulation.
In Fig. 7.21 we display the open-circuit voltage limitations given by eqs. 7.7 and 7.9 for a Cu(In,Ga)Se2 solar cell with an absorber layer thickness of 1.5 /jm, a bandgap energy Ug of 1.11 eV and a short-circuit current density /„. of 35.4 mA cm - . The top and the bottom axes, showing the electron diffusion length Le and the lifetime re, are connected by Lr =(z>,T,)"2and a diffusion constant which is here assumed to be De = 2.59 cm2s"'. As the open-circuit voltages in eqs. 7.7 and 7.9 can be shifted by the band-gap energy, we have used the right-hand axis of Fig. 7.21 to display the difference (Ug/q) - V^.
Cu(In,Ga)Se2 Solar Cells
315
For the record Cu(In,Ga)Se2 solar cell (Contreras et al., 1999), this difference is only (1.12- 0.68) V = 0.44 V. The open-circuit voltage of this device requires a lifetime of 30 ns or more, corresponding to a diffusion length of over 2 /an, thus exceeding the absorber thickness. Hence recombination at the back contact also has some influence on V,*—a recombination velocity Sb >105 cm s"1 would hardly allow a VocOfeSOmV. Since the open-circuit voltage of reasonable Cu(In,Ga)Se2 devices (VQC ~ 0.5 V) is just at the threshold between SCR and QNR recombination, we have also conducted some numerical simulations using the software package SCAPS-1D (Niemeegers and Burgelman, 1996). The results for assumed back-surface recombination velocities 5„= 102 cms"1 and 105 cms"1 are also displayed in Fig. 7.21. Here we see that recombination can be well described only outside a transition regime of 1 ns < T„ < 30 ns (0.5 /an < Le < 3 fJm) by the analytical approaches for SCR or QNR recombination. Within this parameter range, the recombination paths A, A' and B contribute to recombination. Note that we have suppressed interface recombination (path C) by setting the recombination velocity for holes at the front contact to Sp = 102 cm s"1 and assuming a hole barrier <X>£ = 1 eV. Effective lifetimes for polycrystalline semiconductors Cu(In,Ga)Se2 solar cells are based on polycrystalline absorbers. Electronic transport in such devices is not completely covered by one-dimensional models. However, quasione-dimensional approaches are possible as long as the influence of grain boundaries on the recombination and charge distribution is not too strong. A first-order approximation is the replacement of the minority-carrier lifetime te by an effective lifetime T^ y , which includes the interface recombination velocity Sg at the grain boundaries. This is given by 1 Tpoly
- U ^ T*
e
(7.10)
where xbe is the minority-carrier lifetime within the grain volume and g denotes the grain size. With the help of eq. 7.10, we can still use eqs. 7.7 and 7.9 if we also use the effective diffusion length Z^Jy for polycrystalline materials, given by .poly
_
'(C°)- 2 + 2S g /(Ds)J" 2
(7.11)
316
U. Rau and H. W. Schock
instead of Leff = L™°"°. For more details, and the limitations of eqs. 7.10 and 7.11, see Green (1996b), Brendel and Rau (1999) and Jensen et al. (2000). Distribution of recombination centres An approach to describing the temperature dependence of current-voltage curves which is useful for Cu(In,Ga)Se2 devices was introduced in Walter et al. (1996b). This approach does not use recombination centres of a single energy within the forbidden gap, but rather a distribution of the form DT(U) = DTOexp(-U I kT*), where the centres are exponentially distributed in energy. The defect density DT(U) has units of cm"3 eV~' and kT* denotes the characteristic energy of the exponential distribution. The characteristic energy U* = kT* is also seen in the defect density spectra obtained from admittance spectroscopy (see Fig. 7.5). A rigorous mathematical treatment for the recombination current density under this assumption is given in Rau et al. (2000). The recombination current density can be written in the form
,exp
(fikTJ exp
fikT
(7.12)
where the pre-exponential term i^ is weakly temperature dependent, and the diode quality factor is given by f
T \
1+ T
(7.13)
The importance of this approach is on the one hand that a defect distribution with a characteristic energy kT* of the order of 100-150 mV is often observed in Cu(In,Ga)Se2 as well as in CuGaSe2. On the other hand, it has been shown by Walter et al. (1996b) and Engelhardt et al. (1998) that the temperature dependence of the current-voltage characteristics of high efficiency Cu(In,Ga)Se2 solar cells in the temperature range 2O0K
Cu(In,Ga)Se2 Solar Cells
317
Interface recombination Here we consider the simple case of an inverted interface, as shown in Fig. 7.13. If the recombination centres are not too close to the conduction band, the recombination rate is dominated by the concentration p \if of free holes at the interface. From the band diagram and taking the interface recombination velocity for holes as Sp and the diffusion potential at the p-side of the heteroj unction as Vg , the recombination current density is given by
( L
= qS N e x p
=
kT
(7.14) kT
with t;=UF-Uv in the QNR of the Cu(In,Ga)Se2 absorber. In general, a voltage applied over the heteroj unction does not drop only across the p-type part of the junction. Rather, a change AK in the externally applied bias is shared between the ptype and n-type part according to &V = (l-a)AV£ +CCAVQ where AVg/AVp is the ratio of the diffusion potential in the /?-type and n-type components. Note that the calculation of the voltage share between the two heteroj unction partners in a complicated heterojunction like that shown in Fig. 7.18 is not straightforward. Here we simply use a linear approach with the coefficient a (0 < a < 1). The diode law can be written equivalently by the use of a voltage-dependent barrier <5>pb (V) = £0 +aV , where
L = 1sPNv e*P
(
fqV kT
exp
|
kT = *S,tf,exp
<J>"
- exp kT
(
qV{\-aj
(7.15)
kT
By comparison of the coefficients we find that the coefficient a is linked to the diode quality factor by f3=(l—a)~l. Finally, we write the open-circuit voltage for interface recombination as
Of
fikT1
•In
(qSpNv
(7.16)
•/sc
where -
318
U.RauandH. W. Schock
CuInSe2 absorber were approximately equal, so the band bending in the two heteroj unction partners was also equal. In terms of eq. 7.16 and the band diagram, the open-circuit voltage was determined by a relatively low value of <&£ and a high value of Sp. The use of a highly doped ZnO layer and a CdS buffer layer of only several tens of nm in thickness in the actual high-efficiency ZnO/CdS/Cu(In,Ga)Se2 devices increases the band bending in the absorber and decreases the recombination velocity for holes at the heterointerface. For these recent state-of-the-art devices, it is believed that recombination in the bulk of the absorber is the dominant loss mechanism. Tunnelling In the presence of high electrical fields, interface recombination as well as spacecharge recombination may be enhanced by tunnelling. As shown in Fig. 7.20, the charge carriers do not have to overcome the entire energetic barrier, but only a part of it in order to recombine. We denote this transport path as tunnelling-enhanced recombination because it can be described in very similar terms to the classical recombination mechanism merely by using modified recombination rates. A useful quantity within the theory of thermally-assisted tunnelling is the tunnelling energy
2
\mes
The tunnelling energy Uoo (commonly encountered in the literature as Em (Padovani and Stratton, 1966)) depends only on the material parameters NA, e, and the effective tunnelling mass m . First we consider the case of tunnelling-enhanced bulk recombination in the SCR. Here the modified recombination rate for tunnelling-assisted recombination can be integrated over the width of the space-charge region. For an exponential distribution of trap states, a convenient form of the diode law gives the diode quality factor as (Rau, 1999)
J__ J_ P~2
1 + —r-
Un
(7.18)
3(My
The recombination current density is again expressed by eq. 7.12, but with the quality factor given by eq. 7.18.
319
Cu(In, Ga)Se2 Solar Cells
The case of tunnelling-enhanced interface recombination can be treated by analogy with the thermionic field emission theory of Schottky contacts (Padovani and Stratton, 1966). The recombination current density is c
.,
ylnqVb(x)Um kTcoshiUgg/kT)
PkT exp
exp
1 kT
-1
(7.19)
and the quality factor u
P = ^ c o t h oo kT kT
(7.20)
is given in Padovani and Stratton (1966). Tunnelling-enhanced interface recombination is often invoked in interpretations of current-voltage curves of wide-band-gap materials such as CuInS2 (Hengel et al., 2000). Recombination loss analysis The analysis of the temperature dependence of current-voltage curves is one way to get closer access to the recombination mechanism relevant to the open-circuit voltage. Usually, current-voltage curves are recorded with different illumination intensities 1.2
j
1.0
0.8
0.6
s 0.4 100 200 Temperature 77K
300
Figure 7.22 The temperature dependence of the open-circuit voltage under various illumination intensities extrapolates at 0 K to the band-gap energy.
320
U. Rau andH. W. Schock
and at different temperatures. One evaluation method makes use of the temperature dependence of the open-circuit voltage. Following eq. 7.6, the open-circuit voltages obtained at different temperatures T but identical illumination intensities (corresponding to roughly the same ix) display a linear temperature dependence. Figure 7.22 shows that the V^T) curves in the temperature range 200-350 K extrapolate to an activation energy of 1.24 eV, indicating that the band-gap energy of the Cu(In,Ga)Se2 absorber material is the relevant activation energy for recombination. Such an evaluation works well as long as the diode quality factor in eq. 7.6 is not too temperature-dependent. An evaluation scheme that is able to invoke also temperature-dependent quality factors makes use of the fact that the saturation current density of all recombination processes discussed above can be written in the form
—
{kT
'ooeXP
{/3kT
(7.21)
Reorganisation of eq. 7.21 yields
/?ln
(i
\
r»)
(7.22)
kT
where Ua = <J>£ for interface and Ua = Ug for bulk recombination. Thus a modified Arrhenius plot of P In j 0 vs. 1/7 should yield a straight line with the relevant activation energy Ua as the slope. Figure 7.23a compares such modified Arrhenius plots of the saturation current densities i0 derived from three different Cu(In,Ga)Se2 based heterojunctions. The three curves stem from absorbers with different Ga contents X = 0, 0.28, and 1. The activation energies Ua =1.04 eV, 1.21 eV and 1.67 eV extracted from the modified Arrhenius plots correspond to the band-gap energies of the respective absorber materials. This indicates that recombination in all these devices takes place in the volume of the absorber. The corrected Arrhenius plots yield the activation energy of the recombination process whether or not the transport processes are enhanced by tunnelling. More specific information on the transport mechanism is obtained from the temperature dependence of the quality factor /?. We evaluate the quality factors with the help of eq. 7.18, as shown in Fig. 7.23b. From the fits we find for the CuInSe2 (x = 0) cell Um = 3.9 meV and kT* = 95 meV, for the Cu(In,Ga)Se2 cell U^ = 6.5 meV and kT' = 74 meV, and for CuGaSe2 Uw = 16 meV and kT' = 281 meV. Thus an increasing Ga
Cu(ln,Ga)Se2 Solar Cells
321
content in Cu(In,Ga)Se2, in general, increases the contribution of tunnelling as expressed by the increase of the characteristic tunnelling energy U^ in Fig. 7.23b. Temperature T(K) 300
200
100
—I—
0.004
0.006
0.008
0.01
Inverse temperature 1/7"(1/K)
0.7 -
CulnSe2
100
150
200
250
300
Temperature T(K) Figure 7.23 (a) Arrhenius plots of the reverse saturation current multiplied by the diode quality factor. Straight lines indicating an activation energy equal to the respective band-gap energy are evidence for bulk recombination; (b) The experimental data of the inverse quality factor vs. temperature can be fitted to the model that includes tunnelling.
However, for CuInSe2 and Cu(In,Ga)Se2 with moderate Ga content at room temperature the tunnelling contribution to recombination is insignificant. In contrast, for CuGaSe2 one extracts significant values of U^ (Nadenau et al., 2000).
322
7.4.4
U. Rau and H. W. Schock
Fillfactor
The fill factor FF of a solar cell can be expressed in a simple way as long as the solar cell is well described by a diode law. Green (1986, p. 96) gives the following phenomenological expression for the fill factor
FF0 =
l-ln(v ^
-0.7) '-
(7.23)
where v,,,. is the dimensionless quantity v,* = qVx ipicT and the fill factor FF0 results from the diode law alone. Thus FFQ depends on temperature as well as on the quality factor of the diode. Effects from series resistance Rs and shunt resistance Rsb also contribute to the fill factor losses. A good approximation is given by (
FF = FF
x
v^+0.7 F p V oc
/V sh
(7.24)
)
where FFX = FF0(1 - rs), rs=Rsix/Vx and rsh = RJx IVx. The description of Cu(In,Ga)Se2 solar cells in terms of eqs. 7.23 and 7.24 works reasonably well. For example, the world record cell has a fill factor of 78.6% and the value calculated from eqs. 7.23 and 7.24 is 78.0% (Voc = 678 mV, ^ = 3 5 . 2 mAcirf2, /?s = 0.2 Qcm 2 , Rsb = 104 Q cm2, j0=1.5: Contreras et a/., 1999). The dependence of the fill factor on the quality factor (bearing in mind that this also determines the open-circuit voltage) highlights the importance of this parameter for the output power of the solar cell. The diode quality factor /? L obtained from the illuminated current-voltage curve is often different from /? D of the dark curve, with /3L > /? D . One explanation for this important fact could be the finite barrier <&nb for the electron transport across the CdS/Cu(In,Ga)Se2 heterointerface. Looking at Fig. 7.18, a band offset AUcab ~ 0.3 eV between the absorber and the buffer layer seems to represent a substantial barrier hindering the collection of photogenerated electrons. The buffer/absorber interface shown in Fig. 7.6 can be roughly looked at as a Schottky barrier with a height nb = AUcttb + At/F„ and the photocurrent as the reverse current over this barrier. A simple calculation shows that the barrier does not provide a large series resistance to the cell as long as OJJ < 0.5 eV . The conductance of a Schottky contact with an effective Richardson constant A*=100 A cm-2 K"2 is G = (qA*T/k) exp [-®nb IkT] = 1.4 S cm-2 for
Cu(In,Ga)Se2
323
Solar Cells
with a reasonable open-circuit voltage. It has been shown by numerical calculations that a conduction band offset All"' below 0.4 eV does not affect the device performance (Niemegeers et al., 1995). However, at lower temperatures or for devices where the type inversion at the Cu(In,Ga)Se2 is less pronounced, i.e., the quantity A£/Fn is larger than 200 meV, the barrier $>"b becomes important as shown by experiments (Schmidt, 2000, p. 682) and numerical simulations (Topic et al., 1997).
7.4.5
Electronic metastabilities
The long time relaxation (over hours and days) of the open-circuit voltage of Cu(In,Ga)Se2 based solar cells during illumination is a commonly observed phenomenon (Ruberto and Rothwarf, 1987; Sasala and Sites, 1993). Fortunately, it turns out that in most cases the open-circuit voltage increases with illumination time, a situation which is more favourable than that encountered in a-Si:H (Staebler and Wronski, 1977). A first model for the open-circuit voltage relaxation of Cu(In,Ga)Se2 solar cells was proposed in Ruberto and Rothwarf (1987). This model relies on the reduction of interface recombination at the CdS/Cu(In,Ga)Se2 interface by additional charges introduced into the CdS buffer layer either by illumination under open-circuit conditions or by application of forward bias in the dark. The model is based on the assumption that interface recombination is the dominant recombination mechanism in the solar cells. The increase of positive charges in the buffer layer is assumed to increase the barrier £ and thus reduce interface recombination. However, as we noted above, the open-
fa)
(b)
Figure 7.24 Illustration of persistent changes of (a) the density of free charge carriers in the bulk, and (b) the charge density in the space-charge region.
324
U.RauandH. W. Schock
circuit voltages of the recent high-efficiency devices are limited by recombination in the bulk {i.e., in the SCR) rather than at the interface. Since these devices also show light-soaking effects, another mechanism, possibly additional to that proposed in Ruberto and Rothwarf (1987), must be at work. An important observation is that of persistent photoconductivity in Cu(In,Ga)Se2 thin films (Rau et al., 1998c) and single crystals (Seifert et al., 1997). Meyer et al. (1999) relate the persistent trapping of electrons as the origin of persistent photoconductivity (Fig. 7.24a) to the persistent increase of the charge density in the SCR of the heterojunction, as shown in Fig. 7.24b. This leads to another model for the open circuit voltage relaxation in Cu(In,Ga)Se2 solar cells: the gradual decrease of the electrical field in the SCR leads to a decrease of space-charge recombination, and finally to the increase of the open-circuit voltage during illumination. The band diagrams in Fig. 7.25 schematically compare the model of Ruberto and Rothwarf
(a)
(b)
Figure 7.25 Metastability effects in CIGS-based heteroj unctions, (a) Light-generated excess positive charges are persistently captured in the buffer layer and lead to an increase of the barrier &pb . The full (dashed) lines correspond to the band diagram before (after) illumination; (b) light-generated excess negative charges persistently trapped in the Cu(In,Ga)Se2 absorber layer lead to a decrease of the width of the p-side part of the space-charge region.
Cu(In,Ga)Se2 Solar Cells
325
(1987) with the more recent suggestion of the consequence of persistent photoconductivity in bulk Cu(In,Ga)Se2 (Meyer et al., 1999). In Fig. 7.25, the solid and dashed lines represent the band diagram before and after illumination, respectively. As shown in Fig. 7.25a, an increase of positive charge in the buffer layer increases the barrier
7.5
Wide-gap chalcopyrites
The system Cu(In,Ga)(S,Se)2 provides the possibility of fabricating alloys with a wide range of band-gap energies between the 1.04 eV of pure CuInSe2 up to 2.4 eV for CuGaS2. The achievement of higher voltages in the individual cells by increasing the band gap of the absorber material is important for thin-film modules. An ideal range for the open-circuit voltage would be between 1.4 and 1.6 eV. This increased voltage would reduce the number of scribes needed for monolithic integration of the cells into a module. The thickness of front and back electrodes could also be reduced because of the reduced current density. Higher band-gap materials also lower the temperature coefficient dPnm IdT of the maximum output power P^^ , i.e., the loss of conversion efficiency with increasing cell temperature. Higher band-gap materials thus also perform better at elevated temperatures. However, the highest efficiency within the chalcopyrite system is achieved with the relatively low band-gap energy Ug of 1.12 eV, and attempts to maintain the high efficiency level at Ug> 1.3 eV have so far failed. Table 7.3 compares the output parameters of the best chalcopyrite-based solar cells. This compilation clearly shows the superiority of Cu(In,Ga)Se2 with a relatively low Ga content, which leads to the actual world champion device. The fact that the best CuInSe2 devices has an efficiency of 3% below that of the best Cu(In,Ga)Se2 device is due not only to the less favourable band-gap energy but also to the lack of the beneficial effect of small amounts of Ga on film growth, discussed above.
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W. Schock
Table 7.3 Operating parameters of the best Cu(In,Ga)Se2, CuInSe2, CuGaSe2 and CuInS2 cells, and the best pentenary Cu(In,Ga)(S,Se)2 cell
VJmV /a/niA cm"2 FFf%
4/cm 2
Ref.
78.6
0.449
1
41.2
72.6
0.38
2
861
14.2
67.9
0.471
3
13.9*
775
24.3
74.0
0.5
4
11.1"
728
21.24
70.9
0.48
5
Material
tfg/eV f?/%
Cu(In,Ga)Se2
1.12
18.8"
678
35.2
CuInSe2
1.04
15.4*
515
CuGaSe2
1.68
8.3"
Cu(In,Ga)(S,Se)2
1.36
CuInS2
1.57
"Confirmed total area values; 'effective area values (not confirmed). References: 1. Contreras et al. (1999); 2. Stolt et al. (1993); 3. Nadenau et al. (1997); 4. Friedlmeier and Schock (1998); 5. Klaer et al. (1998).
The difficulty of obtaining wide-gap devices with high efficiencies is also illustrated by plotting the absorber band gap of a series of chalcopyrite alloys vs. the attained open-circuit voltages. Figure7.26 shows that below Ug = 1.3 eV, the data follow the straight line Voc = (Ug 14) - 0-5 eV, indicating a proportional gain in V^ with increasing Ug, whereas at Ug> 1.3 eV the gain is much more moderate. At the high band-gap end of the scale, the differences between the band-gap energies and the open-circuit voltages of CuInS2 and CuGaSe2 amount to 840 mV and 820 mV, respectively, whereas (Uglq) - Voc is only 434 eV in the record Cu(In,Ga)Se2 device. 1.2
5
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11
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4'
1 0.8
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0.5 1.0 CulnSe 2
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i
I
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1.3
1
1.4
, i ...
1.5
Band-gap energy L/g/eV CulnSz
i
1.6
1.7 CuGaSe 2
Figure 7.26 Open-circuit voltages of different Cu-chalcopyrite based solar cells of different band-gap energies. Full squares correspond to Cu(In,Ga)Se2 alloys, open squares to CuIn(S,Se)2, red circles and black crosses to Cu(In,Ga)(S,Se)2, downward triangles to CulnS2, and upward triangles to CuGaSe2.
327
Cu(In, Ga)Se2 Solar Cells
One reason for the large differences in Ug/q - V<>c in wide-gap devices is the less favourable band offset constellation at the absorber/CdS-buffer interface. Figure 7.27 shows the band diagram of a CuGaSe2-based heteroj unction. As the increase of band gap in going from CuInSe2 to CuGaSe2 takes place almost exclusively by increase of the energy of the conduction band, the positive band offset AUf between the absorber and the buffer in Fig. 7.18 turns into a negative one in Fig. 7.27. This implies that the barrier $£ that hinders the holes from the absorber from recombining with the electrons from the buffer does not increase proportionally with increase in the band-gap energy. Thus the importance of interface recombination (dominated by the barrier
ZnO
Figure 7.27 Energy band diagram for the ZnO/CdS/CuGaSe2 heteroj unction.
Using the same arguments with respect to the MoSe2/absorber interface, the backsurface field produced by this type of back contact turns into its contrary because the built-in field acts in the opposite direction when the conduction-band energy of the absorber is increased. At the moment, this drawback of Cu(In,Ga)Se2 with high Ga contents seems to be of minor importance. More substantial are the changes of the electronic quality of the bulk material with increasing x. Figure 7.28 (Hanna et al., 2000) compares the defect density spectra of different CuIni_/ja;cSe2 alloys with x = 0, 0.26, and 0.57. Two features are obvious: 1. The bulk defect at activation energy Ua = 300 meV displays a minimum defect density D for the composition x = 0.26. Higher band-gap material (x = 0.56), as well as lower band-gap material (x = 0), has higher defect densities. It might not be
328
U. Rau andH. W. Schock
incidental that the superior electronic quality of the material is found at that composition which is used to produce the highest efficiency Cu(In,Ga)Se2 devices. 2. The interface-related peak at lower activation energies for the compositions x = 0 and 0.26 is no longer visible at x = 0.56. This is just what we would expect from the band diagram shown in Fig. 7.28b: the Fermi level at the interface moves towards mid-gap and the type inversion is no longer seen in admittance spectroscopy.
Activation energy Ua/eV Figure 7.28 Admittance defect density spectra of solar cells with different CuIni-^Ga^Sei alloy compositions. The Ga content is varied from (a) x = 0 to (c) x = 0.58. The lowest density for the acceptor defect with an activation energy of ~300 meV is found at x = 0.26 (b).
Thus we see that bulk as well as interface properties change when going from low Ga content Cu(In,Ga)Se2 towards higher band-gap compositions over a limit which appears to be at x = 0.3, corresponding to a band-gap energy of 1.3 eV. A similar limit for S/Se alloying is not yet well established. It appears, however, that making use of the full alloy system Cu(In,Ga)(S,Se)2 enables us to go beyond the limit of 1.3 eV while preserving a high efficiency level.
7.5.7
CuGaSe2
CuGaSe2 has a band gap of 1.68 eV and therefore would represent an ideal partner for CuInSe2 in an all-chalcopyrite tandem structure. However, a reasonable efficiency for the top cell of any tandem structure is about 15%, far higher than has been reached by the present polycrystalline CuGaSe2 technology. Despite the recent increase of the record efficiency from 6.3% to confirmed 8.3% (9.3% active area) (Nadenau et al., 1997), we are still in the process of learning about CuGaSe2. The electronic properties of the material are not so far from those of CuInSe2. However, in detail, all the
Cu(In,Ga)Se2 Solar Cells
329
differences quantitatively point in a less favourable direction. In general, the net doping density NA in CuGaSe2 appears too high (Jasenek et al., 2000b). Together with the charge of deeper defects, the high doping density leads to a strong electrical field in the space-charge region, which enhances recombination by tunnelling. Furthermore, a structural difference exists between the bulk CuGaSe2 (chalcopyrite) phase and the surface (defect chalcopyrite) phase. Regardless of whether or not this 135-phase is perfectly formed at the film surface or is a defect layer, a lattice mismatch between the surface layer and the bulk material could account for the increased defect density, which seems operative for CuGaSe2 as well as for Cu(In,Ga)Se2 alloys with high Ga contents (Contreras et al, 1997b).
7.5.2 CuInSj The major difference between CuInS2 and Cu(In,Ga)Se2 is that the former cannot be prepared with an overall Cu-poor composition. Cu-poor CuInS2 displays an extremely low conductivity, making it almost unusable as a photovoltaic absorber material (Walter et al., 1992). Even at small deviations from stoichiometry on the In-rich side, segregation of the spinel phase is observed (Walter and Schock, 1993). Instead, the material of choice is Cu-rich CuInS2. As in the case of CuInSe2, a Cu-rich preparation route implies the removal of the unavoidable secondary phase (here, Cu2_^S) by etching the absorber in KCN (Scheer et al., 1993). Such an etch may involve some damage to the absorber surface as well as the introduction of shunt paths between the front and back electrodes. However, as shown in Table 7.3, the best CuInS2 device has an efficiency above 10% (Klaer et al., 1998). Remarkably, this is achieved by a sulphurisation process rather than by co-evaporation. The higher quality of the material from sulphurisation might be due to the higher activity of sulphur, and the consequently lower concentration of sulphur vacancies. Although results from coevaporated samples come close to those of sulphurised cells, CuInS2 is at the moment the only chalcopyrite for which two-step preparation proves itself to be superior to coevaporation. The main limitation of efficiency, at about 12%, comes from an opencircuit voltage that is too low as compared with the band gap. By adding Zn (Walter et al., 1995) or Ga (Neisser et al., 1999) to the absorber layer, voltages above 0.8 V can be achieved. However, efficiencies are still limited by reduced fill factors or shortcircuit current densities.
330
U. Ran and H. W. Schock
7.5.3 Cu(In,Ga)(S,Se)2 One possible way of overcoming the disadvantages of the ternary wide-gap materials CuInS2 and CuGaSe2 is to use the full pentenary alloy CuIn1_^Gax(Si_),Se>,)2 (Friedlmeier and Schock, 1998). Among the materials listed in Table 7.3, the pentenary system is the only one with an open-circuit voltage larger than 750 mV and an efficiency above 13%, outperforming CuInS2 in both these respects. The advantage of Cu(In,Ga)(S,Se)2 could arise from the mutual compensation of the drawback of CuGaSe2 (too high a charge density) and that of (Cu-poor) CuInS2 (too low a conductivity). Electrical analysis of Cu(In,Ga)(S,Se)2 demonstrates that even with a band-gap energy of 1.3 eV and more, this material still preserves the main features of T
•
J
i
I
'
I
•
r
>, § •D
2 io 1B 0.0
0.1
L
0.2
0.3
0.4
0.5
Activation energy 14/ eV
Figure 7.29 Defect density spectrum obtained from admittance spectroscopy of a Cu(In,Ga)(S,Se)2based heterojunction solar cell.
Cu(In,Ga)Se2. Figure 7.29 shows that the defect density spectrum of a Cu(In,Ga)(S,Se)2 solar cell is close to what we observe in high-efficiency Cu(In,Ga)Se2 cells. Compared with the high-Ga-content Cu(In,Ga)Se2 device shown in Fig. 7.28, the Cu(In,Ga)(S,Se)2 device displays a relatively moderate value of D™" = 2 x 1016 cnT3eV_1 for the maximum bulk defect density at the activation energy Ua fv 300 meV relevant to recombination. As in standard Cu(In,Ga)Se2, an interfacerelated transition appears at energy Ua ~ 200 meV, indicating the preservation of type inversion at the buffer/absorber interface. Thus, it seems that the overall positive features present in Cu(In,Ga)Se2 with Ug > 1.3 eV can be maintained for larger bandgap energies if one makes use of the full alloy system Cu(In,Ga)(S,Se)2.
Cu(In,Ga)Se2 Solar Cells 7.5.4
331
Graded-gap devices
An interesting property of the CuIni^Ga^S^Se^ alloy system is the possibility of designing graded-gap structures that optimise the electronic properties of the final device (Gray and Lee, 1994; Dhingra and Rothwarf, 1996; Gabor et al., 1996; Dullweber et al., 2000). Such band-gap gradings are achieved during co-evaporation by the control of the elemental sources, but selenisation/sulphurisation processes also lead to beneficial compositional gradings. The art of designing optimum band-gap gradings is to push back charge carriers from critical regions, i.e. regions with high recombination probability within the device. Such critical regions are 1) the interfaces between the back contact and the aborber layer; 2) the heterojunction, including the absorber/buffer interface. Figure 7.30 shows a band diagram of a grading structure that fulfils the requirements for minimising recombination losses. 1. To keep the back contact region clear from electrons, one can use a Ga/In grading. The increase of the Ga/(Ga + In) ratio x causes a movement of the conduction-band minimum upward with respect to its position in pure CuInSe2. An increase of x towards the back surface leads to a gradual increase of the conduction-band energy, as illustrated in Fig. 7.30. The resulting back-surface field, as in the Cu(In,Ga)Se2/MoSe2 heterocontact, drives photogenerated electrons away from the metallic back contact towards the buffer/absorber junction. 2. The minimisation of junction recombination, both at the point of equal capture rates of holes and electrons and at the metallurgical interface between absorber and buffer, requires a larger band gap towards the front contact to the absorber. If one had the choice, one would clearly favour a decrease of the valence-band energy, as shown in Fig. 7.30, over an increase of the conduction-band energy. This favours a grading with the help of S/Se alloying, as at least a part of the increasing band-gap energy is supported by a decrease of valence-bandedge energy. The decreased valence-bandedge energy in Fig. 7.30 leads to an increase of the barrier <&pb and thus minimises interface recombination. The favourable combination of In/Ga-grading towards the back contact and S/Se grading towards the front contact appears to be an inherent feature of the combined selenisation/sulphurisation processes, which has led to the highest efficiency devices obtained to date from sequential processing of stacked metallic or stacked elemental precursors.
332
U.RauandH. W. Schock
i-ZnO
Figure 7.30 Band diagram of an optimised graded-gap device with an increasing Ga/ln ratio towards the back surface (region I) and an increasing S/Se-ratio towards the front (region HI). Region II has no grading. The dotted lines correspond to the conduction- and valence-band energies of the non-graded device.
7.6 Conclusions The objective of this chapter was not only to describe the achievements of Cu(In,Ga)Se2-based solar cells, but also to give an account of our present understanding of the physical properties of the materials involved and the electronic behaviour of the devices. The fortunate situation of Cu(In,Ga)Se2, which is in a leading position among polycrystalline thin-film solar cell materials, arises from the benign, forgiving nature of the bulk materials and interfaces. Nevertheless, we want to draw the attention of the reader also to the work that has still to be done. As the trail to efficiencies close to or above 20% could become more and more narrow, a profound knowledge of what is to the left and to the right becomes more and more vital. Knowhow must be transferred into know-why. Three of the four cornerstones 1-4 for the recent achievements mentioned in Section 7.3 concern the growth of the films: the optimised deposition conditions, and the incorporation of Na and Ga. However, no detailed model is available definitively to describe the growth of Cu(In,Ga)Se2, and especially the impact of Na, which in our
Cu(In,Ga)Se2 Solar Cells
333
opinion is the most important of the different ingredients available to tune the electronic properties of the absorber. A clearer understanding of Cu(In,Ga)Se2 growth would allow us to find optimised conditions in the wide parameter space available, and thus to reduce the number of recombination centres and compensating donors and optimise the number of shallow acceptors. The deposition of the buffer layer, or more generally speaking, the formation of the heteroj unction, is another critical issue. The surface chemistry during heteroj unction formation and post-deposition treatments is decisive for the final device performance. Both processes greatly affect not only the surface defects (i.e., recombination and charge), and therefore the charge distribution in the device, but also the defects in the bulk of the absorber. Concentrated effort and major progress in these tasks would not only allow us to push the best efficiencies further towards 20%, but would also provide a sound knowledge base for the various attempts at commercialisation of Cu(In,Ga)Se2 solar cells. After more than twenty years of research, commercialisation is the real last frontier for this fascinating material. We are optimistic that Cu(In,Ga)Se2 can now deliver on its promises and enter the market place on a large scale.
Acknowledgements We thank all our colleagues in the IPE for various discussions and fruitful collaboration. We are especially grateful to J. H. Werner for his continuous support and his interest in this work. We thank H. Kerber, A. Jasenek, T. Dullweber, and G. Hanna for supplying some of the material used in this chapter, as well as I. Kotschau for the help with the bibliography. Critical reading of the manuscript by F. Pfisterer is especially acknowledged. This work is in major part supported by the German Ministry of Economics (BMWi) under contract 0328059F, and by the European Commission under contract JOR3-CT97-0149.
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Chu T. L., Chu S. C , Lin S. C. and Yue J. (1984), 'Large grain copper indium diselenide films', J. Electrochem. Soc. 131,2182-2184. Contreras M. A., Egaas B., Dippo P., Webb J., Granata J., Ramanathan K., Asher S., Swartzlander A. and Noufi R. (1997a), 'On the role of Na and modifications to Cu(In,Ga)Se absorber materials using thin MF (M = Na, K, Cs) precursor layers', Conf. Record. 26th. IEEE Photovoltaic Specialists Conf., Anaheim, IEEE Press, Piscataway, 359-362. Contreras M. A., Wiesner H., Tuttle J., Ramanathan K. and Noufi R. (1997b), 'Issues of the chalcopyrite/defect-chalcopyrite junction model for high-efficiency Cu(In,Ga)Se2 solar cells', Solar Energy Mat. Solar Cells 49, 239-247. Contreras M. A., Egaas B., Ramanathan K., Hiltner J., Swartzlander A., Hasoon F. and Noufi R. (1999), 'Towards 20% efficiency in Cu(In,Ga)Se2 polycrystalline solar cells', Prog. Photovoltaic Res. Appl. 7, 311-316. Coutts T. J., Kazmerski L. L. and Wagner S. (1986, ed.), Ternary Chalcopyrite Semiconductors: Growth, Electronic Properties, and Applications, Elsevier, Amsterdam. Devaney W. E., Chen W. S., Steward J. M. and Mickelson R. A. (1990), 'Structure and properties of high efficiency ZnO/CdZnS/CuInGaSe2 solar cells', IEEE Trans. Electron Devices ED-37, 428^133. Dhingra A. and Rothwarf A. (1996), 'Computer simulation and modeling of graded bandgap CuInSe2/CdS based solar cells', IEEE Trans. Electron Devices 43, 613— 621. Dimmler B. and Schock H. W. (1996), 'Scaling-up of CIS technology for thin-film solar modules', Prog. Photovoltaic Res. Appl. 4,425-433. Dullweber T., Hanna G., Shams-Kolahi W., Schwartzlander A., Contreras M. A., Noufi R. and Schock H. W. (2000), 'Study of the effect of gallium grading in Cu(In,Ga)Se2\ Thin Solid Films 361-362,478^181. Eberspacher C , Pauls K. L. and Fredric C. V. (1998), 'Improved processes for forming CuInSe2 films', Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, Joint Research Centre of the European Commission, EUR18656EN, 303-306. Engelhardt F., Schmidt M., Meyer Th., Seifert O., Parisi J. and Rau U. (1998), 'Metastable electrical transport in Cu(In,Ga)Se2 thin films and ZnO/CdS/Cu(In,Ga)Se2 heterostructures', Phys. Lett. A 245,489^93.
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CHAPTER 8
SUPER-HIGH EFFICIENCY III-V TANDEM AND MULTIJUNCTION CELLS MASAFUMI YAMAGUCHI Toyota Technological Institute, Nagoya 468-8511, Japan masafumi @ toyota-ti. ac.jp
The reasonable man adapts himself to the world: the unreasonable one persists in trying to adapt the world to himself. Therefore all progress depends on the unreasonable man. George Bernard Shaw, Man and Superman, 1903.
8.1 Introduction The development of high-performance solar cells offers a promising pathway toward achieving high power per unit cost for many applications. Substantial increases in conversion efficiency can be realised by multijunction solar cells in comparison with single-junction cells. The principles of multijunction cells were suggested in 1955 (Jackson, 1955) and multijunction solar cells have been investigated since 1960 (Wolf, 1960), as shown in Table 8.1. However, no significant progress was made in multijunction cell conversion efficiency during the period 1960-75 because of poor thin-film technologies. Based on progress in technologies for liquid-phase epitaxy, vapour-phase epitaxy and optical devices such as semiconductor lasers, AlGaAs/GaAs tandem cells, including tunnel junctions (Hutchby et al., 1985) and metal interconnections (Ludowise et al., 1982; Flores, 1983; Chung et al., 1989), were developed during the 1980s. At that time, the predicted efficiency of close to 30% was not obtained because of difficulties in making high performance and stable tunnel junctions, and oxygen-related defects in the AlGaAs materials (Ando et al., 1987). High performance and stable tunnel junctions with a double-hetero (DH) structure (the GaAs tunnel junction is sandwiched between AlGaAs layers) were proposed by Sugiura et al. (1988) of the Nippon Telegraph and Telephone Corporation (NTT) of Japan. Use of InGaP material for the top cell was proposed by Olson et al. (1990) of the National Renewable Energy Laboratory (NREL) of the United States, and as a result, a GalnP/GaAs tandem cell with an efficiency of 29.5% but small area of 0.25 cm2 was reported (Bertness et al.,
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1994). More recently, monolithically grown InGaP/GaAs two-junction solar cells have reached a highest efficiency of 30.3% (Takamoto et al., 1997a) at 1 Sun AMI.5. For concentrator systems, over 30% efficiency has been attained by GaAs/GaSb mechanically stacked cells (Fraas et al., 1990). Table 8.1
Progress of III-V tandem solar cell technologies
Date
Milestone
Location
1955 1960 1982 1982
Jackson Wolf MIT RTI Varian NTT
1994 1996 1997
Principle of multijunction solar cells Proposal of multijunction solar cells Optimal design for high efficiency 15.1% AlGaAs/GaAs tandem cell 15.7% AlGaAs/GaAs tandem cell 20.2% AlGaAs/GaAs tandem cell (double heterostructure tunnel junction) 27.6% AlGaAs/GaAs tandem cell (metal interconnector) 34.2% GaAs/GaAs tandem cell (mechanically stacked xlOO concentrator 27.3% InGaP/GaAs tandem cell 29.5% InGaP/GaAs tandem cell 30.3% InGaP/GaAs tandem cell 33.3% InGaP/GaAs/InGaAs mechanically stacked cell
1997
First satellite using InGaP/GaAs cells
1987 1989 1990
Varian Boeing NREL NREL J-Energy J-Energy Sumitomo Hughes Spectrolab
Figure 8.1 shows the chronological improvement in AM1.5 efficiencies of two-junction solar cells under 1 Sun and concentrator operation. As a result of improvements in device structures and epitaxial technologies, based on understanding the physics and materials science of multijunction cells, remarkable improvements in the efficiencies of two-junction cells have been obtained. This chapter describes the principles of multijunction solar cells, candidate materials, epitaxial technologies, multijunction cell configurations and cell interconnection technologies. Recent progress with laboratory cells is also reviewed and predictions for the future of multijunction cells are discussed.
Super-High Efficiency III-V
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349
Cells
40
10-
1980
1985
1990
1995
2000
Year
Figure 8.1 Chronological improvements in AM1.5efficienciesoftwo-junctionsolarcellsunder 1 Sunand concentrator operation.
8.2 Principles of super-high efficiency multijunction solar cells 8.2.1 Conversion efficiency analysis While single-junction cells may be capable of attaining AM 1.5 efficiencies of up to 27%, multijunction structures appear capable of realising efficiencies of up to 35% (Hutchby et al., 1985). As shown in Fig. 8.2, solar cells with different band gaps are stacked in tandem so that the cell facing the Sun has the largest band gap. This top cell absorbs all the photons at and above its band-gap energy and transmits the less energetic photons to the cells below. The next cell in the stack absorbs all the transmitted photons with energies equal to or greater than its band-gap energy, and transmits the rest downward in the stack, etc. As shown in Fig. 8.3 as one example, the predicted spectral response for an AlGaAs/GaAs/InGaAs monolithic, two-terminal three-junction cell (MacMillan etal., 1989) suggests a wideband photoresponse for multijunction cells. In principle, any number of cells can be used in tandem. Computer analysis of the performance of multijunction solar cells has been carried out by several researchers (Loferski, 1976; Lamorte and Abbott, 1980; Mitchell, 1981; Fan et al., 1982; Nell and Barnett, 1987; Amano et al., 1989). The following explanations are based on the results of Fan et al. (1982). Figure 8.4 shows AMI and AM0 iso-efficiency plots for a two-cell, two-terminal tandem structure at 27 C and 1 Sun. The maximum theoretical efficiencies for this system are 36.2% at AMI and 32.4% at AM0. For optimal efficiencies in the two-terminal structure, the allowable range of band gaps for the top and bottom cells is very narrow. For both AMI and AM0,
350
M.
Yamaguchi
o A
? "
1
Cell 1
i\ I
Cell 2
u,
••jy.
Cells
Ugl > Ug2 > Ug3
Figure 8.2
Spectrum-splitting scheme for achieving high conversion efficiency using tandem cells. Wavelength (nm) 1400 1000 800
600
500
0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 2.6 2.8 3.0
U(eV) Figure 8.3 Predicted spectral response for an AlGaAs/GaAs/InGaAs monolithic, two-terminal three-junction cell (MacMillan el id., 1989).
the top cell must have a band gap of about 1.75 eV, and the bottom cell about 1.1 eV. The four-terminal structure has an advantage over the two-terminal structure in that the photocurrents of the two elements do not have to match and a wide range of band-gap energies is allowable for the top and bottom cells. Figure 8.5 shows the AMI iso-efficiency curve at 27 C for tandem structures where the two cells have separate electrical connections. The maximum calculated efficiencies for this system are 36.6% at AMI and 32.9% at AM0, slightly higher than those of the two-terminal structure.
Super-High Efficiency III-V
> %
Tandem and Multijunction
1.50
//
1.25
E
Cells
351
TWO TERMINALS 27 C AM1
1.00
0.75
1.50
1.75
2.00
2.25
2.50
Top-cell band gap (eV)
1.50 TWO TERMINALS 27 C AMO 1.25
1.00
0.75 1.50
1.75
2.00
2.25
2.50
Top-cell band gap (eV)
Figure 8.4 Calculated AMI and AMO iso-efficiency plots for the two-cell, two-terminal tandem structure at 27 C and 1 Sun (Fan el at., 1982).
Although the optimum combination of 1.8 eV and 1.1 eV is very close to the optimal selection of 1.75 eV and 1.1 eV for the two-terminal tandem structure, there is a wide selection of acceptable band-gap energies. Figure 8.6 shows the AMI iso-efficiency plots at 27 C for the three-cell tandem structure with the cells connected in series. The curves are plotted for a bottom-cell band gap of 1.0 eV, because the maximum calculated efficiencies are obtained for a range of 0.95-1.0 eV. The optimal top/middle/bottom cell band-gap combination is 1.95/1.45/1.0 eV for the series-connected structure, and 2.15/1.55/1.0 eV for the separately connected one. The maximum theoretical efficiency at AMI is 41.1% for the series-connected structure and 42.5% for the separately connected structure. Computer analysis for two-junction solar cells under concentrator operation has also been carried out by some researchers (Mitchell, 1981; Wanlass et al., 1990). Figure 8.7 shows the AM 1.5 iso-efficiency curve for series-connected two-junction concentrator (500 Suns) tandem cells at 50 C (Wanlass et al., 1990). The optimum band-gap combinations and the maximum AM 1.5 efficiencies are 1.54/0.94 eV and
352
M.
Yamaguchi
1.50
> 1.25
1
1.00 AM1 Four terminals 27 C 0.75
1.50
1.75
2.00
2-25
2.50
Top-cell band gap (eV)
Figure 8.5 Calculated AM 1 iso-efficiency curve at 27 C and 1 Sun for tandem structures where the two cells are separately connected (Fan el at., 1982).
2.00Three cells Bottom-cell band gap = 1.00 eV Series-connected AM1
>
27 C
1.75-
1.50
1.25
1.75
2.00
2.25
2.50
Top-cell band gap (eV)
Figure 8.6 Calculated AM 1 iso-efficiency plots at 27 C and 1 Sun for the three-cell tandem structure with the cell connected in series. The bottom cell has a fixed energy gap of 1.0 eV (Fan el al., 1982). 4 2 . 0 % , and
1.42/0.72 eV and o v e r 4 1 % for t h e series-connected structure, and
1.63/0.94 eV and 42.1%, and 1.43/0.72 eV and over 41% for the separately connected one. Those for the two-junction cells at 80 C are 1.54/0.94 eV and 39.4% for the series-connected structure, and 1.64/0.94 eV and 39.7% for the separately connected one. The optimum band-gap combinations and the maximum AMO efficiency for the
Super-High Efficiency III-V
Tandem and Multijunction
Cells
353
two-junction cells at 100 Suns and 80 C are 1.70/1.04 eV and 35.0% for the series-connected structure, and 1.81/1.02 eV and 35.3% for the separately connected one. 2.0 i i • i i i i i i i i i i i i i i i i • i • • • i i i ' i i i i i i i i i i • • i i i •
Bottom-cell band gap (eV) Figure 8.7 Computed AM 1.5 iso-efficiency curve for series-connected two-junction concentrator tandem cells at 500 Suns and 50 C (Wanlass et al., 1990).
8.2.2
Cost
analysis
The allowable cost per unit area of solar cell modules depends strongly on module efficiency (Bowler and Wolf, 1980; Yamaguchi et al., 1994). Figure 8.8 shows the calculated tradeoff between the allowable cost of solar cells in dollars per square metre or dollars per peak watt and cell module efficiency for flat-plate modules (Bowler and Wolf, 1980). For example, a 30% efficient cell costing 3.5 times as much as a 15% efficient cell of the same area will yield equivalent overall photovoltaic system costs. Therefore high-efficiency cells will have a substantial economic advantage over low-efficiency cells, if the cost of fabricating such cells is low enough. For space applications, high-efficiency cells also have significant payload advantages. The use of concentrating systems can further enhance the cost advantage of high-efficiency cells. Figure 8.9 shows cost estimates for monolithically integrated two-junction solar cells with a III-V compound solar cell and a Si cell, fabricated by metal-organic chemical, vapour deposition (MOCVD), molecular beam epitaxy (MBE)
M. Yamaguchi
354
or chemical beam epitaxy (CBE) (Yamaguchi et al., 1994). As a result of source material cost reduction combined with the use of the tandem structure cell and a concentrator system, high-efficiency cells at a cost of less than $1/Wp should be possible.
10 12 14 16 18 20 22 24 26 28 30 AM1 module efficiency (%) Figure 8.8 Calculated curves relating the tradeoff between the allowable cost of solar cells in dollars per square metre or dollars per peak watt and cell module efficiency for flat-plate modules (Bowler and Wolf, 1980).
40 xu.1
• Factory O Equipment
30
• Labour BOthers im Dopant
20
0 V source
I o
S V source
xO.1
• Substrate
10
—
Present
Mass production
MOCVD (future)
1
—
MBE (future) CBE (future)
CBE + concentrator
Figure 8.9 Cost estimates for monolithically integrated two-junction solar cells consisting of a III-V compound solar cell combined with a Si cell, fabricated by metal-organic chemical vapour deposition (MOCVD), molecular beam epitaxy (MBE) or chemical beam epitaxy (CBE) (Yamaguchi el al., 1994).
Super-High Efficiency 1II-V Tandem and Mullijunciion
355
Cells
8.3 Candidate materials for multijunction cells and their present status 8.3.1 Lattice-matched systems The lattice parameter of the materials used to make the top and bottom cells must be closely matched in order to minimise misfit dislocations in the materials. In order to realise high performance, it is therefore important to consider the relation between the band gap and lattice constant shown in Fig. 8.10. The ideal band gap combination of band-gap energies of 1.7 and 1.1 eV yields a maximum AM 1.5 conversion efficiency of 36%. However, there does not exist within the III-V compounds a material that is lattice-matched to an inexpensive, commercially available bottom cell substrate material with a band gap of 1.1 eV. As the next possible band-gap combinations, 1.9/1.4 eV yields a maximum theoretical AM 1.5 efficiency of 34% at 1 Sun and 1.4 eV/0.73 eV yields 41% efficiency under 500 Suns AM 1.5. 2.5 2.0
«. 1.5
Q.
S m
1.0 0.5
'5.2
5.4
5.6 5.8 6.0 6.2 Lallice parameter (A)
6.4
6.6
Figure 8.10 Band-gap energies and lattice constants for III—V compounds and elemental semiconductors. AlGaAs/GaAs
two-junction
cell
T h e Alo.4Gao.6As/GaAs 2-junction cell, which h a s a
theoretical AM 1.5 efficiency of 34%, was favoured in the past (Bedair et al., 1981; Amano et al., 1987; Chung et al., 1989) because the device fabrication technologies for this system were fairly well developed. A 1.93 eV AlGaAs/GaAs metal-interconnected, two-terminal two-junction cell with an efficiency of 27.6% under 1 Sun AM1.5G and 23% at 1 Sun AM0 (Chung et al., 1989) has been reported. More recently, an AlGaAs/GaAs two-terminal two-junction cell with a tunnel-junction interconnector and an efficiency of 28.8% under 1 Sun AM1.5G has been demonstrated (Takahashi et al., 1998). However, there are problems with the growth of high-quality, oxygen-free AlGaAs and the fabrication of a high-conductance cell interconnect.
356
M. Yamaguchi
InGaP/GaAs two-junction cell The tandem combination of an Irio .5Gao.5P top cell with a direct band gap of ~ 1.9 eV and a GaAs bottom cell with a direct band gap of 1.43 eV has a theoretical efficiency of 34 % (Fig. 8.4). As in the case of InGaP/GaAs, the lattice parameters and current of these cells can both be matched. In addition, the absence of oxygen-related defects has enabled the development of high-efficiency InGaP/GaAs two-terminal, two-junction tunnel junction-connected cells with AM 1.5 efficiencies of 29.5% (Bertness et al., 1994) and later 30.3% (Takamoto et al., 1997a). Figures 8.11 and 8.12 show the structure and the I-V curve of the 4 cm2 InGaP/GaAs tandem solar cell with an efficiency of 30.3% under AM1.5G illumination. This high efficiency was achieved by increasing the InGaP top cell efficiency by improvements in the epitaxial growth process and introduction of a DH-structure InGaP tunnel junction with AllnP barriers. The InGaP/GaAs cells also have great potential for space applications, and cells with an AMO efficiency of 26.9% show superior radiation-resistant properties in comparison with single-junction GaAs or Si cells (Yamaguchi et al., 1997).
n"-lnGaP:0.050 um
2.0x10" cm - * (Si doped)
p-lnGaP: 0.550 j i m
1.5x10" cm" 3 (Zn doped)
p'-lnGaP:0.030 nm
2.0x10'" cm" 3 (Zn doped)
p'-AllnP: 0.030 nm <1.0x10" cm" 3 (Zn doped) p*-lnGaP:0.015jim 8.0x10 cm (Zn doped) rMnGaP:0.015um 1.0x10"cnV* (Si doped)
InGaP top cell
J InGaP tunnel junction —I
n'-AllnP: 0.050 urn
1.0x10" cm" 3 (Si doped)
n*-GaAs:0.100um
2 . 0 x 1 0 " cm" 3 (Si doped)
1
p-GaAs: 3.000 urn
1.0x10" cm" 3 (Zn doped)
GaAs bottom cell
p*-lnGaP:0.100|im
2.0x10"cm"
3
p*-GaAs: 0.300 urn
7.0x10'" cm" 3 (Zn doped)
p*-GaAs substrate
< 1 x 1 0 " c m " 3 (Zn doped)
(Zndoped)
Au
Figure 8.11 Structure of a 4 cm 2 InGaP/GaAs tandem solar cell, with an InGaP tunnel junction and AllnP barrier layers, with an efficiency of 30.3% (Takamoto el al., 1997a).
Super-High Efficiency I1I-V
Tandem andMultijunction
357
Cells
Cell area: 4 c m 2 AM1.5 global lOOmW/cm 2 25.3°C Isc
56.88mA
Voc
2.488V
FF
85.6%
Eff
30.28%
VOLTAGE (V) Figure 8.12 Current-voltage and power- voltage characteristics of a high efficiency InGaP/GaAs tandem cell under AMI.5 global illumination measured at JQA (Japan Quality Assurance Organization). Source: Takamoto etal. (1997a).
InP/lnGaAs two-junction cell The combination of InP with a band-gap energy of 1.35 eV and Ino.53 Gao^As with a band-gap energy of 0.75 eV is a lattice-matched system and has a theoretical conversion efficiency of 37% under 500 Suns AM1.5G and 33% under 500 Suns AM0 at 80 C (Wanlass et al., 1989). This system has also great potential for space applications, because InP cells are more radiation-resistant than other cells such as Si, GaAs cells and so forth (Yamaguchi et al., 1984). 31.8 % has been attained with an InP/InGaAs metal-interconnected three-terminal, monolithic two-junction cell under 50 Suns AM1.5 at 25 C (Wanlass et al, 1991). GaAs/Ge two-junction cell The combination of GaAs with a band-gap energy of 1.43 eV and Ge with a band-gap energy of 0.73 eV is also a lattice-matched system and yields 41% efficiency under 500 Suns AM1.5 at 50 C. A GaAs/Ge two-junction cell with efficiencies of 24.1% at 1 Sun AM1.5 and 21.3% at 1 Sun AM0 was fabricated by MOCVD (Vernon et al., 1989). The p-n junction in the Ge bottom cell was formed by in-diffusion of gallium and arsenic into the Ge from the growing GaAs cell structure during the MOCVD run and the cell interconnect was formed by a highly doped GaAs-Ge heteroj unction.
358
M. Yamaguchi
InGaP/GaAs/Ge three-junction cell The three-junction combination of an Ino.5Gao.5P top cell with a direct band gap of about 1.9 eV, a GaAs middle cell with a direct band gap of 1.43 eV and a Ge bottom cell with a band gap of 0.73 eV is lattice-matched and has a theoretical efficiency of 38% under 1 Sun AM1.5 and 42% under 400 Suns AM1.5 at 25 C (MacMillan et al., 1989). An InGaP/GaAs/Ge two-terminal threejunction cell using a tunnel junction with an efficiency of 26.5% under 1 Sun AMO has been demonstrated (Chiang et al, 1994). 2.0 eV/1.43 eV/1.05 eV/0.66 eV monolithic 4-junction cell The 4-junction combination of an InGaAlP (Ug = 2.0 eV) top cell, a GaAs (Ug = 1.43 eV) second-layer cell, a material third-layer cell with a band gap of 1.05 eV made of, for example, InGaAsP, and a Ge (Ug = 0.66 eV) bottom cell is lattice-matched and has a theoretical 1 Sun AMO efficiency of 42.3%. Although this system is ideal for maximum theoretical efficiency, the selection of the third-layer cell material and improvement in the material quality are problems still to be overcome.
8.3.2 Lattice-mismatched systems The attractive feature of lattice-mismatched materials is the availability of semiconductor alloys with precisely the band-gap energies needed to obtain the maximum efficiencies for multijunction solar cells. However, one of the major problems in making high-efficiency multijunction cells using lattice-mismatched materials is preventing the generation of dislocations and other defects that act as recombination centres and reduce device performance. Figure 8.13 shows the calculated dislocation density dependence of the conversion efficiency of single-junction and two-junction cells in comparison with experimental results (Yamaguchi and Amano, 1985). It is evident that high-efficiency two-junction cells with efficiencies of >30% should be possible using lattice-mismatched materials if the dislocation density can be reduced to <5 x 105 cm-2. The mechanically stacked configuration shows promise for realising high efficiency because it reduces dislocation problems in lattice-mismatched systems. The best results to date achieve a dislocation density of 2 x 106 cm-2 in GaAs grown on Si (Yamaguchi, 1991).
Super-High
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Tandem and Multijunction
Cells
359
Grain size (u.m) 1
0.1
0.01
50 % c 0)
1
40
30
o .2 20 i2
Concentrator " \ tandem cells
n
^Tandem cells
-* Single-junction cells ^ s „ x
I «>
o
"'I
10 3
10 4
'
I
J-_l.4-IJI]l!
10 5
10 6
I ' ' 'Hill
10 7
I
10 8
Dislocation density (cm - 2 ) Figure 8.13 Calculated dislocation density and grain size dependence (solid lines) of the conversion efficiency of single-junction and two-junction cells under 1 Sun and concentrator conditions, compared with experimental results (crosses, triangles and circle). Source: Yamaguchi and Amano (1985).
AlGaAs/Si monolithic two-junction cell An attractive combination of materials for obtaining high-efficiency multijunction cells is either AlxGai_xAs or GaAsi_yPy with x~0.3, y~0.27 (band-gap energy -1.75 eV) for a top cell, together with Si as a bottom cell. In addition to an ideal combination of band gaps, the Si substrate and cell technologies are very well developed and quite inexpensive. An Alo.15Gao.85As/Si two-junction cell with an AM0 efficiency of 21.2% active area (the area excluding bus and fingers) fabricated on a Si substrate using MOCVD has been reported (Umeno et al., 1998). The major problem for improving cell efficiency is reducing the high density of dislocations, which is currently 2 x 107 cm"2 in the AlGaAs layer on Si. InGaP/InGaAs monolithic cell An InGaP (Ug = 1.7 eV) top cell and an InGaAs (Ug =1.1 eV) bottom cell on a GaAs substrate is also an ideal combination of band gaps for the maximum theoretical 1 Sun AM0 efficiency of 33.1%, but this is a lattice-mismatched system. Although there have been some approaches to InGaP/InGaAs monolithic two-junction cells, it is necessary to overcome the problem of dislocations induced by lattice mismatch in the interface between InGaP and InGaAs, and also that between InGaAs and GaAs. GaAs/CuInSe2 mechanically stacked cell An Alo.3Gao.7As/CuInSe2 cell also has an ideal combination of band gaps (1.75/1.1 eV) and its theoretical efficiency is 32.4% at AM0. Because, in addition, CuInSe2 has high radiation resistance, AlGaAs/CuInSe2
360
M. Yamaguchi
cells have potential for space applications. In a similar approach, a GaAs-CLEFT (Cleavage of Lateral Epitaxial Films for Transfer)/CuInSe2 mechanically stacked cell achieved an AMO efficiency of 23.31% (Gale etal., 1990). GaAs/Si mechanically stacked cell The GaAs/Si cell, while certainly not offering an ideal combination of band gaps, does yield a theoretical efficiency of 38% under 500 Suns AM 1.5 at 50 C. In addition, both the cells are very well developed and Si is quite inexpensive. A GaAs/Si mechanically stacked cell with an efficiency of 31.0% under 347 Suns AM1.5 has been reported by Gee and Virshup (1988). GaAs/GaSb mechanically stacked cell A GaAs/GaSb cell also possesses a near-ideal combination band gaps (1.43/0.73 eV) and has a theoretical efficiency of 41% under 500 Suns AM 1.5 at 50 C. A GaAs/GaSb mechanically stacked cell with efficiencies of 34.2% under 100 Suns AM1.5 and 32.2% under 100 Suns AMO has been reported by Fraasefa/. (1990). GaAs/lnGaAsP mechanically stacked cell A GaAs/InGaAsP (0.95 eV) cell and GaAs/InGaAs (0.73 eV) cell also have near-ideal band-gap combinations of 1.43/0.95 eV and 1.43/0.73 eV, and both have a theoretical efficiency of 41% under 500 Suns AM 1.5 at 50 C. A GaAs/InGaAs mechanically stacked cell with an efficiency of 30.2% under 350 Suns AM1.5 has been made by Gee and Virshup (1988). More recently, a GaAs/InGaAs mechanically stacked cell with an efficiency of 28.8% under 1 Sun AM 1.5 has been fabricated by Matsubara et al. (1998). Other two-junction cells Other approaches to two-junction cells with optimum band-gap combinations are the vacuum MOCVD-grown GaAso.77Po.23 (1.6 eV) /GaAso.84Sb0.i6(l.l eV) three-terminal, two-junction cell with an active area efficiency of 21.1% under 133-360 Suns AMI on a GaAs substrate (Fraas et al., 1984), and a liquid phase epitaxy (LPE)-grown AlGaAsSb (1.8 eV)/GaAsSb (1.2 eV) tunnel-junction interconnected, two-terminal cell with an AMO efficiency of 1% (Timmons etal., 1981). lnGaP/GaAs/lnGaAs(P) and AlGaAs/GaAs/InGaAs(P) mechanically-stacked threejunction cells A 1.93 eV-AlGaAsorInGaP/1.43 eV-GaAs/0.95 eV-InGaAs(P)cell has predicted efficiencies of 37.5% at 1 Sun AM1.5 and 46% at 400 Suns AM1.5 (MacMillan et al, 1989). An 1.92 eV-AlGaAs/GaAs/0.95 eV-InGaAsP (0.95 eV) two-terminal, three-junction cell with an AMO efficiency of 25.2% has also been
Super-High Efficiency III-V Tandem and Multijunction Cells
361
reported (Chung et al, 1991). This is a mechanically stacked cell composed of an AlGaAs/GaAs metal-interconnected two-junction cell and an InGaAsP bottom cell. More recently, a mechanically stacked three-junction cell consisting of a monolithically grown InGaP/GaAs two-junction cell and an InGaAs bottom cell has reached 33.3% at 1 Sun AM1.5 (Takamoto etal, 1997b). Figure 8.14 shows a schematic cross section of this cell, and Figure 8.15 shows the /-V curves of the components under AM 1.5 global illumination. InGaP/GaAs dual-junction cell
Figure 8.14 Schematic cross section of a mechanically stacked three-junction cell consisting of an InGaP/GaAs two-junction cell and an InGaAs bottom cell (Takamoto et al., 1997b). 30
•
I ' •
Total: 33.3%
• InGaAs (6.2%)
InGaP/GaAs (27.1%)
i . . . .
0.5
i .
1 1.5 Voltage (V)
'/.'.>
Figure 8.15 l-V curves of a mechanically stacked three-junction cell, consisting of an InGaP/GaAs two-junction cell and an InGaAs bottom cell, under 1 Sun AMI.5G illumination (Takamoto et al., 1997b).
M. Yamaguchi
362
AlGaAs (InGaP)/GaAs/InGaAsP/InGaAs four-junction cell Beaumont et al. (1990) have proposed a mechanically stacked four-junction cell consisting of an AlGaAs/GaAs two-junction cell on a GaAs substrate and an InGaAsP/InGaAs two-junction cell on an InP substrate, and Sharps et al. (1997) a mechanically stacked four-junction cell consisting of an InGaP/GaAs two-junction cell on a GaAs substrate and an InGaAsP/InGaAs two-junction cell, also on an InP substrate. The maximum theoretical efficiencies for a 1.91/1.43/1.05/0.75 eV four-junction cell are 35.1% at 1 Sun AMO, 39.3% at 1 Sun AMI and 44.5% at 500 Suns AMI. Figure 8.16 shows a cross section of a proposed InGaP/GaAs/InGaAsP/InGaAs four-junction solar cell, with a projected efficiency of 34.8% at 1 Sun AMO (Sharps et al, 1997). AR coaling V
I n*-GaAs
n-AI!nP n-GalnP p-GalnP
• contact metal • cap layer window layer emitter layer base layer back surface field
High band-gap tandem
• tunnel junction n-GaAs p-GaAs p-GalnP
window layer emitter layer base layer back surface field ' substrate
p-GaAs
n-lnP n-GalnAsP p-GalnAsP
• metal-bond interconnect window layer emitter layer base layer back surface field tunnel junction
Low band-gap landem
n-lnP n-GalnAs p-GalnAs
- window layer - emitter layer - base layer back surface field
p-lnP p-lnP
Figure 8.16
-substrate -contact metal
Schematic cross section of a proposed InGaP/GaAs/InGaAsP/InGaAs four-junction solar cell
(Sharps era/., 1997).
Super-High Efficiency III-V Tandem and Multifunction Cells
363
8.4 Epitaxial technologies for growing III-V compound cells Figure 8.17 shows chronological improvements in the efficiencies of GaAs solar cells fabricated by the LPE, MOCVD and MBE methods. LPE was used to fabricate GaAs solar cells in 1972 because it produces high quality epitaxial film and has a simple growth system. However, it is not as useful for devices that involve multilayers because of the difficulty of control over layer thickness, doping, composition and speed of 30
& |
20
|
15
|
10
1970
1975
1980
1985
1990
1995
Year Figure 8.17 Chronological improvements in the efficiencies of GaAs solar cells fabricated by the LPE, MOCVD and MBE methods.
throughput. Since 1977, MOCVD has been used to fabricate large-area GaAs solar cells because it is capable of large-scale large-area production and has good reproducibility and controllability. Using large MOCVD systems (for example, AIXTRON AIX-3000 or EMCORE Enterprise 400) which can simultaneously process up to 25 wafers, each of 4 inch diameter, two-junction InGaP/GaAs cells and three-junction InGaP/GaAs/Ge cells are now commercially produced by TECSTAR (Yeh et al., 1996) and Spectrolab (Chiang et al., 1996). In the research stage, InGaP/GaAs two-junction solar cells with efficiencies of 30.3% at 1 Sun AMI.5 and 26.9% at 1 Sun AM0 have been fabricated using the MOCVD method (Takamoto et al., 1997), while an efficiency of 21.1% at 1 Sun AM0 has been reported for MBE-grown InGaP/GaAs two-junction cells (Lammasniemi etal., 1997) and efficiencies of 27.5% at 140 Suns AM1.5 and 24.6% at 100 Suns AM0 have been reported for LPE-grown AlGaAs/GaAs two-junction cells (Andreevefa/., 1997).
364
M. Yamaguchi
Table 8.2 compares the advantages and disadvantages of the various epitaxial technologies. While the LPE method can produce high-quality epitaxial films, the MOCVD method is effective for large-scale large-area production of solar cells. MBE and CBE are advantageous for realising novel multilayer structures such as multijunction solar cells because they provide excellent controllability of monolayer abruptness and thickness due to the nature of beam (Yamaguchi et al., 1994). However, there have been few reports of CBE-grown solar cells. Table 8.2
Advantages and disadvantages of epitaxial technologies
Characteristics
LPE
MOCVD
MBE
CBE
Quality MQW Abrupt interface Heavy doping Large-area Throughput Efficient use of Source materials Equipment cost
**** * * ** * *** ***
*** *** *** #* **** **** **
** **** **** *** ** ** **
*** **** **** **** *** *** ####
#*#
**
**
*
**** Excellent, *** very good, ** fairly good, * bad.
8.5 Monolithic vs. multi-terminal connection modes Figure 8.18 shows various configurations of two-junction cells. For example, in the case of two-junction cells, two cells can be connected to form either two-terminal, three-terminal or four-terminal devices. In a monolithic, two-terminal device, the cells are connected in series with an optically transparent tunnel junction intercell electrical connection. In a two-terminal structure, only one external circuit load is needed, but the photocurrents in the two cells must be equal for optimal operation. Key issues for maximum efficiency monolithic cascade cells (two-terminal multijunction cells series connected with tunnel junction) are the formation of tunnel junctions of high performance and stability for cell interconnection, and growth of optimum band-gap top-and bottom-cell structures on lattice-mismatched substrates, without permitting propagation of deleterious misfit and thermal stress-induced dislocations.
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8.6 Cell interconnection One of the most important factors in making high-efficiency monolithic-cascade type multijunction cells is to achieve optically and electrically low-loss interconnection of two or more cells. There are two main approaches to providing low-resistance intercell ohmic contacts: degenerate doping (tunnel-junction interconnection) and localised metallisation (metal interconnection). The use of a degenerately doped p*/n* tunnel junction is attractive because it only involves one extra step in the growth process. To minimise optical absorption, formation of thin, wide-band-gap tunnel junctions is
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Super-High Efficiency III-V Tandem and Multifunction Cells
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necessary. However, the formation of a wide-band-gap tunnel junction is very difficult, because the tunnelling current decreases exponentially with increase in band-gap energy, as shown in Fig. 8.19. In addition, impurity diffusion into a highly doped tunnel junction during overgrowth of the top cell increases the resistivity of the tunnel junction and degrades the top cell performance. This was a severe problem in the past, but it has been reduced by the use of lower growth temperatures, as shown in Fig. 8.20, the advent of new dopants including carbon and the introduction of the double-hetero (DH) structure (Sugiura et al., 1988).
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368
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The second approach uses a metallisation scheme to connect the top and bottom cells in the metal-interconnected cascade cell (MacMillan et al., 1989), as shown in Fig. 8.21. The grooves are formed using a sequence of wet chemical etches to remove the epitaxial layers selectively. The metal-interconnect approach has the problem of a complex fabrication process and difficulty in obtaining a low-resistance, reliable contact to the top cell materials. However, this approach may be effective when formation of a tunnel-junction interconnection is difficult. For mechanically stacked structures, adhesive bonding is used to connect the cells. Adhesive materials must be optically transparent over the wide wavelength range 350-1700 nm, have a high thermal conductivity and be mechanically resistant.
8.7 Possible applications of multijunction cells Concentrator operation of two-junction and three-junction cells fabricated on inexpensive substrates such as Ge, Si and polycrystalline materials are being considered as a way to achieve high-efficiency and low-cost cells. In Japan, the super-high efficiency solar cell R&D project including multijunction cells started in fiscal year 1990 (Yamaguchi and Wakamatsu, 1996). The objective of the project is to reach conversion efficiencies of about twice the 1990 values at the laboratory level by the year 2000 and production of such cells for terrestrial applications by 2010. As markets for direct-to-home broadcast, mobile telephone and data communications are growing, commercial satellite power requirements have increased by 200-400% during the early 1990s, and this increasing demand requires continuous efforts to improve solar cell performance and reduce solar cell array cost. In September 1995, the US Air Force Joint Wright Lab./Phillips Lab./NASA Lewis Multijunction Solar Cell Manufacturing Technology (the so-called Man Tech) Program for the development and fabrication of large-area InGaP/GaAs/Ge two-junction and threejunction cells started (Keener et al., 1997). This aims to improve InGaP/GaAs/Ge cell performance (average efficiency > 24-26%) and scale up to production size, quantity and yield while limiting the production cost per watt to not more than 15% over GaAs cells. The average efficiencies of InGaP/GaAs-on-Ge two-junction cells and InGaP/GaAs/Ge three-junction cells made to date were 22.4% and 24.2% at AM0, respectively. OANAMSAT5, the first satellite powered by InGaP/GaAs two-junction cells on Ge substrates, was launched in August 1997 into geosynchronous orbit and is operating nominally with 10 kW of multijunction power (Brown et al, 1997). The average two-junction cell efficiency of this array is 21.6%.
Super-High Efficiency II1-V Tandem and Multifunction Cells
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8.8 Predictions For super-high-efficiency cells to come into wider use, it will be necessary to improve their conversion efficiency and reduce their cost. In this section, the possibility of obtaining efficiencies of over 40% by using multijunction cell structures and thin-film technologies on inexpensive substrates such as Si and polycrystalline materials is discussed. Figure 8.22 shows the theoretical and realistically expected conversion efficiencies of single-junction and multijunction solar cells reported in the past by some researchers (Fan et a/., 1982; Wanlass et al., 1989; Kurtz et al., 1997) compared with experimentally realised efficiencies. Clearly, concentrator three-junction solar cells have great potential for realising efficiencies of over 40%. 55 50
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So far, we have focused mainly on improvement of conversion efficiency. To reduce costs, the use of cheaper substrates is necessary. Figure 8.13 shows the calculated grain size d and dislocation density iVd dependencies of the AM 1.5 conversion efficiency of GaAs single-junction cells, two-junction cells and concentrator two-junction cells compared with experimental values. The calculations were carried out using the following expressions for minority-carrier diffusion length L as a function of d and NA (Yamaguchi and Itoh, 1986): 1/L2 = 1/Lo2 + ASIDd UL2 = l/Lo2 + x3Nd/4
370
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where L is the minority-carrier diffusion length in the solar cell active layers, Lo is the radiative-recombination-limited value of L, S is the surface recombination velocity at the edge of the grain boundary depletion region (assumed to be 5 x 106 cm s_l in the case of GaAs), and D is the minority-carrier diffusion coefficient. It follows that concentrator thin-film multijunction solar cells fabricated on inexpensive substrates such as Si and polycrystalline materials have great potential for realising efficiencies of more than 35% at low cost if one can reduce the dislocation density to less than 5 x 105 cm"2 and increase the grain size to more than 0.1 cm. Cost reduction of III-V compound solar cells is also necessary for their widespread application. To this end, cell fabrication using inexpensive substrates such as Si and Ge, large-scale epitaxial growth equipment and concentrator systems are needed. In addition, an increase in conversion efficiency reduces the cell cost per Wp directly. Figure 8.23 shows an analysis of the energy cost of a 50 MW concentrator system (Whisnant et al., 1994). This suggests that tandem solar cells on Ge substrates under concentrator operation with efficiencies as high as 35% are promising for cost reduction.
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An analysis of the energy cos! of a 50 MW concentrator system (Whisnant et al., 1994).
Super-High Efficiency III-V Tandem and Multifunction Cells
371
Acknowledgment This work was partly supported by the New Energy and Industrial Technology Development Organization as part of the New Sunshine Program under the Ministry of International Trade and Industry, Japan.
References Amano C , Sugiura H., Yamamoto A. and Yamaguchi M. (1987), '20.2% efficiency Alo.4Gao.6As/GaAs tandem solar cells grown by molecular beam epitaxy', Appl. Phys. Lett. 51, 1998-2000. Amano C , Sugiura H., Yamaguchi M. and Hane K. (1989), 'Fabrication and numerical analysis of AlGaAs/GaAs tandem solar cells with tunnel interconnections', IEEE Trans. Electron Devices ED-36, 1026-1035. Ando K., Amano C., Sugiura H., Yamaguchi M. and Saletes A. (1987), 'Nonradiative e-h recombination characteristics of mid-gap electron trap in AljGai., As (x = 0.4) grown by molecular beam epitaxy', Jpn. J. Appl. Phys. 26, L266-L269. Andreev V. M., Khvostikov V. P., Rumyantsev V. D., Paleeva V. E. and Shvarts M. Z. (1997), 'Monolithic two-junction AlGaAs/GaAs solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf., Anaheim, IEEE Press, Piscataway, 927-930 Beaumont B., Garabedian P., Nataf G., Guillaume J.-C, Gibart P. and Verie C. (1990), 'Mechanically stacked two-tandem consolar cell concept', Conf. Record 21st. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 47-52. Bedair S. M., Hutchby J. A., Chiang J. P. C , Simons M. and Hauser J. R. (1981), 'AlGaAs/GaAs high efficiency cascade solar cells', Conf. Record 15th. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 21-26. Bertness K. A., Kurtz S. R., Friedman D. J., Kibbler A. E., Kramer C. and Olson J. M. (1994), '29.5%-Efficiency GalnP/GaAs tandem solar cells', Appl. Phys. Lett. 65, 989-991. Bowler D. L. and Wolf M. (1980), 'Interactions of efficiency and material requirements for terrestrial silicon solar cells', IEEE Trans. Components, Hybrids Manufacturing Technol., CHMT-3, 464-472. Brown M. R., Goldhammer L. J., Goodelle G. S., Lortz C. U., Perron J. N., Powe J. S. and Schwartz J. A. (1997), 'Characterization testing of dual junction GaInP2/ GaAs/Ge solar cell assemblies', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 805-810.
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Chiang P. K., Kurt D. D., Cavicchi B. T., Bertness K. A., Kurtz S. R. and Olson J. M. (1994), 'Large-area GaInP2/GaAs/Ge multijunction solar cells for space applications', Proc. 1st. World Conf. Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 2120-2123. Chiang P. K., Ermer J. H., Nishikawa W. T., Krut D. D., Joslin D. E., Eldredge J. W., Cavicchi B. T. and Olson J. M. (1996), 'Experimental results of GaInP2/GaAs/Ge triple junction cell development for space power systems', Conf. Record 25th. IEEE Photovoltaic Specialists Conf., Washington D.C., IEEE Press, Piscataway, 183— 186. Chung B.-C, Virshup G. F., Hikido S. and Kaminar N. R. (1989), '27.6% efficiency (1 Sun, air mass 1.5) monolithic Alo.37Gao.63 As/GaAs two-junction cascade solar cell with prismatic cover glass', Appl. Phys. Lett. 55, 1741-1743. Chung B.-C, Virshup G. F., Klausmeier-Brown M., Ristow M. L. and Wanlass M. W. (1991), '25.2%-efficiency (1 Sun, air mass 0) AlGaAs/GaAs/InGaAsP threejunction, two-terminal solar cell', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 54-57. Fan J. C C , Tsaur B. Y. and Palm B. J. (1982), 'Optical design of high-efficiency tandem cells', Conf. Record 16th. Photovoltaic Specialists Conf, San Diego, IEEE Press, Piscataway, 692-701. Flores C. (1983), 'A three-terminal double junction GaAs/GaAlAs cascade solar cells', IEEE Electron Device Lett. EDL-4, 96-99. Fraas L. M , McLeod P. S., Cape J. A. and Partain L. D. (1984), 'Monolithic two-color, three-terminal GaAsP/GaAsSb solar cells', Conf. Record 17th. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 734-739. Fraas L. M., Avery J. E., Martin J., Sundaram V. S., Girard G., Dinh V. T., Davenport T. M., Yerkes J. W. and O'Neill M. J. (1990), 'Over 35-percent efficient GaAs/GaSb tandem solar cells', IEEE Trans. Electron Devices 37, 443-449. Gale R. P., McClelland R. W., Dingle B. D., Gormley J. V., Burgess R. M., Kim N. P., Mickelsen R. A. and Stanbery B. J. (1990), 'High-efficiency GaAs/CuInSe2 thin-film tandem solar cells', Conf. Record 21st. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 53-57. Gee J. M. and Virshup G. F. (1988), 'A 31%-efficient GaAs/silicon mechanically stacked, multijunction concentrator solar cell', Conf. Record 20th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 754-758. Hutchby J. A., Markunas R. J., Timmons M. L., Chiang P. K. and Bedair S. M. (1985), 'A review of multijunction concentrator solar cells', Conf. Record 18th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 20-27.
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Jackson E. D. (1955), 'Areas for improving of the semiconductor solar energy converter', Trans. Conf. on the Use of Solar Energy 5, University of Arizona Press, Tucson (1958), 122-126. Keener D. N., Marvin D. C , Brinker D. J., Curtis B. H. and Price P. M. (1997), 'Progress toward technology transition of GaInP2/GaAs/Ge multijunction solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 787-792. Kurtz S. R., Myers D. and Olson J. M. (1997), 'Projected performance of three-and four-junction device using GaAs and GalnP', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 875-878. Lammasniemi J., Kazantsev A. B., Jaakkola R., Toivonen M., Jalonen M., Aho R. and Pessa M. (1997), 'GalnP/GaAs cascade solar cells grown by molecular beam epitaxy', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 823-826. Lamorte M. F. and Abbott D. H. (1980), 'Computer modeling of a two-junction monolithic cascade solar cell', IEEE Trans. Electron Devices ED-25, 831-840. Loferski J. J. (1976), 'Tandem photovoltaic solar cells and increased energy conversion efficiency', Conf. Record 12th. IEEE Photovoltaic Specialists Conf, Baton Rouge, IEEE Press, Piscataway, 957-961. Ludowise M. J., LaRue R. A., Borden P. G., Gregory P. E. and Dietz W. T. (1982), 'High-efficiency organometallic vapor phase epitaxy AlGaAs/GaAs monolithic cascade solar cell using metal interconnects', Appl. Phys. Lett. 41, 550-552. MacMillan H. F., Chung B.-C, Hamaker H. C , Kaminar N. R., Kuryla M. S, Ladle Ristow M., Liu D. D., Partain L. D., Schultz J. C , Virshup G. F. and Werthen J. G. (1989), 'Recent advances in multijunction III-V solar cell development', Solar Cells 27, 205-217. Mitchell K. W. (1981), 'High efficiency concentrator cells', Conf. Record 15th. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 142-146. Matsubara H., Tanabe T., Moto A., Mine Y. and Takagishi S. (1998), 'Over 27% efficiency GaAs/InGaAs mechanically stacked solar cells', Solar Energy Mat. Solar Cells 50, 177-184. Nell M. E. and Barnett A. M. (1987), 'The spectral p-n junction model for tandem solar-cell design, IEEE Trans. Electron Devices ED-34, 257-266. Olson J. M., Kurtz S. R. and Kibbler A. E. (1990), 'A 27.3% efficient Gao.5Ino.5P/GaAs tandem solar cell', Appl. Phys. Lett. 56, 623-625.
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Sharps P. R., Timmons M. L., Hills J. S. and Gray J. L. (1997), 'Wafer bonding for use in mechanically stacked multi-band-gap cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf., Anaheim, IEEE Press, Piscataway, 895-898. Sugiura H., Amano C , Yamamoto A. and Yamaguchi M. (1988), 'Double heterostructure GaAs tunnel junction for AlGaAs/GaAs tandem solar cells', Jpn. J. Appl. Phys. 27, 269-272. Takahashi K., Yamada S., Unno T. and Kuma S. (1998), 'Characteristics of GaAs solar cells on Ge substrate with a preliminary grown thin layer AlGaAs', Solar Energy Mat. Solar Cells 50, 169-176. Takamoto T., Ikeda E., Kurita H. and Ohmori M. (1997a), 'Over 30% efficient InGaP/GaAs tandem solar cells', Appl. Phys. Lett. 70, 381-383. Takamoto T., Ikeda E., Agui T., Kurita H., Tanabe T., Tanaka S., Matsubara H., Mine Y., Takagishi S. and Yamaguchi M. (1997b), 'InGaP/GaAs and InGaAs mechanically stacked triple-junction solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 1031-1034. Timmons M. L. and Bedair S. M. (1981), 'AlGaAsSb/GaAsSb cascade solar cells', Conf. Record 15th. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 1289-1293. Umeno M., Soga T., Baskar K. and Jimbo T. (1998), 'Heteroepitaxial technologies on Si for high-efficiency solar cells', Solar Energy Mat. Solar Cells 50, 203-212. Vernon S. M., Tobin S. P., Wojtczuk S. J., Keavney C. J., Bajgar C , Sanfacon M. M. Daly J. T. and Dixon T. M. (1989), 'III-V solar cell research at Spire Corporation', Solar Cells 27, 107-120. Wanlass M. W., Emery K. A., Gessert T. A., Horner G. S., Osterwald C. R. and Coutts T. J. (1989), 'Practical considerations in tandem cell modeling', Solar Cells 27, 191-204. Wanlass M. W., Coutts T. J., Ward J. S., Emery K. A., Gessert T. A. and Osterwald C. R. (1991), 'Advance high efficiency concentrator tandem solar cells', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 38^15. Whisnant R. A., Hutchby J. A., Timmons M. I., Venkatasubramanian R. and Hills J. S. (1994), 'Silicon and GaAs/Ge concentrator power plants: a comparison of cost of energy produced', Proc. 1st. World Conf. Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1103-1106. Wolf M. (1960), 'Limitations and possibilities for improvement of photovoltaic solar energy converters', Proc. Inst. Radio Engineers 48, 1246-1263.
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Yamaguchi M. (1991), 'Dislocation density reduction in heteroepitaxial III-V compound film on Si for optical devices', J. Mat. Res. 6, 376-384. Yamaguchi M., Uemura C. and Yamamoto A. (1984), 'Radiation damage in InP single crystals and solar cells', J. Appl. Phys. 55, 1429-1436. Yamaguchi M. and Amano C. (1985), 'Efficiency calculations of thin film GaAs solar cells on Si substrates', /. Appl. Phys. 58, 3601-3606. Yamaguchi M. and Itoh Y. (1986), 'Efficiency considerations for polycrystalline GaAs thin-film solar cells', J. Appl. Phys. 60, 413^117. Yamaguchi M., Warabisako T. and Sugiura H. (1994), 'CBE as a breakthrough technology for PV solar energy applications', J. Crystal Growth 136, 29-36. Yamaguchi M. and Wakamatsu S. (1996), 'Super-high efficiency solar cell R&D program in Japan', Conf. Record 25th. IEEE Photovoltaic Specialists Conf., Washington D.C., IEEE Press, Piscataway, 9-11. Yamaguchi M., Okuda T., Taylor S. J., Takamoto T., Ikeda E. and Kurita H. (1997), 'Superior radiation-resistant properties of InGaP/GaAs tandem solar cells', Appl. Phys. Lett. 70, 1566-1568. Yeh Y. C. M., Chu C. L., Krogen J., Ho F. F., Datum G. C , Billets S., Olson J. M. and Timmons M. L. (1996), 'Production experience with large-area, dual-junction space cells', Conf. Record 25th. IEEE Photovoltaic Specialists Conf., Washington D.C., IEEE Press, Piscataway, 187-190.
CHAPTER 9
ORGANIC PHOTOVOLTAIC DEVICES JONATHAN J. M. HALLS and RICHARD H. FRIEND Cavendish Laboratory, Cambridge, CB3 OHE, UK jjmh I @cam. ac. uk
"I just want to say one word to you —just one word. Plastics. There's a great future in plastics. Think about it. " Mr Maguire to Ben Braddock in The Graduate, 1967.
9.1 Introduction Despite much effort, semiconductor photovoltaic devices made with traditional inorganic semiconductors have remained sufficiently expensive that their uses are confined to a number of niches. Much effort is currently directed towards the use of thin-film semiconductors, in place of silicon wafers, since the direct fabrication of thin devices on substrates offers the prospect of lower manufacturing costs, particularly for larger area applications. The development of amorphous silicon solar cells in 1976 by Wronski and Carlson had the potential of making photovoltaic cells cheaper to produce, and other techniques have been developed to make larger devices possible, including polycrystalline silicon, cadmium telluride, and copper indium diselenide, as described elsewhere in this volume. Despite these advances, the cost of fabricating photovoltaic cells remains prohibitively high for many applications, particularly when large areas are required. One of the factors that keeps system costs relatively high for these technologies is the requirement for high-temperature processing of the semiconductor in a high vacuum environment. This largely restricts fabrication to batch processing onto glass substrates, with associated costs.
9.1.1 Molecular semiconductor devices An alternative approach is the use of organic, molecular semiconductors, which can be processed over large areas at relatively low temperatures, either by vacuum sublimation of molecular materials, or, preferably, by processing from solution of 377
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film-forming materials such as polymers. If the many issues that we discuss in this chapter concerning the photovoltaic performance and stability can be satisfactorily resolved, then there is the prospect of considerably lower manufacturing costs. The reduction will result in part from the low cost of the small volume of the thin active semiconductor layers, but more importantly, from the lower cost of the other materials used, such as substrates, and the reduced costs that can be realised, for example, by roll-to-roll manufacturing. The challenges in developing organic semiconductors for use in photovoltaic applications arc considerable, requiring new materials, new methods of manufacture, new device architectures and new substrate and encapsulation materials. The most realistic approach is to make use of available know-how that has been developed in related technologies, and it is our view that this is necessary here. Molecular semiconductors are in fact widely used-they are the dominant technology for xerographic copying and laser printing, as we discuss in Section 9.2. More relevant to photovoltaic devices is the development more recently of molecular semiconductor light-emitting diodes (LEDs). These devices are manufactured on a transparent substrate {e.g. glass) as a layer of molecular semiconductor sandwiched between a transparent bottom electrode (e.g. indium tin oxide) and a top metallic electrode. Figure 9.1 shows such a structure.
\ > organic layer Photovoltaic mode
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Figure 9.1 Schematic diagram of a molecular semiconductor diode which, according to the selection of electrodes and semiconductor layers, can iunction as a light-emitting diode or as a photovoltaic diode. Fabrication is by successive deposition of bottom transparent electrode (e.g. indium tin oxide) onto the transparent substrate (e.g. glass), the semiconductor layer or layers (by vacuum sublimation and/or solution processing) and top metal electode (by vacuum deposition).
Organic semiconductor LEDs, or OLEDs, have advanced very rapidly over the past five years, and now provide a full range of colour, high efficiency (of order 10% quantum efficiency), and, very importantly, have been engineered to give good shelf life and operational lifetime (10,000 hours operation is a minimum requirement for
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most display applications). Work on sublimed molecular devices originating from the Kodak group of Tang in the mid 1980s (Tang and VanSlyke, 1987) has been developed by a number of companies including Pioneer, Japan, who have developed LED displays for automobile audio systems and for mobile electronics. The use of semiconductor polymers for LEDs was developed in Cambridge, UK (Burroughes et al, 1990). The state-of-the-art polymer LEDs are very efficient and are also being commercialised, for example by Philips, Eindhoven (Friend et al, 1999). Solution processing of polymers is particularly attractive for large-area coating, as will be required for photovoltaic devices. Organic transistors networked to form small integrated circuits are being developed by Philips, and are expected to be used in smart cards and electronic barcode labels within the next few years. Organic photodiodes are further from commercial exploitation than these other applications, although there is considerable interest in using these novel semiconductors to fabricate cheaper photovoltaic panels and photodetector arrays. However, using a combination of new materials and novel device structures the efficiency of organic photovoltaic cells continues to rise, and their comparatively low fabrication cost makes these cells increasingly attractive. The general structure of the diode as used for LEDs, shown in Figure 9.1, is directly transferable to operation in a photovoltaic mode (though the electrodes and semiconductor layers need to be correctly designed). There is therefore scope for the direct transfer of know-how from OLEDs to the manufacture of practical, durable and efficient photovoltaic devices. This know-how includes materials synthesis and purification, electrode manufacturing, semiconductor layer deposition and encapsulation.
9.1.2 Photovoltaic properties of molecular semiconductors Molecular materials show semiconducting properties when constructed so that the carbon atoms present in the molecule or polymer chain are bonded as sp2 + pz hybrid orbitals. The pz orbitals form delocalised n and 71* molecular orbitals, which are conventionally recognised as the alternation of carbon-carbon 'single' and 'double' bonds in the molecule. A range of such materials is shown in Figure 9.2. The semiconducting properties of these materials have been very extensively investigated over many decades; we review in more detail the properties relevant to photovoltaic properties in later sections, and refer the reader to a number of monographs (Borsenberger and Weiss, 1993; Greenham and Friend, 1995; Pope and Swenberg, 1999). However, we can summarise the salient characteristics briefly here.
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molecules metalloporphyrin
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Figure 9.2 Chemical structures of a range of organic semiconductors. Perylene derivatives are used extensively as electron acceptors and charge-transport layers for xerography. Porphyrins can be made with a range of metal ions (M) at their centres; magnesium, copper and zinc are common choices.
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Devices
Photoabsorption in these materials creates an excited state which is generally confined to a molecule or a region of a polymer chain. This localised excitation is generally termed an 'exciton'. This can be considered either as a neutral excited state of a molecule, or, using a semiconductor description, as an electron-hole pair, bound together by Coulomb and lattice interactions. The electron-hole binding is usually very strong, of order 0.5 eV or above, so that at room temperature {kT = 25 meV), there is little likelihood of electron-hole separation. These materials are therefore commonly strongly luminescent, with emission resulting from radiative decay of the exciton. Electron-hole separation is clearly required for photovoltaic operation, and can be achieved by a number of extrinsic processes. The most important of these is the use of a heterojunction formed between two molecular semiconductors (which can be deposited one on top of the other). The two semiconductors must be chosen so that one can act as electron acceptor and the other as hole acceptor, as is shown schematically in Figure 9.3. Charge separation (often termed photo-induced charge transfer) requires that the offsets in the energies for hole states (n valence band) and for electron states (n* conduction band) at the heterojunction exceeds the binding energy of the electron-hole pair when present on one or other molecular semiconductor (Halls et ai, 1999). This approach has been developed over several years, and is found to be effective both with molecular structure (Tang, 1986), using perylene/phthalocyanine heterojunctions, and with polymer devices (Halls et ai, 1999), using for example MEH-PPV and CN-PPV (see Fig. 9.2).
vacuum level glass ITO interpenetrating polymer network LUMO
acceptor Exciton
donor (a)
acceptor
HOMO
(b)
JHole
Electron
energy acceptor
donor
Figure 9.3 (a) Schematic diagram of photoinduced charge transfer at the interface between two semiconductors with different ionisation potentials and electron affinities, (b) Schematic showing how a mixture of electron- and hole-accepting polymers can be used to provide heterojunctions distributed throughout the polymer composite layer.
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This double-layer structure separates charge, which can be collected at the two electrodes without difficulty in the strong internal electric field present for these thin devices (Note that optical absorption depths are less than 1 /an for most molecular semiconductors.) The structure functions well, provided that light is absorbed sufficiently close to the heterojunction that the excitons produced can diffuse to the heterojunction in order to ionise. Unfortunately, typical diffusion ranges are an order of magnitude lower than the thickness required to absorb the incident light, so that only about 10% of incident light can be captured in such device arrangements (Halls etal, 1996). Much of the current interest in organic photovoltaic devices is therefore directed to finding new architectures which allow all absorbed light to produce excitons which do reach heterojunctions. One approach is the use of phase-separated polymer blends, which provide a 'distributed heterojunction' throughout the layer thickness (Halls et ai, 1995a; Yu et ai, 1995). Quantum efficiencies up to nearly 30% are achieved in this way. The structure of such a device is shown schematically in Fig. 9.3b.
9.1.3 Overview of this chapter In Section 9.2 the development of organic photovoltaic cells is put into historical context. In Section 9.3 we shall consider why certain organic molecules and semiconductors behave like semiconductors, and look at some of their characteristic properties. Section 9.4 covers the development of simple molecular and polymeric photovoltaic cells based on metal-semiconductor-metal sandwich structures. In Section 9.5 the physics that underlies the charge separation and charge transport properties is discussed, and in Section 9.6 the photocurrent action spectra and currentvoltage characteristics are interpreted in the context of these phenomena. Section 9.7 introduces techniques to improve the performances of these simple calls, beginning with the fabrication of heterojunctions. In Section 9.8 the use of dispersed heterojunctions is introduced; in these the donor and acceptor materials are scrambled together, using, for example, phase separated polymer blends. In Section 9.9 the use of diffuse interface heterojunctions is considered, in which the surface are is increased by intermixing over a limited part of the semiconductor layer, as may be achieved by lamination. In Section 9.10 we look at the technological benefits and drawbacks of these new devices, and speculate on future uses of what promises to be a low-cost avenue to the production of large area photovoltaic cells. Section 9.11 brings the chapter to a close with some general conclusions.
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9.2 Background—early work on photoresponsive organic semiconductors Molecular semiconductors were incorporated into light-sensitive electronic devices at an early stage in their development; indeed, the solid-state photovoltaic effect was first observed in a cell using selenium. Until the middle of this century, molecular, and primarily organic, materials provided the basis of research for the photovoltaic effect. It was not until 1954, when Pearson, Chapin and Fuller invented the silicon photocell at Bell Laboratories, that inorganic materials were destined to become the material of choice for commercial applications. The first report of solid-state photoconductivity is that by Smith (1873) who observed the phenomenon in selenium. The first detailed study of the subject was carried out in the 1920s by Gudden, Pohl and co-workers, on diamond, ZnS and alkali halide single crystals (Borsenberger and Weiss, 1993). The phenomenon was originally interpreted as a radiation-induced structural effect. It was not until the full understanding of the Hall effect that photoconductivity was attributed to the creation of free electrons by the absorption of light. Anthracene was the first molecular material in which photoconductivity was observed, in work by Pochettino (1906) and Volmer (1913). Covalently bonded solids formed the basis for investigations in the 1940s and 1950s, when research into organic materials was limited by the need for single-crystal samples. Interest in organic photoconductors was renewed by the discovery that common artificial pigments and dyes, such as malachite green and methylene blue, had semiconducting properties (Bube, 1960). The photovoltaic phenomenon was observed in cells containing thin films of these organic pigments and dyes in amorphous, crystalline and microcrystalline phases (Merritt, 1982). At the same time it was realised that many biological compounds, and their synthetic analogues, had photoconductive properties. These included carotenes, chlorophylls and other porphyrins, phthalocyanines, cyanines, merocyanines and porphyrins, many of which are important in biological systems. Most of the understanding of the photovoltaic effect in organic photocells comes from the study of devices fabricated from these molecular materials. In recent years semiconducting polymers have been applied to organic photovoltaic cells. Their electronic properties are, in the main, very similar to those of the smaller molecules described above, but their physical properties tend to make them easier to process. Much of the interest in molecular semiconductors was driven by the search for organic photoconductors for xerographic applications in laser printers and photocopiers. In these applications an image is projected onto a statically charged photoconductive drum, and the drum is discharged wherever the drum is exposed. Toner is picked up by the areas of the drum that remain charged, and is subsequently
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transferred to the paper (Borsenberger and Weiss, 1993). A wide range of organic materials has been investigated for this application, many of which have been exploited in organic photovoltaic cells. Present day xerographic devices almost universally use organic molecular photoconductive materials, dispersed in a polymer binder, rather than more 'traditional' selenium-based photoconductors. In a photoconductive material, charge carriers are created by the optical absorption. An externally applied field is required to produce current by extracting these photogenerated charges from the photoconductor before they recombine. The photovoltaic effect is an extension of photoconductivity in which this field is 'builtin' to the system and exists in the dark. In a photovoltaic cell, this field typically arises from the interaction ofp- and w-type semiconductors (such as in silicon, GaAs, CdTe and CuInSe2), or (less commonly in the case of inorganic semiconductor devices) from the interaction of the photoconductor with the metal. Photovoltaic materials are necessarily photoconductors, but the converse is not always true.
9.3 Conjugated molecules: a new class of semiconductors 9.3.1 Introduction Until recently, carbon-based molecules and polymers have been considered to be insulating materials, and as such have been exploited as electrical insulators in numerous applications. Although it was known from the turn of the twentieth century that certain organic materials were photoconductive, it was arguably the extensive development of molecular electronic materials such as anthracene (Fig. 9.2) by Pope and Swenberg (1999) and the subsequent discovery in 1974 that doped polyacetylene, the simplest conjugated polymer, can exhibit metallic levels of conductivities (Chiang et al, 1977), that initiated an exciting and rapidly expanding field of research into these materials. The novel electronic properties of both molecular and polymeric semiconductors arises from their conjugated chemical structure, and on a molecular level the physical processes behind their properties can be dealt with in the same way. In their undoped state, molecular semiconductors are generally medium to wide bandgap semiconductors. Conjugated polymers have the additional processibility advantages of engineering plastics. Carbon has the electronic structure Is2 2s22p2, and forms hybrid orbitals with its four valence electrons (2s12p2). In conjugated materials, which have alternating double and single bonds in their canonical structures, three sp2 hybrid orbitals form covalent bonds: one with each of the carbon atoms either side of it, and the third with
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a hydrogen atom or other group. The remaining electron occupies a pz orbital. Collectively, thepz orbitals overlap to create delocalised % bonds which, in the case of a polymer, extend along the full length of the backbone. The most stable configuration of a conjugated polymer is planar, since this maximises the overlap of the pz orbitals (Fig. 9.4), and so these materials tend to be rigid, insoluble and intractable. This originally made it difficult to produce samples in a useful form; fabrication techniques were limited to gas-phase polymerisation and electrochemical growth.
Figure 9.4 Schematic diagram of (a) trans-polyacetylene and (b) poly(p-phenylenevinylene) showing the pz orbitals which overlap to provide the extended delocalised n-system.
The 7i-bonds are weaker than the strong covalent bonds formed by the sp2 electrons, and the electrons in the delocalised 71 system therefore have a smaller binding energy. These electrons dominate the electronic and optical properties, whereas the .^-derived bonds maintain the physical structure of the molecule when electrons are excited from the bonding % orbital to the anti-bonding 71* orbital. The development by Wessling of the sulphonium polyelectrolyte precursor route to poly(p-phenylenevinylene) (PPV) made available thin, high-quality conjugated polymer films (Wessling and Zimmerman, 1968; 1972). The precursor does not have a fully conjugated % system, and is therefore soluble in organic solvents. The final polymer is formed by thermal elimination of the alkyl sulphonium leaving group, which conjugates the links between the benzene rings, as illustrated in Fig. 9.2. Spincoating, a technique commonly used to deposit thin layers of photoresist onto silicon wafers, can therefore be used to deposit uniform thin films of PPV onto planar substrates. By substituting alkyl chains into the benzene rings of PPV, polymers can be synthesised which are soluble in common organic solvents, and can therefore be spin-cast directly. Poly(2-methoxy-5-(2'-ethyl-hexyloxy)-/>phenylenevinylene), MEH-PPV, was one of the first derivatives synthesised for this purpose (Wudl et al, 1991). By using electron withdrawing or donating substituents the electronic energy levels of these materials can be adjusted (Bredas and Heeger, 1994).
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The physical properties of organic semiconductors depend to a large extent on the morphology of the bulk material, and the differences between small molecules and conjugated polymer-based devices are largely a result of this dependence. Much of the early work on small molecules was carried out on single-crystal samples, in which relatively high electronic mobilities can be obtained. Amorphous samples have a lower mobility, as charges must hop between adjacent molecules, a process that involves an activation energy. Despite this, amorphous films of molecular semiconductors have turned out to be advantageous for applications of organic lightemitting devices. Uniform amorphous films can be produced over large areas by vacuum sublimation. Small molecules have a tendency to crystallise, a process associated with premature device failure in organic molecular displays, and preventing this from occurring has been the focus of much recent research. Crystallisation can create pinholes in the organic films, and grain boundaries along which diffusion of impurities may occur. Bulk samples of conjugated polymers tend to be highly amorphous, although the morphology of a particular material depends critically on its chemical structure, and on the method of synthesis and film preparation. PPV provides a relevant example. Electron diffraction studies of PPV by Granier et al. (1986; 1989) revealed the presence of microcrystallites with a monoclinic unit cell containing two monomer units. Masse et al. (1990) demonstrated that the microcrystallites were on a typical length-scale of 50 A. A number of attempts have been made to increase the degree of molecular order, including stretch-alignment of heated polymer films (Briers et al., 1994) and the use of a precursor polymer consisting of rigid conjugated chain segments separated by flexible spacer groups (Halliday et al, 1993; Pichler et al., 1993). Optical measurements by McBranch et al. (1995) suggest that, in the case of thin spin-cast films made from soluble polymers, the molecular chains lie primarily in the plane of the film.
9.3.2 Electronic properties of conjugated molecules The novel electronic properties of conjugated molecules arise from the overlap of the pz orbitals. The interaction between these orbitals on two adjacent carbon atoms causes their degeneracy to split, and a pair of 7i-type molecular orbitals are formed, as illustrated in Fig. 9.5. In a polymer chain, several electrons contribute to the 7i system, and the bonding and anti-bonding orbitals become broad quasi-continuous energy bands, analogous with the conduction and valence bands of inorganic semiconductors. As the overlap between adjacent pz orbitals and the number of electrons participating
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Devices
in the Ji-system increases, the bands become wider, and the energy gap between them decreases. Thus larger molecules and longer polymer chains tend to have smaller band gaps. In the context of molecular semiconductors we shall define the band gap as the energy difference between the top of the valence band (the highest occupied molecular orbital, or HOMO) and the bottom of the conduction band (the lowest unoccupied molecular orbital, or LUMO). The band gap controls the optoelectronic properties of conjugated materials, and its value is typically in the range 1-4 eV. As a caveat, however, we note that the exact energy of the optical transition may differ from the band gap due to excitonic effects; we will discuss this later. anti-bonding
orbital
<
•<
v<
bonding orbital
Degenerate p 7 levels
(a) Non-degenerate molecular orbital levels
LUMO
«—HOMO
(b) Quasi-continuous energy bands resulting from overlap of many pz orbitals
Figure 9.5 Schematic diagram showing the energy levels of electrons in pz hybridised atomic levels, and subsequently in the n bonding and anti-bonding molecular orbitals when (a) two atoms are brought together to form a dimer, and (b) when a large number of atoms in a chain contribute to the delocalised n system.
Exciting an electron from a bonding orbital to an anti-bonding orbital is equivalent, in the band picture, to transferring an electron from the valence to the conduction band by supplying it with an energy greater than the band-gap energy. Electrons in the % system can therefore be electronically and vibrationally excited by absorption of light, or by addition or removal of charges by electric fields or chemical dopants. In a real polymer chain, the conjugated structure is unlikely to extend along its full length, as imperfections, defects, and conformational kinks interrupt the orbital overlap. Instead, there will be a series of chain segments, each of which is characterised by a different number of repeat units and has a different band gap. The longer the conjugated segment, the narrower the gap between the HOMO and LUMO energy levels. Estimates of the conjugation length come from comparisons of the optical and electronic properties of a particular polymer with those of a range of related oligomers with different, known, chain lengths (Woo et ai, 1993).
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benzenoid form
quinoid form
benzenoid form
LUMO
^H^ u,
•H-
U;
u, u U„ 2
*k
HOMO bipolaron q = ~2
polaron q = -1
U:
± exciton q=0
u2
4 3 polaron
q=+1
u?
3
bipolaron q = +2
Figure 9.6 Schematic representation of a bond alternation defect on a segment of a chain of poly(/>phenylene). Below, the energy level diagrams of neutral excitons and positive and negative polarons and bipolarons are illustrated. The associated optical transitions are marked in red.
In the solid state, the dominance of intramolecular forces over intermolecular effects make these materials pseudo-one-dimensional semiconductors. This allows structural and electronic modification of conjugated segments when excited states are formed, allowing their energy levels to relax within the band gap. In most conjugated polymers the local geometrical rearrangement is towards a reversal of the sense of double/single bond alternation which raises the energy of that section of the chain. Such is the case in poly(p-phenylene) (PPP), in which the benzenoid form is preferred in the ground state (Friend et al, 1987). Excitation causes a rearrangement to the higher energy, quinoid form, as illustrated in Fig. 9.6. This depicts a doubly charged defect termed a bipolaron, which is generally considered to be the product of chemical doping. Also shown are the energy level diagrams of the neutral exciton, the positive and negative polarons and bipolarons, and their associated optical transitions.
9.3.3 Photoexcited states in conjugated materials Excited states in small conjugated molecules are known to have the form of bound electron-hole pairs, termed excitons. However, opinion is divided as to whether optical transitions in conjugated polymers are best described by an exciton or semi-
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conductor band model. The anisotropy of inter- and intramolecular coupling in conjugated polymers indicates that these materials occupy the middle ground between small conjugated molecules and inorganic semiconductors, in which strong intersite coupling of the extended crystal lattice gives rise to uncorrelated electrons and holes. Measurements of photoconductivity (Lochner et al, 1978), electroreflectance (Sebastian and Weiser, 1981) and site-selective fluorescence (Pautmeier et al, 1990; Rughooputh et al, 1988) established the excitonic nature of the optical transitions of polydiacetylene. For PPV, in many ways the prototypical conjugated polymer, models of the primary products of photoexcitation range from weakly-bound excitons that are well delocalised along the polymer chains (Lee et al, 1993a), to moderately strongly bound intrachain excitons (binding energy -0.4 eV) (Bredas et al, 1996; Marks et al., 1994), to models with binding energies above 1 eV (Chandross et al, 1994). The band model was initially employed to explain the lowest %-n* transitions in conjugated polymers such as polyacetylene, poly(p-phenylenevinylene), poly(pphenylene), and polythiophene. In this approach, optical transitions are simulated by the single-chain one-electron Su-Schrieffer-Heeger (SSH) Hamiltonian, which ignores electron-electron interactions (Su et al, 1979). There is substantial evidence that optical transitions in conjugated polymers such as PPV are described by an excitonic model. Primary support comes from the site-selective fluorescence measurements of Rauscher et al (1990). For excitation above the localisation threshold, the emission spectrum is independent of energy, with a fixed Stokes shift from the absorption spectrum. Below this energy threshold, the energy of the peak in the emission spectrum decreases with excitation energy. These observations are consistent with a model in which excitons diffuse to regions of longer conjugation length before recombining radiatively. Excitons generated below the localisation threshold have insufficient energy to migrate to lower energy sites. Moreover, the rise of the photoconductivity in PPV at the absorption edge (Pichler et al, 1993) can be explained by a model in which excitons are subsequently dissociated by defects. (Antoniadis et al, 1994a; Marks et al, 1994). The dissociation of excitons at these sites to yield polarons and bipolarons explains the observations of photoinduced absorption experiments. The quenching of photoluminescence in conjugated polymer films subjected to an electric field has been used to argue that photoexcitation creates excitons, which are dissociated by the electric field (Kersting et al, 1994). The role of interchain interactions in solid films of these polymers has been considered, and Rothberg and co-workers have suggested that only a small fraction of photoexcited carriers in PPV are intrachain singlet excitons, and that approximately 90% are bound polaron pairs on adjacent chains that lead to negligible quantities of luminescence (Yan et al, 1994). However, the synthesis of conjugated polymers with
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luminescence yields higher than 60% suggests that only a minority of the photoexcited species in these materials are in the form of non-emissive polaron pairs (Hwang etal, 1996). In the excitonic model, the electronic transitions are strongly coupled to the vibrational modes of the molecule, giving rise to vibronic structure in both the absorption and emission spectra. The photoexcitation of triplet excitons from the ground state is dipole-forbidden, and excitation creates vibrationally excited singlet excitons that relax by phonon emission to the lowest vibrational sub-level of the new electronic level within -100 fs. The emission spectra of most conjugated polymers approximately mirror their corresponding absorption spectra. The 0-0 bands do not coincide, but are separated by the Stokes shift, which arises from the structural relaxation of the exciton before it emits radiatively. There is extensive evidence for the diffusion of excitons between adjacent conjugated sites, in addition to that provided by site-selectivefluorescence.Transient photoluminescence experiments show a monotonic red shift of the emission with time for excitation above the localisation threshold (Hayes et al, 1995; Kersting et al, 1993; Samuel et al, 1993). Monte Carlo simulations of such measurements indicate that the migration is three-dimensional in nature (Rauscher et al, 1990). The migration of excitons to lower energy sites has the effect that emission occurs from a narrow distribution of conjugation lengths, whereas absorption probes the full range of lengths. This is consistent with the observation that emission spectra are generally narrower and richer in vibronic structure than absorption spectra. In conclusion, the excitonic model of photoexcitation will therefore be assumed to be the most appropriate in the conjugated polymers and molecules used in organic solar cells. In order for photogenerated charges to be collected in a solar cell these excitons must be dissociated. This is an important consideration in the design and development of efficient polymer photovoltaic cells, as we shall see later.
9.4 Basic organic photovoltaic cells 9.4.1 Introduction Before some specific examples of organic photovoltaic devices are discussed, the basic physics underlying the operation of such cells will be introduced. Most of the basic research into the photovoltaic effect in organic materials is carried out using simple sandwich-geometry cells, in which afilmof a single organic photoconductor is sandwiched between different planar contacts. Clearly, if the cell is to be exposed to
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illumination at lcasl one of the contacts must be (semi-)transparent and this is usually achieved by using glass coated with indium tin oxide (ITO), or a thin metal layer. Such a cell is illustrated in Fig. 9.7. ITO is extensively used in the fabrication of liquid-crystal displays as a transparent conducting electrode. Polymer LEDs, which are structurally the same as simple organic photovoltaic cells, generally employ ITOcoated glass as the hole-injecting contact, through which the emitted light can escape. The transparency and rigidity of ITO-coated glass makes it an ideal substrate for the fabrication of polymer photovoltaic cells.
r\ ^-\
light )
T
/ /
substrate
glass quartz plastic
electrode 1 semitransparent
organic photoconductor
ITO metal
molecular polymer
electrode 2 opaque A;
fcMg
JL
Figure 9.7 Schematic cross-section of a sandwich-type organic photocell. The thickness of the organic layer is typically 0.01-1 fan.
Thin films of small molecules are generally deposited by vacuum sublimation. Conjugated polymer films may be deposited by spin-coating from solution, or alternatively deposited by blade coating. The active layers in most organic devices are a few tens or hundreds of nanometres thick. The top contact in a sandwich cell is generally deposited by thermal evaporation, or, less commonly, electron beam evaporation. In these processes, which are carried out under vacuum, the metal is heated either by a filament or crucible made from a high melting point metal, or by a focussed electron beam, to beyond its melting point. Metal atoms evaporated from the source are deposited onto the polymer surface. The contacts are patterned using a shadow mask placed in the path of the evaporated metal atoms. The different work functions of the two contacts that sandwich the organic photoconductor set up an electric field in the organic layer. This field is responsible for separating the charges and driving them to their appropriate electrodes, and for the open-circuit voltage measured across an illuminated cell. The field profile depends on the conductivity of the organic material. If the material is doped n- or p-type, charge redistribution will occur until the Fermi level is constant throughout the cell. This gives rise to a Schottky-type junction, illustrated in Fig. 9.8a, familiar in many doped inorganic semiconductor systems, and therefore not described in any detail here. Depletion is expected to occur at the lower work function contact if its work function is lower than that of the semiconductor. In contrast, if the material is highly insulating
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with a very low dopant concentration, the depletion layer thickness exceeds the thickness of the semiconductor layer and the field is constant throughout the cell as is the case in most organic devices (Fig. 9.8b). Such devices are termed tunnel diodes, and are less familiar in conventional semiconductor devices. Under illumination, either excitons or charge carriers are generated. Providing the neutral species can be ionised and the charges separated by the built-in field before recombination occurs, the negative charges can drift to the low work function electrode (such as aluminium) and the positive charges can drift to the higher work function material (such as ITO). Energy
Vacuum level
ITO
Polymer
A
(a) Before contact
(b) High carrier concentration
(c) Low carrier concentration
Figure 9.8 Schematic representation of the energy levels in a polymer photocell (a) before the polymers and the two contacts (in this case ITO and aluminium, with work functions Onx> and A| respectively) are placed in contact, and (b and c) after contact, with no external bias. In case (b) the polymer has a extrinsic carrier concentration, and a Schottky barrier is formed at the polymer/Al interface. In contrast, in (c), the polymer is highly insulating and the depletion layer extends throughout the device.
9.4.2 Molecular photovoltaic cells Pochettino (1906) and Volmer (1913) were the first workers to observe photoconductivity in the organic solid anthracene, the structure of which is shown in Fig. 9.1. Anthracene is one of the most widely studied molecular electronic materials. Its crystal structure was determined accurately in the 1950s, and procedures for synthesising high-purity anthracene samples were refined in the following decade. Since the discovery of the effect, it was not until the 1950s that the photoconductivity of anthracene was investigated more fully (Borsenberger and Weiss, 1993). It was demonstrated in these studies that absorption of light leads to the generation of excitons, which migrate to the surface before dissociating to yield free charges at defect or impurity sites, including adsorbed oxygen atoms. Chaiken and Kearns
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(1966) suggested that at high excitation energies (above 4.0 eV) the photocurrent arises from a direct ionisation process (i.e. a band-to-band transition) whereas the dissociation of singlet excitons was responsible for photogeneration at lower energies. As with much of the early research on organic photoconductors, research was directed towards finding materials suitable for reprography, rather than for solar cell applications. However, the photoelectrical requirements for reprographic materials are very similar to those for solar energy conversion, a fact not exploited fully by workers until the 1970s. The first classes of organic materials to be considered seriously as photovoltaic (rather than simply as photoconductive) materials were the porphyrins and phthalocyanines. Chlorophyll, the familiar green pigment responsible for the conversion of solar energy in plants, is a porphyrin, a class closely related in structure to the phthalocyanines. Kearns and Calvin (1958) demonstrated the photovoltaic effect in a cell based on magnesium phthalocyanine (referred to here as MgPh and shown in Fig. 9.2) with transparent conducting glass electrodes, and measured a photovoltage of 200 mV. Using copper phthalocyanine, Delacote et al. (1964) observed rectifying behaviour in asymmetric metal 1/CuPh/metal 2 cells, a necessary requirement for a photovoltaic cell. Federov and Benderskii (1971, 1971) fabricated an Al/MgPh/Ag cell and observed a rectification ratio of 103 at 1.5 V. They attributed the diode-like behaviour to the formation of a p-n junction by the diffusion of Al into the organic layer (the device had been heat-treated) where it complexes with the phthalocyanine, replacing the magnesium. They observed a photovoltaic effect which increased in magnitude as the cell was exposed to oxygen, a phenomenon associated with the dissociation of photogenerated excitons at oxygen sites. Ghosh et al. (1974) used cyclic voltammetry to confirm the formation of a Schottky barrier in an Al/MgPh/Cell, and determined photovoltaic characteristics in agreement with the extracted Schottky barrier parameters. Their results are illustrated in Fig. 9.9a. They obtained a photovoltaic efficiency of 0.01% under illumination at 690 nm, one of the highest values reported up to that time. The exciting prospect of emulating the highly evolved natural process of photosynthesis in an artificial solar cell inspired the use of chlorophyll-a (Chl-a) in organic photovoltaic cells. Early investigations of the photovoltaic effect in Chl-a in the late 1950s were not promising, and the low quantum yields obtained were attributed to trapping of charges. However, in 1970 Meilinov et al. measured a photocurrent quantum yield of 10% in an Al/Chl-a/Al cell. Work by Putseiko et al. suggested that the photoconductivity of Chl-a is enhanced in the presence of water, which was later shown by Katz and co-workers to give rise to the formation of a microcrystalline phase of a Chl-a-H20 adduct (see Tang and Albrecht (1975a) for a
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I
500
600
700
800
Wavelength (nm)
900
400
500
600
700
800
Wavelength (nm)
Figure 9.9 The left hand graph (a) shows the absorption spectrum (circles) of magnesium phthalocyanine along with the photocurrent action spectrum (triangles) of an Al/MgPh/Ag photodiode. The cell was illuminated through the gold contact. The solid line through the triangles is a simulation of the photocurrent, based on the assumption that excitation of the MgPH close to a barrier region at the aluminium back contact contributes predominantly to the photocurrent. After Ghosh (1974). The right hand graphs show the absorption spectra (lower graph, c) of microcrystalline chlorophyll-a, as prepared (1) and after heat treatment (2). The upper graph (b) shows the photocurrent action spectrum of Al/Chl-a/Hg cells before (1) and after heat treatment (2). The cells were illuminated through the aluminium film. In this case the action spectra closely resemble the optical density of the film. Heat treatment causes a phase transformation to a disordered phase, and the photocurrent decreases by an order of magnitude. After Tang and Albrecht (1975a).
summary of this early work). Tang and Albrecht (1975a; 1975b) published extensive investigations into the photovoltaic effect of Chl-a in which they used a range of different metals in simple sandwich structures. They concluded that a Schottky barrier was formed in thep-type Chl-a in the vicinity of the lower work function contact, and found this region to be the active area for photogeneration. A maximum power conversion efficiency of 0.05% was obtained in a Cr/Chl-a/Hg cell under monochromatic illumination at 745 nm. Figures 9.9b and 9.9c show their results for an Al/Chl-a/Hg cell. Anthracene belongs to a class of materials termed polyacenes, which are made from different numbers of fused benzene rings. The photoconductive properties of a number of other polyacenes have been investigated. Naphthalene, which consists of two fused benzene rings, has a very low photoconductivity, with a quadratic intensity dependence, suggesting that photogeneration arises from exciton-exciton annihilation
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(Braun and Dobbs, 1970). The photoconductivity of tetracene, with four rings, is considered to occur by diffusion of excitons to surface sites where ionisation leads to the trapping of the electron, as in anthracene (Borsenberger and Weiss, 1993). The photoconductivity of pentacene, which has five benzene rings, was investigated by Silinish et al. (1980) and found to be consistent with the electric-field-induced dissociation mechanism proposed by Onsager (1934). Perylene derivatives, which are widely used in xerography as electron acceptors and charge generation layers, have been incorporated in organic photovoltaic cells in both single- and double-layer structures (Tang, 1986; Hiramoto etal, 1992a; 1992b). Hiramoto and co-workers observed photocurrent amplification by a factor of 104 in a gold/perylene/gold sandwich-type cell, and found the phenomenon to be associated with electron injection from one of the electrodes to the perylene film through the depletion layer formed in the organic layer under a high electric field. (Hiramoto et al., 1994). Figure 9.2 shows the structures of some common perylene derivatives. The efficiency of organic molecular photovoltaic cells remained low until the mid 1980s, when various techniques were employed to increase their efficiency. The most significant advance was the discovery by Tang (1986) that the photocurrent in a molecular semiconductor could be increased by orders of magnitude if it was used in a double-layer (heterojunction) structure in tandem with a second, carefully chosen, organic semiconductor with different energy levels. This approach will be discussed in detail later in the chapter; in the meantime, simple conjugated polymer-based photovoltaic cells will be considered.
9.4.3 Polymer photovoltaic cells Conjugated polymers were applied to photocells at an early stage in the development of these organic semiconductors. Initial investigations exploited polyacetylene (Weinberger et al., 1982) and various polythiophenes (Glenis et al, 1986), but the results were not promising, with relatively low open-circuit voltages and efficiencies. Glenis et al. (1986) measured an external quantum yield of 0.17%, an open-circuit voltage of ~0.4 eV and a fill factor of 0.3 in a cell containing poly(3-methylthiophene). This sandwich-type device had electrodes of aluminium and platinum, and was illuminated with polychromatic light. In the same decade, Weinberger (1982) investigated the photovoltaic effect in polyacetylene with an aluminium top contact and a rear contact of graphite. This cell had an open-circuit voltage of 0.3 V and a charge collection efficiency of 0.3% at low light levels. These low open-circuit voltages were attributed to the formation of polarons, which bring the one-electron
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hole and electron levels deep inside the energy gap, so that the energy difference between these states is considerably smaller than the 7i-7t* gap. Thus photogenerated charges relax energetically so that the potential difference between them is small, and the open-circuit voltage of the cell is limited. The observation of electroluminescence in PPV provided indirect evidence that this family of conjugated polymers might be more suitable for incorporation in polymer photovoltaic cells. Electroluminescence involves the capture of positive and negative polarons to form singlet excitons that decay radiatively. Luminescence in PPV is observed close to the onset of the n-n* absorption (Rauscher et al, 1990), so the free energy of the electron and hole polaron states cannot be much smaller than that of the singlet exciton. Simple sandwich-type photovoltaic cells, identical in structure to polymer LEDs, containing PPV layers were first investigated by Karg et al. (1993) and have since been the subject of extensive research by various groups. Karg fabricated an ITO/PPV/A1 cell by blade-coating the ITO-coated glass substrate with a polymer precursor and heating the resulting film to convert the precursor to fully conjugated PPV. The cell showed rectifying behaviour in the dark, consistent with a Schottky diode structure, and developed an open-circuit voltage of 1V under illumination. The power conversion efficiency of this cell was approximately 0.1% under white-light illumination. Impedance spectroscopy of the cell confirmed the Schottky-type barrier at the aluminium/PPV interface. Antoniadis and co-workers at Xerox (Antoniadis et al, 1994b) fabricated similar ITO/PPV/A1 devices, and reported open-circuit voltages of 1.2 V. The power conversion efficiency was 0.07% under illumination at 460 nm with an intensity of 1 mW cm"2, and at very low intensities the quantum collection efficiency was 5%. Antoniadis also attributed the behaviour of the cell to the formation of a Schottky barrier at the low work function contact, and characterised the depletion width and carrier density using cyclic voltammetry. PPV and many other polymers show p-type behaviour allowing the formation of depletion layers with low work function metals. In many polymers this doping is known to result from the incomplete removal of materials used during their synthesis. In the case of the polythiophenes the doping is considered to result from residual iron chloride, which is used as a catalyst during its synthesis (Einsiedel et al, 1998). In the case of PPV the p-type behaviour is most likely to result from doping of the polymer by atmospheric oxygen. Marks and co-workers (1994) also fabricated ITO/PPV/A1 cells, but considered their cells to be fully depleted, as the dark carrier density was found to be very low in their PPV, leading to a conductivity of less than 10~12 S cm"1 in the dark. The results were interpreted in terms of photoexcitation in a tunnel-diode structure, the rectifying characteristics arising from the tunnelling of carriers through the triangular barriers at
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the polymer/contact interfaces. Open-circuit voltages saturating at 1.2 V and lowintensity external quantum yields of order 1% were reported. Using calcium instead of aluminium as an electrode, open circuit-voltages approaching 1.7 V were obtained, owing to the larger work function. Yu et al. (1994a) invoked the same tunnel-diode model for cells which they fabricated using a soluble PPV derivative, poly(2methoxy-5-(2'-ethyl-hexyloxy)l,4-phenylenevinylene) (MEH-PPV). They reported external quantum yields of order 0.1% in short circuit, and up to 20% under an applied reverse bias of 10 V under monochromatic illumination. Photodiodes fabricated from PPV and its derivatives also function as light-emitting diodes when driven in forward bias, a fact highlighted in Yu's publication; the MEH-PPV cells operated as LEDs with an external quantum efficiency of 1%. The photocurrent action spectrum of an MEH-PPV device is shown in Fig. 9.10 (Halls, 1997a). As will be discussed in Section 9.6. this type of response (one in which the photocurrent peaks at the onset of absorption when the cell is illuminated through the ITO contact, and falls off when the absorption coefficient increases) is typical of organic photovoltaic cells. and indicates thai excitation of the polymer close to the aluminium back contact contributes most to the collected photocurrent. Photoconductivity measurements have been performed on many other conjugated polymers, many of which are based on PPV. These include poly(2,5-diheptyloxy-pphenylcnevinylene) (HO-PPV) (Frankevich et al.. 1996), ladder polymers with a double backbone such as polybenzimidazo-benzoisoquinoline (BBL) (Narayan et al., 1994). and polythiophenes such as poly(3-hexylthiophene) (Tada and Yoshino, 1997a). In these cells the monochromatic current collection efficiency in short-circuit mode rarely exceeds 1%. 0.08
3- o
1.8 o
1.8
2.2
2.6
3.0
3.4
Energy/eV Figure 9.10 Graph showing the photocurrent action spectrum of an ITO/MEH-PPV/A1 device, under illumination through, alternately, the aluminium electrode and the ITO electrode. The absorption spectrum of the polymer is shown for comparison (dashed line). After Halls (1997a).
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J. J. M. Halls andR. H. Friend
9.5 Photogeneration and charge transport in organic PV cells 9.5.1 Introduction This section considers in more detail the physics underlying the operation of the simple organic photovoltaic cells introduced in the previous section. The production of a photocurrent in an organic cell of this type, in which the built-infieldis provided by the difference in work functions of the electrodes, arises from four distinct processes: 1. Absorption of a photon to create a carrier pair, which may be bound. 2. Dissociation or separation of the carrier pair. 3. Transport of electrons to one contact, and holes to the other contact, driven by the built-in field. 4. Collection of the charges at the electrodes. The absorption spectrum of the organic photoconductor defines the spectral range over which the cell will respond to light. This will depend on the chemical structure of the particular molecule or polymer, a useful feature which enables organic semiconductors to be synthesised with controllable absorption spectra. Most organic dyes and conjugated polymers are strongly absorbing, and a film of only a few hundred nanometres is sufficient to absorb a significant proportion of the light providing it falls within the absorption band of the material.
9.5.2 Photogeneration in organic semiconductors If a semiconductor band model is adopted, the photogeneration mechanism will be similar to that encountered in inorganic semiconductor materials: absorption of a photon creates an uncorrelated electron and hole which move to opposite contacts under the influence of the applied field and are collected, giving rise to a photocurrent. In contrast, if an exciton model is employed, the photogeneration process is complicated by the need for the bound electron-hole pair to be separated. It is almost universally considered that the excitonic model provides a more satisfactory basis for the understanding of the electronic properties of most conjugated polymers, and is certainly more applicable to molecular semiconductors. Although the internalfieldis relatively high (about 107 V m"1) in typical thin-film organic devices, it is unlikely that afield-assistedexciton ionisation, of the type first proposed by Onsager (1934), is the dominant charge generation mechanism in most
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cells. Evidence points to the role of extrinsic effects in the ionisation of excitons in both molecular and polymer semiconductors. In practice, a molecular or polymer film will have a certain concentration of defects and impurities at which one may expect exciton dissociation to occur. We will now consider a number of these possibilities. Molecular oxygen Oxygen is known to act as an electron acceptor and may therefore assist in the ionisation of excitons. Lyons in 1955 (Lyons, 1955), and later Chaiken and Kearns (1966), proposed that the photogeneration process in anthracene involved diffusion of excitons to the crystal's surface, where sites associated with oxygen molecules act as deep electron traps. It later became generally accepted that anthracene was a predominantly extrinsic semiconductor. Harrison (1969) argued that a similar mechanism occurs in metal-free phthalocyanines, and investigations carried out in various controlled ambient conditions have shown that the photoconductivity of many other molecular semiconductors is enhanced in the presence of oxygen. Molecular oxygen has also been shown to play a similar role in conjugated polymer photodiodes. From secondary ion mass spectrometry (SIMS) measurements by Sauer et al. (1995), it is evident that molecular oxygen is one of the primary contaminants incorporated into conjugated polymer films. The role of oxygen in controlling the photoconductivity of a soluble PPV derivative, HO-PPV, was investigated by Frankevich et al. (1996). The photoconductivity of the polymer increased on application of an external magnetic field, and this magnetic field effect (MFE) was enhanced in the presence of oxygen. A photogeneration mechanism was proposed in which positive mobile charge carriers are produced by dissociation of singlet excitons by very fast electron transfer to oxygen molecules. The MFE was shown to be connected with the reaction of singlet and triplet excitons with oxygen molecules, the magnetic field causing spin evolution of various intermediate excited states. The MFE cannot be explained by a simple band-type model in which photogeneration generates uncorrelated electron-hole pairs prior to ultrafast electrontransfer to an acceptor species. Such a mechanism was proposed by Lee (1993a) and Sariciftci (1993a) for the sensitisation of the photoconductivity of conjugated polymers by the addition of fullerenes. In this scheme, holes have the greater mobility and are the main contributors to the photocurrent, whereas electrons are trapped on the acceptor molecules.
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Carbonyl groups Photo-oxidation of many conjugated molecules causes a reduction of their luminescence efficiencies. Fourier transform infra-red (FTIR) spectroscopy of photooxidised PPV by Rothberg (1996a) suggests that double bonds in the molecular backbone are broken in the presence of light and oxygen, shortening the conjugation length. In addition, the carbonyl (C=0) content is seen to increase substantially. These effects are consistent with the formation of carbonyl groups at the vinylic carbon atom sites. These groups quench luminescence by ionising singlet excitons, through charge transfer of an electron to the electronegative carbonyl oxygen atom. This process is illustrated in Fig. 9.11. Rothberg has shown that one carbonyl group incorporated for every 400 PPV repeat units is sufficient to reduce the photoluminescence (PL) intensity by a factor of two. Harrison and co-workers (1996) found that photo-oxidised PPV samples contain a distribution of quenching centres following the profile of the absorption depth, which causes the PL efficiency to decrease with increasing excitation energy. While other photo-oxidation products may well be formed, the importance of Ihe aldehyde group in the quenching of luminescence has been confirmed by a study of the PL efficiency of model oligomers and their aldehyde counterparts (Rothberg el al.. 1996b).
pristine segment oxidised segment Figure 9.11 Schematic energy level diagram, showing exciton dissociation by charge-transfer of an electron to an oxidised chain segment. The hole remains on the pristine segment. After Rothberg (1996a).
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Associated with this quenching of luminescence, various groups have observed an enhancement in the charge photogeneration efficiency, consistent with the dissociation of excitons by oxidised chain segments. The quenching of luminescence by activated exciton dissociation gives indirect evidence for the effect of carbonyl groups on the photoconductivity. In a study by Antoniadis et al. (Antoniadis et al, 1994a) thin PPVfilmswere exposed to white light in the presence of air, and the photocarrier generation efficiency was found to be increased by a factor of 40. Measurements of the dark conductivity ruled out an increase in mobility being responsible for the enhancement in the photocurrent. The photoconductivity enhancement was not, however, quantitatively commensurate with the quenching of the PL. Antoniadis therefore ruled out the dissociation of relaxed emissive excitons as the dominant mechanism for photogeneration. Instead, he suggested that an intrinsic photocurrent arises from the dissociation of the initially created hot excitons, and efficient extrinsic photogeneration occurs when these hot excitons are excited near photo-oxidatively introduced defects where dissociation is highly probable. Papadimitrakopoulos (1994) suggests that carbonyl groups may also be formed in PPV during the conversion process. The thermal conversion of PPV in a reducing environment was shown to decrease the concentration of carbonyl defects in the polymer film. Interchain effects Rothberg (1996a) has proposed that the primary product of photogeneration in PPV is not the singlet exciton, but instead a bound polaron pair, consisting of oppositely charged polarons on different conjugated segments, bound by the coulomb interaction. Rothberg considered that these polarons are formed from vibrationally hot intra-chain excitons, and argued that approximately 80-90 % of absorbed photons generate these polaron pairs, which are non-emissive, the remainder generating luminescent singlet excitons. This is consistent with the luminescence efficiency of the PPV used in Rothberg's study, which was -10%. Frankevich et al. (1992) proposed that polaron pairs play an important role in the photogeneration of charged carriers. Since the coulombic binding and wavefunction overlap of polaron pairs is smaller than that of singlet excitons, it is relatively easy for one or more of the oppositely charged polarons to slide away under the influence of the internal field. Rothberg concluded from photoinduced absorption measurements of pristine and oxidised PPV that interchain excitons (polaron pairs) are not quenched by carbonyl defects, perhaps because they are immobile. An intuitive model for a polaron pair is that of an electron trapped on a carbonyl group, bound by the coulomb interaction to an otherwise mobile hole on an adjacent chain or conjugated segment.
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J. J. M. Halls andR. H. Friend
Mizes and Conwell (1994) have undertaken a theoretical study of polaron pairs. It is proposed by both these authors and by Rofhberg et al. (1996a) that the photoinduced absorption features measured in PPV are in fact due to the generation of polaron pairs, rather than the creation of triplet excitons (Brown et al, 1993) or polarons (Antoniadis et al, 1994a) which are common assignments of the excitedstate absorption transitions. Rothberg deduced from transient photoinduced absorption measurements that polaron pairs are formed in MEH-PPV films but not in solution, confirming the inter-chain nature of this species. The chemical tailoring of luminescent polymers has enabled synthesis of materials with luminescence quantum yields exceeding 60%, suggesting that, in these polymers at least, the yield of non-emissive polaron pairs must be less than 40%. Modelling of the photoluminescence excitation spectra of PPV by Harrison et al. (1996) indicates that the branching ratio for the production of singlet excitons from absorbed photons is approximately unity, ruling out the production of a significant number of nonemissive intra-chain species. It should be noted though that the polymer samples used by research groups around the world are likely to be very different in actual composition, morphology and contamination level, and these factors may well influence the ratio of singlet excitons to polaron pairs generated in a particular sample. Other mechanisms In an ideal polymer film, the polymer chains would be straight, since the bonding in these materials makes the chains rigid, and a linear shape is the most stable conformation. In practice, however, there are likely to be kinks in the polymer chains, distorting the conjugation and causing localised changes in the electronic energy levels of the frontier states. Charge transfer may occur to lower energy segments, giving rise to exciton dissociation. In a polycrystalline molecular photoconductor, grain boundaries and other surface and bulk defect sites may act as exciton dissociation sites. Finally, if the photoexcitation density in the photoconductor is high, exciton-exciton annihilation may be expected to occur, giving rise to charged polarons, the equivalent in organic semiconductors of free electrons and holes.
9.5.3 Charge transport in organic semiconductors There is extensive evidence from temperature- and field-dependent conductivity measurements that charge transport in both conjugated polymers and small molecules occurs by a hopping mechanism. Two mechanisms have been proposed:
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1. It is generally held that 'free' charges on a molecule relax to form polaronic states. The transport of polarons involves delocalised movement within a conjugated domain, and intra- and inter-chain hopping to spatially separated sites. For a polaron to hop to a new site, an activation energy is required to overcome the binding energy associated with the lattice distortion (Schein et al, 1990). The mobility u depends on temperature according to u ocexp(-To/T)
(9.1)
2. In a disordered material there is a broad distribution of both the spatial overlap and energy difference between atomic sites which is best modelled by a variable-range hopping mechanism (Pautmeier et al, 1990). The theory associated with this model was developed to explain the conductivity of molecularly doped polymers, materials which are comprised of active molecules dispersed in an inert matrix, as are encountered in xerography. In this formalism, the mobility varies as
««exp[-(7;/7-)']
<9-2>
In each case, T0 is a constant related to the activation energy. In practice, it is difficult to measure the mobility over a sufficient temperature range to determine which of these mechanisms is the more appropriate. Neither formalism fully simulates the observed variation of mobility withfieldand temperature in conjugated materials. Time-of-flight (TOF) measurements can reveal valuable information related to charge transport in organic semiconductors. In a TOF experiment, a thin (-10 um) organic film is sandwiched between metal electrodes. Carriers are photogenerated by a short, strongly absorbed, laser pulse through one of the electrodes, and are separated by an externally applied electric field. One of the charged species recombines at the illuminated electrode, and the other traverses the polymer layer, giving rise to a timedependent photocurrent (Meyer et al., 1995). In PPV, the TOF current transients are broadened anomalously and the charge transport is said to be dispersive (Antoniadis et al, 1994c). The hopping rate decreases with time as the charge carriers relax into thermal equilibrium. This suggests the presence of disorder in the system, indicating that the disorder model may be more appropriate of the two models described above. The dispersive nature of transport in PPV has been attributed to trapping and release of charges at grain boundaries, defects and impurities (Meyer et al, 1995). As a consequence, the transit time is comparable to the time taken for carriers to equilibrate within the density of states. Release times of charges from traps in PPV may exceed 0.1 s at room temperature.
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Meyer et al. (1995) observed that the transport of holes in DPOP-PPV, a soluble PPV derivative, was considerably better than in PPV itself, and concluded that this arose from the absence of grain boundaries in the material. Using TOF measurements, Meyer argued that charge transport in DPOP-PPV was best described by a model in which holes hop between monomer units which act as traps. The estimated trap depth corresponded well with the measured activation energy of the mobility, and the mean distance between trapping events (~4 A) was attributed to the distance between adjacent polymer chains. An intermolecular spacing of 6-8 A has been reported in stretch-aligned PPV (Granier et al, 1986). The mobilities of electrons and holes in PPV are very different, despite the fact that the conduction and valence bands have similar widths (Bredas et al., 1982). Hole mobilities of -10"4 cm2V"] s"1 have been measured in PPV (Obrzut et al., 1989; Takiguchi et al., 1987). Electron transients were not observed in these TOF experiments, indicating that the electron mobility is several orders of magnitude less than that of holes. Antoniadis et al. (Antoniadis et al, 1994c) reported mobilitylifetime products, ur, of 10~9 and 10 12 cm2 V"1 for holes and electrons respectively, corresponding to a mean range of 1 jum for holes and 1 nm for electrons. These measurements were made at a field of 105 Vm"1, typical of the electric field in a polymer sandwich photovoltaic cell. The lower electron mobility must arise from the presence of traps, which may be oxygen atoms incorporated in the polymer film. Since both positive and negative charges are present in the polymer layer of a photovoltaic cell following photoexcitation, it is inevitable that many will recombine as they traverse this layer, and so will not contribute to the photocurrent. The electron and hole arising from the dissociation of a singlet exciton may recombine, a process termed bimolecular geminate recombination. Alternatively, electrons and holes from different ionised excitons may recombine (non-geminate bimolecular recombination). The outcome of a recombination event may produce another singlet exciton, which may decay radiatively or non-radiatively, possibly giving rise to charged carriers again. The probability of recombination depends on the population of charges in the polymer layer. Bimolecular recombination is more likely at high light intensities. Trapped electrons are likely to act as recombination centres for holes, and the slow electron release rate indicates that there will be a high equilibrium concentration of these (Meyer et al., 1995). However, in the experiments by Frankevich (1996) on the magnetic field dependence of the photoconductivity it was proposed that the recombination of holes with 02~ ions, which were taken to be thefilledelectron traps, was very slow, and this was manifested by a quasi-persistent photoconductivity.
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9.6 The characteristics of organic photovoltaic cells 9. 6.1 Photocurrent action spectra The dependence of the photocurrent in an organic photocell on the excitation wavelength provides important information about the photogeneration process in the device. It also dictates which applications the photocell may be suitable for. Many of the steps involved in charge generation in an organic photodiode are wavelengthdependent. The first of these is the depth profile of absorption in the semiconductor. At wavelengths where the absorption coefficient is high, light is absorbed close to the transparent contact; when the absorption coefficient is smaller, more light penetrates deeper into the film, closer to the back metal contact. Second, a certain fraction (the branching ratio) of absorbed photons creates singlet excitons, and it is assumed that the photocurrent is dominated by their ionisation. In some molecular systems, this fraction is found to be energy-dependent, as in the case of sexithienyl (Dippel et al., 1993), although a recent investigation by Harrison et al. (1996) suggests that in pristine PPV the branching ratio is broadly independent of excitation energy. Third, in a simple model of photoexcitation, there is no difference between the excitons created at different photon energies. 'Hot' excitons created by photons with energies high above the band gap thermalise to form 'cold' excitons on a timescale of ~100 fs, considerably faster than the processes of ionisation and radiative decay. However, a recent theoretical study by Bredas and co-workers indicates that excitons created in higher energy bands have a more delocalised wavefunction than those created closer to the band edge, and have a lower binding energy (Kohler et al., 1998). This phenomenon is thought to contribute to the sharp rise in quantum efficiency with increasing photon energy in some polymer photocells. A common phenomenon encountered in organic photocells is that illumination through one of the electrodes yields a photocurrent action spectrum which peaks at wavelengths just below the absorption edge and falls to a minimum where the absorption peaks. Such a response is exhibited in Figs. 9.9a and 9.10. An antibatic response of this type indicates that the active area for photogeneration is situated deep in the device, in the vicinity of the back electrode. The bulk of the film acts as an optical filter, so that when the absorption in the film is strong the quantity of light penetrating to the active layer is small. This scenario is illustrated in Fig. 9.12. We now consider mechanisms that would give rise to such a response.
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organic layer
this region acts as an optical filter
absorption in this region gives rise to a collected current
Figure 9.12 Schematic cross-section through an ITO/semiconductor/metal sandwich cell, showing how the optical filter effect can modify the photocurrent action spectrum so that the photocurrent peaks soon after the onset of absorption, and reaches a minimum at the absorption maximum.
Exciton diffusion to the polymer/metal interface In this model the device performance is controlled by the diffusion of neutral photoexcited species to the back electrode. Excitons in molecular semiconductors are known to be quenched at the interface with a metal (Persson and Lang, 1982). There are several non-radiative decay mechanisms that contribute to this quenching process, not all of which give rise to charge separation. However, if dissociation does not occur efficiently in the bulk of the film, ionisation at the interface may be the dominating photogencration process. Lyons (1955) and Kepler (1960) both reported an antibatic relationship between the photocurrent and absorption spectrum of anthracene. The response was considered to arise from the diffusion of excitons to surface sites occupied by oxygen molecules, where they dissociate. This model was also used to explain the photocurrent action spectra of the Al/merocyanine dye/Ag cells characterised by Ghosh and Feng (1978). The results fitted a model in which only those excitons that diffused to the merocyanine/Al interface produced free carriers, by injection of a hole into the merocyanine and an image charge into the metal. The active region in each of these cases is the zone in which excited excitons can diffuse to the back metal contact, and is equal in width to the exciton diffusion range.
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Electron diffusion model In this model, the properties of the photovoltaic cell are controlled by the diffusion characteristics of the charges with the lowest mobility. The probability of exciton dissociation is assumed to be constant throughout the organic layer. As we have seen, in most conjugated polymers electrons have a shorter mean range than holes. In a simple ITO/polymer/Al photodiode, electrons are driven by the internal field to the aluminium electrode, and holes drift to the ITO contact. The photocurrent is therefore expected to be higher when charges are generated close to the metal contact so that the electrons have a shorter distance to travel to escape the device. For illumination through the ITO contact, this condition is satisfied when the absorption coefficient of the material is low and light can penetrate to the aluminium contact. When the absorption coefficient is high and the penetration depth of light is small the probability of an electron generated close to the ITO contact travelling to the opposite contact is small. The presence of trapped electrons modifies the electric fields in the device, reducing the electric field where the trapped charge density is high, and therefore suppressing further charge separation. Trapped electrons also act as recombination centres for holes, further reducing the collected photocurrent. In this model, then, the width of the active layer is linked to the mean electron range. This model has been used to understand the response of some PPV-derivative based photovoltaic cells, such as that shown in Fig. 9.9 (Marks et al, 1994). Schottky barrier model Under conditions of high extrinsic charge density, a Schottky barrier may form at the polymer/aluminium interface. Excitons created in the high-field depletion region, or within diffusion range of it, are likely to be ionised and give rise to a photocurrent. The depletion region is therefore an active region for photogeneration. The photovoltaic response recorded by Tang and Albrecht (1975a) in metal/chlorophyll-a/metal cells, shown in Fig. 9.7a, was attributed to photogeneration at the blocking contact, at which a Schottky barrier is formed. The photocurrent action spectra suggested an active area width of approximately 250 A, but the diffusion length of excitons in chlorophyll-a was found to be only 130 A. This indicated that exciton diffusion to the metal contact followed by dissociation at the electrode was not the predominant mechanism for photogeneration, unlike the case in merocyanine cells (Ghosh and Feng, 1978). Instead, a combination of diffusion of excitons to the depletion region, and ionisation in that region was proposed. A similar photogeneration mechanism was invoked to explain the operation of tetracene photocells (Ghosh and Feng, 1973).
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Refined model A more refined model for the action spectra of ITO/polymer/metal cells has been developed by Harrison (1997). The sharp rise in photoconductivity at the onset of absorption was interpreted in terms of the excitation of longer, more planar, chain segments at low photon energies. Harrison suggests that exciton ionisation is efficient in these regions, as a result of an extended exciton lifetime near the localisation edge, or enhanced interchain separation within small crystallites. The model modifies the traditional diffusion-based models of Ghosh and others, which is still required to explain the action spectrum over the full spectral range. All of the above models give very similar simulated action spectra and further information is required to determine which model best describes the photogeneration process in a particular organic photodiode. Furthermore, the actual mechanism of photogeneration is likely to involve a combination of several of the above processes. For example, Ghosh et al. (1974) proposed that photogeneration in an Al/MgPh/Ag cell occurred by dissociation of excitons at impurity sites in the bulk of the polymer film, followed by diffusion of the majority charge carriers to a Schottky barrier at the Al/organic-layer interface where charge collection is efficient.
9.6.2 Current-voltage characteristics Figure 9.13 shows typical I-V characteristics of an organic photovoltaic cell (in this example, one containing PPV). In the dark, the cell shows rectifying behaviour, with a forward-bias turn-on at around 1 V, whereas under illumination (shown with filled circles) a photocurrent is developed. As we noted earlier, it is convenient to model most organic devices as tunnel diodes, in which the depletion region extends throughout the organic layer. The insets in Fig. 9.13 illustrate the field distributions in a tunnel diode under various bias conditions. The HOMO and LUMO lines indicate the top of the valence band and bottom of the conduction band respectively. Inset a shows the diode in short-circuit mode (i.e. the potential difference between the two contacts is constrained to be zero). The internal field, equal in magnitude to the work function difference divided by the organic layer thickness, drives negative charges to the aluminium contact and holes to the ITO. By applying a reverse bias (with the ITO contact held negative relative to the aluminium, as illustrated in inset b) the internalfieldincreases in magnitude and in many cases this enhances the quantum efficiency of photoconductivity, allowing the cell to be used as an effective photo-
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diode. If the load has a high impedance the flow of electrons and holes to opposite contacts allows a potential difference to develop across the cell, which approaches the work function difference as the light intensity increases. This is the open-circuit voltage, and under this condition the bands are approximately flat, as shown in inset c. Finally, if a positive bias is applied to the cell which is greater in magnitude than Vx then the bands are tilted in tf i opposite direction, allowing tunnelling of charges into the polymer layer, as shown in inset d. In many luminescent organic semiconductors these charges can recombine and give rise to luminescence, a phenomenon exploited in organic emissive displays.
-1.5
-1
-0.5
0 0.5 External bias / V
1
1.5
2
Figure 9.13 The current-voltage characteristics of an ITOPI'V Al photovoltaic device, measured in the dark (open circles) and in the light (filled circles). Hie shape of the l—V curves is interpreted in terms of a tunnel-diode model in which the current is controlled by tunnelling through the triangular barriers at the polymer/contact interfaces, as illustrated schematically in insets a-d. These show the direction and magnitude of the electric field under a variety of biasing conditions: (a) under short-circuit conditions; (b) in reverse bias, corresponding to a negative voltage on the ITO: (c) under the fiat-band condition at a small forward bias equal to the difference in the work functions of the two contacts; (d) under a forward bias greater than the work function difference, at which injection of carriers followed by recombination and light emission may occur. The red arrows represent absorption and emission of light. After Halls (1997a).
Extensive investigations have been carried into the l-V characteristics of sandwich-type polymer diodes, largely under forward bias (the regime in which devices of this type exhibit electroluminescence). Parker (1994) proposed that current flow in MEH-PPV sandwich devices is controlled by tunnelling of charges through the triangular barriers formed at the polymer -metal interlaces. By analysing the
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characteristics of devices fabricated from MEH-PPV, with electrodes chosen to make either electron or hole injection alone the dominant process, Parker demonstrated that the form of the I-V curves could be modelled closely by Fowler-Nordheim fieldemission theory. In this model, the current varies according to the relationship I x£2 exp
with K = — \ £ J
3 h
-
(9.3)
1
where
'" 7**7
,9 41
'
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where; is the current-density, e0es the permittivity of the polymer, uh the hole mobility and d the polymer layer thickness. The expression is considerably more complicated in the case of bipolar transport due to the effects of screening.
9.6.3
The open-circuit voltage
The open-circuit voltages of organic photovoltaic cells are typically high (1-1.5 V) compared with inorganic cells, and often approach the difference in work functions of the two contacts (Marks et ai, 1994). This is in contrast to many inorganic cells, in which the presence of dangling bonds and other surface defects causes pinning of the bands at the interface, reducing the open-circuit voltage. Figure 9.14 shows how the open-circuit voltage develops under illumination in a tunnel diode structure.
(a)
(b)
(c)
(d)
Figure 9.14 Schematic diagram explaining the development of the open-circuit voltage in an ITO/polymer/metal photocell. It is assumed that the cell is connected to a voltmeter of infinite impedance; charge transferred to the contacts is therefore stored there, (a) In the dark; the Fermi levels equalise and the bands are bent, introducing the contact potential A equal to the difference in the work functions of the two polymers, (b) A photon is absorbed and opposite charges are carried to the appropriate electrode by the internal field. The energy of the metal is raised, and that of the ITO is lowered, (c) Under illumination; the bands eventually flatten as charges are transferred to the contacts and a potential difference, equal to the contact potential, is developed across the contacts, (d) Figure showing the barrier an electron must surmount to move from the metal to the ITO (Aj), and from the ITO to the metal (/i2).
The cell in Fig. 9.14 is assumed to be connected to a voltmeter with an infinite impedance (i.e. in open-circuit mode). In the dark the Fermi energies of the two contacts align, and the bands are bent as shown in Fig. 9.14a. Excitons are ionised in the cell and the separated charges move under the influence of the internal field, as shown in Fig. 9.14b. The electron is transferred to the metal contact, raising its Fermi level slightly, and the hole is accepted by the ITO, lowering its Fermi level. The
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Fermi levels of the contacts shift relative to each other and the bands are tilted; the red lines in Fig. 9.14b sketch the new energy levels in the cell. As more photons are absorbed, the bands continue to flatten. The effects of diffusion must be included for a complete description of the development of the open-circuit voltage. If the cell absorbs a pulse of light then a large number of electrons and holes are produced. The electricfieldpulls the charges to the appropriate contact and the bands flatten slightly. This changes the barriers to charge injection from the contacts to the polymer; Fig. 9.14d illustrates the effect of illumination on the barriers to electron injection. For an electron to flow from the metal to the ITO, it must surmount a barrier hi by thermal activation. Flow in the opposite direction requires the barrier h2 to be surmounted. Since h2 > h,, and the tunnelling rates depend exponentially on the barrier height,flowof electrons from the metal to the ITO outweighs flow in the opposite direction, and the net flow of electrons is therefore in the opposite direction to thefield-drivendrift current. As the intensity of the light source increases, more charge builds up at the metal contact, furtherflatteningthe bands. The barrier forflowfrom the metal to the ITO is reduced (hi approaches h0 at high excitation densities), whereas the barrier toflowin the other direction remains unchanged. The diffusion current, opposing the drift current, therefore increases. Thus, as the intensity increases, the cell tends towards, but never quite reaches, the flat-band condition, because the flatter the bands, the greater the diffusion flow opposing the drift current. Thus, providing that there are no interfacial barriers between the electrodes and the organic layer, the photovoltage approaches the value of the work function difference of the contacts (in electron volts) as the intensity increases. This also requires that the difference in the energies of the positive and negative polarons (and therefore also the band gap) is greater than the work function difference. As an example, observations of electroluminescence in PPV point to this latter energy being only slightly less than the band gap (2.4 eV). The work function difference ranges from about 0.5 eV in the case of an ITO/PPV/A1 device to 1.9 eV in an ITO/PPV/Ca diode, figures which are likely to be smaller than the oppositely-charged polaron energy difference. Thus, the open-circuit voltage is expected to be limited by the work function difference, and this is commonly found to be the case (Marks et al. 1994) Measurements of 7-F characteristics of PPV diodes at different temperatures by Wei and co-workers (1994) have shown that the opencircuit voltage is independent of temperature in the range 80 to 300 K, confirming that this parameter does not depend on the electronic properties of the organic semiconductor, but instead is controlled by the built-in potential. This opens up the possibility of the fabrication of organic photovoltaic cells with substantial opencircuit voltages.
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9.7 Heterojunction photovoltaic cells 9.7.1 Introduction Work with molecular semiconductors has demonstrated that the separation of oppositely charged photogenerated carriers is efficient at the interface between certain semiconducting materials with differing ionisation energy and electron affinity. The effect was first reported in the early 1950s; organic dyes adsorbed on the surface of inorganic semiconductors were shown to sensitise the inorganic material, giving an additional photoresponse in the spectral range associated with the dye (Bube, 1960). Gol'dman and Akimov (1953) sensitised Agl with a variety of dyes, and Nelson (1956) observed that the photoconductivity of CdS in the red and near-infrared was enhanced by sensitisation with cyanine dyes. It was argued that the conduction band of the dye lies above that of the CdS, such that electrons photoexcited in the dye are vacuum level
Figure 9.15 Schematic energy-level diagram for a cyanine dye adsorbed on the surface of the inorganic semiconductor CdS. Electrons are transferred from the dye to the CdS; holes are transferred in the opposite direction. After Merritt (1982).
transferred to the CdS, as illustrated in Fig. 9.15. Tributsch and Calvin (1971) reported that chlorophyll a exhibited much stronger photoeffects when in contact with a semiconductor such as ZnO. Interest was renewed in 1986 when Tang (1986) combined two different molecular semiconductors in a photovoltaic cell and observed a synergistic effect. Tang proposed that the local field at the heterojunction interface acted as a site for the dissociation of excitons diffusing towards it. This approach to enhancing photogeneration has, more recently, been applied to polymer photodiodes. Most studies have focussed on using conjugated polymers in conjunction with more electronegative molecular semiconductors, including polymers, perylenes and fullerenes. Providing the difference in the ionisation potentials and electron affinities of the two materials is large enough, electrons are
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substrate glass quartz
__
active interface
Figure 9.16 Schematic representation of charge separation in an organic heterojunction photovoltaic cell. Excitons photogenerated in either layer which difiiise to the active interface are ionised by transfer of the exciton to the electron acceptor-layer, or of the hole to the hole acceptor layer. Separated charges drift, under the influence of the internal field, to the appropriate contacts.
transferred to the more electronegative semiconductor layer (the acceptor), and holes to the polymer donor layer (Halls et al, 1999). Excitons generated in either layer may be dissociated at the junction, as shown in Fig. 9.16. These devices are similar in structure to the single-layer cells described earlier, except that an electron-accepting material is deposited over the organic layer prior to the evaporation of the top contact. There are two further benefits to using this heterostructure geometry to fabricate polymer photodiodes. First, since electrons are carried to one contact by the electronaccepting material, and holes are transported by the donor-semiconductor to the opposite contact, the paths of oppositely charged carriers are separated and continuous, and recombination should be suppressed. Second, the insertion of an electron-accepting layer distances the excitonic states (which are assumed to be generated mainly in the donor-layer) from the metal electrode, where a number of non-radiative loss processes are known to occur. Although some of these may lead to the ionisation of the excited state by the transfer of an electron into the metal, others simply lead to energy transfer to the metal. The nature of the interaction depends on the distance of the oscillating dipole from the metal (Becker et al, 1997). At longer distances (greater than 200 A in noble metals such as silver), the exciton interacts mainly with the electron gas in the bulk of the metal, and the excitation energy is dissipated through scattering processes (Cnossen et al, 1993). At shorter distances, the interaction of the exciton dipole with the metal surface dominates, through coupling to surface plasmon modes in the metal and van der Waals interactions (Persson and Lang, 1982). It is therefore usually favourable to move the initial photoexcited states away from the metal electron-collecting contact. As an aside, however, Westphalen et al. (2000) found that the photocurrent in a Zn phthalocyanine photovoltaic cell could be increased by a factor of two if silver nanoparticles were
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dispersed in the organic layer. They attributed this to the excitation of plasmons in the metal clusters, which then emit electron directly into the cell. In the following sections, we shall consider a number of specific examples of the heterojunction approach to improving photovoltaic efficiency.
9.7.2 Polymer/fullerene heterojunction photovoltaic cells The exciting discovery by Kroto of the football-shaped fullerene molecule, Cgo, was announced in 1985 (Kroto et al., 1985). The sixty electrons from the pz equivalent orbitals give rise to a delocalised u-system similar to that in conjugated polymers. From optical absorption measurements of thin C6o films the optical gap has been determined to be in the range 1.5-1.8 eV, although this transition is only weakly allowed in the solid state (Guizzetti et al., 1994; Skumanich, 1991). C6o is therefore fairly transparent in the visible up to the UV. Optically detected magnetic resonance (ODMR) (Lane et al., 1992) and time-resolved photoluminescence (Byrne et al, 1993) indicate that optical excitation of C6o creates localised intramolecular excitons. However, in contrast to the situation in most conjugated polymers, electron transport dominates the conduction process in C6o- Mort et al. (1993) have reported mobilitylifetime products of 10~7 and 10~9 c m V for electrons and holes respectively. The high electron affinity of C6o makes it ideal for use as an electron acceptor in conjunction with less electronegative conjugated polymers or molecules. The quenching of luminescence and reduction of luminescence lifetime in conjugated polymer/C6o composites provides strong evidence for the separation of photogenerated species by charge transfer (Morita et al, 1992; Sariciftci et al, 1992; Smilowitz et al, 1993; Zakhidov et al, 1993). Further support for the occurrence of charge transfer comes from studies of photoinduced absorption (Smilowitz et al, 1993; Janssen et al, 1994, 1995) and electron spin resonance (Morita et al, 1992; Smilowitz et al, 1993; Janssen et al, 1995; Lee et al, 1996) Ultrafast photoinduced absorption in poly(3-octylthiophene)/C6o composites (Kraabel et al, 1993) indicates that the charge transfer occurs on a sub-picosecond timescale with a quantum yield approaching unity, and ruled out the possibility that the reduction of luminescence intensity was caused by the opening of other non-radiative decay channels. Steady-state and transient photoconductivity measurements confirm that this luminescence quenching arises from the ionisation of the photogenerated species, leading to the creation of separate charges (Lee et al, 1993b; Morita et al, 1993b, 1992; Tada et al, 1995; Yoshino et al, 1993; Zakhidov et al, 1996). Lee and coworkers (1993) observed an increase in the transient photoconductivity of MEH-PPV
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by two orders of magnitude on doping with a few percent of C,so. The addition of C6o to conjugated polymers has been shown both to enhance the quantum yield of photogeneration and to inhibit the process of recombination. Kraabel el al. (1993) reported that the photoconductivity of poly(3-octylthiophene) (P30T) increases by an order of magnitude on mixing with a few percent of C6o, and the extended lifetime of the photocurrent is consistent with the metastable nature of the charge-transfer process. This sensitising effect of C6o has been exploited in the fabrication of organic photocells (Kohler el al, 1996; Yu et al, 1994b). The photovoltaic effect in polymer/C6o heterojunctions has been investigated with a wide range of conjugated polymers. In work first reported in 1993, Sariciftci and coworkers (1993b) fabricated two-layer cells by vacuum sublimation of Qo onto an MEH-PPV film which had been spin-cast onto ITO-coated glass. The cell was completed with gold contacts. The device had a relatively high fill factor (0.48) and a power conversion efficiency of 0.04% under monochromatic illumination. The photocurrent was some twenty times greater than that measured in a cell with no C6o layer, indicating that the Cfio significantly assists photogeneration in the cell. In a similar study, Yamashita et al (1993) used the molecular semiconductor tetrathiofulvalene (TTF) in conjunction with C6o and observed photoinduced electron transfer at the interface between the materials. Morita et al (1993a) used poly(3-alkylthiophene) (P3 AT) in a double-layer structure with Ceo and measured a photoresponse indicative of photoinduced charge transfer between the P3AT and Qo-
(a)
-
I
I
2 Dark
I"2
3-4
LigM^^.-^
-1.0
-0.5
0.0 Voltage/V
0.5
1.0
2.5
3.0
Energy/eV
Figure 9.17 The loft hand graph (a) shows the current-voltage characteristics of an ITO/PPV/Gso/Al hclcrojunction cell, in the dark and under monochromatic illumination at 490 nm. After Halls el al. (1996). The right hand graph (b) shows the photocurrent action spectrum of a similar device, in addition to the absorption spectra of the two organic materials. After Halls (1997a).
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Halls (1995b; 1996) investigated the photoresponse in PPV/C60 cells, and achieved monochromatic external quantum efficiencies and power conversion efficiencies of up to 9% and 1% respectively, representing a considerable improvement over singlelayer PPV devices. The I-V characteristics of the cell are shown in Fig. 9.17a; the device has a relatively high fill factor of 0.48. The photocurrent action spectrum, shown in Fig. 9.17b, was antibatic with the absorption spectrum of the PPV, indicating that the interface with the Ceo, at the back of the PPV film, is the active site for charge separation. The spectrum was compared with that developed using a model in which only excitons photogenerated in the PPV within a diffusion range of the interface are ionised and contribute to the photocurrent. A diffusion range of approximately 9 nm was found to give the best match to the experimental data. The photocurrent in a heterojunction photovoltaic cell can be enhanced if the amount of light absorbed at the interface between the two semiconductors is increased. The variation of optical field in such a cell with depth depends on the transmission of the various layers, and reflection from the interfaces and the back metal contact. The light waves generated by these multiple reflections have different relative amplitudes and phases, and they interfere to produce an optical standing wave in the cell. Pettersson and co-workers calculated the internal optical electric field distribution resulting from this interference effect in a heterojunction cell fabricated from poly(3-(4'-(l",4",7'-trioxaoctyl)phenyl)thiophene (PEOPT) and C60, using complex indices of refraction determined by spectroscopic ellipsometry (Pettersson et al, 1999; Roman et al., 1998). Figure 9.18 shows the calculated optical field distributions in the devices, plotted as a function of distance from the glass/ITO interface. In the upper panel, in which the thickness of the C6o layer is 35 nm, there is an antinode in the optical field at the polymer/C6o interface, whereas in the lower panel, in which the fullerene layer is thicker (80 nm), there is a node in the optical field. The collected photocurrent is expected to be higher in the upper device; this was found to be consistent with experimental measurements. Pettersson and co-workers applied this information to choose the thickness of the organic layers required to optimise the optical field at the interface and thus maximise the efficiency for a particular excitation wavelength. With PEOPT and C60 layer thicknesses of 40 nm and 31 nm respectively they achieved a peak quantum yield of 21% under monochromatic illumination at 440 nm. The probability of charge transfer in a particular conjugated polymer/fullerene system depends largely on their relative energy levels. The two lowest excited states are at an energy of-1.8 eV (the t2u state) and -3.5 eV (the t2g state) above the highest occupied (valence) level (Tada et al., 1995). The valence level has an ionisation potential of-6.8 eV (Morita et al., 1992). The t2u and t2g levels have electron affinities
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100
200
300
400
Distance from glass|ITO interface/nm
Figure 9.18 Optical field distributions in multi-layer photovoltaic cells calculated by Pettersson et al. (1999), for illumination at 460 run. In the upper diagram the C6o layer has a thickness of 35 nm and there is an antinode in the field at the PEOPT/C60 interface. In the lower diagram the C60 layer is thicker (80 nm) and there is a node in the optical field.
of ~5 eV and -3.3 eV respectively. For excited-electron transfer from the polymer to the fullerene to occur, the LUMO level of the polymer must lie above one of the excited levels of the fullerene. Likewise, for hole transfer to occur from the C6o to the polymer, the HOMO of the fullerene must lie below that of the polymer. These conditions are both satisfied with PPV and MEH-PPV (which both have electron affinities of ~2.7eV), consistent with the observation of charge transfer from these polymers to C^- In contrast, in the case of poly(isothionaphthene), PITN, which has a band gap of-1.0 eV, the polymer LUMO lies below the t2g level of C6o, and electron transfer to the fullerene is energetically unfavourable. Tada et al. (1995) constructed a PITN/Ceo heterojunction cell and failed to observe a photovoltaic effect when the PITN layer was illuminated, consistent with this hypothesis. Instead, photoexcitation of the C60 at 3.5 eV was found to yield a photoresponse, which was attributed to transfer of a photoexcited electron in the t2g level of C60 to the LUMO of the polymer. The exact mechanism behind the photogeneration and charge-transfer process at polymer/Ceo interfaces is under debate. Models for the process range from those in which absorption of light creates excited donor-acceptor complexes (Sariciftci et al., 1993a) to mechanisms in which free electrons diffuse to the polymer/C6o interface
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where they are transferred to the C^ (Janssen et al, 1994), and models in which excitons are dissociated at the polymer/interface (Rice and Gartstein, 1996; Zakhidov etal, 1996).
9.7.3 Phthalocyanine/perylene and polymer/perylene photovoltaic cells Perylene-based compounds are commonly used as pigments for paints and plastics in, for example, the automobile industry. The chemical structures of two perylene derivatives are shown in Fig. 9.2. Unlike many organic dyes, perylenes are highly stable. Most have a relatively high electron affinity, and are known for their photoconductive properties which have been exploited in xerographic applications. Indeed, in most xerographic devices a bilayer photoconductor is used, with the perylene in contact with a hole transport layer. It is considered that charges are generated at the interface between the two organic layers.
T
E o
1 -0.4 -0.2 V(V)
2.0
/ 1.0
/1
0.2 -1.0
A
0.4/
perylene CuPc ln2Q3 glass
-2.0
Figure 9.19 Graph showing the current-voltage measurements of the copper-phthalocyanine/perylene cell fabricated by Tang; the structure of the cell is shown schematically on the right. After Tang (1986).
The important contribution made by Tang (1986) to the development of heterojunction organic PV cells, which was to demonstrate how this bilayer approach to xerography could be applied to organic solar cells, has already been introduced. Tang fabricated a double-layer cell by deposition of successive layers of copper phthalocyanine, a perylene tetracarboxylic derivative and gold, onto an ITO-coated glass substrate. The current-voltage characteristics of the cell are shown in Fig. 9.19. The cell had a high fill factor (0.65), and the photocurrent was found to be largely independent of the applied field. The power conversion efficiency under simulated AM2 illumination was 1%, a record value for an organic solar cell at the time. The
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interface between the two layers was clearly an active site for charge separation, driving the dissociation of excitons which diffused towards it. In a similar study, Karl and coworkers (1994) fabricated double-layer cells using a H2-phthalocyanine as the donor and a perylene derivative as the acceptor. The organic layers were deposited by vacuum sublimation onto ITO-coated glass before deposition of gold electrodes. The devices exhibited high quantum yields (up to 20% under monochromatic illumination) although the power conversion efficiencies were poor, a fact attributed to the high internal resistance of the organic layers and recombination losses. Tsuzuki et al. (1996) found similar properties exhibited by a titanyl phthalocyanine/perylene heterojunction cell. Cells have also been fabricated using a polymer as the donor layer, and a perylene as the acceptor. Halls and Friend (1997b) fabricated heterojunction cells by vacuum sublimation of bis(phenethylimido)perylene over films of PPV which had been spincast onto ITO-coated glass substrates. The cells had back electrodes of aluminium. Cells made in this way had peak external quantum efficiencies and power conversion efficiencies of 6% and 1% respectively under monochromatic illumination, and fill factors of up to 0.6, a high value for an organic photocell. These respectable values confirm the active nature of the polymer/perylene interface for exciton dissociation.
9.7.4
Polymer/polymer photovoltaic cells
In principle there is no reason why a heterojunction cell cannot be fabricated from two different polymer layers, provided that the energy levels of the two materials are sufficiently offset to promote exciton dissociation at their interfaces. However, if such a device is to be made by spin-coating, the challenge is to find materials which are soluble in different solvents so that deposition of the second layer does not dissolve and wash away the first layer. One approach is to use a polymer that is prepared via a thermal conversion route, such as PPV, as the first layer, which can be rendered insoluble by the curing process. Tada and co-workers (1997b, 1999) fabricated a heterojunction by depositing successive layers of poly(p-pyridylvinylene) (PPyV), poly(3-hexylthiophene) (P3HT) and gold onto an aluminium-coated quartz substrate. The PPyV is soluble in formic acid, and insoluble in chloroform, the solvent used for spin-casting the P3HT. The two polymers could therefore be deposited by spincasting without damage to the first layer. They observed an increase in the photocurrent of some three orders of magnitude compared with a cell fabricated without the PPyV donor layers, which they attributed to photoinduced charge transfer between the two layers.
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9.8 Dispersed heterojunction photovoltaic cells 9.8.1 Introduction In the previous section, it was shown that the efficiency of exciton ionisation can be enhanced at the interface in a heterojunction photovoltaic cell. The absorption coefficients of most organic semiconductors are such that a film about 100 run thick is required to absorb most of the light. The exciton diffusion range in these materials is a factor often smaller, so only a small fraction of the photoexcited excitons can reach the heterojunction interface. By mixing the donor and acceptor materials together, it is possible to arrange for interfaces to be created throughout the bulk of the composite layer. All excitons generated in either material are then within a diffusion range of an interface, where exciton dissociation occurs efficiently. Electrons are transferred to the acceptor domains and carried through the device to the electron-collecting contact; holes are pulled into the donor material and traverse the organic layer in the opposite direction. A number of different approaches have been used to achieve this strategy, and these are now dealt with in detail.
9.8.2 C60-Sensitised polymer photodiodes One of the most studied donor-acceptor blend systems for photoresponsive applications is that of polymers sensitised with Ceo- The DC and transient photoconductivity of such composites has been investigated extensively, although there are fewer reports of their use in photovoltaic cells. Yu et al. (1994b) fabricated photovoltaic cells using a 10:1 by weight mixture of MEH-PPV with C6o- The materials were mixed in solution and spin-coated onto ITO-coated substrates in the usual way, and calcium top electrodes were deposited by thermal evaporation. An open-circuit voltage of ~0.8 V and a photosensitivity of 5.5 mA W-1 was reported under illumination at 500 nm, an order of magnitude higher than the photosensitivity of a pure MEH-PPV photodiode. Kohler (1996) sensitised a platinum polyene with 7 wt.% Cw, and measured a monochromatic short-circuit quantum yield of 1-2% in photovoltaic cells based on this composite, an increase by a factor of 100 compared with cells fabricated from the pure polymer. The maximum loading possible with C6o is limited by its relatively low solubility in organic solvents. Yu and co-workers (1995) developed a series of Ceo derivatives with enhanced solubilities, which enabled homogeneous blends to be made consisting of more than 80% fullerene molecules by weight. Using a 1:4 by weight blend of
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MEH-PPV with a methano-functionalised fullerene derivative (giving approximately one fullerene molecule for every polymer repeat unit), and with contacts of ITO and Ca, they achieved a quantum efficiency of 29% and a power conversion efficiency of 2.9% under monochromatic illumination at an intensity of 20 mW cm"2. This was a substantial improvement over earlier results based on C6o composites. Yu et al. (1998) used the same functionalised fullerene in a blend with P30T in a photovoltaic cell and obtained a quantum yield of 45% under a 10 V reverse bias. By making a linear array of 102 of these photodiode elements and scanning the array using different coloured filters, Yu demonstrated that such an array could be used as a full-colour image sensor.
9.8.3 Dye-sensitisedphotodiodes The poor solubility of most electronically interesting dyes and pigments makes their use as sensitisers in mixtures with other pigments or conjugated polymers difficult. Hiramoto (1992b) demonstrated that one solution to this problem is to co-sublime two dyes from different thermal sources. This process enables the composition of the mixture to be controlled as the composite film is deposited. They made a three-layer photovoltaic cell with a sandwiched interlayer of co-deposited p-type phthalocyanine with the H-type perylene N-methyl-3,4,9,10-perylene-tetracarboxyldiimide (Me-PTC). This cell had a white-light power conversion efficiency of 0.63%, whereas a simple double-layer cell made with the same materials had an efficiency of only 0.29%. They attributed this increase in efficiency to the presence of a high number of PC/Me-PTC molecular contacts within the interlayer, which serve as active sites for effective charge-carrier photogeneration. Dittmer et al. (1999) fabricated photovoltaic cells using a mixture of conjugated polymers and perylene diimide derivatives. However, the low solubility of commonly used perylene diimides such as perylene bis(phenethylimide) (PPEI) limits the perylene concentration in the blends. This problem was overcome by using a readily soluble perylene diimide derivative with ethylpropyl side groups (Dittmer et al., 2000). They observed high photocurrent yield (up to 11% under monochromatic illumination), and highly efficient photoluminescence quenching in the composite films, consistent with charge-transfer induced exciton ionisation. Both P3HT and MEH-PPV were used as hosts for the perylene derivatives. Atomic force microscopy revealed that the perylene dye forms needle-like micron-sized crystals in the polymer film. Such crystals are expected to have higher electron mobilities than amorphous composites and should allow much higher exciton diffusion ranges as a result of the
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higher degree of order in the crystals. In fact, studies of polycrystalline films of related perylene diimides have demonstrated exciton diffusion ranges of up to 2.5 jum (Gregg et al., 1997). Dittmer et al. consider that virtually all the excitons created in the perylene crystals can therefore diffuse to an interface with the conjugated polymer, where they are split up into separate charges and subsequently transported to the respective electrodes. An alternative scheme was developed by O'Regan and Gratzel (1991), who photosensitised sintered rutile electrodes with a ruthenium dye, using a liquid electrolyte to complete the circuit. Photoexcitation of the dye activated transfer of an electron to the rutile and a hole to the electrolyte. The high interfacial area, and continuous conducting paths provided by the Ti02 electrode and electrolyte, enabled cells of a high (~7%) conversion efficiency to be realised. Similar cells have been fabricated using nanostructured colloidal Ti02 electrodes (Kay and Gratzel, 1993) and Sn02 electrodes (Bedja et al, 1994) sensitised with porphyrin dyes. This class of solar cells will be dealt with in detail in Volume 3. Organic/inorganic composites have also been exploited by Greenham et al. (1996), who fabricated photovoltaic cells from a mixture of cadmium selenide nanocrystals and the polymer MEH-PPV. They observed an enhancement in the photocurrent yield attributed to photoinduced electron transfer from the MEH-PPV to the nanocrystals.
9.8.4 Polymer-blendphotodiodes By mixing together two polymers, chosen so that their relative energy levels make electron transfer from one material to the other favourable, a polymer composite film can be produced in which active interfaces are distributed throughout the material's bulk. Many of today's technologically important materials are polymer blends, tailored to yield novel mechanical properties, developed along the same lines as metallic alloys. The miscibility of polymers has therefore been the subject of detailed experimental and theoretical research (Krausch, 1995). Their low entropy of mixing prevents perfect blending on a molecular scale, and they tend to phase-separate into discrete domains (Jones, 1995). In equilibrium, the lowest energy state is generally attained when the two components separate to form two bulk domains. However, when a thin film is prepared from a blend of polymers in solution by spin-coating, the solvent evaporates quickly, and an equilibrium state is rarely reached. Instead, phase separation is observed to occur with domain lengths ranging from a few nanometres to several microns.
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The manipulation and control of supramolecular architecture through the process of self-organisation is likely to herald an exciting range of composite materials, with novel electronic, photonic and physical properties. Self-organisation in polymer blends has been exploited in many recent applications to provide complicated yet controllable structures on a sub-micron scale. Berggren et al. (1994) fabricated lightemitting diodes from blends of polythiophene based polymers with different emission and charge-transport characteristics. The resulting columnar phase separation essentially formed a large number of parallel-connected LEDs, each with different voltage-luminance characteristics. The colour of the LED emission could therefore be controlled by tuning the applied voltage. Polyaniline protonated with camphor sulphuric acid (PANI-CSA) has been shown by Yang et al. (1995) to form a conducting network in blends with insulating host polymers. Such blends exhibit electrical conductivities in excess of 1 S cm"1, and have been used to form hole-injecting electrodes for polymer LEDs, in which the high surface area, and enhanced local fields caused by the fractal-like morphology, give rise to a lower turn-on voltage and more efficient operation. Yang and Heeger (1994) have also used a conducting PANI-CSA network as a 'grid', embedded in a conjugated polymer layer between coplanar electrodes. This yields a novel polymer transistor architecture, which they term a polymer grid triode, and which is analogous in operation to a vacuum valve triode. The first reports of organic photodiodes based on a blend of two different polymers were published independently by Yu et al. (1995) and Halls et al. (1995a) in the same year. Both studies used the same phenylenevinylene-based materials with solubilising side chains, which allowed mixtures of the two polymers to be made in solution. One of the polymers, CN-PPV (see Figure 9.2) had cyano-substituents on the vinylic carbon atoms. The addition of these groups increases the ionisation potential and electron affinity by approximately 0.5 eV relative to the other polymer, MEH-PPV, which accounts for its improved electron-accepting properties. Blends of these two polymers demonstrate quenched luminescence, indicating that exciton dissociation, driven by electron transfer from MEH-PPV to CN-PPV, occurs in the blend. Halls and co-workers (1995a) fabricated a photovoltaic cell from a blend of equal masses of CN-PPV and MEH-PPV with contacts of aluminium and ITO. The thin (-100 nm) composite film was deposited by spin-coating from a solution of the two materials in chloroform. Transmission electron microscopy (TEM) of the blend revealed that the two polymers form an interpenetrating network with a characteristic domain size of 10 nm. A schematic of the cell, and a typical TEM image, is shown in Fig. 9.20. The cells had a peak monochromatic external quantum efficiency of 6%,
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Figure 9.20 Schematic diagram (a) showing the structure of the polymer blend photocell. The magnified region (b) represents the separation of an exciton (at an MEH-PPV/CN-PPV interface) and subsequent transport of photoexcited charges in the cell. The schematic (c) shows a simple interpretation of the energy levels in the device, illustrating the dissociation of a photogenerated exciton on the MEH-PPV by electron transfer to the CN-PPV LUMO. The image (d) shows a transmission electron microscope image of a spincast film of the MEH-PPV:CN-PPV blend (Halls et al. 1995a). The dark regions correspond to an MEHPPV-rich phase, which has been stained with iron chloride.
and a photocurrent action spectrum that followed the absorption spectrum. Peak monochromatic power conversion efficiencies and fill factors of 1% and 0.38 respectively were obtained. The composite cell was found to be three orders of magnitude more efficient than a cell made from CN-PPV alone, and two orders of magnitude more efficient than a pure MEH-PPV cell. The action spectra and currentvoltage characteristics of typical MEH-PPV:CN-PPV cells are shown in Fig. 9.21. Yu and co-workers (1995) reported similar results using the same materials, although with calcium rather than aluminium electrodes. They measured peak external quantum efficiencies of 5% and power conversion efficiencies of 0.9%. The quantum yield was found to increase dramatically to 80% with reverse bias at -10 V, a phenomenon also reported by Halls. Tada et al. (1997c) fabricated polymer composite photodiodes using P3HT as the donor material and CN-PPV as the acceptor and observed an increase in the charge collection efficiency compared with devices made with the pure polymers.
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Figure 9.21 The left graph shows the photocurrent action spectrum of an ITO/polymer/Al diode made from a 1:1 MEH-PPV:CN-PPV blend (800 A). Shown for the comparison arc the action spectra of devices made from pure CN-PPV (-1000 A) and pure MEH-PPV (700 A). The quantum yields of the two homopolymer devices have each been scaled by a factor of 20. Also shown is the proportion of light absorbed for two passes though the blend film, calculated as 1-transmission (dotted line). The absorption spectra of the two homopolymers are similar to that of the blend. The right hand graph shows the currentvoltage characteristics of an MEH-PPV:CN-PPV blend cell. After Halls (1997a).
The high photocurrent yield in these devices is considered to arise from exciton dissociation at the dispersed interfaces between each of the domains, followed by the transport of electrons by die CN-PPV to the electron-collecting aluminium contact, and of holes by the MEH-PPV to the ITO. This charge drift is driven by the internal field set up by the difference in work functions of the electrodes. It is desirable for the polymer-blend network to be bicontinuous so that both electrons and holes have continuous paths to their respective electrodes. However, there are likely to be cul de sacs in the network in which charges are trapped as they are pulled through the device by the internal field, as illustrated in Fig. 9.22. The enhancement in the yield of collected charges under applied biases (of either polarity) is probably a result of the field assisting the removal of these trapped charges, by allowing them to tunnel to a new path in the network. In addition to this process, the increased internal field increases the mobility of the drifting carriers, sweeping charges out of the device more rapidly and reducing the probability of a recombination event occurring. While the probability of charge-transfer at an interface in a binary blend is determined by the relative energy levels of the constituent polymers (Halls et al, 1999), the morphology of the polymer composite plays a critical role in determining the efficiency of a polymer-blend photodiode. The exciton diffusion range in PPV has been established by Halls to be around 10 nm (Halls et al, 1996); it is reasonable to
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MEH-PPV CN-PPV ITO
Schematic of cell cross-section
ionisation ^ tunnelling
«*.'
O
O
CN-PPV
energy
HOMO and LUMO energy levels along the electron and hole transport path
-o~ HOMO
Figure 9.22 Schematic showing how an electron, generated from the ionisation of an exciton at an MEHPPV/CN-PPV interface, drifting under the influence of the internal electric field, may reach a dead end in a CN-PPV domain. The charge must tunnel through the MEH-PPV 'barrier' to reach a new CN-PPV domain through which it can drift to the aluminium electrode where it is collected. In the scenario illustrated above, the hole is able to drift through the MEH-PPV to the ITO contact, although holes may also be trapped in cul de sacs in the MEH-PPV network. The lower diagram shows the HOMO (valence) and LUMO (conduction) levels applicable to the charges as they pass through the device. As the internal electric field is increased by the application of an external reverse bias, tunnelling through the MEH-PPV barrier is activated, and the trapped electron can be extracted and collected.
assume that the diffusion range in most phenylenevinylene-based polymers is of the same order of magnitude. For the majority of photogenerated excitons to reach an active interface before decaying via an alternative route, the length-scale of the phase separation must be less than or equal to this diffusion range. A relatively fine-scale mixing is therefore favoured for efficient photogeneration of charges in a polymer composite photovoltaic cell. Halls and co-workers (2000) have demonstrated that the morphology of a polymer blend, and hence the properties of a photodiode using the blend film as an active layer, can be manipulated by control of the rate of solvent evaporation during spin coating. It is anticipated that considerable improvements in photovoltaic cell efficiency will be made in the future through control of the morphology through a range of self-assembly and self-organisation techniques.
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9.9 Diffuse interface photovoltaic cells One of the problems associated with the polymer-blend cells is that it is difficult to control the way the blend phase separates at the two surface of the bulk film. The total free energy of a particular binary polymer blend is minimised if the component with the smaller intermolecular cohesive forces, and therefore lower surface energy, is enriched at the surfaces. Competing with this is the gain in entropy associated with the mixing of the two components. As the difference in surface energy between the two components increases, more distinct layers form at the surfaces. Strongly anisotropic domain structures are therefore expected at the interface of the blend with the two contacts. The two surfaces of a spin-cast blend film (the free top-surface and the surface in contact with the substrate) are also expected to have different morphologies and compositions, as the substrate may have a strong interaction with one of the blend's components. It is desirable if the donor (hole-accepting) polymer is connected to the hole-collecting (ITO) contact, and if the acceptor polymer is adjacent to the electron-collecting metal top contact. If the opposite arrangement occurs then the hole-accepting polymer would act as a barrier to electrons moving to the electron collecting contact, and the acceptor polymer would act a barrier at the hole-collecting contact. This degree of control is difficult to achieve through direct spin-coating of a polymer mixture. Indeed, it is believed that in the case of the MEH-PPV:CN-PPV blend devices the CN-PPV component is enriched at the interface with the ITOcoated glass substrate. This has been suggested by photocurrent measurements and microscopy investigations on relatively thick (300 nm) blend devices in which the solvent takes longer to evaporate, particularly deeper in the film (Halls, 1997a). This observation is consistent with the expectation that the large dipole moments of the cyano-groups will interact effectively with the ionic substrate, lowering the surface energy of the CN-PPV. The CN-PPV acts as a barrier through which holes must travel to reach the ITO. A solution to this problem has been developed by Granstrom et al. (1998), who made an organic cell using a lamination process. They used a phenyl-octyl-substituted polythiophene (POPT) as the hole acceptor and MEH-CN-PPV, a cyano-substituted phenylene-vinylene polymer, similar in structure to CN-PPV, as the electronaccepting material. The cell was fabricated by depositing a POPT-rich film on ITOcoated glass, and an MEH-CN-PPV-rich film on an aluminium-coated glass substrate, and then laminating the twofilmstogether during a controlled annealing process, as shown in Fig. 9.23. Atomic force-microscopy revealed interpenetration between the two layers on a 20-30 nm length scale, similar to the in-plane phase separation in the polymer blends discussed in the previous section. Cells of this type had a peak
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429
Devices
donor
I
pressure F-3^^ ^ y ^ ^
heat
3. 3-
glass
•5 UJ
NWi&SPB If J
f
f
f
g J
J
glass
400
500
600
700
800
Wavelength/nm
Figure 9.23 Schematic representation of the technique used to fabricate a diffuse-interface polymer photovoltaic cell. The graph shows the photocurrent action spectrum of a laminated photovoltaic cell; the photocurrent closely follows the absorption spectrum, shown with a dotted line.
external quantum efficiency of 29%, and a power conversion efficiency of 2% under a simulated solar spectrum; the photocurrent action spectrum of the cell is shown in Fig. 9.23. The authors attributed the high efficiency of these devices to the control the lamination process allows over ensuring simultaneously that the acceptor material has a proper contact with the low-work function contact and the donor material with the high-work function material. To date these cells have the highest reported power conversion efficiencies for polymer PV cells.
9.10 Towards future applications Although the efficiencies of molecular and polymer photovoltaic cells are, as yet, far from rivalling those of inorganic devices, there are a number of reasons why these organic devices are increasingly attractive for technological applications. The high processing costs associated with conventional inorganic solar cells rule out the use of solar energy in many applications where a high power conversion efficiency is not a priority, such as in toys or other high turn-over, low-tech applications. We can expect the efficiency of organic solar cells to increase over the next few years, and yet even at this relatively early stage in their development organic cells may be suitable for these applications. The organic materials required for solar cells can be manufactured at low cost in large quantities, and the purity requirements are considerably more relaxed than in the inorganic semiconductor industry. The fabrication techniques themselves are relatively simple, and can be readily scaled up for large-area, high-
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through-put production. In addition, other thin-film coating techniques commonly used in the plastic film industry, such as roll-to-roll coating, may be suitable for the manufacture of organic solar cells. Organic solar cells possess a number of distinct additional advantages, which may open up new applications where inorganic solar cells have, up to now, been unsuitable. Flexible solar cells can be fabricated using a plastic sheet as a substrate, and so solar cells can be molded to fit onto curved surfaces. The same technique has been applied successfully to polymer LEDs (Gustafsson et al., 1992). A further development in substrate technology is the use of a conducting polymer as the hole accepting contact, in place of ITO. The polymer poly(3,4-ethylenedioxythiophene) (PEDOT), when doped with poly(styrene sulphonic acid) (PSS), becomes highly conducting, and yet remains transparent in thin-film form (Groenendaal et al., 2000). Arias and co-workers (1999) have demonstrated that this polymer system can be used as the hole-collecting contact in polymer photovoltaic cells. Its work function is similar to that of ITO, and, in the context of organic electronic devices, has been used as an anode in polymeric LEDs (Kim et al., 1998). It is used extensively as an antistatic coating in the photographic film industry, where it is deposited from waterbased solution by roll-to-roll coating. By using a conducting polymer such as PEDOT/PSS as an electrode it may be possible to further reduce the fabrication costs of organic photovoltaic cells. Many of the pigments and polymers used to fabricate organic photocells are, not surprisingly, brightly coloured, and their absorption spectra, and therefore colour, can be tuned through tailoring of their chemical structures. This aesthetic aspect is often an important consideration, for example in modular PV cladding panels for architectural applications. The tailoring of molecular semiconductors to absorb in particular wavelength bands also opens up the possibility of fabricating dual- or triple-junction back-to-back cells, in which light not absorbed by the first cell is absorbed by the second cell, as in the case a-Si:H cells and tandem III—V cells. This approach requires the metal contact of the front cell to be semi-transparent so that unabsorbed light can be passed through to subsequent cells. This scheme may allow for broadband light detectors and photovoltaic cells to be fabricated. Despite these positive remarks, there are a number of issues which must be addressed. Organic electronic devices have a not entirely ill-deserved reputation for poor operational stability. Many organic photoconductors are very sensitive to oxygen, as has been discussed earlier, and although in some cases oxygen can increase the photoconductivity of a material, it can also lead to degradation of the photoconductor and contacts by activating various photoelectrochemical reactions. This sensitivity to both air and water vapour was found to be responsible for the poor
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stability of molecular and polymer-based emissive displays, and eliminating these species has been the key to the development of commercial devices with extended shelf-lives, and working lives exceeding 10,000 hours. This significant improvement has been achieved through the use of organic materials of improved purity, and the development of various encapsulation techniques to protect the active materials from interaction with the atmosphere. These advances in organic display design can be readily applied to organic solar cell design. In many applications the dependence of the photocurrent on light intensity is an important parameter to assess, particularly if the cell is to be used as an accurate light detector or a solar cell capable of operating under intense illumination. The photocurrent in many organic cells follows a sublinear intensity dependence. Under high intensity illumination the probability of recombination of carriers with oppositely charged mobile or trapped species increases, and the quantum efficiency consequently decreases. At worst, the intensity dependence of the collected photocurrent will approach an L05 relationship in the case of a bimolecular recombination limited photocurrent. Heterojunction-type organic photovoltaic cells tend to have a more linear illumination dependence as the efficient spatial separation of opposite charges at the interface reduces the risk of recombination. Halls et at. (1996), for example, found the photocurrent in a PPV/C<5o cell to vary linearly with the incident photon flux over seven decades of intensity from lO^6 to 10 mW cm"2. Finally, and arguably most importantly, the efficiency of organic solar cells must be enhanced. Many research groups around the world are working to achieve this, through a variety of techniques. Most conjugated polymers so far investigated as photovoltaic materials have band gaps of around 2 eV, and so much of the energy from the Sun is wasted. As with all solar cells, there is an optimum band gap for a particular illumination spectrum, and for AM 1.5 illumination this is 1.35 eV. There is therefore a drive to synthesise a greater range of dyes and polymers with lower band gaps. As important as the choice of materials is the structure of the device, as the development of the field of organic photovoltaics has revealed. For example, it has already been emphasised how crucial the morphology of the polymer blend is in determining the properties of a distributed heterojunction interface. There is scope for investigating many new techniques, such as self-assembly, to achieve the required nanostructures for optimal charge separation and charge collection.
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9.11 Conclusions In this chapter we have traced the progress in the development of organic photovoltaic cells, from their conception through the various strategies which have been applied to increase their performance, to the current state-of-the-art cells approaching commercialisation. It may be helpful, at the conclusion of this chapter, to review this progress and briefly compare the main types of organic device. The most efficient photovoltaic cells contain interfaces between materials with different ionisation potentials and electron affinities, either in a simple planar configuration in a double layer sandwich structure, or in a more complicated structure in which the active interfacial area is increased, by, for example, a blending or lamination technique. Table 9.1 gives the current state-of-the-art specifications of devices made using these techniques. The properties of simple single-layer devices are compared with those of double-layer heterojunction cells and distributed interface cells. Heterojunction photovoltaic cells generally have the highest fill factors, and values in excess of 0.6 have been reported External power conversion efficiencies up to ~2% have been obtained under simulated AMI.5 illumination in cells made using a lamination technique. Open-cicuit voltages in excess of 1.5 eV have been reported, although using a low-band-gap materials to maximise solar absorption would limit this. By necessity a number of omissions and simplifications have been made to highlight the important stages in the development of organic photovoltaic cells. We should therefore consider some other recent developments in thefieldof organic solar cells which stray slightly from the continuous path of development described above. In a very recent publication, Schon and co-workers (2000) fabricated efficient photovoltaic cells from pentacene which they doped with iodine or bromine. The dopant was found to increase the photocurrent yield by five orders of magnitude, and the cell had a power conversion efficiency of 2.4% under simulated solar illumination and fill factor of 0.47. The efficient photogeneration process was attributed to the diffusion of photoexcited excitons in the pentacene to dopant sites where an excited pentacene-iodine-pentacene complex is formed, in which the negative charge is partly transferred to the dopant molecule. The built-in field completes the separation process, allowing the charges to move to the contacts. As the efficiency and durability of organic photovoltaic cells increases over the next few years, it is probable they will find their way into a number of commercial applications. The transfer from laboratory to production line will certainly be accelerated as the technology of thin-film polymer and molecular semiconductors for display applications becomes established in the future. The cells described in this chapter are still, compared to established technologies, far from being optimised, and
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in future years it is almost inevitable that the properties of organic photovoltaic cells will improve significantly. Through the synthesis of new materials, and by the exploitation of the complex self-organisation properties of organic molecules it will become possible to fabricate bulk nanostmctures better-tailored for efficient charge separation and charge transport. There are certainly obstacles which will have to be surmounted, but there is, undoubtedly, an exciting future in plastics. Table 9.1 Comparison of the properties of organic photovoltaic cell technologies Single-layer ceil
Double-layer cell
Dispersed heterojunction cell
Description
Single-layer of organic semiconductor between co-planar electrodes.
Two-org.uiic semiconductor layers in contact, sandwiched between co-planar electrodes.
MKlurc of organic semiconductors between co-planar electrodes.
F.xnmplcs
PPV, anthracene
PPV/C60
CN-PPV/MEH-PPV
Phthalocyanine/perylene Intensity dependence
Usually sublinear dependence of current on light due to recombination and trapping.
Linear dependence up to high intensities due to reduced recombination rate.
Generally linear, although some sub-linearity is observed at very high intensities
Quantum efficiency (monochromatic)
Typically 0.1% with some exceptions.
Up to 25%. (Petterson efaZ. 1999)
Up to 28%. (Yu etal. 1995)
Open-circuit voltage
Typically 0.5-2V, depending on choice of contacts
Kill factor
Generally low (<0.3) due to strong field-dependence of photocurrent
High (-0.6) due to improved 1—V characteristics.
Generally low (~0.3) due to strong field-dependence of photocurrent
Advantages
Simple to fabricate
May be possible to fabricate using roll-toroll coating. Separation of carriers at interface reduces recombination.
Simple to fabricate. Efficient dissociation of neutral excited states.
Disadvantages
Low efficiency
Difficult to fabricate using spin-coating if layers dissolve in the same solvent. Efficiency limited by diffusion range of excitons to the interface.
Recombination of separated carriers due to proximity of e and h conducting channels, trapping in dead-ends in the network
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Halls J. J. M., Pichler K., Friend R. H., Moratti S. C. and Holmes A. B. (1995b), 'Exciton dissociation at a poly(p-phenylenevinylene)/C6o heterojunction', Synth. Metals 77, 277-280. Halls J. J. M , Pichler K., Friend R. H., Moratti S. C. and Holmes A. B. (1996), 'Exciton diffusion and dissociation in a poly(p-phenylenevinylene)/C6o heterojunction photovoltaic cell', Appl. Phys. Lett. 68, 3120-3122. Halls J. J. M. (1997a). Photoconductive Properties of Conjugated Polymers, Thesis, University of Cambridge, Cambridge. Halls J. J. M. and Friend R. H. (1997b), 'The photovoltaic effect in a poly(/?phenylenevinylene)/perylene heterojunction', Synth. Metals 85, 1307-1308. Halls J. J. M., Cornil J., dos Santos D. A., Silbey R., Hwang D.-H., Holmes A. B., Bredas J. L. and Friend R. H. (1999), 'Charge- and energy-transfer processes at polymer/polymer interfaces: a joint experimental and theoretical study', Phys. Rev. £ 6 0 , 5721-5727. Halls J. J. M , Arias A. C , MacKenzie J. D., Wu W., Inbasekaran M., Woo E. P. and Friend R. H. (2000), 'Photodiodes based on polyfluorene composites: influence of morphology', Adv. Mat. 12, 498-502. Harrison M. G., Gruner J. and Spencer G. C. W. (1997), 'Analysis of the photocurrent action spectra of MEH-PPV polymer photodiodes', Phys. Rev. B 55, 7831-7849. Harrison N. T., Hayes G. R, Philips R T. and Friend R. H. (1996), 'Singlet intrachain exciton generation and decay in poly(p-phenylenevinylene)', Phys. Rev. Lett. 77, 1881-1884. Harrison S. E. (1969), 'Origin of photocarriers in phthalocyanines', J. Chem. Phys. 50, 4739-4742. Hayes G. R., Samuel I. D. W. and Phillips R. T. (1995), 'Exciton dynamics in electroluminescent polymers studied by femtosecond time-resolved photoluminescence spectroscopy', Phys. Rev.—Condensed Matter 52, 11569-11572. Hiramoto M., Fukusumi H. and Yokoyama M. (1992a), 'Organic solar cell based on multistep charge separation system', Appl. Phys. Lett. 61, 2580-2582. Hiramoto M., Fujiwara H. and Yokoyama M. (1992b), 'P-I-N like behaviour in 3layered organic solar cells having a co-deposited interlayer of pigments', J. Appl. Phys. 72, 3781-3787. Hiramoto M., Imahigashi T. and Yokoyama M. (1994), 'Photocurrent multiplication in organic pigment films', Appl. Phys. Lett. 64, 187-189. Hwang D.-H., Kim S. T., Shim H. K., Holmes A. B., Moratti S. C. and Friend R. H. (1996), 'Green light-emitting diodes from poly(2-dimethyloctylsilyl-l,4,phenylenevinylene)', Chem. Commun. 19, 2241-2242.
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CHAPTER 10
QUANTUM WELL SOLAR CELLS JENNY NELSON Blacken Laboratory, ICSTM, London SW7 2BZ, UK jenny, nelson @ ic. ac. uk
No steam or gas ever drives anything until it is confined. No Niagara is ever turned into light and power until it is tunneled. Harry Emerson Fosdick.
10.1 Introduction The quantum well solar cell (QWSC) was proposed by Barnham and Duggan (1990) as a new type of multiple band-gap, single-junction solar cell. The principle is similar to that of the monolithic tandem cell: several band gaps are used to absorb different spectral ranges efficiently. However, rather than using two junctions made from different semiconductors, the QWSC uses ultra-thin layers of different materials in a monolithic, two-terminal arrangement. The technology of quantum wells (QWs) is borrowed from the optoelectronics industry. The 1980s and 90s have seen developments in the use of low-dimensional semiconductor structures in optical modulators, photodetectors, lasers and other devices (Weisbuch and Vinter, 1991; Zory, 1993). These applications exploit the special optical and electronic properties available with highly confined carrier populations. Before 1989, low-dimensional systems had been considered in connection with solar cells only in the context of improved carrier transport through the neutral regions. In the QWSC, QWs are used in the active region of the solar cell to enhance solar photon absorption and boost the photocurrent. The QWs can be considered approximately as an incremental current source in parallel with a conventional homojunction solar cell. The usual geometry is to insert an array of QWs called a multiple QW (MQW) into the depletion region of a p-n or p-i-n junction solar cell. QWs absorb more solar photons and so enhance the photocurrent. However, because of their lower band gap, QWs also enhance the dark recombination current that opposes the photocurrent. If
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the increase in photocurrent exceeds the increase in dark current under operating conditions, then the power conversion efficiency of the cell will be increased. The possibility of a higher limiting efficiency than is possible with a simple singlejunction cell is the main reason for interest in the QWSC, but QW structures have also been considered as a means of improving the performance of practical solar cells. For instance, the ability to control the band gap through QW width is useful in various applications, and the response of QW cells to increases in temperature makes them attractive for solar concentration. The properties of QWSCs have been studied, theoretically and experimentally, by a number of research groups (Corkish and Green, 1993; Araujo et al, 1994; Ragay et al, 1994; Freundlich et al, 1994; Renaud et al, 1994; Anderson, 1995; Nelson, 1995; Kitatani et al, 1995; Barnham et al, 1997). However, the technology is still at an early stage of development and no commercialscale devices have yet been produced. This chapter covers the following areas: QW technology and materials issues; the physics of QWs and how they differ from bulk materials in the processes important for solar energy conversion; experimental results showing how these properties affect the performance of the solar cell; the question of the limits to efficiency; and practical applications of QWSCs.
10.2 Device design, materials and technology 10.2.1 Device design The typical QWSC is a p-i-n junction containing a number of QWs in the intrinsic (i) region, as shown schematically in Fig. 10.1. The i region acts as a spacer layer to extend the field-bearing region. The rationale is that QWs should be placed in this region where charge separation and collection is most efficient. The QWs are thin layers of a second, narrower band-gap semiconductor between barrier layers of the host material. III-V semiconductors are normally used for both QW and host material. Typically the QWs are 60-150 A wide, separated by barriers of 50 A or more. Some 50 QWs can be placed in an /-region 0.5 to 1 /um thick. In practice the /-layer thickness is limited by the background level of charged impurities, since these can cause the electric field to fall to zero within the /-layer and render the remaining, neutral part of the junction useless (Zachariou et al, 1996; Barnham et al, 1991).
Quantum Well Solar Cells
P
nrru:
U"
Figure 10.1 Schematic diagram of energy band vs. distance for a p-i-n quantum well solar cell at forward bias V. QWs are placed in the undoped /-layer, where the electric field helps to separate photogenerated electron-hole pairs. Under illumination, the charges arc separated by the electric field and the electron and hole quasi-Fermi levels are split by qV, as shown.
The remaining parts of the cell—the p-Iayer, n-layer, substrate, window layers, contacts and optical coatings—are modelled on conventional IH-V solar cell designs. The emitter (top layer) may be somewhat narrower in order to admit as much light as possible to the active /-region. Otherwise, the same design considerations apply: choice of polarity (p-n or n-p)\ techniques to enhance minority carrier collection such as surface passivation, window layers and graded emitters; choice of materials for dopant, AR coat and substrate. The goal is to use the incremental photocurrent provided by the QWs to enhance the efficiency of a well-designed homojunction cell.
10.2.2 Materials QWSCs have been studied in several III—V materials combinations: AlGaAs/GaAs, GaAs/InGaAs, InP/InGaAs, InGaP/GaAsJnP/InAsP and InGaAsP/InGaAs. The AlGaAs/GaAs system has been chosen most often as a test system to investigate the basic physical principles of the QWSC, because this combination has been widely used in optoelectronics and is well understood. AlGaAs/GaAs QW solar cells are not in themselves interesting as high-efficiency solar cells, since the band gap of AlGaAs is higher than is optimal for solar energy conversion, and performance can always be improved simply by reducing the amount of Al. However, as well as being good model systems they do have potential as the wide-band-gap component of a tandem system. The really interesting systems are gallium arsenide (GaAs, Ug = 1.42 eV) or indium phosphide (InP, Ug = 1.34 eV) p-n cells to which QWs have been added. Both materials have band gaps close to the optimum for solar energy conversion. GaAs is currently the preferred material for extraterrestrial PV systems. Its materials technology is well developed and material of adequate quality is routinely produced
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for use in high-efficiency solar cells. InP is less reliable in its material quality but is attractive for applications in space because of its excellent radiation hardness. Both materials are interesting for concentrator systems because of the superior performance of III-Vs over silicon at high temperatures. The obvious material for QWs in GaAs is the alloy In/ja^As, where 0 < x < 1. GaAs/In/jai-jAs structures are widely used in optoelectronics in IR photodetectors and lasers. However, they tend to suffer from strain-induced dislocations arising from the difference in the lattice constants of GaAs and In^Gai^As, which increases with increasing indium fraction x. These dislocations degrade the device quality and impose a limit on the number and depth of QWs that may be added to a p-i-n structure. That means a limit on the extra photocurrent available from the QWs. Strategies to overcome this include light-trapping techniques to increase the optical depth of the QWs, and strain-balanced structures. For InP, the best QW material is Ino.53Gao.47As. At this composition In^Gai^As is lattice-matched to InP, eliminating strain problems. Since Ino.53Gao.47As has a much narrower band gap than InP, the QWs are deep, extending absorption out to around 1600 nm, so they offer significant photocurrent enhancements by utilising IR solar radiation. However, there have been problems with material quality, of both the InP base material and the QWs themselves (Zachariou et al., 1996). Attempts with strained InP/IntAsi_.tP QW structures have not yet been successful (Freundlich et al., 1994). For thermophotovoltaics, where a lower band gap is needed because of the lower source temperature, InGaAsP/In/jai^As QW cells have been studied (see Section 10.6), and InGaAsSb/GaSb is likely to be a promising system.
10.2.3 Fabrication technology III-V QW structures are grown by epitaxial techniques such as molecular beam epitaxy (MBE) and metal organic vapour phase epitaxy (MOVPE). These methods are also used to grow compound heterostructures for windowed and tandem solar cells. Layers of controlled composition are deposited, one atomic layer at a time, on a monocrystalline substrate of the same or another lattice-matched III-V material. The substrate may be several hundred microns thick, greatly increasing the materials requirement over that needed for the active layers of the solar cell. This, and the relative scarcity of the component elements, makes III-V solar cells expensive. Costs may be reduced slightly by growing on an alternative substrate such as. germanium (Meyer and Metzger, 1997). Growth on polycrystalline substrates offers substantially
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reduced costs, and this is an active area of research (Venkatasubramanian et a/., 1994). Although epitaxial growth is currently expensive, costs are likely to fall as QW devices begin to be mass produced for the optoelectronics market. This is expected to bring down the cost of III-V solar cells, and any epitaxial method used to produce III-V homojunction cells on a large scale can be used for QWSCs at very little extra cost. The finishing technology—AR coating, contacting, and encapsulation—is identical to that used for conventional III-V solar cells. In short, QWs would add very little to the cost of a GaAs solar cell.
10.2.4 Other materials The possibilities of using QW structures for photoconversion in materials other than III-V semiconductors have been, to date, largely unexplored, but II-IV QW technology is now developing apace. The first attempt to grow a II-IV QWSC using the materials combination CdTe/CdMnTe (Scott et ah, 1997) was hindered by problems with series resistance. II-IV quantum dot (QD) structures, developed mainly for their electroluminescent properties, have also been considered for PV (Greenham et al, 1997; Vogel et al., 1994). However, the problem of collecting the photogenerated carriers from the QD sensitisers remains to be solved. Si-Ge QWs and superlattices have also been investigated. The main problem here is that these materials have indirect band gaps, so the extra photocurrent gained by inserting Ge QWs in Si would be tiny. Some theoretical studies (Pearsall, 1989) argue that the band gap of Si-Ge superlattices becomes direct, but this has yet to be demonstrated in practice.
10.3 Physics of QWs QWs possess a distinct electronic structure due to the confinement of charge carriers into thin semiconductor layers. This special electronic structure affects the physical processes of photon absorption, carrier relaxation and transport, which are of central importance to photovoltaic energy conversion. In this section, we will discuss the electronic structure of the QW and its effect on each of these microscopic processes. In Section 10.4, we will relate the basic physics of QWs to the performance of the photovoltaic device.
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10.3.1 The quantum well A QW is formed when a layer of a narrow-gap semiconductor a few nanometres thick is grown epitaxially between layers of the wider-gap semiconductor. It is important that the two materials be electronically similar {i.e. that the atomic part of the crystal wavefunction is similar, and that the two materials have the same crystal symmetry), that the interface be clean and that the same crystal planes form the interface in either material). Then the different potential of the quantum well may be treated as a perturbation to the crystal potential and delocalised carrier states can extend across the two materials (Bastard, 1988). Energy conduction band
"7 S
U b
4
V"
>
f
U
9
_S
f
1
t
valence band
well material
barrier material
nistanrp
Figure 10.2
Band profile of a Type I quantum well.
If the conduction band edge is lower in energy, and the valence band higher in energy, in the well material than the barrier, then electrons and holes are both confined in the well material. This is known as a Type I QW (Fig. 10.2). If only one carrier type is confined in the well, the QW is Type II. Many QWs together form a multi-quantum well (MQW), and if the barriers are thin enough for neighbouring wells to be electronically coupled the structure is known as a superlattice (SL). Only Type I QWs have so far been studied for solar cells, although SLs have been proposed as a means of improving carrier transport in high-resistivity InP solar cells (Varonides and Berger, 1997).
453
Quantum Well Solar Cells 10.3.2 Density of states
The QW forms a quasi-two-dimensional system. Confinement of electrons and holes in the growth (say, z) direction leads to quantisation of the z component of their momentum and kinetic energy. The quantised energy U„ of the nth level is related to the z component of the wavevector kn through
U.
2m
where m* is the effective mass of the carrier in the growth direction. The carriers are confined to a set of subbands of minimum energy Un, but are free to move in the xy plane of the well where the symmetry of the crystal is maintained. Hence a carrier in the nth. subband has total energy
U(k) = Un+^X
(10.1)
2m
\\
where k is the total wavevector, k\\ is the component in the xy plane (such that k2 = k\2 + k„2), and my* is the effective mass of the carrier in this plane. In the envelope function approximation, the shift V(z) in the conduction or valence band edge due to the QW is considered as a perturbation to the periodic crystal potential, and the wavefunctions as crystal eigenfunctions modulated by an 'envelope function'. The confined state energies U„ and envelope functions Fn(z) are solutions to an 'effective mass' equation, which resembles Schrodinger's equation for a onedimensional potential well. They are analogous to the energy levels and wavefunctions of a one-dimensional quantum system. For a QW of width L and depth V, h2 d2'Fn(z) + U(z)Fn(z)-= [/„, 2m lm dz dz"2 where
U(z) = 0, U(z)
= v,
-LI2\LI2\
(10.2)
LI2
This equation holds for both electrons in the conduction band and holes in the valence band, but with different values of m and V. Energies Un are measured up from the bottom of the QW in the conduction band for electrons, and down from the top of
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the valence band for holes. The well depth V depends on the composition of the barrier and well materials and on how the difference in band gap is divided between the valence and conduction bands. The effective mass m for each carrier type is in general different for well and barrier. In III-V semiconductors two different types of hole, heavy and light, need to be considered. In the bulk crystal, heavy and light holes are carriers with different effective mass associated with two degenerate crystal bands. For a QW in unstrained material, heavy and light holes occupy the same potential well in the valence band, but with different sets of confined-state energies on account of their different effective masses. In a strained QW, the well depths for heavy and light holes can be different. The number N of confined states contained in the QW for each carrier type is given by (
I—r~
L-J2mV N = int nh
s
i
+1
(10.3)
where int(x) means the integer part of x. N increases with increasing well width and depth, and carrier effective mass. The well is normally narrow enough to admit only a few confined states. At energies U > V the carriers are no longer confined and a continuum of states becomes available, as in the bulk material. These continuum states will not be considered here. In accordance with the Uncertainty Principle, the lowest energy level is always shifted away from the bottom of the well, by an amount that increases with increasing quantum confinement. This means that the ground-state energy, and hence the absorption edge, can be controlled simply by varying the well width. The corresponding envelope functions have well-defined parity and penetrate further into the barrier as energy is increased. Energy levels and envelope functions for a typical AlxGa1_jrAs/GaAs QW are shown in Fig. 10.3. In the SL configuration, neighbouring wells are coupled, extended state envelope functions span the entire SL, and the previously discrete energy levels of the QW broaden into bands. These effects improve carrier transport in the growth direction. The density-of-states function can be constructed from the energy spectrum in the usual way. For a QW of width L the density-of-states per unit volume V is given by D(U)=^d[U-U(k)] = - ^ i > 0 / - £ / „ ) V k nn L „=1
(10.4)
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Quantum Well Solar Cells
0.2 e2 81
o -0.2 -0.4 |
I-
:;i Well widths
Figure 10.3 Calculated energy levels and envelope functions for a 100 A GaAs QW in AlojGao.vAs. The relative energies of confined states and band gaps are to scale, and the bottom of the conduction band is taken as the zero of energy. Quantum number is measured up from the bottom of the well for electrons, and down from the top of the well for holes.
where 5 is the Dirac delta function and 0 is the Heaviside function. As shown in Fig. 10.4, D{U) has the staircase structure characteristic of quasi-two-dimensional systems. D(U) finite well,
bulk
Figure 10.4 Schematic density-of-states function D(U) for a finite QW, compared with that for an infinitely deep QW and for the well material in the bulk. The first three confined state energies, Ui, U2 and Ui are shown.
This allows us to calculate the concentrations n (of electrons) and p (of holes) in the QW, assuming a local quasi-thermal equilibrium. For electrons with density-ofstates function DC\,(U) in the conduction band,
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J. Nelson
n = J £>cb([/(k))/rott/(k),7\&)d£/ U
(10.5)
cb
where/FD(U) is the Fermi-Dirac distribution function, Ucb is the conduction band-edge energy, p,e the quasi-Fermi level for electrons in the QW and T the effective electron temperature. When £/cb > fie,nis given by n = niqexp[(jie-Ui
+ en)/lcT]
(10.6)
where niq is the intrinsic carrier density of the QW material in the bulk, Ut is the intrinsic potential energy—the level at which the Fermi level would lie in a perfectly intrinsic material—and 9„ is a measure of the shift in n due to quantum confinement. This is analogous to the expression for n, namely nt, exp[(/2 ? -£/ ( )/W], in a nondegenerate bulk semiconductor. For the remainder of the discussion, we will assume that the QW is described by a quasi-two-dimensional density of states and by a local quasi-Fermi level that is not necessarily continuous with that in the barrier material. electric field
Figure 10.5 Band profile for a QW subject to an electric field S in the growth direction. As the field is increased the right-hand barrier is reduced, increasing the probability of electron escape by thermionic emission or tunnelling.
In operating conditions, QWs placed in the space-charge region of a p-n junction will be subject to a (small) electric field. The field tilts the QW, as shown in Fig. 10.5, distorts the confined-state functions and shifts their energies. The energy of the lowest confined state is reduced. Strictly speaking, in the presence of the field these wavefunctions are no longer confined—carriers penetrate further into the barrier on the side of decreasing potential energy and can tunnel out. For solar cells, the electric field is small enough for the 'flat band' approximation to the band structure to be adequate. However, it is relevant that tunnelling through the barrier is possible.
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Quantum Well Solar Cells
10.3.3 Photogeneration In a solar cell, photon absorption across the band gap is important. Fermi's golden rule gives the absorption coefficient a in terms of the confined-state energies and overlap integrals. For transitions between a valence-band state \i) of energy £/, and a conduction-band state | / ) of energy Uf , under the influence of an electromagnetic field of angular frequency co and polarisation e, we have (Bastard, 1988) a(U) = - X
\(f\e.p\ifs[uf
-U, -u]
(fm(U,)-
fm{Ufj)
(10.7)
where U is the photon energy ha, p is the momentum operator and A is a sampledependent optical constant. In the usual case where the light is incident normal to the plane of the QW, the matrix element is proportional to the overlap integral Mtm between the valence subband / and conduction band m envelope functions Mlm=jFel(z)Fhm(z)dz
(10.8)
This means that optical transitions are allowed only between subbands of the same parity (/ and m both even or both odd), and are strong only when / = m. In addition, Coulombic bound states (excitons) are formed at an energy just below the minimum for each optically allowed subband-to-subband transition. The excitons appear as strong peaks in the spectrum, even at room temperature, because of their higher binding energy in two-dimensional systems. Including only the principal (Is) exciton and summing eq. 10.7 over initial and final state energies for the Ith. electron - wth. hole subband pair, we have alm(U) = alhlhhMlm [flmS(U -Ulm -Blm) + Q(U -UJ]
(10.9)
where Utm is the electron-hole transition energy before Coulombic effects are included, fi/m and fim are the exciton binding energy and oscillator strength, and the constants QLihm represent the absorption coefficient on the first step edge. In III-V semiconductors, optical transitions occur between both electron-heavy hole (hh) and electron-light hole (Ih) states. The total absorption is the sum of contributions from all such transitions:
a(U) = J X ^ (U) +YJ%K (U) l,m
l,m
(10.10)
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J. Nelson
where each electron-hole subband pair contributes a step function and a set of excitons to the total absorption spectrum. The absorption coefficient for a typical AltGa,_,As/GaAs QW is shown in Fig. 10.6. GaAs 5
-Alo.aaGao.67As/GaAsMQW -Alo.33Gao.67As
I 1.6
1.7
1.1
Photon energy/eV
Figure 10.6 Calculated absorption coefficient for a 100A Alo.33Gao.67As/GaAs QW compared with the absorption of bulk GaAs and bulk Alo.33Gao.67As. (For the QW, the absorption coefficient is per unit thickness of well material, not including barrier thickness.)
The QW absorption spectrum thus reflects the step-like form of the density-ofstates, modified by strong excitonic peaks. (Because of the strong exciton, the QW spectrum may have a steeper absorption edge than the equivalent bulk alloy, which could be useful for certain PV applications.) The absorption edge or effective band gap Ua is blue-shifted from the absorption edge U,. of the well material in the bulk by the joint confinement energies Uuh of the lowest electron and heavy hole subbands less the corresponding exciton binding energy Bnh.
U„ =U.+U„k-B,lit
(10.11)
The effective band gap U„ is most strongly influenced by QW width and varies from the band gap Ug of the well material for very wide wells, to the band gap Ub of the barrier—or host—material for very narrow wells. This tunability of the absorption edge is one of the most important features of the QWSC. At photon energies above Ub, photogenerated carriers are no longer confined in the QW and the simple quantum mechanical model of absorption becomes unhelpful. In this range the absorption spectrum of the QW begins to resemble that of the bulk material.
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10.3.4 Transport and recombination As in any semiconductor device, the electron and hole, once excited, may be transported away from the point of creation, or recombine with each other or with trap states in the band gap. In the steady state, these processes are described by the continuity equations for electrons and holes: 1 di q dz and q dz where r is the volume recombination rate, g the volume generation rate, ie the electron current density and ih the hole current density. The materials parameters that are normally used to quantify these processes in a bulk crystalline semiconductor device—the recombination lifetimes and diffusion constants—are properties of the bulk material and only have meaning in a material many times the thickness of a QW. Level quantisation affects not only the generation term through the QW absorption, discussed above: it also affects the rate of recombination and the mechanism of transport in the direction of the built-in field. We shall discuss these effects next.
10.3.5 Recombination The processes that govern recombination in bulk materials apply to QWs. For III-Vs the most important, in practice, is nonradiative recombination through traps. For a single trap state in the band gap, the Shockley-Read-Hall recombination rate is given by r„=
^ Te(p + p,)+T„(n + nt)
(10.12)
where p„ n, are the equilibrium populations of trap states occupied by holes and electrons, and TP, r„ are the respective carrier trapping times. This formulation should be appropriate to a QW provided that n and p are defined using the quasi-Fermi level of the carriers in the QW (eq. 10.6). The lifetime parameters are properties of the
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J. Nelson
material and so as a first approximation to a QW we may take the same values as for the well material in the bulk. However, the accumulation of defects at the QW interface may affect the location and density of trap states, and quantum confinement may reduce the trapping times. In the limit of ideal material, radiative recombination is the process that determines solar cell efficiency. The excess radiative recombination in the biased device (i.e. in addition to the recombination that balances thermal generation in equilibrium) then constitutes the dark current. In any volume element 8V the radiative recombination rate rrad depends on the local absorption spectrum a(U) and the local quasi-Fermi level separation A/iF , according to rrad5V = \a(U)j(U,T,^f)dU8V
(10.13)
The emitted flux density j is given by the generalised Planck equation (Wurfel, 1982;Tiedjee/a/., 1984)
j(U,T,AfiF) = 1 ^ ^ - J J j L —
(10.14)
where nr is the local refractive index, h is Planck's constant and c the speed of light.
10.3.6 Transport in the growth direction In a homojunction solar cell, electron and hole currents are normally described by the drift-diffusion equations. The electron current is given by (Sze, 1981; Hovel, 1985) dn <' • = W + 'drift =
(10.15)
where De is the electron diffusion coefficient, S the electric field strength and un the electron mobility. In the region of a QW, carriers with energy above the barrier band edge will be scattered into and out of the QW by much the same processes as in the bulk. One approximation to transport through the QW is to apply the drift-diffusion equations to the composite structure and represent the QW by a region of increased carrier population. In this approach it is assumed that the QW and host are in quasi-
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461
thermal equilibrium and that the quasi-Fermi level is continuous across the interfaces oftheQW. However, this treatment neglects the fact that carriers with energies below the barrier band edge are essentially trapped in the QW. These carriers may escape from the QW by quantum mechanical tunnelling or thermally-assisted tunnelling when the QW is subject to an electric field in the growth direction, and other carriers may be captured into the QW by scattering from higher energy states. Both of these processes are quantum mechanical and cannot effectively be described with the drift-diffusion equations. An alternative approach is to consider two populations for each carrier: a mobile population with energy greater than the barrier band edge, and a confined population in the QW. The confined population does not actually contribute to the current, but it affects the current by influencing the rate at which carriers are added to the mobile population through escape, or removed from it through capture. Equation 10.15 for ie should therefore include terms for escape and capture: l
e ~ 'diff
+
' d r i f t + ' e s c "'capture
(10.16)
The escape current is important whenever carriers are generated in the QW and an electric field is present perpendicular to the plane of the QW. It can be calculated semiclassically from W =iDcb(U(k))fPD(U(k),T,fie)Tr(kz)-±d3k
hk
(10.17)
where Tr(kz) is the probability of transmission through the barrier at wavevector kz. The integral should be carried out with respect to wavevector, rather than energy, because of the anisotropy of the density of states. For shallow QWs in short-circuit and low-forward-bias conditions, the escape current appears to be equivalent to the sheet generation rate in the QW (Nelson et al., 1993). In the operating conditions of a QW, when barrier states are also populated, eq. 10.17 should be modified to allow for a finite probability of population of the final states, and a term added for capture of carriers into the QW from states above the barrier. This is a notoriously difficult problem, involving both localised and continuum states, and has not at time of writing been resolved for the QWSC. Once given the expressions for carrier pair generation, recombination and current, carrier continuity may be invoked to complete the set of equations for the QW device.
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J. Nelson
Discretising the continuity equations for electrons in a QW of width L we have, in the steady state ~- = q{g-r)
(10.18)
Li
where Aie represents the change in electron current across the QW, and g and r the volume rates of pair generation and recombination in the QW. At each interface, ie should be continuous. Thus a set of current and continuity equations can, in principle, be constructed to describe the behaviour of the QWSC, much as for conventional solar cells. To do this, the correct descriptions of escape and capture must be known so that the carrier current can be related to the quasi-Fermi levels in the QW.
10.4 Performance characteristics of QWSCs 10.4.1 Spectral response QWs enhance the photocurrent by extending absorption. The relevant quantity for PV is the spectral response (SR) or zero-bias quantum efficiency of the cell, which is the probability that, for each incident photon of given wavelength, an electron will be collected at the contacts. Figure 10.7 shows how QWs extend the SR to longer wavelengths for an AlGaAs p-i-n cell with and without GaAs QWs. The SR at photon energies above the baseline cell band-gap Ub is barely affected by the QWs. This shows that QWs do not degrade the collection of minority carriers. Indeed, the SR is improved slightly at energies close to Ub on account of the higher absorption of the QW material at these wavelengths. The SR at photon energies below Ub is entirely due to absorption in the QWs and reflects features of the QW absorption spectrum. This behaviour is straightforward to model. For QWs placed in the depletion region of the cell, we can ignore diffusion and make the usual assumption that all minority carriers reaching the edges of the depletion region by drift are collected. Then for N QWs of width L, the SR is related to absorption through SR(U) = (l-r)riex(l-exp[-NaQW(U)L])
U< Ub
(10.19)
where r is the front-surface reflectivity and t]esc the probability of carrier escape from the QW. The fraction (1 —r7esc) of the carriers that do not escape can be assumed to
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0.50
0.40
°
0.30
CO
2 V;
0.20
75 Q> O.
CO o.io
0.00 400
500
600
700
800
900
Wavelenglh/nm Figure 10.7 Measured spectral response for an Alo.j3Gao6?As p-i-n test device with and without fifty 87A QWs in the /-region. These devices were not anti-reflection coated. recombine in the QW. In fact, for QWs in any of the systems mentioned at room
temperature, rjcsc is unity. This has been confirmed by experimental studies of the dependence on the field and temperature of the photocurrent from single quantumwell devices (Nelson et aL, 1993; Barnes, 1994; Zachariou et aL, 1998), which show that carriers escape from the QWs at room temperature by thermally-assisted tunnelling. Equation 10.19 reproduces the short circuit SR fairly reliably for a wellcharacterised QW (Paxman et aL, 1993; Barnes et aL, 1996; Connolly et aL, 1995). It is implicit in eq. 10.19 that, once a carrier has escaped from the QW, it will be collected. The incremental photocurrent due to the QWs in an incident spectrum of photon flux./'incW is thus A, ph =jASR(c/) 7illc (^)d<7
(10.20)
where ASR(<7) is the incremental SR due to the QWs, which is given by eq. 10.19 for U < Uy and the difference between the SR of well and host material for U > (/(,. To maximise the effect of the QWs on photocurrent we require a SR which is as high as possible for U > U„. In principle this can be achieved by increasing the number of quantum wells and reducing the optical depth of the top layer (the ^-region in a p-i-n structure) by reducing its thickness or compositional grading, as shown in Fig. 10.8.
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J. Nelson
lesl p-i-n cell 1
• g f
^. » 1
test OW cell lessp, mote I ARcoat
V
400
/'
500
^^'"n
y ^ ^
600
— M — b a c k reflector •
data
«Jj 700
800
L 900
Wavelength/nm
Figure 10.8 Calculated spectral response SR for an Alo.33Gao.67As p-i-n device and a series of Alo.33Gao.67As/GaAs QW devices, showing the effect of (a) reducing the p-layer thickness and increasing the /-layer thickness; (b) adding an anti-reflection (AR) coat; (c) adding a front-surface window and backsurface reflector. The measured SR for a cell of design (b) is compared to the calculation.
In practice it is not always straightforward to increase the number of QWs. A wide /-region requires a relatively low level of charged impurities (<10 cm" ) in order to maintain the electric field (Barnham et al, 1991; Zachariou et al, 1996). Figure 10.9 shows how the QW SR is affected by high background doping, in this case arising from diffusion of the zinc dopant into the /-region. For GaAs/IntGai_,As QWs, strain limits the spacing of the QWs. The GaAs barrier layers need to exceed a critical thickness, several times the I n / j a ^ A s QW width, in order to accommodate the lattice mismatch without dislocations (Barnes et al., 1996; Griffin et al., 1996). In this system, light trapping is essential to increase the SR to a useful level. The effect of light trapping on the SR is illustrated in Fig. 10.10. An alternative strategy is to use In,Ga|_^As of low indium content rather than pure GaAs in the n- and p-regions, so partly compensating the strain introduced by the QWs (Mazzer, 1997). This reduces the critical spacing, and allows more QWs to be inserted into an /-region of given width.
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1.00 Model: High background doping Model: Low background doping •
0.80
Experimental data
0.00 600
800
1000
1200
1400
1600
Wavelength/nm
Figure 10.9 Measured and calculated SR for an InP p-i-n device containing twenty Ino.53Gao.47As QWs. The calculated curves show that an unintentional background doping in the /-layer of around 2 x 10" cm"3 is required to explain the low SR. Diffusion of zinc dopants increases the space charge in the /-region so that at zero bias the electric field falls to zero near the centre of the /-region and only around half of the carriers generated in the QWs are collected.
OS
Rough mirror
\ \ \
Plane gold mirror
(1.4
— No reflector
\ **" 0.3
0.2
\ \
X
\
/-\
\
/ \
\^\
0.1
910
930
Wavelenglh/nm
Figure 10.10 Measured SR for a series of GaAs/In»Gai_,As devices, each with 10 QW, processed in different ways. The low SR with no light trapping is substantially increased by adding a plane or a rough gold mirror at the back surface. The rough mirror, a gold epoxy resin, achieves light trapping effectively through large-angle internal scattering (Ekins-Daukes, 1998).
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J. Nelson
10.4.2 Dark current The dark current «DkW of a solar cell at forward bias V is the sum of contributions from radiative and nonradiative processes. h*W) = inW + i^iV)
(10.21)
Since the generation rate g = 0 in the dark, (Dk is found by integrating all the contributions to the recombination rate r over the volume of the cell. Radiative recombination within the interior of the device is partly cancelled by absorption, and the radiative current irad is given by q times the net photon flux escaping through the device surface. Thus irad is obtained by integrating eq. 10.13 over surface elements S and solid angle Q, Li=
ja(U,d,s)j(U,T,Afi¥)da.dSdU s
where a(U, 8, s) is the probability that a photon of energy U will be emitted from the point s on the surface at an angle 6. This equation should apply to the radiative currents from a QW device provided that the appropriate values of a((/) and AflF are used. In an ideal solar cell, radiative processes are dominant and AfiF is assumed to be constant and equal to the cell voltage V. In real solar cells at typical operating biases, nonradiative processes are dominant, and the nonradiative current im(V) is found by integrating the nonradiative recombination rate rrj(z) over the volume of the cell.
r(V)=J rnAV,z)dz
(10.22)
In III-V devices, rm is well modelled by the Shockley-Read-Hall expression (eq. 10.12), and will be greatest in the depleted space-charge layer (SCL) of the junction, where n and p are similar. Calculating im in the depletion approximation (also known as the exhaustion layer approximation), we find for ap-n or p-i-n homojunction cell anW im(V) = ^ ? -
smh(qV/2kT) ^ 1
(10.23)
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where W is the width of the SCL, tm the ambipolar carrier lifetime and Vbi the built-in bias of the junction (Sah et al, 1957). Since QWs are placed in the SCL and have a much higher intrinsic carrier density than the host material, we may expect them to dominate the dark current. We can approximate the incremental recombination current \im by treating the QWSC in the depletion approximation in the same way as the p-i-n cell above. (The depletion approximation appears to be valid so long as the quasi-Fermi levels do not penetrate the QWs.) Then, for a single QW cell, we find (Nelson et al, 1995) qniaLsinh(qV/2kT) &*=— T ( Tim) cosh[qq/kT)
(10-24)
where ni(l is the intrinsic carrier density in the QW, Tmq is the mean nonradiative recombination time in the QW and 0q the value of the intrinsic potential at the QW relative to the midpoint of the quasi-Fermi potentials for electrons and holes, which depends on the location of the QW relative to the point where n = p and vanishes for a QW located in the centre of a symmetrically-doped junction. In this case, eq. 10.24 reaches its maximum value and A('nr takes the usual ideality factor of 2 for recombination-generation currents. Comparing eqs. 10.23 and 10.24 we could expect the dark current to increase by a factor of {niqUni W) for a single QW added to the centre of the i-region. Typically, this factor may be one or two orders of magnitude, which could reduce the open-circuit voltage by 10-20%. As Fig. 10.11 shows, dark currents for QW and p-i-n solar cells in a range of materials show that /ok values do indeed increase when QWs are added. However, when compared to theoretical calculations, the measured jDk is smaller than predicted by around one order of magnitude, and has a different bias dependence or ideality factor (Nelson et al., 1994; Nelson et al, 1995). This means that the open-circuit voltage is slightly larger than expected. Figure 10.12 shows dark currents calculated by solving the carrier transport equations self-consistently to determine the n and p profiles, and then integrating the SRH recombination rate across the device. A local quasi-thermal equilibrium is assumed, so that electron and hole quasi-Fermi levels are continuous across the QW interfaces. Several possible explanations for the discrepancy are suggested by eq. 10.24. One is that the recombination lifetime for carriers in the QW is longer than for the well material in the bulk. This is rather unlikely since material quality should, if anything, be worse in the QW configuration on account of the interfaces. Another is that background doping could shift the point where nonradiative recombination is
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— — — 85A MOW —X—SOASQW ™ ^ ^ ~ AlGaAs p-i-n - • -
-I40ASOW
- - - - G a A s p-i-n X
GaAs/lnGaAs
Bias/V
Figure 10.11 Measured dark currents for a series of QW and homogenous p-i-n devices. The curves show that adding GaAs QWs to an Al.vGai-.
KHXIU
Model: low background doping Model: high background doping 1000 -
\
Experimental data
ytf /4r f f
10
/ / 0.1
/
0.001
/
/ f, Bias/V
Figure 10.12 Measured and modelled dark currents for an Alo.34Gao.66As/GaAs single QW device. The black line shows the dark current expected when the background doping level N; in the 1 region is small (~1014 cm"3) and the QW is located close to the plane where electron and hole densities are equal. For high background doping (W; = 2 x 1016 cm"3), p S> n at the QW and nonradiative recombination is reduced. The lower ideality factor reflects the asymmetry in the electron and hole densities.
maximum away from the centre of the ('-region, and so reduce the recombination rate at a centred QW. This would also explain the change in ideality factor, as shown in Nelson et al., 1995 and 1999. But it would not explain why the dark current is lower
Quantum Well Solar Cells
469
than expected in mw/ri-quantum well devices, where we would expect the regular MQW array to sample all nip ratios equally. A possible explanation is that n and p are smaller than expected in the QW, i.e. the quasi-Fermi levels are closer to the centre of the band gap than in the neighbouring host material. This is supported by complementary measurements of the radiative recombination current in single QW devices (Nelson et al, 1997 and 1998) which show that the emission spectrum from a single QW is some tens of meV smaller (and the radiative current a factor of 2-4 smaller) than expected if the quasi-Fermi level separation were constant across the well/barrier interface. This explanation suggests that the QWs are not in quasi-thermal equilibrium with the barrier material. Quasi-equilibrium is appropriate when current is dominated by low-field carrier drift and diffusion. These conditions are usually satisfied for a homojunction cell, where variations in carrier population are smooth. In QWSCs in the region of the QW interfaces, as discussed above, current may be dominated by carrier escape from the QWs through thermionic emission and thermally-assisted tunnelling. These currents may greatly exceed drift-diffusion currents in the direction of increasing kinetic energy, and therefore the notion of quasi-thermal equilibrium may not be valid here. This explanation was proposed by Corkish and Honsberg (1997). They draw on studies of bulk heteroj unctions which show that a step in the minority carrier Fermi level may result at a heteroface in conditions where transport is limited by thermionic emission or transport across a space-charge region. They show that a moderately high level of background doping in the QW could give rise to reduced quasi-Fermi level separation and lower dark currents. This is a promising idea and more detailed modelling incorporating carrier escape and capture may well provide a quantitative explanation of the observed dark currents. Optimisation of the QWSC clearly requires minimisation of the incremental recombination current. One way to do this would be to choose a material for the QW with long nonradiative recombination times. In GaAs, for example, minority carrier lifetimes are long compared to those in A^Ga^As, and it is possible that the recombination current from an AlxGai_^As/GaAs MQW may be lower than from the Al^Ga^As alloy of equivalent effective band gap. Also the dependence of recombination rate on QW position means that it should be possible to optimise the design of QW solar cells by locating QWs away from the centre of the SCR, in the regions where n > / > o r p > n . (Nelson et al., 1999). This effect results simply from the asymmetry in carrier populations and the form of the Shockley-Read-Hall recombination rate; it does not require that the quasi-Fermi level in the QW be reduced.
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10.4.3 Current—voltage characteristic As explained in Section 10.3, QWs are expected to increase both the photocurrent and the dark current of a single band-gap solar cell. Making the assumption that the dark current is not changed by illumination (the superposition assumption), it is usual to write the current-voltage characteristic as i(V) = isc-iDk(Y)
(10.25)
where isc is the short-circuit photocurrent density. The efficiency is given by the ratio of the maximum of the current-voltage product, /(Vmp) x Vmp, to the incident light power. For a QWSC, j(V) = iK + A*'sc - /Dk (V) - MDk (V)
(10.26)
Therefore QWs can benefit the power conversion efficiency only when the increase in photocurrent A/Sc exceeds the increase in recombination current A/Dk at the operating voltage. For small changes this means, A/ s c -A/ D k (V)>0
(10.27)
The advantage increases with the number of QWs since, while A/sc increases approximately linearly with the number of QWs, the decrease in open-circuit voltage due to AiDk changes only logarithmically. In Figs. 10.13 and 10.14,1-V characteristics are presented for an Alo.3Gao.7As p-in cell with and without 30 GaAs QWs and a GaAs p-i-n cell with and without 10 Irio.i6Gao.84As QWs. In both cases, introducing the QWs has increased /sc and reduced VQC. The latter results from the increased dark current, which is evident from eq. 10.25. In the case of the Alo.3Gao.7As host cell, where the host band gap exceeds the optimum for solar energy conversion, the net effect of QWs is to increase the cell efficiency. This is as expected, since QWs added to a wide-gap host cell reduce its effective band gap towards the optimum. In the case of the GaAs host, the efficiency decreases, which is again the result expected simply from arguments about the optimum band gap for photoconversion: the addition of a lower band-gap material to GaAs will reduce the effective band gap for absorption, and from detailed balance arguments this is expected to reduce the efficiency of the solar cell.
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Quantum Well Solar Cells
-AIGaAsp-;"-ncell
so 7 £
<
-AIGaAs/GaAs QW cell
•10
30
20 10
o
Figure 10.13 Measured current-voltage characteristics for an Alo.3Gao.7As p-i-n device with and without 30 GaAs QWs, in a white light source approximating to a 3200 K black-body spectrum. Note that these devices were not AR coated; hence the low current densities. BOO 500 f E
<
400 300
200 -GaAs p-i-n cell -GaAs/lnGaAs OW cell
0.2
0,1
1.2
Figure 10.14 Measured current-voltage characteristics for a GaAs p-i-n cell with and without 10 InGaAs QWs, using the same light source as for Fig. 10.13.
The results for the GaAs and InP host materials are complicated by material quality issues. In GaAs the number of QWs that may be added before strain degrades the device quality is too few to produce an adequate photocurrent enhancement. In InP, problems of high background doping have made it impossible to prepare good quality devices for comparison. However, InvGai_,As QWs have been observed to increase the efficiency of a less-than-perfect InP p-i-n cell (Zachariou et al., 1996). In no case has it yet been possible to add a sufficient number of QWs to a near-optimum
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band-gap solar cell and maintain material quality. It is therefore not yet possible to decide on the effect, in practice, of QWs on solar cell efficiency. However, we can learn something from the effect of QWs on the open-circuit voltage VQC of test devices. Detailed-balance arguments (below) imply that Vx should be controlled by the absorption edge £/a. Therefore we would expect a decrease A£/a in the absorption edge to cause a decrease in V,*. of the same magnitude, and we have seen above that the decrease in £/a caused by the introduction of QWs is accompanied by a reduction in Voc- However, measurements (Fig. 10.15) show that V^. is less sensitive than expected to the effective band gap £/a of the well material (Barnham et ai, 1996). This is reasonable since it is the host material that controls carrier injection currents, and hence the population of carriers available for recombination. : •MQW Cells : A Controls
AVoc =
-
/
'-
//
/
A
-?/
: •
y
' /
/ /
:
dUa
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T
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40% AI pin
30% Alpin
/ y
/ y< ''MQW40%AI ^C^^-MQW30%AI
i / 6 a A s "^MQW20%AI ^ InP
5r
1.4
i
1.5
1.6
1.7 1.8 U a /sV
I
1.9
2.0
2.1
Figure 10.15 Open-circuit voltage against effective band gap for a series of AttGai-^As/GaAs QWSCs and AlrGai-,As p-i-n cells of different AI fraction. Notice how for the QW devices Voc is higher than expected either from the measured dependence of Voc on AI fraction for Al,Gai_.,As devices (dashed line) or from the theoretical dependence of Voc on the absorption edge of the QW, the effective band-gap (dotted line), expected from detailed-balance arguments.
10,5 Limits to efficiency A generalised detailed-balance theory due to Araujo and Marti (Araujo and Marti, 1994; Araujo et at, 1994) concludes that no monolithic solar cell can achieve a higher efficiency than a homojunction cell of optimum band-gap. This conclusion rests on two important assumptions: that the quasi-Fermi level separation is constant throughout the device and equal to the applied bias V, and that each absorbed photon delivers exactly one electron to the external circuit. The first condition means that,
473
Quantum Well Solar Cells
according to detailed balance, the probability of photon emission from the device is equal to the probability of photon absorption. The second means that both probabilities have value unity for photon energies greater than the band gap. Then for the homogenous cell of band gap Ub, the current-voltage characteristic is given by KV) = F 0 J " j-m{U,T„0) d £ / - F j " j(JU,Te,qV) dL
(10.28)
where jmc is the incident photon flux from the Sun, radiating at temperature Ts,j is the radiative flux within the cell at temperature Tc with quasi-Fermi level separation qV (eq. 10.14 above), and Fa and Fe are geometrical factors giving the solid angles for solar photon absorption and emission. For a black-body Sun at 5800 K, the available power i(V)V has a maximum at a band gap of around 1.3 eV. When applied to the case of a QWSC of effective band gap Ua this approach gives for the incremental photocurrent and dark current A«ph = Fa\uv" b{U Js)a(U)&U (10.29) A*Dk0O = FeJ^;
j(fj,Tc,A^)a{U)dU
where a(U) is the probability of photon absorption in the MQW, i.e. its spectral response. Now for the optimum QWSC a{U) = 1 for all U> U^ and, if the quasi-Fermi level separation AfiF in the QW is equal to qV, then eq. 10.26 becomes identical to eq. 10.28 above, and the optimum QWSC will be identical to the optimum single band-gap homojunction cell. There has been some debate about whether the detailed-balance theory applies to the QWSC in practice (Corkish and Honsberg, 1997; Anderson, 1995; Araujo et al., 1994b). Measurements of radiative recombination currents from biased single QW test cells suggest that App is smaller in the QW than in the surrounding host material. Irreversible carrier escape from the QW under the small electric field which is present at the operating point has been suggested as a reason for this (Nelson et al., 1995; Corkish and Honsberg, 1997). It is now of great interest to establish whether the same effect can be observed in the light. If so, then the studies mentioned above showing that VQC in a QWSC is higher than expected for the effective band gap may be explained by a reduced AfiF in the QW, since a smaller Ap,F implies a smaller dark current, and a smaller dark current implies a higher V^. If the apparent reduction in A/JF were carried over to ideal solar cells, then a small improvement in Voc, of perhaps a few per cent, could be expected.
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Another interesting idea is the possibility of exploiting 'hot' carrier effects (Ross and Nozik, 1982) in QWSCs. At high carrier densities the relaxation of excited carriers to the band edge can be slowed down by quantum confinement in a QW. The carrier populations then appear to have a higher effective temperature than the lattice, and recombination is reduced. Retarded relaxation has already been observed in QW photoelectrodes (Rosenwaks et al, 1993), and attempts have been made to design hotcarrier superlattice solar cells (Hanna et al., 1997).
10.6 Applications Because QWSCs are as costly to produce as high efficiency III-V home-junction cells, we may expect them to be interesting only in those applications where III-Vs are preferred. At the present time that means space, concentrator and thermophotovoltaic systems. Finally, we mention certain applications where QWSCs are particularly promising.
10.6.1 Tandem cells The efficiency of a monolithic tandem cell is highly sensitive to the combination of band gaps, and to the requirement of current matching between the wide and narrow band-gap components. Compared with wide-gap bulk alloys such as Al^Gaj.^As and InGaP, QW structures in Al^Gai^As/GaAs and InGaP/GaAs offer the advantages of (i) tunability of the band gap through the QW width and (ii) control of the current through the number of QWs. Although the band gap of bulk Al^Ga^As can be adjusted simply by varying the aluminium fraction x, nonradiative recombination increases rapidly with increasing x and degrades collection efficiency. QWSCs offer the alternative possibility of controlling the band gap through the width of the GaAs QWs. Since recombination will occur primarily in the lower band-gap GaAs QWs, where recombination lifetimes are longer than in AljGa^As, it may be possible to design a QWSC of superior practical performance to the A^Ga^As homojunction cell of the same effective band gap (Connolly, 1998).
475
Quantum Well Solar Cells
10.6.2 Concentrator cells In a homojunction cell, efficiency decreases at high levels of light concentration when the increased temperature causes the band gap to shrink and the open-circuit voltage, which is directly related to the band gap, to fall. In a QWSC, although the band gaps of the well and host material still reduce with increasing temperature, the effect on V,*. is less marked. Figure 10.16 compares the temperature dependence of V,* and efficiency for a pair of QWSC and homojunction cells. Although the mechanism is not fully understood, clearly the efficiency of carrier escape from the QWs will increase, or remain at unity, as T is increased. Faster carrier escape is likely to reduce the relative probability of recombination in the QWs, and so offset the effect of the decreasing QW band gap. 8 -I 76-
"r;
1
~^~<>~—U-^--
5-
4321 0
1
1
1
1
1
1
1
10
20
30
40
50
60
70
1
1
90
1
100 110
Temperature/C
Figure 10.16 Temperature dependence of the efficiency of an InP/In.tGai-tAs QW cell (full line) in comparison with a homogenous InP p-i-n device (squares) and an lnP/In.,Gai-,As heterostructurc device with an InjGai-.tAs /-region (triangles). The measurements were made in a 3000 K blackbody spectrum and scaled by correcting the photocurrent to the standard terrestrial AM 1.5 spectrum using the measured spectral response.
10.6.3
Thermophotovoltaics
In f/iermophotovoltaics (TPV, fully discussed in Chapter 11), low band-gap photovoltaic cells are used to produce electricity from the long-wavelength radiation emitted by a hot (2000-3000 C) source. The source is usually provided through fossil fuel combustion in a combined heat and power system. Often a selective emitter is used to reabsorb the very low energy photons and re-emit them at higher energies to prevent heating. The reshaped spectrum is concentrated around certain bands characteristic of the emitter. For such a spectrum, control of the band gap of the PV
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cell is essential for good power conversion efficiency. The flexibility of band gap makes QWSCs of great interest for TPV. It is also possible that Auger recombination, a longstanding problem in low band-gap solar cells, is suppressed in the QW device. QWSCs in InGaAsP/In/jai-jAs have already been shown to produce a higher V^ than the comparable In/ja^As homojunction cell (Griffin et ah, 1997).
10.7 Conclusions We have reviewed the use of novel quantum-well semiconductor heterostructures in solar cells. QW structures are of interest as a means of enhancing the photocurrent and efficiency of crystalline solar cells. Photocurrent enhancement has been demonstrated in a range of materials and is well understood. Efficiency enhancement has been observed in materials whose band gap is larger than the optimum for solar energy conversion. In materials of band gap close to the optimum, experimental tests on QW cells of equivalent quality to homojunction cells have not yet been possible. Nevertheless there is some evidence that the effect of QWs in increasing recombination within the device is smaller than expected from arguments based on a quasi-thermal equilibrium distribution of carriers. If this is true under operating conditions, then higher efficiencies may also be available with optimum band-gap cells. QW structures have the advantages over homojunction cells that the effective band gap can be controlled by tuning the width of the QW, rather than by varying the composition of a bulk alloy. This means that QWs may produce better cells of better material quality than bulk alloys when particular band gaps are required. This is relevant for high-efficiency tandem cells and for thermophotovoltaic cells, and QW structures are being researched for both these applications. A further important advantage is that QW structures have a better response to temperature and consequently are expected to perform better under concentrated light. Some of the major challenges that remain are: to find and verify a theoretical explanation for the observed dark currents and V^ behaviour; to establish whether the suppressed recombination behaviour observed in the dark occurs under solar cell operating conditions; and to prepare an optimum band-gap QWSC of equivalent quality and superior efficiency to a GaAs homojunction solar cell. More generally, work on QW structures has stimulated a range of new ideas about the role of quantum nanostructures in photovoltaics and the limits to efficiency of solar cells.
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References Anderson N. G. (1995), 'Ideal theory of quantum-well solar cells', J. Appl. Phys. 78, 1850-1861. Araujo G. L. and Marti A. (1994), 'Absolute limiting efficiencies for photovoltaic energy conversion', Solar Energy Mater. Solar Cells 33, 213-240. Araujo G. L., Marti A., Ragay F. W. and Wolter J. H. (1994), 'Efficiency of multiple quantum well solar cells', Proc. 12th. European Photovoltaic Solar Energy Conf, Amsterdam, H. S. Stephens & Associates, Bedford, 1481-1484. Barnes J. M. (1994), 'An experimental and theoretical study of GaAs/InGaAs quantum well solar cells and carrier escape from quantum wells', Ph.D. Thesis, University of London. Barnes J. M., Nelson J., Barnham K. W. J., Roberts J. S., Pate M. A., Grey R., Dosanjh S. S., Mazzer M. and Ghiraldo F. (1996), 'Characterization of GaAs/ InGaAs quantum wells using photocurrent spectroscopy', J. Appl. Phys. 79, 77757777. Barnham K. W. J. and Duggan G. (1990), 'A new approach to high-efficiency multiband-gap solar-cells', J. Appl. Phys. 67, 3490-3493. Barnham K. W. J., Braun B., Nelson J., Paxman M., Button C , Roberts J. S. and Foxon C. T. (1991) 'Short-circuit current and energy efficiency enhancement in a low-dimensional structure photovoltaic device', Appl. Phys. Lett. 59, 135-137. Barnham K., Connolly J., Griffin P., Haarpaintner G., Nelson J., Tsui E., Zachariou A., Osborne J., Button C , Hill G., Hopkinson M„ Pate M., Roberts J. and Foxon T. (1996), 'Voltage enhancement in quantum well solar cells', J. Appl. Phys. 80, 1201-1206. Barnham K., Ballard I., Barnes J., Connolly J., Griffin P., Kluftinger B., Nelson J., Tsui E. and Zachariou A. (1997), 'Quantum well solar cells', Appl. Surf. Sci. 113/114, 722-733. Bastard, G. (1988), Wave Mechanics Applied to Semiconductor Heterostructures, Editions de Physique, Les Ulis. Connolly J. P., Barnham K. W. J., Nelson J., Griffin P., Haarpaintner G., Roberts C , Pate M. and Roberts J. S. (1995), 'Optimisation of high efficiency Al^Gai_xAs MQW solar cells', Proc. Int. Solar Energy Society 1995 Solar World Congress, Harare, Zimbabwe. Connolly J. P. (1998), private communication. Corkish R. and Green M. (1993), 'Recombination of carriers in quantum-well solarcells', Conf. Record 23rd. IEEE Photovoltaic Specialists Conf, Louisville, IEEE Press, Piscataway, 675-680.
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Corkish R. and Honsberg C. B. (1997), 'Dark currents in double-heterostructure and quantum-well solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 923-926. Ekins-Daukes N. J. (1998), private communication. Freundlich A., Rossignol V., Vilela M. F. and Renaud P. (1994), 'InP-based quantum well solar cells grown by chemical beam epitaxy', Proc. 1st. World Conf. on Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1886-1889. Greenham N. C , Peng X. G. and Alivisatos A. P. (1997), 'A CdSe nanocrystal MEHPPV polymer composite photovoltaic', in Future Generation Photovoltaic Technologies—First NREL Conf., McConnell R. D„ ed., American Institute of Physics, New York, pp. 295-301. Griffin P., Ballard I., Barnham K., Nelson J. and Zachariou A. (1997), 'Advantages of quantum well solar cells for TPV, Thermophotovoltaic Generation of Electricity, Coutts T. J., Allman C. S. and Benner J. P., eds., American Institute of Physics, New York, pp. 411^22. Griffin P., Barnes J., Barnham K. W. J., Haarpaintner G., Mazzer M., ZanottiFregonara C , Grunbaum E., Olson C., Rohr C , David J. P. R., Roberts J. S., Grey R. and Pate M. A. (1996), 'Effect of strain relaxation on forward bias dark currents in GaAs/InGaAs multiquantum well p-i-n diodes', J. Appl. Phys. 80, 5815-5820. Hanna M. C , Lu Z. H. and Nozik A. J. (1997), 'Hot carrier solar cells', in Future Generation Photovoltaic Technologies—First NREL Conf, McConnell R. D., ed., American Institute of Physics, New York, pp. 309-316. Hovel H. J. (1975), Semiconductor and Semimetals, Volume 11—Solar Cells, Willardson R. K. and Beer A. C , eds., Academic Press, London. Kitatani T., Yazawa Y., Minemura J. and Tamura K. (1995), 'Vertical transportproperties of photogenerated carrier in InGaAs/GaAs strained multiple-quantum wells', Jpn. J. Appl. Phys. 34, 1358-1361. Mazzer M. (1997), private communication. Meyer M. and Metzger R.A. (1996), Compound Semiconductor, November/ December 1996, p. 22. Nelson J., Paxman M., Barnham K. W. J., Roberts J. S. and Button C. (1993), 'Steady state carrier escape from single quantum wells', IEEE J. Quantum Electron. 29, 1460-1467. Nelson J., Barnham K., Connolly J. and Haarpaintner G. (1994), 'Quantum well solar cell dark currents—a theoretical approach', Proc. 12th. European Photovoltaic Solar Energy Conf, Amsterdam, H. S. Stephens & Associates, Bedford, 13701373.
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Nelson J. (1995), 'Multiple quantum well structures for photovoltaic energy conversion', Physics of Thin Films 21, Francombe M. H. and Vossen J. L., eds., pp. 311-368. Nelson J., Kluftinger B., Tsui E. and Barnham K. (1995), 'Quasi-Fermi level separation in quantum well solar cells', Proc. 13th. European Photovoltaic Solar Energy Conf., Nice, H. S. Stephens & Associates, Bedford, 150-153. Nelson J., Barnes J., Ekins-Daukes N., Kluftinger B., Tsui E., Barnham K., Foxon C. T., Cheng T. and Roberts J. S. (1997), 'Observation of suppressed radiative recombination in single quantum well p-i-n photodiodes', J. Appl. Phys. 82, 62406246. Nelson J., Barnes J., Ekins-Daukes N., Barnham K. W. J., Kluftinger B., Tsui E. SM., Foxon C. T., Cheng T. S. and Roberts J. S. (1998), 'Reduced radiative currents from GaAs/InGaAs and AlGaAs/GaAs p-i-n quantum well devices', Conf. Record 24th. IEEE Int. Symposium on Compound Semiconductors, IEEE Press, Piscataway, 413-416. Nelson J., Barnham K., Ballard I., Connolly J. P., Roberts J. S. and Pate M. (1999), 'Effect of QW location on quantum well photodiode dark currents', J. Appl. Phys. 86,5898-5905. Paxman M., Nelson J., Barnham K. W. J., Braun B., Connolly J. P., Button C , Roberts J. S. and Foxon C.T. (1993), 'Modelling the spectral response of the quantum well solar cell', J. Appl. Phys. 74, 614-621. Pearsall T. P. (1989), 'Optical properties of Ge-Si alloys and superlattices', J. Luminescence 44, 367-380. Ragay F. W., Wolter J. H., Marti A. and Araujo G. L. (1994), 'Experimental analysis of the efficiency of multiple quantum well solar cells', Proc. 12th. European Photovoltaic Solar Energy Conf, Amsterdam, H. S. Stephens & Associates, Bedford, 1429-1433. Renaud P., Vilela M. F., Freundlich A., Bensaoula A. and Medelci N. (1994), 'Modeling p-/(multi quantum well)-n solar cells: a contribution for a near optimum design', Proc. 1st. World Conf. on Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1787-1790. Rosenwaks Y., Hanna M. C , Levi D. H., Szmyd D. M., Ahrenkiel R. K. and Nozik A. J. (1993), 'Hot-carrier cooling in GaAs—quantum-wells versus bulk', Phys. Rev. B. 48, 14675-14678. Ross R. T. and Nozik A. J. (1982), 'Efficiency of hot-carrier solar-energy converters', J. Appl. Phys. 53, 3813-3818.
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Sah C.-T., Noyce R. N. and Shockley W. (1957), 'Carrier generation and recombination in p-n junctions and p-n junction characteristics', Proc. Inst. Radio Engineers. 45, 1228-1243. Scott C. G., Sands D., Yousaf M., Abolhassani N., Ashenford D.E., Aperathitis E., Hatzopoulos Z. and Panayotatos P. (1997), 'P-i-n solar cell efficiency enhancement by use of MQW structures in the /-layer', Proc. 14th. European Photovoltaic Solar Energy Conf., Barcelona, H. S. Stephens & Associates, Bedford, 24992502. Sze S. M. (1981), Physics of Semiconductor Devices, Wiley, New York, 790-838. Tiedje T., Yablonovitch E., Cody G. D. and Brooks B. G. (1984), 'Limiting efficiency of silicon solar-cells', IEEE Trans. Electron Devices 31, 711-716. Varonides A. C. and Berger A. W. (1997), Proc. 14th. European Photovoltaic Solar Energy Conf., Barcelona, H. S. Stephens & Associates, Bedford, 1712-1715. Venkatasubramanian R. Timmons M. L., Sharps P. R., Hutchby J. A., Beck E. and Emery K. (1994), 'Material and device characterization toward high-efficiency GaAs solar-cells on optical-grade polycrystalline Ge substrates', Proc. 1st. World Conf. on Photovoltaic Energy Conversion, IEEE Press, Piscataway, 1692-1696. Weisbuch C. and Vinter B. (1991), Quantum Semiconductor Structures, Academic Press, San Diego. Vogel R., Hoyer P. and Weller H. (1994), 'Quantum-sized PbS, CdS, Ag2S, Sb2S3, and Bi2S3 particles as sensitisers for various nanoporous wide-band-gap semiconductors', J. Phys. Chem. 98, 3183-3188. Wurfel P. (1982), 'The chemical potential of radiation', J. Phys. C15, 3967-3985. Zachariou A., Barnham K. W. J., Griffin P., Nelson J., Button C , Hopkinson M., Pate M. and Epler J. (1996), 'A new approach to p-doping and the observation of efficiency enhancement in InP/InGaAs quantum well solar cells', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 113-117. Zachariou A., Barnes J., Barnham K. W. J., Nelson J., Tsui E. S.-M., Epler J. and Pate M. (1998), 'A carrier escape study from InP/InGaAs single quantum well solar cells', J. Appl. Phys. 83, 877-881. Zory P. S. (1993, ed.), Quantum Well Lasers, Academic Press, London.
CHAPTER 11
THERMOPHOTOVOLTAIC GENERATION OF ELECTRICITY T. J. COUTTS National Renewable Energy Laboratory Golden, Colorado 80401 [email protected]
Our energy is in proportion to the resistance met. We can attempt nothing great, but from a sense of the difficulties we have to encounter. William Hazlitt, Characteristics, 1823.
11.1 Introduction Thermophotovoltaic (TPV) generation of electricity has recently re-emerged after many years of stagnation. The subject was vigorously investigated in the 1960s, by Eisenman et al. (1963), by Guazzoni et al. (1968), and by Kittl (1966), and up to the early 1980s but languished for a period of about ten years because of lack of funding, at least partially due to the absence of high-performance semiconductor converters. In the view of the author, the re-emergence of the topic is largely due to advances made in technologies based on the III-V family of converters made by Wanlass et al. (1994), Bertness et al. (1994), and others. Strictly, TPV generation of electricity ought not to be included in this volume, because it is questionable whether it will ever be a solar-based technology. Indeed, in some respects, it could be regarded as merely another means of generating electricity using conventional fossil fuels. However, the Sun could be used as the source of power, as discussed by Stone et al. (1994), Guazzoni and Pizzo (1996) and Stone et al. (1995). In fact, the versatility of the fuel source is one of the main attractions of the technology. Equally, in the spirit of reducing the impact of human activities on global climate change, TPV could be driven by industrial waste heat. This is very much a speculative idea at present, but it is being actively investigated by several groups in the United States. The glass industry is a particularly good example.
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Eisenman et al. (1963) indicated that the manufacture of float-glass in the USA has a total power requirement of 1.5 GW (electrical plus thermal)1. Industry reports indicate that two-thirds of this is wasted in one form or another. Given that the temperatures involved in radiation from the melt process (to select just one aspect of float-glass manufacture) are extremely high, it is not difficult to appreciate that the waste of energy is probably considerable. It is estimated that about 16% of the total "wasted" energy is lost by radiation from the high-temperature surface of the glass melt region of the production line. Some of this heat may already be recovered by conventional methods, but there would appear to be further opportunities. With sufficient financial incentive, it seems probable that the engineering problems, sure to be encountered in a major application such as this, would be surmountable and that the potential for additional recovery of energy is considerable. We hope that the inclusion of TPV in this volume is justifiable on the basis of waste heat recovery! As mentioned above, the Sun could be used to heat radiant surfaces that could be radiation sources for TPV conversion, but it would certainly be more efficient to use photovoltaic cells designed to utilise concentrated sunlight. By going through an intermediate step, the efficiency is inevitably degraded. Despite this, solar-driven TPV has been considered very seriously, as discussed by Demichelis and Minetti-Mezzetti (1979/80) and by Stone et al. (1995). Other sources of fuel include propane, which has been investigated by Fraas et al. (1995), diesel, by DeBellis et al. (1997), natural gas, by Pelka et al. (1986), and nuclear radiation by Schock et al. (1997). Applications are already expected to be diverse, with many in the military arena and they have been reviewed by Rose (1996) and Rosenfeld (1994). Most of the R&D funding to date has derived from the military sources. Equally many applications could emerge in the non-military field. These could include sailing boats, recreational vehicles, stand-alone gas furnaces, see for example, Krist (1994), remote homes, community co-generation of heat and electricity, considered by Broman and Marks (1994) and many others not yet implemented, but mentioned by Coutts and Fitzgerald (1998), and Johnson (1996). Once the potential of TPV becomes more widely appreciated, it seems probable that many applications will emerge that are as yet undreamed. In many potential applications the attractions could include high power density, quietness, low pollution, low maintenance, fuel versatility, light weight, and reliability. Some of these attractions, however, may ultimately prove to be wishful thinking! ' Much of the thermal waste is already recovered, including some of the radiative losses. However, our calculations suggest that there is great potential for significant increases in the magnitude of recovered energy.
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TPV generation of electricity is based on precisely the same physical principles as photovoltaic (PV) generation. These principles have been fully discussed elsewhere in this volume, but, in brief, photons are absorbed by a semiconductor p-n junction and generate excess electrons and holes in both sides of the electrostatic junction. However, only the minority carriers are important to the operation of PV-based devices. After their creation, the minority holes in the n-type region drift to the p-type side of the junction under the influence of the built-in electric field. The minority electrons in the p-type region drift to the /i-type side. In the absence of external connections, the drift current is exactly offset by a reverse current caused by the carrier concentration gradient (and many other possible mechanisms). These two effects lead to the open-circuit voltage (V<,c) being established across the contacts to the two regions. At this point, no net current flows through the load. With a finite and decreasing load across the external contacts to the device, the junction is decreasingly forward-biased, leading to an increase in the flow of minority current through the load. When the device is fully short-circuited, the short-circuit current density (ix) flows through the load, and no net voltage appears across it. No power is dissipated in the external load at short-circuit current and open-circuit voltage conditions. Somewhere between these two extremes lies the maximum power point, at which the system can operate most efficiently. The extent to which photons are absorbed by a semiconductor depends on the photon energy and the band gap of the semiconductor. For the solar spectrum, radiated by the Sun at a temperature of about 6000 K and at a distance of approximately 150 x 106 km from the Earth, the optimum band gap lies in the range between 1-1.5 eV, as shown by Prince (1955), for example. At an imaginary boundary of the Earth's atmosphere and the vacuum of space, the incident radiant power density is about 140 mW cm"2. At the surface of the Earth, the incident power density is reduced because of atmospheric absorption, scattering, and reflection back into space. However, at its greatest intensity (for example, in the desert southwest of the USA), the flux reaches about 100 mW cm-2, although it is usually significantly less than this, as discussed by Raicu etal. (1991). A TPV converter is identical to a conventional solar cell in its operation but the optimum band gap depends on the spectral distribution of infrared radiation from a nearby radiator, rather than from the Sun. However, the essential difference between the two technologies lies in the temperature and distance of the radiator from the converter. For TPV, the practicable range of radiator temperatures is probably limited to 1000-2000 K, but the radiator is placed perhaps only 2 cm from the semiconductor device. Despite the absolute temperature of the radiator being about 3-6 times less than that of the Sun, and despite the fourth-power dependence of radiated power on
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absolute temperature, the power density incident on the device is greatly increased because of the inverse-square law. Thus, the power reaching a device from a radiator at 1500 K could be as much as 5-10 W cm"2, depending on the geometry. This range is equivalent to operating a solar cell under an optical concentration of 50-100 Suns, but without the concentrating optics and solar tracking normally required for solar cells using high-concentration ratios. Assuming that efficiencies comparable to solar cells can be obtained, then we may expect the output power densities to be on the order of several W cm"2. This is one of the main attractions of TPV generation. The spectrum radiated by a surface at 1500 K has its maximum at a much lower energy than that of the solar spectrum, and Wien's displacement law shows that it lies at a wavelength of about 2 fim, corresponding to an energy of 0.6 eV. Optimisation of the band gap of the device (inevitably involving a compromise between Voc and ix) indicates that a range of 0.5-0.7 eV should be appropriate for all practicable radiator temperatures (-1300-1800 K). These estimates are based on empirical models of the reverse saturation current (i0), whereas lower values are obtained when i0 is assumed to be limited only by radiative recombination, as discussed by Shockley and Queisser (1961), whose approach depended on the analysis of radiative recombination developed by van Roosbroeck and Shockley (1954), and subsequently used in the context of TPV by Gray and El-Husseini (1995) and by Cody (1998). The important point about the calculations based on radiative recombination is that they provide an effective upper limit for the performance that would be achieved, given perfect materials and no parasitic losses. Tiedje et al. (1984) made the valuable point that the efficiency of modern research-quality silicon solar cells exceeds that of the empirical calculations, made when the field was relatively young made by Rappaport (1959), and by Wolf (1960). However, it has taken many years of sustained funding to reach this stage, and the same would be required for TPV devices and systems to achieve the same level of performance. In the meantime, band gaps in the above range appear to work well, although there is a trend to lower values as evidenced in the publications by Wilt et al. (1997) and Wojtczuk (1997). In examining the literature on TPV, one quickly finds that a much greater effort has been devoted to fabricating semiconductors and converters with the required band gaps, as well as optoelectronic properties, than to constructing and testing systems. This appears to be changing as the field develops. At the NREL conferences on TPV, edited by Coutts and Benner (1994), Benner et al. (1995), Coutts et al. (1997), and Coutts et al. (1999), the number of publications concerned with TPV systems has increased significantly from the first to the fourth conference. We may expect to see this trend continue, particularly if non-military federal funding for TPV becomes available. The review material discussed in this chapter probably appears, to non-US
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Generation of Electricity
readers, to be heavily biassed in favour of US-based work and the reason for this is simply that the bulk of funding for TPV in recent years originates from within the USA. Yamaguchi and Yamaguchi (1998), however, provided clear evidence that interest is growing in Japan, as did Schubnell et al. (1997), and Broman (1994), for example, for European countries. Thermal management
—> Combustion system
-o Radiator
Sub- banc gap pr otor s
DC electricity
Above-bandgap photons
Photons
Hea
i
Converter shield/Filter
—>
i7 TPV converter
"
—>
Power conditioning
V Electrical power output
Figure 11.1 Schematic of a TPV system with the key components shown.
In designing a TPV generator, attention must be paid to several individual component parts of the system. These include the combustion system, the radiator, the means of optical control (discussed in detail later), the converter, and the recuperator of waste heat. A schematic of generic TPV systems is shown in Fig. 11.1, showing the individual processes from combustion of fuel to power conditioning. An alternative diagram of the linear arrangement of the components is shown in Fig. 11.2. In this figure, the thermal management and power conditioning are also indicated. In the case of the broadband spectrum in Fig. 11.2a, the emissivity is taken as unity and the radiator temperature as 1500 K. The spectral emittance of the selective radiator is taken from a paper by Lowe et al. (1994) for mixed rare earths. Notice that the emittance in Fig. 11.2 is in absolute units whereas it is relative in Fig. 11.2b. To compare these, the spectral emittance data should be convoluted with that from an appropriate blackbody spectrum. Ideally, the components in a TPV system should be optimised collectively, although this has seldom been done. To maximise the efficiency2 of the system, a selective radiator is likely to be used, but to maximise the electrical power output a broad-band system would probably be used.
" Throughout this chapter, we shall use the term efficiency in several different ways. The efficiency of a TPV cell is equal to the electrical power out divided by the optical power absorbed. We do not express it in terms of the 'optical power incident' because it is generally considered that an optical control element will be used to return unusable photons to the radiator.
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Ultimately, development of high-performance systems will involve teams of engineers with collective experience in all required areas. Generally, individual researchers and groups focus on that component with which they are most familiar. To date, this has mainly been the radiator, the optical control element and the converter. This chapter will discuss relatively recent work on each of these components, with an emphasis on the sub-bandgap photon reflection and the semiconductor converter, as well as briefly reviewing the projected and actual performance of some systems.
Black-body radiator at 1500 K
40% Er: 1.5% Ho-YAG selective radiator
Re-circulated subbandgap photons
Re-circulated subbandgap photons
Low-bandgap converter
Spectrally-matched converter
Sub-bandgap photon reflector
Sub-bandgap photon reflector
0.5
1
1.5
2
Wavelenath/um
(a)
2.5
! 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3 3.2 Wavelenath/um
(b)
Figure 11.2 Schematic diagrams of generic TPV systems showing (a) a broadband and (b) a narrow-band radiator-based system. The choice of band gaps is strongly influenced by the type of radiator used. The ideal selective radiator would not radiate outside the characteristic emission band and would not require a component to reflect the sub-bandgap photons.
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11.2 Radiators The radiator in a TPV system is heated by a fuel such as those mentioned earlier. Its temperature governs the radiated power density, as defined by Planck's law. While the radiation from a flame may be somewhat erratic in intensity, because of fluctuations in temperature etc., the hot surface will radiate relatively uniformly. This is critical so that the intensity received by the semiconductor converter is also uniform and constant with time. Figure 11.2 shows that the radiator lies between the source of heat and the converter. All surfaces at a temperature above absolute zero radiate energy. The spectral dependence of the radiated power density (measured in W cm"2 /rnf') is given by Planck's law, which includes the absolute temperature and the emissivity of the surface. Blackbody and greybody radiators have emissivities that are independent of wavelength across the entire spectrum. The former has an emissivity of unity whereas the latter has a constant emissivity of less than unity. The welldefined intensity makes it relatively straightforward to calculate the optimum band gap of the semiconductor. The broadband radiator approach requires an optimum band gap in the range 0.5-0.7 eV, as will be shown later. Certain materials, such as the rare earth oxides, radiate in relatively narrow bands of wavelengths and, for these, the band gap of the semiconductor is chosen to match the emission 'band of the radiator.
11.2.1 Broadband radiators The selection of optimum band gap for a broadband irradiance, depends on optimising the product of short-circuit density and open-circuit voltage. At lower band gaps, the former increases, whereas the latter increases at higher band gaps. When the determination has been made, it is found that many of the incident photons have below-band-gap energies and are, therefore, not useful to the converter. Based on this reasoning, Fig. 11.3 shows the percentage of convertible flux as a function of converter band gap, with the radiator temperature being treated parametrically. Clearly, the percentage increases as the band gap decreases and the radiator temperature increases. However, Fig. 11.3 also shows that silicon, with a band gap of about 1.14 eV, combined with a radiator at 2000 K, can only convert about 15% of the incident flux. Even though silicon cells are supposedly low-cost, this makes the point that their performance could only ever be modest, when used with a broadband radiator.
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Band gap of converter (eV)
Figure 11.3 Percentage of convertible photon power from blackbody radiators at the temperatures shown as a function of the band gap of the converter.
Practical broadband radiators Silicon carbide is useful as a broadband radiator because it has an emissivity of about 0.9-0.95 that is essentially independent of wavelength, as shown by the data of Pernisz and Sana (1994). It does not melt until a temperature of above 2000 K, which is probably above the practical temperatures envisaged for radiators.
11.2.2 Selective radiators As mentioned above, only a small percentage of flux radiated from a blackbody is convertible by a silicon cell. There are several incentives for developing selective radiators with relatively narrow emission bands. In the broadband spectrum, there is a large proportion of flux at sub-bandgap wavelengths. The long-wavelength photons are not usefully absorbed by the semiconductor, and they do not contribute to the electrical output of the device. In fact, they may be absorbed by free carriers already in the conduction or valence band and cause heating of the device, thereby reducing device performance. Likewise, the short-wavelength photons exceed the band-gap energy, which also causes heating of the device because of thermalisation of hot carriers. In principle, selective radiators should eliminate both of these deficiencies. Principles of selective radiators The chemical and physical properties of elements depend on their outermost (valence) electrons. If all electron sub-shells are
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completely filled, then the element is one of the inert gases. If there is only one selectron in the outer orbital and no other partially filled sub-shells, then the element is, in general, metallic. For most elements with lower atomic numbers, the filling sequence of the electron sub-shells is relatively simple but, for the heavier elements, there are options that offer lower energy configurations than the apparently simplest sequence, which is important to the rare earth series of elements. The lanthanide series is usually defined as the elements from cerium (58) to lutetium (71). The characteristic valence of the elements is three throughout the series because the 6s2, the 5d\ and either one or two of the 4/electrons are the outermost shells not already completely filled. Thus, Ce3+, with one 4/electron, has the same valence as Lu3+, with fourteen 4/ electrons. With lanthanide ions, the valence electrons are no longer present, and the optical properties of the compounds are dictated by the 4/ electrons via/-/transitions. The 4 / electrons lie within the orbit of the filled outer sub-shells of 5s and 5p6 electrons of the [Xe] core. These outer electrons screen the inner 4/ electrons electrically. The screening prevents the 4/ electrons from interacting with other ions in the solid, which prevents the formation of energy bands. Hence, even lanthanide ions in solid matrices that have formed bonds to oxygen, for example, radiate individually more like the ions of a gas than a typical broadband solid. When such materials are heated, the emission spectra consist of relatively sharp lines in a limited portion of the spectrum, rather than being like a blackbody spectrum, because bands are unable to form. This phenomenon was first exploited by Auer von Welsbach (1896) in the Coleman-type lantern. In this case, the mantle consisted of thoria mixed with a precise amount of ceria. When heated, this material radiated in the central portion of the visible spectrum. Practical selective radiators The selective radiator (the lanthanide ion) is usually incorporated in a host material, an example of which is a rare-earth atom incorporated in a matrix of yttrium aluminium garnet. Unless the combination is well-designed, the radiative properties of the host can dominate the combination. Pioneering work on the emissive properties of the rare earth oxides was performed by Guazzoni (1972), who recognised the need to characterise the optical properties of these materials at high temperatures. Nelson (1992) realised that the background radiation, which is usually blackbody (or greybody) in nature, could be suppressed by making the thickness of the material less than its optical absorption depth, which is typically about 100500 fim thick. It is necessary to do this to achieve the high degree of selectivity of photons with energies approximately equal to the band gap of the converter, thereby optimising the efficiency. There is also very little thermal radiation from materials
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less than this thickness. For significantly lower thicknesses, the selective radiator properties are excessively suppressed. For greater thicknesses, the background radiation and internal scattering becomes excessive. The problem of producing such a thin radiator was solved by making bundles of fibres of a fabric impregnated with a solution of the lanthanide salt of interest. Thinfilm approaches have also been explored and will be discussed later. Most work was done on fibres of Yb 2 0 3 , but Er 2 0 3 and Ho 2 0 3 were also used. The fibre was dried and then heated to high temperature to remove the fabric and to oxidise the rare earth metal; the remaining structure consisting only of rare earth fibres. These were supported by a ceramic substrate, and inserted in bundles into holes in the latter. Fuel was fed through the holes from the rear of the substrate and burned just below the tip of the fibres, rather than near the substrate. This arrangement minimised the background blackbody radiation from the substrate. Approaches based on radiators made in similar ways have been developed in recent years and are still benefitting from significant federal funding in the USA. Reports on the topic are found in the NREL conference proceedings by, for example, Nelson (1994), Chen et al. (1996) and Goldstein et al. (1997). Another interesting approach developed by Lowe et al. (1994) from the NASA Lewis Research Center was based on films of thickness about equal to the absorption depth of the radiator materials, Yb 2 0 3 , Er 2 0 3 , and Ho 2 0 3 . However, instead of fibres, the oxide was incorporated in a thin film of yttrium aluminum garnet (YAG), a material widely used in laser technology, the film thickness of the YAG being substantially less than the absorption depth. The emissivities at the peak of the emission band reached about 80%, but the off-band emissivity was undesirably high at about 20%. Figure 11.4 shows the variation of the integrated emissivity with the thickness of an erbium-doped YAG film. Clearly, there is considerable scope for further improvement, which is expected in the near future. A successful radiator will lead to an increase in system efficiency, because of reduced fuel consumption, or to a higher power density output for the same fuel fuel consumption, because of a higher radiator temperature.
11.3 Optical control elements As mentioned earlier, there is a significant proportion of sub-bandgap photons in the broadband spectrum of radiators at temperatures in the 1000-2000 K range. In the next section, we shall discuss optimisation of the semiconductor converter band gap but, anticipating the results, these are in the range 0.5-0.7 eV. Figure 11.3 showed
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0.6 0.5 o | 0.4 (d
I 0.3 >
I
02
LU
0.1 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0.18 Radiator film thickness/cm
0.2
Figure 11.4 Variation of the integrated emissivity of erbium-doped YAG films as a function of film thickness, with the radiator temperature being treated parametrically.
that, even with a band gap of 0.5 eV, at least 50% of the photon flux is sub-band gap for a radiator of 1500 K. If this fraction is included in the calculation of efficiency, the result is discouragingly low, at about 8-10%. Consequently, it is vital to return the sub-bandgap photons to the radiator, to minimise fuel consumption. In this section, we shall briefly describe the methods that have been used to achieve the re-circulation of the sub-bandgap photons.
11.3.1 Dielectric stacks An ideal filter, used in conjunction with a broadband spectrum, would have a transmittance of unity up to a wavelength equivalent of the band gap of the semiconductor, and a reflectance of unity for all wavelengths above this. Alternatively, a very narrow band-pass filter centred at a wavelength roughly equivalent to the band gap could be used, although this would result in a lower power density output, because the incident optical energy would necessarily be limited to the bandwidth of the wavelengths passing through the filter. These filters depend on interference between rays reflected from the front and the back of the films. Filters with almost two hundred individual layers may be designed (using standard software design packages such as TFCalc™3), but fabricating them may be both practically 3
The email address of the company Software Spectra, Inc. that sells TFCalc™ is [email protected].
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difficult and expensive, because of the close control that must be maintained over film thickness, film density and interface coherence. Given that it will eventually be necessary to fabricate large areas of converters to generate significant amounts of energy, the problem may be excessively difficult. Clearly, a compromise must be achieved between performance and cost. In addition, the larger the area, the greater will be the distribution of angles of incidence of the radiation from the source on its way to the converter. Although these may seem to be insurmountable difficulties, it must be remembered that thin-film filters are used effectively in infrared detector technology. If the application is not highly cost-sensitive, then dielectric thin-film stacked filters may be feasible.
11.3.2 Plasma filters Investigations into plasma filters have been conducted by many researchers, such as Coutts et al. (1996), and the theory was originally proposed by Drude almost one hundred years ago. More modern and detailed explanations are given in many text books, an example of which is that by Born and Wolf (1985). The basis of these filters is that the electrons in a conductor are set into oscillatory motion by the electric field component of an electromagnetic wave. Their behaviour may be described by a linear differential equation of motion, the solution of which gives the time-dependent position and velocity of the electrons. The velocity then gives the AC conductivity of the material as a function of the effective mass, scattering time and density of the electrons, and the high-frequency permittivity of the material. The real and imaginary parts of the permittivity may then be calculated, and they give the optical constants of the material as a function of frequency or wavelength. Using these, it is then possible to calculate the optical constants of the material. From these, and an appropriately chosen film thickness, it is straightforward to calculate the reflectance, transmittance and absorptance as functions of wavelength. This elementary theory was compared with practical results for cadmium stannate (CTO) by Mulligan (1997) and the agreement was amazingly good for such a simple, single oscillator, approach. The key conclusion of the modelling studies is that a high electron mobility is essential to achieve high-performance filters. Without high mobility, both the selectivity of the filter and the free-carrier absorption are non-ideal. Figure 11.5 shows the modelled variation of free carrier absorptance with wavelength and mobility. The rate of turn-on of the filter with increasing wavelength in the transition from high transmittance to high reflectance, also improves with mobility. The transition occurs in the vicinity of the resonance and is due to the changing phase
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of the oscillating electrons relative to the electric field. This feature is also predicted by the simple Drude theory. At the peak of the absorptance, the free carriers are exactly in phase with the electric field vector i.e. the phenomenon is one of resonance as opposed to the increase to a more-or-less permanent high absorptance at the fundamental band gap. The wavelength of the resonance is designed to be slightly longer than the wavelength-equivalent band gap of the semiconductor to ensure that all higher energy photons are absorbed by the converter cell. 25 u = 100 cm* v " s" u = 500cmV's"'
20
u= 1000 cm V~'s"' 0 = 2000 cm \T' s"'
a 9-
8 10 < 5
0 0
•n'l 11111117 n~i 1 r 1 I~I 111 i i 1 r• irr -n-M-^-;2 4 6 8 10 12 14 16 18 20 Wavelength//ym
Figure 11.5 Modelled variation of free-carrier absorptance with wavelength, the mobility u being treated parametrically. The free-carrier concentration is taken as 3 x 10'° cm"'. M o r e recently, similar work has been performed on Ino.53Gao.47As, which is
lattice-matched to InP. This material can be doped heavily /i-type (up to about 1020cn-f3) and still retain a very high electron mobility, as discussed by Charache et al. (1999). This is possible because the effective mass of electrons in this material is low (~0.05»ic), which ensures high mobility, at least for material of reasonable quality. For carrier concentrations as high as 1020 cm"3, the mobility can be as high as 1000 cm2 V - ' s~' at 300 K, as discussed by Eastman (1993). A carrier concentration of 1020ctrf causes the plasma edge to appear at about 3 ftm, and the high mobility ensures extremely good selectivity and minimal free carrier absorption. At wavelengths longer than that of the plasma edge, the reflectance remains high (about 95-100%). The reduced effective mass is also low, thus ensuring a large BursteinMoss shift, because the available states at the bottom of the conduction band are filled very rapidly once the carrier concentration exceeds the degeneracy limit. Thus, for a
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carrier concentration of 1020cirf3, the optical band gap increases from the fundamental band gap of 0.73 eV, for non-degenerate material, to around 1.5 eV. This is equivalent to a wavelength of 0.8 \im, which is small enough to ensure essentially total transmittance of photons in the range 0.8-3 Jim. Meanwhile, photons with a wavelength greater than 3 pm are reflected by the front-surface Ino.53Gao.47As plasma filter. Modelling of these two systems (CTO and Ino.53Gao.47As) shows that the latter should perform far better than the former. However, these calculations assume that the states that are filled all appear in the same band, rather than spilling over to a nearby indirect band. Additionally, the back-surface filter, to be discussed in Section 11.3.4, appears to perform at least as well. Other materials are also being investigated.
11.3.3 Resonant array filters A band-pass filter can be made using a resonant antenna array, and was originally developed for use with sub-millimetre waves, these application having been discussed by Rhoads et al. (1982) and Tomaselli et al. (1981) and further developed by Home et al. (1980) specifically for solar and TPV applications. The filters are based on a dense array of thin-metal-film antennae deposited on a dielectric substrate, with the array consisting of either metal crosses or crosses etched in a metallic film. An array of crosses etched in a metallic film has the electrical characteristics of an inductive filter, whereas an array of metal crosses deposited on a dielectric substrate behaves like a capacitive filter. Inductive and capacitive filters give a band-pass or a band-reject function, respectively. Oscillating currents are induced in the filters by interaction with electromagnetic radiation of wavelength comparable with the dimensions of the filter. The magnitude of the electric field is different at different points on the surface of the filter, which leads to circulating currents. The magnitude of the transmittance is a function not only of the dimensions of the antennae, but also of their density on the substrate, of the conductance and thickness of the metal film, and the dielectric and optical properties of the substrate. The transmittance of the filter may be calculated by representing it by an AC equivalent circuit, an approach first discussed by Whitbourn and Compton (1985). These filters have the interesting property that they transmit only in a narrow band. Photons of both longer and shorter wavelengths are reflected back to the radiator. Originally, the arrays were made using direct-write electronbeam lithography, although this was slow and expensive. More recently, they have been made using a silicon stencil, fabricated using masked ion-beam lithography, and through which the metallisation was deposited. The stencil may be used many times as a mask over a gold film in which the array of micron-sized antennae is etched
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I 40 E c 2 H
20
0
0
1
2
3
4
5
Figure 11.6 Variation of transmittance with wavelength of a resonant antenna array filter. This filter was designed for use in a radioisotope-fuelled TPV system. From Home et al. (1992).
using a proton beam. With this approach, it is claimed that the arrays can be made for under $1 cm"2. The performance of a typical filter is shown in Fig. 11.6. The transmittance within the required band is less than desirable, although improvements are being made through better edge resolution of the etched features and other means.
11.3.4 Back-surface optical reflectors Back-surface reflectors (BSR) were first used in connection with silicon devices by Borden (1980) and gallium arsenide devices by Boettcher et al. (1982). The principle is that the photons with sub-bandgap energies pass straight through the active layers of the device, and the substrate, which is semi-insulating (SI). The substrate does not absorb sub-bandgap photons because there are no free carriers to do so. The back of the substrate is metallised with a specular metal mirror that reflects the photons back through the substrate, the device layers, and out of the cell. The photons that have near-band-gap energy are thereby given a second opportunity for absorption, of possible value to devices with indirect band-gap converters. The photons with significantly less energy than that of the semiconductor band gap are still not absorbed on the second pass and they are returned to the radiator, from which they originated. This achieves the desired recirculation of the sub-bandgap photons. Ward et al. (1997), and others including Fatemi et al. (1997a) and Wilt et al. (1997), used the same concept in the development of low-band-gap TPV devices. These were based on semi-insulating InP substrates and consisted of a lateral conduction layer,
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T. J. Coutts
followed by grading and device layers. These were In/ja^As, with x chosen to give a band gap of about 0.6 eV. The devices had lattice-matched Iny\si_yP window layers with band gaps of ~1 eV for electronic passivation, thus forming a fully passivated double heterojunction. All layers were grown using atmospheric pressure organometallic chemical vapour deposition (OMCVD), as outlined by Wanlass et al. (1998).
11.3.5 Summary of optical control approaches Each of the filters discussed has scope for improvement in performance, although each has already been incorporated, partially successfully, in prototype systems. It seems unlikely that cadmium stannate, or indeed any plasma filter based on a transparent conducting oxide, will be able to achieve the required free-carrier mobility. However, it may be possible to achieve this mobility using a degenerate single-crystal semiconductor such as In/ja^As. Although it is possible to design and fabricate dielectric stacks that exhibit the required optical functionality, such designs are probably costly to make in large area, as well as being sensitive to variations in angle of incidence, film thickness and specularity of the interfaces. In fact, on the basis of a Lambertian distribution of angles of incidence, it is necessary to design the filters for the average angle of incidence. Combinations of plasma and dielectric filters have been used successfully and may be less prone to these variations. Resonant array filters do not appear to be as costly as expected to fabricate. More complicated multilevel structures may be made that can result in improved transmittance and narrower bandwidth, but Chan (1995) pointed out that improvements in edge resolution are also required. In principle, the narrower bandwidth of the resonant array filter should be ideal because it would eliminate thermalisation of hot electrons, as well as free-carrier absorption of sub-bandgap photons. However, it is vital to ensure that sufficient power is contained within the transmitted band to yield adequate power density output from the device. The filter is essentially a means of converting a broadband into a narrow-band spectrum, equivalent to that emitted by a selective radiator. At present, the back-surface reflector appears to have the best near-term prospects for success, given the results already achieved. On the other hand, it is vital to maintain a high degree of specularity at the metallic back surface on the semi-insulating substrate. A high degree of parallelism between the front and back surface must also be maintained to avoid trapping sub-bandgap photons by reflection within the semiconductor substrate. The function of the back-surface reflector is not to increase the optical path length and optical absorption, but to reflect the sub-bandgap photons back to the radiator. Light
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entering the cell at a non-normal angle from between the grid lines has a high probability of being trapped by multiple reflections between the back-surface reflector and the grid lines themselves. In addition, total internal reflection from the surface of the semiconductor is also an important issue.
11.4 Device modelling The approaches reviewed in this section were developed by Cody (1998) (who considered devices limited only by radiative recombination i.e. the principle of detailed balance originally developed by van Roosbroeck and Shockley (1954), and used in predicting maximum efficiencies of solar cells by Shockley and Queisser (1961), by De Vos (1992) (who treated the converters as endoreversible heat engines), and by Gray and El-Husseini (1995). In addition, we also review the work of Wanlass et al. (1989) (who used an empirical approach based on measurements of the reverse saturation current of many devices as a function of band gap). The latter approach was based on an empirical equation relating the reverse-saturation current density of the device to its band gap. The conclusions obtained from each of these approaches could be useful in designing future-generation devices, and they are briefly reviewed in this section.
11.4.1 Radiative recombination Recombination refers to the process by which a photogenerated carrier returns to the ground state. This may occur via defects in the semiconductor crystal such as point defects, grain boundaries, vacancies, interfaces and surfaces, within the space-charge region of a p-n junction, by Auger processes involving three particles, or by direct recombination of excited charges of opposite sign with the accompanying emission of a photon. The latter may or may not generate further electron-hole pairs, a process that is known as 'photon recirculation' (not to be confused with the function of optical control elements described in Section 11.3). To maintain the steady state, the recombination rate of the excess charge must also be equal to the absorbed flux within the absorbed volume. The rate of recombination is inversely related to the concentration of dopants in the semiconductor, with a constant of proportionality known as the B-factor, which is governed by properties of the crystal and was described in detail by Ahrenkiel (1993). The rate of recombination is increased if any of several other possible recombination mechanisms is significant. Radiative
498
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recombination determines the fundamental upper limit on the lifetime of photogenerated carriers, unless they can be extracted before recombination occurs. Tiedje et al. (1984) and Cody (1998) used the theory of radiative recombination to model the limiting efficiency of silicon solar cells and TPV cells, respectively. They showed that this is significantly greater than that achieved with the highest-quality laboratory cells. On the other hand, they made the interesting point that the best laboratory cells now have efficiencies greater than those predicted by the semiempirical models used by earlier workers, to be discussed in Section 11.4.3. An important conclusion may be drawn from Cody and Tiedje (1992), whose argument applied to silicon solar cells. A well-funded, sustained and well-managed effort ought to be made to establish experimental upper limits to the efficiency of TPV devices, rather than to predicting that which may be achievable using present-day methods and approaches. To achieve the very high efficiencies of modern silicon cells, achieved by (for example) Zhao et al. (1995), a long-term program of research and development into materials, as well as device design and technology, has been necessary. The same philosophy could be used to the benefit of TPV. Using this argument, Tiedje et al. (1984) concluded that silicon cells have now reached about 60-80% of the limit predicted by radiative recombination theory. If the same could be achieved for TPV devices, then many more markets could become accessible to TPV generators. This important point was first made by Cody (1998), although the results of Gray and ElHusseini (1995), discussed below, were identical.
11.4.2 Endoreversible heat engines De Vos (1992) developed a generalised theory of endoreversible heat engines and applied it to several devices. The term 'endoreversible' means that the heat engine is fully reversible in its internal processes and connections, the losses occurring only because of external interactions. Two functions were derived initially and these were completely general to any reversible conversion process. These two general equations were then made specific to each device. An arbitrary spectrum may be used, although it is assumed to be a broadband radiator of temperature Temit in the present context. In the analysis of Gray and El-Husseini (1995) the output power density was based on the expression derived by De Vos (1992), an equivalent form of which is
p =
2* «V«, c'h3
r x A\\ 2
iu. exp U /kT „ )
^ )u, exp((£/-<7V mp )/*?;„) JL
(11.1)
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where Vmp is the maximum power point voltage, c is the speed of light, h is Planck's constant, R is the reflectance of convertible photons, U is the photon energy, U6 is the band gap of the converter, and 7"emi, and 7"cen are the temperatures of the radiator and the cell, respectively. Radiation from the cell itself was neglected. The analysis allowed for a view factor (the ratio of the total power received by the converter to that radiated) between zero and unity although it is taken as the unity in eq. 11.1. The model also accommodated reflectance losses of both below- and above-bandgap photons, although these are not included in eq. 11.1. Note that various types of filters may be included in the analysis by changing the magnitudes of the upper and lower limits of the integrals in eq. 11.1.
0.05
0.25
0.45
0.65
0.85
1.05
1.25
1.45
Band gap of converter/eV Figure 11.7 Efficiency of TPV converters limited only by radiative recombination, for various blackbody radiator temperatures and a cell temperature of 33 K. The view factor is taken as unity and it is assumed that no recirculation of sub-bandgap photons occurs.
Figure 11.7 shows the efficiency (derived from eq. 11.1), with no reflection of sub-bandgap photons, for various radiator temperatures. All sub-bandgap photons are assumed to be lost via heating of the support structure etc. The cell temperature was taken as 300 K. The significance of Fig. 11.7 is that a similar maximum efficiency is predicted for a TPV cell as that predicted for a solar photovoltaic cell. Naturally, the optimum band gap is significantly lower but the loss mechanisms are essentially the same. Sub-bandgap photons are not absorbed and above-bandgap photons introduce losses because of thermalisation. The power density outputs are shown in Fig. 11.8 for the same assumptions, and Fig. 11.9 shows the efficiencies for an ideal filter. The efficiency now increases monotonically. The reason for this is that a progressively
500
T. J. Coutis 35 30 25 20 15 10
5 : 0
, , , I i i i n ' T - l - i r & r\ fTrt-BiJCnVrtf
0.05 0.25 0.45 0.65 0.85
1.05
1.25
1.45
Band gap of converter/eV Figure 11.<
Power-density output of converters for the same assumptions as in Fig. 11.7.
0.05 0.25 0.45 0.65 0.85 1.05
1.25
1.45
Bandgap of converter/eV Figure 11.9 Efficiency for a cell temperature of 300 K and a 100% efficient filter, and the same radiator temperatures as in Fig. 11.7.
smaller range of wavelengths is available to the converter. Restricting the range of photon energies minimises thermalisation of excited carriers. Sub-bandgap photons are assumed to be perfectly reflected, in Fig. 11.9, and to be re-absorbed by the radiator. Similar calculations may be performed for a wide variety of assumptions, including that of a realistic filter and view-factor performances. In all modelling work, the cell temperature should be taken as greater than ambient temperature, values of 80-100 C probably being realistic. When this is done, the optimum band
501
Thermophotovoltaic Generation of Electricity
gap increases slightly. In addition, if a finite series resistance is included, the optimum band gap again increases slightly, suggesting that materials such as GaSb may be better matched than lower band-gap materials. Similarly, when mechanisms other than radiative recombination are included, these need to be included in the model. If this were done, the ideal band gap would once again increased, although the magnitude is difficult to predict.
11.4.3 Empirical modelling Modelling of TPV converters performed to date has been highly idealised and has typically made a number of assumptions that are unrealistic practically. For example, most modelling has assumed that all sub-bandgap photons can be returned to the radiator, that there are no parasitic losses due to series resistance or optical reflectance, and that there is no heating of the cell beyond, perhaps, 350 K. It has generally been assumed that the short-circuit current density can be obtained simply by assuming that every photon with U > Ug generates one and only one electron-hole pair, which is collected and delivered to the external circuit. Most modelling, including that considered here, has been concerned with broadband radiators, which are either black or grey bodies. This approach considers only broadband radiators. The emissivity is taken as unity and the quantum efficiency of the device as some number less than unity. In the modelling presented here, it is taken as 0.95. Although this is unreasonable across the entire response spectrum of the device, it again provides an upper limit. For some devices, to be discussed later, external quantum efficiencies are this high in limited wavelength ranges. Thus, the short-circuit current density ix may be expressed as
l^E^nC)^,^)
(H.2)
where
pp^M)--
U
n c
U' exp kT
"• 'emit
-1
(11.3)
502
T. J. Coutts
The reverse saturation current density was obtained using an approximation originally devised by Fan et al. (1982) and subsequently used by Nell and Barnett (1987) to model the performance of GaAs solar cells, and by Wanlass et al. (1989) who fitted the values of i0 for a large number of devices of many band gaps to the empirical equation 'o = Y {Ug )TL exp (-U, /kTemit)
(11.4)
in which the fitting parameter y(Ug) was found by fitting i0(Ug) data and shown by Wanlass et al. (1989) to be y ( i / J = 3.165xl0- 4 exp(2.91^)
(11.5)
where y has the dimensions of A cm-2 K"3. Equations 11.2 and 11.4 are modelled in Fig. 11.10, which shows the log of the reverse-saturation current density and the short-circuit current density as functions of band-gap, and radiator temperature. Radiator temperatures in the range 1200-2000 K were modelled and, as can be seen, the current densities are very high compared with flat-plate solar cell arrays. For a radiator temperature of 1500 K, the theoretical value of J'SC approaches 20 A cm"2 for a band gap of 0.5 eV. The model assumes that all subbandgap photons return to the radiator and the cell temperature was taken as 300 K, which is unrealistically low. The model does not explain the physical origin of the reverse saturation current density, /„. Having obtained the short-circuit current density and the reverse saturation current density, it is then possible to obtain the open-circuit voltage. This is given by the well-known approximation that results from the diode equation as
Voc = ^*7' c e l l ln(i K ! /i 0 )
(11.6)
where /? is the ideality factor. The fill factor of the cell was calculated using an approximation originally devised by Green (1986), which appears to be accurate to within 1%, down to band gaps of about 0.3 eV. The modelling has made successful use of this because the semiconductors involved all have band gaps greater than 0.3 eV. The equation has also been tested by numerical differentiation of the curve of power density versus voltage. The empirical expression for the fill factor is
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Generation of Electricity
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5 300K
375K
0 -5
\
-10
< -j. -15 o1 -20 -25 -30 0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Band gap of converter/eV Figure 11.10 Variation of the logarithm of the reverse-saturation current density and the short-circuit current density with band gap. The ix data were assumed not to be a function of cell temperature, whereas the /„ data were treated parametrically. The data apply to the semi-empirical model.
Kv.-In(v„ + 0.72)
vi; i
(iL7)
^'{VJkT^)
(11.8)
*» = with
The variation of the fill factor and the open-circuit voltage with converter band gap and radiator temperature is shown in Fig. 11.11. These are relatively low voltage devices, although the fill factors still approach those of conventional photovoltaic cells. The expressions for the short-circuit current density, the open-circuit voltage and the fill factor now enable the efficiency and the maximum power-density output to be calculated. These are shown in Fig. 11.12 as functions of converter band gap, with the radiator temperature again being treated parametrically. Although photon recirculation does not influence the power density output, it makes a large difference to the system efficiency and emphasises that a means of photon recirculation is essential in broadband-based systems. In reality, recirculation
504
T. J. Coults
f
0.4
0.5 0.6 0.7 0.8 Band gap of converter/eV
0.9
Figure 11.11 Variation of fill factor and open-circuit voltage with converter band gap and radiator temperature. The temperature of the converter was assumed to be 300 C. The results are derived from the semi-empirical model. 45
16 14
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'
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1 r i r i I l l l l I I T l i l-l-ti- 1-1,1.1 1 1 t T Y ) l - 0
0.3
0.4
0.5 0.6 0.7 0.80.9 Band gap ot converter/eV
Figure 11.12 Variation of the converter efficiency and the power-density output as a function of the converter band gap. The radiator temperature is treated parametrically, and 100% efficient recirculation of sub-bandgap photons is assumed.
is also required in selective radiator-based systems because of non-idealities in the radiator and other constraints. Photon recirculation causes the power density, rather than the efficiency, to pass through a maximum. Without photon recirculation, the peak efficiency would only be about 8-10% for a radiator temperature of 1500 K. The efficiency also passes through a maximum, as shown by Gray and El-Husseini (1995), if the reflectance of the filter is less than unity.
Thermophotovoltaic Generation of Electricity
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For the intermediate range of 1600 K, power density outputs of almost 6 W cm" can be expected. If one assumes that this is a factor of 2-3 times too optimistic because of cell heating and other factors, then outputs of 2-3 W cm"2 seem feasible. These calculations assume that the converter temperature is 300 K. The band gap at which the power density reaches its maximum is relatively independent of radiator temperature and lies between 0.45-0.55 eV. If the converter temperature is assumed to rise to perhaps 350 K, then the optimum band gap also increases, but not by more than 0.05 eV. When series resistance is also taken into account, there is a more significant increase in the optimum band gap. The fact that actual devices have performed more or less as modelled implies that they do not suffer from a series resistance problem. The ideal band gap, predicted on the basis of the semi-empirical model, is significantly higher than that predicted by Cody (1998). This is because the semi-empirical model does not assume any specific model of reverse saturation current density whereas radiative recombination is explicitly specified in Cody's model. The latter also predicts the same optimum band gap (not surprisingly) as the model Gray and El-Husseini (1995) although this was extended to a relatively wide variation of device designs, which included the use of high-pass and band-pass filters. The latter could be used to model a selective radiatorbased cell/filter combination. The distinctions between the two models reviewed above are not radical. The modelled performance based on radiative recombination shows that a much lower band gap is required than that derived from the empirical model of Wanlass et al. (1989). The values are also much lower than those of devices presently under development. Existing activities are based, understandably, on pragmatism rather than idealism! We agree with Cody's sentiment that there should be some work on the development of near-ideal materials, limited only by radiative recombination. Modern silicon solar cells have an efficiency that exceeds values predicted by early quasiempirical models of, for example, Prince (1955). There may be other factors, such as the increasing importance with decreasing band gap of Auger recombination, which has been supported, to some extent, by the work of Charache et al. (1999). These should considered in making a modified estimate of the optimum band gap. At this stage, it is clear that the embryonic TPV community has decided that a semiconductor with a band gap in the region of 0.5-0.6 eV is required for an efficient TPV device, even though the grounds for this are mainly empirical rather than fundamental. This range of band gaps does not correspond to any of the common binary materials (such as InP or GaAs). Consequently, it is necessary to consider the possibilities carefully. At the time of the Third NREL TPV Conference, none of the materials discussed appeared to have a commanding advantage in actual devices.
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T. J. Coutts
11.5 Potentially suitable materials Figure 11.13 shows the well-known diagram of energy gap versus lattice constant for some of the III—V binary and ternary compounds and alloys. The figure indicates that to obtain the required band gaps, relatively unfamiliar materials must be used. The only exception to this is GaSb, which has a band gap of about 0.7 eV and has been used effectively by Fraas et al. (1997b). Note that the majority of the compounds and alloys in this diagram have direct band gaps, implying that very efficient absorption of light is expected. In turn, this may imply that the required thicknesses are less.
>
I. a>
>.
i 5.8
6.0
6.2
Lattice parameter (A)
Figure 11.13 Diagram of the band gap vs. lattice constant of various compounds and alloys from the IIIV semiconductor family. The solid lines indicate direct band-gap materials and the dashed lines indicate alloys that have indirect band gaps.
Wanlass et al. (1998) and Wilt et al. (1998) grew IntGa!_,As in the appropriate band-gap range (*~0.53 for a band gap of 0.73 eV and an alloy that is lattice-matched to the InP substrate, whereas .C--0.68 for a band gap of 0.6 eV and an alloy that is lattice-mismatched to the substrate) by growing it In-rich (lattice-mismatched) on an InP substrate. This configuration means that the layer is in biaxial compression, and when the concentration of indium is sufficiently large, dislocations form to relieve the strain. These dislocations can impair the performance of the device, and Wanlass et al. (1994) found that when the band gap was decreased to 0.5 eV, the performance
Thermophotovoltaic Generation of Electricity
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deteriorated severely. However, rapid progress is being made to correct this problem, as was reported at the Fourth NREL TPV Conference by Wanlass et al. (1998), Fatemi et al. (1998), Khalfin et al. (1998) and Wang et al. (1998). The latter two groups of workers fabricated diodes from the quaternary alloy GaJni^As^Sbi.y. As seen in Fig. 11.13, this can be grown lattice-matched on either a GaSb or an InAs substrate with the desired band gap. In the former case, the values of x and v are 0.198 and 0.444, respectively, for a band gap of about 0.5 eV, lattice-matched to the GaSb substrate. In principle, the GaSb substrate is transparent to the sub-bandgap radiation (at least to the extent that it does not exhibit radiative transitions), and back-surface reflection may therefore be feasible. In practice, semi-insulating wafers of GaSb cannot be grown. However, the devices reported at the Third NREL TPV Conference did not appear to exhibit sufficiently improved performance over the latticemismatched devices to justify the additional complication of a fourth element. The situation at the time of completing this chapter (April 1999) appears to have changed somewhat, based on papers presented at the Fourth TPV Conference. Devices based on the quaternary alloy are discussed later in this section. As discussed earlier, one of the approaches being investigated for photon recirculation is the use of a back-surface reflector. This is not presently possible with a GaSb substrate because it is not possible to fabricate GaSb in a semi-insulating form. On the other hand, the use of Bragg reflectors and other approaches, suggested by Shellenbarger et al. (1997), have yet to be exploited. In the view of the author, the justification for the additional complexity of the lattice-matched quaternary alloy compared with the lattice-mismatched ternary alloy, is still somewhat marginal. However, this situation may change and there is some evidence, provided by Charache et al. (1999), that it is already doing so. None of the semiconductors in the II-VI family has yet been used. Although polycrystalline semiconductors are unlikely to perform as well as single crystals at the relatively high fluxes experienced by flat-plate solar cells, there is evidence that their performance may improve disproportionately with intensity, as discussed by Wanlass et al. (1991), possibly because of the saturation of recombination centres. There are many possibilities that could be useful, and further expansion of the field may stimulate investigation of some of these.
11.5.1 Discrete devices and monolithically interconnected modules (MIMs) TPV conversion raises a number of interesting issues, including very high current densities. This can be potentially disadvantageous, without high-quality device
508
T. J. Coutts
design. Ideally, one would prefer to work with a low current/high voltage device rather than the opposite situation. This is because high current densities, coupled with even relatively modest series resistance, can lead to a significant voltage loss, particularly for devices that already have a low operating voltage (owing to their low band gap). Many discrete devices reported to date have been of relatively small area (less than about 5 mm on a side), and these are not badly affected, but devices with areas of about 1 cm2 may have greater problems. Series resistance is measured in units of Q cm2, and is the slope of the current density vs. voltage characteristic at zero bias. It is therefore divided by the current density to obtain the voltage drop due to internal losses. The source may be the external contact (unlikely to be a major problem because of the small band gap), the semiconductor itself (again, unlikely for low-resistivity semiconductors), spreading resistance losses in the emitter (a significant possibility for thin emitters), and losses associated with the grid. A total series resistance of only about 10' Qcm 2 , together with an operating current of several A cm" , implies that several tens of millivolts would be dropped. Given that the operating voltage is likely to be about 200-300 mV, this would be very significant in practice. Charache et al. (1995) showed that series resistance needs to be less than about 5 x 10~5 Q cm2. Clearly, it is important to minimise this quantity. Heating of the devices also has the potential to mar performance: the reverse saturation density increases very rapidly with temperature for these low-band-gap materials, leading to decreases in both fill factor and open-circuit voltage. Hence, either active or passive cooling is invariably required. Given that a TPV converter is a high-current, low-voltage device, a converter usually consists of series-connected strings of discrete cells. The top contact of one cell is connected to the back contact of the adjacent cell, and the operating voltage of the string is simply equal to the sum of the individual voltages of each of the cells. The operating current is, however, equal to that of the lowest current cell in the string. The process of interconnecting cells is presently done by hand, which is timeconsuming, expensive, and decreases yield. It does not, however, appear to be a severe limitation on the functionality of the strings, as shown by Fraas et al. (1997a). It may be desirable, however, to decrease the current generated by individual cells by reducing their area, in which case the series resistance may decrease if it is dominated by the metal finger interconnects. The opposite may happen if it is dominated by contact resistance. An alternative that overcomes some of the above disadvantages is the monolithically integrated module (MIM), developed for GaAs solar cells by Borden (1980), used for laser power beaming by Wojtczuk et al. (1994) and for TPV applications by Fatemi et al. (1997b) and Wilt et al. (1997). The MIM consists of a
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series of sub-cells, etched from the original semiconductor stack of layers. The current of the string is reduced in proportion to the number of sub-cells, and the voltage is increased by the same factor. In the design developed by Wilt et al. (1997), a semi-insulating (SI) InP substrate was used, with the device structure being grown by organometallic vapour phase epitaxy (MOVPE). This idea was first used in conjunction with silicon solar cells as long ago as 1978 by Scott-Moncke (1978) (with reference to a publication in 1976). An infrared reflector was deposited on the back of the SI substrate to reflect above-bandgap photons, and give them a second opportunity to be absorbed in the device. In addition, sub-bandgap photons may be returned to the radiator from the back-surface reflector, as discussed earlier. A lateral conduction layer (LCL) was grown first and was followed by the active layers of the device, which was a p-on-n construction. The bus-bar of one cell was connected to the LCL of the adjacent cell by depositing an insulator, to protect the edges of the cells, and metal film interconnects. The individual cells were isolated from each other by etching through to the SI substrate. In this way, the process of laborious interconnection was eliminated, with potential production benefits to yield and cost. The problem with this design is that the LCL carries all the current and contributes significantly to the series resistance. However, the design of the LCL involves a delicate compromise between optical and electrical losses. Although it is desirable to increase both the LCL thickness and doping density, doing so increases optical losses. On the other hand, decreases in either thickness or doping increase electrical losses. To overcome this limitation, Ward et al. (1994) developed the design shown in Fig. 11.14, that also utilised a back-surface reflector and monolithic integration of the devices and incorporated the SI substrate suggested by Wilt et al. (1997) and a variation of monolithic integration. This was grown on a SI InP substrate and the LCL was used. However, the essential difference between this design and the others is the interdigitation of the grid fingers. Notice that troughs are etched in the structure so that the grid fingers on the top of one cell are deposited in the troughs of the adjacent cell and make contact to the back of this. Only two sub-cells are shown in Fig. 11.14a, but the strings may be continued indefinitely. The beauty of this design is that the current is carried via the very low-resistivity metal grid fingers, rather than via a relatively high-resistivity LCL. The current now needs to spread sideways by only the width between adjacent grid fingers. Thus, series resistance losses due to the LCL may be minimised by choice of the grid design. Figure 11.14b shows a scanning electron micrograph of the trench area of two adjacent sub-cells, with metal finger interconnects crossing the isolation trench between the sub-cells. Fabrication of the interconnects is facilitated by the etching characteristics of the InP. Parallel to the growth flat, a dove-tail profile is formed. Perpendicular to the major growth flat, a
T. J. Coutts
510 Back-contact bus-bar cell A
Back-contact finger cell A
Top-contact gridfinger cell B
Top-contact bus-bar
/
Top-contact gridfinger cell A
Grid-linger interconnect (GFI)
5
Back-contact gridfinger cell B
(a)
V
sob
(b) Figure 11.14 (a) A schematic of the interdigitated grid design used to connect the top of one cell to the back of the adjacent cell; (b) an electron micrograph of an actual device.
tapered profile results. This characteristic may be used very advantageously when depositing the insulating Si0 2 and metal layers, because the overhang acts as a mask above that part of the trough in which no metal must be deposited. Since the time of the Third NREL TPV conference, there has been a drive towards reducing the band gap of the InGaAs semiconductor by increasing the atomic
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proportion of indium and moving into the lattice-mismatched domain. As mentioned earlier in this section, the progress has been startling, and the properties of the mismatched materials continue to be impressive, despite the extent of the mismatch. In one test, nine 1-cm2 MIMS were connected in series. Each MIM consisted of nine sub-cells and generated in excess of 3 V. The string of nine MIMs gave an opencircuit voltage in excess of 30 V, and the active area occupied by the grid fingers was less than 15%. Table 11.1 Performance of lattice-matched InGaAs nine-subcell MIM devices isc (A cm"2)
Operating temperature (C)
(volts)
16.9 32.6 60.6
3.62 3.47 3.32
0.907 0.948 0.991
Fill factor (%) 72.04 70.40 67.07
Power density (W cm-2) 0.292 0.284 0.257
Source: Warderal. (1997).
Although this would be large for a one-Sun solar cell, it must be remembered that the current density is much larger for TPV devices. Electrical performance of the lattice-matched MIMs was measured for various operating temperatures under a simulated 1000 C blackbody spectrum. Table 11.1 shows the data. The results indicate that, even for these relatively early devices, the power output approached 0.3 W cm-2 for a single MIM. For higher radiator temperatures and increased current densities, the problem becomes even more severe for the conventional approach, and the interdigitated MIM approach becomes even more attractive. Although the advantage may be marginal for a radiator temperature of 1000 C, it would be commanding at 1500 C, at which the current density is far larger. Since the time of this publication in 1994, substantial improvements in TPV MIMs have been made by, for example, Fatemi etal. (1998). The early MIM developments were based on lattice-matched Ino.53Gao.47As with a band gap of 0.74 eV, which is somewhat too high to be ideal for converters operating with relatively low-temperature radiators, at least according to the empirical model discussed in Section 11.4.3. Evidence of continued progress in semiconductor converters is to be found in the Proceedings of the Fourth NREL TPV Conference, but suffice it to say, performance of the converters is excellent, even if the underlying reasons are not fully understood. The devices seem unlikely to present a critical obstacle, at least to the development of first-generation systems. Another issue to be considered is that the converters are likely to be operating at somewhat elevated temperatures, which would require slightly higher band gaps than those modelled for a device temperature of 25 C.
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11.6 System modelling The generic TPV system, as shown in Fig. 11.2, consists of a source of heat, a radiator, a semiconductor converter, an optical element to recirculate sub-bandgap photons, a cooling system, and a thermal recuperation system, that transfers waste heat removed from the cell and from the structure of the system, into heating the input fuel. The simplest system consists of a parallel-plate array of a radiator and converter, the space between these possibly being as little as 2-3 cm. This forms what is often referred to as 'the cavity'. To prevent the loss of photons from the sides of the cavity, the structure must be enclosed within a housing, the sides of which may be polished to reflect photons that may otherwise have been lost to parasitic absorption within the cavity. The optical control element may be based on any of the approaches discussed earlier. Other radiator/converter geometries have been considered and, in particular, the concentric form has been well investigated. This has the advantage of having a higher view-factor than the parallel plate geometry. The radiator may be either blackbody (more generally, broadband) or selective. A cross-sectional diagram of a concentric radiator/converter system is shown in Fig. 11.15. This is manufactured by JX Crystals, Inc. and the design was discussed by Fraas et al. (1998). This particular model is known as the Midnight Sun® and it was designed to generate about 20 W of power for maritime applications, such as communications on sailing boats. In this, the essential features of a TPV system are shown, including the semiconductor converter, a quartz shield that acts as the sub-bandgap photon recirculation element, cooling fins, air intake and the exhaust. Notice that these features are common to both broadband and selective radiator systems. The sub-bandgap reflection element is used in a selective radiator system because the radiator materials do not behave ideally, having a significant emissivity at wavelengths both less than and greater than the nominal centre-wavelength of the emission band. Since TPV was first conceived in the 1960s, much effort has been devoted to modelling the performance of discrete TPV semiconductor converters, but less to modelling complete systems. The papers reviewed in this section all deal specifically with complete systems and take into account the non-ideal performance of individual components. Most modelling has assumed ideal component performance, although in practice there are additional losses that are more difficult to take into account in analytical models. Ballinger et al. (1998) discussed a powerful development in the statistical modelling of a TPV system. This work was also presented by Gethers et al. (1997) at the Third NREL TPV Conference. The approach overcame a number of the historic limitations mentioned above. The model used a Monte Carlo approach to simulate the
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Rami
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Rocmheet
CLarlz shield TFV array
Figure 11.15 Cross-sectional view of the Midnight Sun® manufactured by JX Crystals, Inc.
history of millions of photons emitted by the radiator, finally to be absorbed by the TPV array or elsewhere in the cavity. The latter consisted of a radiator that was parallel to the TPV array, the cavity being completed by vertical, reflecting walls. The Monte Carlo code recognised the possibility of, and incorporated, a temperature gradient across the surface of the radiator. The temperature profile was assumed to be parabolic, although, at the time of their paper, Ballinger et al. (1998) this assumption had not yet been confirmed. The program sampled the emission of photons from the radiator: the properties considered included their number, position, energy, state of polarisation and direction of emission. Each of these quantities was sampled according to Planckian considerations of numbers and energies to avoid violating conversation laws. The code provided an output of the fraction of photons of energies greater or less than the band gap that would be absorbed or not absorbed by the array. This was converted to an absolute heat flux by multiplying by the total numbers of photons, or the total energy radiated. The radiated heat flux was determined by the parabolic
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temperature profile, which was fixed by the difference between the temperatures at the centre and the corner of the array and by the distance between these. For a square radiator, the heat flux was obtained as a function of position in a reasonably tractable form. The point of emission on the radiator was sampled according to a probability distribution of the numbers of radiated photons. This, again, was dictated by the position-dependent temperature. The determination was done by generating two random numbers. The first of these was multiplied by the distance from the centre to the corner of the array. The second was used to establish whether or not this position actually lay on the surface of the radiator (the diagonal of the square radiator is larger than any other dimension of the array, and the location could be outside the boundary of the radiator). Having generated the birth-point of a photon as a distance from the centre of the radiator, this was converted to (JC, y) coordinates after multiplying by a third random number, an angle between 0 and In. Having determined the birth-point and knowing the local temperature, it was then straightforward to calculate the distribution of the photon energies radiated at that point. The direction of emission of the photons depended on the nature of the radiator. It was assumed that the surface was diffuse and that emission would follow a Lambertian probability distribution, i.e., a cosine distribution. The 'scattering angle' was defined as the angle of emission with respect to the surface normal, and the sampled directions were sampled according to the cosine distribution. The 'azimuthal angle' was defined as a direction in the plane of the radiator in which the photon was emitted. These two angles completely specified the direction of emission of individual photons and, therefore, its eventual angle of incidence on the array. In the publications by Gethers et al. (1997) the state of polarisation was also taken into account, and this was also generated statistically. The energy, angles of emission and incidence, and state of polarisation of photons all affect the probability of reflection or absorption at the internal surfaces of the cavity. In a test of the model, actual TPV cells had grids to collect the photogenerated current and a filter was used to reflect sub-bandgap photons back to the radiator. It was assumed that the grid lines were optically specular and occupied 10% of the array surface. On the other hand, the reflectance of the filter was computed as a function of angle of incidence and photon energy using a separate code package, OptiLayer. The external quantum efficiencies of individual cells were stored as library files and converted into internal QEs using the filter reflectance and the grid losses. This was done for the entire 4 x 4 array of cells used in the cavity experiment. Ideally, the QEs of all cells should be identical, but this was not the case in the set used in the
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experiment. Each time a photon of particular energy is absorbed by part of the TPV array, the equivalent QE for that energy was read. This was done for all photons and for all their properties mentioned above. The product of QE, the number of absorbed photons, and the electronic charge then gave the current produced by that particular cell in the array. For simple infinite-parallel-plate geometry, the heat flux could be calculated analytically and used as a test of the code. The agreement was better than 3% for various radiator temperatures and cell reflectances. Comparisons were also made between the heat fluxes calculated for the 4 x 4 array of mismatched InGaAs cells (i/ g = 0.55 eV) and those measured using calorimetry. The cells were 1 cm x 1 cm. This was done for multilayer dielectric filters and for tandem filters consisting of a dielectric stack on the front of the filter surface and a TCO on the back, to minimise free carrier absorption in the TCO. A leakage path, between the array and the vertical walls, out of the cavity was also unavoidable. This path permitted photons to escape, rather than being trapped indefinitely until absorption. This feature emerged as a surprisingly important aspect of cavity design. The effect of the reflectance of the vertical side walls of the cavity was also included in a term called the spectral utilisation factor (SUF). This was defined as the ratio of the useful radiation absorbed (h v > Ug) to the total energy absorbed by the array. The model revealed a large decrease in the SUF for modelled systems with a photon leakage path. Clearly, the width of the leakage path must be minimised in practical systems. The magnitude of the effect is not intuitively obvious, but can be understood by considering the multiple reflections of photons within the cavity. A photon will continue being reflected until it is absorbed. This may be by the radiator (ideally, only sub-bandgap photons), by the array (ideally only above-bandgap photons), by some other surface of the system, or until it escapes through the gap. In the paper by Gethers et al. (1998), estimates were made of the efficiency of the array. Under the best circumstances, the photon efficiency, i.e. the conversion of the photons to electricity, was estimated as 13.2%. As with other models of TPV system performance, this is rather modest but probably realistic. This figure does not include the combustion efficiency, but it does include that of the cells, the radiator, and the filter, so this model is probably the most realistic developed to date. Preliminary heat-flux calculations for the 4 x 4 array of cells were substantially different from the measured results. This prompted a series of tests designed to isolate the problem, which turned out to be a combination of poor temperature characterisations of the radiator and a shortcoming in the Monte Carlo code. These tests were extremely valuable in advancing the understanding of cavity photonics. The tests used the aforementioned cavity, with different sizes of square silicon targets.
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The leakage path out of the cavity was reduced as much as possible, while retaining thermal isolation between the top and bottom plates, and the cavity walls were coated with gold to increase their reflectance. The intention was to force the closed cavity to behave as if it were in a quasi-infinite parallel-plate geometry. Excellent agreement was achieved between the experiment and calculated results. Another set of tests was initiated to reduce the uncertainty in the measured heat flux. A copper pedestal (block) was thermally mounted to the back of the target material: a 2 X 2 array of 0.55 eV InGaAs cells. Thermocouples were placed at different locations separated by known distances along the axis of the copper block. The measured temperature difference and the known thermal conductivity of the copper was then used to calculate the heat absorbed in the target TPV cells. The cells were surrounded by a shield to eliminate direct heating of the copper block by radiant energy from the radiator. However, this shield was thermally isolated from the target/copper block by a gap so that a true measurement could be obtained for the heat absorbed in the target. The analytical predictions, which could only model parallel plates without a gap, were significantly lower than the measured heat fluxes. The Monte Carlo calculations, however, were in good agreement with the measured heat fluxes. Furthermore, the code was used to determine the heat-flux sensitivity to gap spacing (offset) for a radiator temperature of 2000 F (~1100 C). The 'offsets' refer to the vertical displacement between the top of the TPV target and the top of the shield material. Surprisingly, the absorbed heat flux is predicted to increase by 0.3 W per mil (25.4 /xm) of gap spacing, which is a useful result when setting up an experiment. Recently, the code has been modified to support analysis of back-surface reflectors, so refraction and absorption by the TPV cells have been added to the code. This statistical approach is an appropriate method to tackle what is essentially a statistical problem. Assuming that it could be applied to other designs, it appears to have considerable potential value to system evaluations, prior to their construction. Schroeder et al. (1997) also developed a sophisticated model based on ray tracing and the calculation of view factors based on system geometry. Both flat-plate and cylindrical configurations were used, and the model could account for both infinite and finite arrays. The authors argued that most research in TPV has been conducted on specific components, which has led to system configurations that depend on the components of interest to the particular researchers. Inevitably, the performance of individual components may be degraded in an actual system. The code could accept both system design and geometry as inputs. A database of fuels and their heat contents was also built into the program. Additional code allowed users to compare and optimise various system configurations.
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The heat-source model considered the amount of heat available from a recuperative burner, which depends on the enthalpies of the various states of the system, including the inlet, air preheat, combustion, energy extraction and exhaust ambient states. The heat-source model was incorporated as a subroutine. Once the temperature and enthalpy of the various states were defined, the energy available for radiation could be calculated to obtain the efficiency of the heat source as the ratio of the maximum available heat at the radiation temperature to the heat content of the fuel. These efficiencies of the various components, when multiplied together, gave the overall system efficiency. When the geometry was treated as infinite plates with a blackbody radiator at a temperature of 1800 C, using GaSb cells, at a temperature of 25 C, the system efficiencies were estimated to be about 16.2% with power densities of 14.2 and 15.2 W cm-2 output for systems with and without a quartz filter, respectively. This was primarily because of absorption by the quartz filter, which reduced the power density incident on the converters. With a finite geometry (i.e., 5 x 5 cm plates) and a non-ideal fuel source, the efficiency decreased to about 0.2% and the power density output to 1.9 W cm"2. The large reduction is due to losses associated with the inclusion of the system geometry. The majority of this is accounted by end-losses (leakage of photons from the ends of the optical cavity). However, when reflectors were included in the model to prevent, or lessen, end-losses and to concentrate radiation on the cells, the efficiency increased to 5.4% and the power density output to 43.7 W cm-2. The performance of the reflectors could also be treated parametrically. However, at this power density, the incident photon flux on the cells would be extremely intense, and it would be necessary to remove an additional 180 W cm-2 of heat from the cells to maintain their temperature at 25 C. Thus, this model allowed for a number of practical considerations that more idealised models have neglected. It also permits an iterative procedure to be performed to calculate the optimum system design for specific geometries, materials and operating conditions. Note that the system efficiencies were predicted to be rather modest, because all components were included in the calculation, rather than the approach used by Ballinger et al. (1998), which included only the radiator, converter and optical control element. Other authors performed modelling of conceptual systems and derived similar results to those described above. It is important to remember that the efficiency of a TPV system (i.e. the ratio of electrical energy out to the energy content of the input fuel) is the product of the efficiencies of five individual components (combustion, radiation, conversion, recirculation and power processing) in the system (as illustrated in Fig. 11.2). Even if the efficiency of each of these were 90%, the system would have
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an efficiency of 0.95 or 54%, as originally pointed out by White et al. (1961). With more realistic component efficiencies, the system efficiency will necessarily be lower, as seen from the work of Schroeder et al. (1997). Realistically, a near-term system efficiency of 20% may be achievable for a broadband radiator. To achieve this, however, would take a sustained program of research and development. For a selective radiator, the efficiency could be considerably higher (perhaps 50%) but the power density would be much lower, unless the radiative performance could be greatly improved from present levels. In addition, the system efficiency would be significantly reduced by the factors discussed by Ballinger et al. (1998). If the TPV system were used as a co-generator and the waste heat were regarded as a primary product, then the system efficiency would be much higher. However, TPV systems seem likely to be applied in the near-term to electricity generation, in which case removal, recovery and re-use of waste heat will be required and will limit system efficiency unless performed efficiently. Solar-fuelled, Stone et al. (1995), biofueled, Broman and Marks (1994), heat from radio-isotope decay, Schock et al. (1997), diesel-fueled, Guazzoni and McAlonan (1997), DeBellis et al. (1998), propane-fueled, Fraas et al. (1995), and natural gasfueled, Pelka et al. (1986), TPV systems have been proposed but not all have been realised in practice. Relatively few systems demonstrations have been performed, which is a weakness in modern TPV technology. This may be because most research has been on specific components, rather than on entire systems. It would be desirable to reduce some of the proposed designs to practice, rather than speculating about their likely performance or potential improvement. Without the experience of testing and characterising real systems, it is impossible to make any further comment about their performance. More system demonstration is vital for the further development of this technology, and this may lead to an acceleration of its widespread deployment. The Proceedings of the four NREL conferences contain great detail about each of the systems proposed. Nearly all of the work to date has been related to the development of systems for the military, and the design considerations for non-military systems will almost certainly be significantly different.
11.7 Summary In this chapter, we have briefly reviewed some of the sub-technologies involved in a TPV system, as well as discussing the systems themselves. We have attempted to provide an overview of the field rather than a comprehensive review of all work underway. At the time of completion of this chapter (September 1999) the fourth
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conference in the NREL series has been completed, and to some extent, it is inevitable that the papers presented supersede much of the material presented in this review chapter. If this chapter appears to have a strong bias towards work in the United States, this is an accurate reflection of the situation. We do not intend to ignore work elsewhere in the world, including that in England, Germany, Sweden, Japan and Switzerland, but the fact is that the overwhelming majority of the papers in the Proceedings of the Fourth NREL Conference on Thermophotovoltaic Generation of Electricity are from the USA. Of these, probably 95% derive their funding from military sources. Results presented by Wanlass et al. (1998), Fatemi et al. (1998) and Wilt et al. (1998) indicate great improvements in converter technology since the Third NREL TPV Conference. In particular, the band gap of the lattice-mismatched (to a InP substrate) ternary alloy, In^Ga,_^As, has been reduced to 0.55 eV, with the devices still performing exceptionally well. If defects are present in the active layers, then they are either electrically inactive, which seems unlikely, or their concentration is minimal, which is a testimony to the growth procedures used. Suggestions have also been made by Wanlass et al. (1998) that the exceptionally good performance may be related to the material being in a state of biaxial compression, rather than in tension. The performance of cells based on the lattice-matched (to a GaSb substrate) quaternary alloy, GajIni^AsySb]^ has also improved in the same period of time. Both Wang et al. (1998) and Khalfin et al. (1998) reported substantial progress in the performance of lattice-matched, low-band-gap devices based on the antimonide alloys. Curiously, the most-developed component is the semiconductor converter. To a great extent, it may be regarded as "good enough" for the continued development of first-generation systems. More emphasis needs to be placed on the optical control of sub-bandgap photons. Each of the approaches discussed has strengths and weaknesses, and none has a commanding advantage at present. Even the back-surface reflector MIM has come under close scrutiny recently, as will be evident to those who read the Proceedings of the Fourth NREL TPV Conference. Selective radiators have also made great progress, and it no longer appears quite so obvious that broadband sources have superior performance. Improvements have been made towards increasing the in-band emissivity and decreasing that outside the important band. As well as the rare-earth oxides, other radiators are now being considered that are interesting and may have significant potential. In some applications, the recovery of industrial waste heat being a prime example, the fuel may perhaps be treated as "free" in the sense that it would otherwise be wasted. Efficiency may be less important in these applications, although the
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economics will still dictate the approach being used. Stand-alone domestic gas furnaces are likely to be of interest to the natural gas and furnace industries, as well as to the energy-related funding agencies. There has been an interest in the US Congress for some time in removing the pilot light in domestic gas furnaces to reduce energy consumption. Ignition could achieved by other means. However, if the pilot light (or a dedicated supply of gas) could be used to heat a radiant surface powering a TPV array, then the furnace could be regarded as "stand-alone" and independent of a grid electricity supply. In turn, this could be most attractive to users in parts of the United States in which electricity black-outs are not uncommon. The electrical power consumed by a domestic gas furnace is about 300-400 W, which is used to power pumps and blowers. If this power could be supplied by TPV generators, there would be a considerable electricity saving, as well as a potential reduction in recurrent costs to the consumer. The capital cost would, of course, be higher, but market studies by Johnson (1996) indicate that the consumer may be prepared to pay up to $500 more for a furnace to protect against power outages causing an inoperable domestic heating system. It is clear that political interest in TPV is growing in the United States, at the time of writing, and this interest may be due to an increased awareness of the potential of TPV generation coupled with a balanced federal budget. If these political influences enhance the probability that a non-military program in TPV in the USA will be initiated, the author believes that this can only be to the national benefit. The rest of the world is also keenly aware of the possibilities for TPV. Yamaguchi and Yamaguchi (1998) discussed potential applications in Japan, Schubnell et al. (1997) did the same for Europe. Other examples of the wider growth of interest in TPV generation of electricity are to be found in the Proceedings of the Fourth NREL TPV Conference Coutts et al. (1999). Although total funding is less thus far in these countries, they do not regard the military as the only foreseeable user.
Acknowledgements The author wishes to express his sincere gratitude to his NREL colleagues Scott Ward, Jerry Olson, Richard Crandall, Richard Ahrenkiel and Kannan Ramanathan, Jeffrey Mazer of the US Department of Energy and Guido Guazzoni of the US Army Research Laboratory, whose careful reading of the manuscript greatly improved its quality. This work was supported by the US Department of Energy under contract number DE-AC36-98-GO10337.
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DeBellis C. L., Scotto M. V., Scoles S. W. and Frass L. (1997), 'Conceptual design of 500 Watt portable thermophotovoltaic power supply using JP-8 fuel', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 355-367. Demichelis F. and Minetti-Mezzetti E. (1979/80), 'A solar thermophotovoltaic converter', Solar Cells 1, 395^03. Eastman L. F. (1993), 'Low-field electron and hole mobilities in lattice-matched InGaAs on InP', in Properties of Lattice-Matched and Strained Indium Gallium Arsenide, Bhattacharya P., ed., Institution of Electrical Engineers, London, pp. 103-106. Eisenman W. L., Bates R. L. and Meriam J. D. (1963), 'Black radiation detector', J. Opt. Soc. Am. 53, 729-734. Fan J. C. C , Tsaur B.-R. and Palm B. J. (1982), 'Optimal design of high-efficiency tandem cells', Conf. Record 16th. IEEE Photovoltaic Specialists Conf, San Diego, IEEE Press, Piscataway, 692-701. Fatemi N. S., Wilt D. M., Hoffman Jr. R. W., Stan M. A., Weizer V. G., Jenkins P. P., Khan O. S., Murray C. S., Scheiman D. and Brinker D. (1998), 'Highperformance, lattice-mismatched InGaAs/InP monolithic interconnected modules (MIMs)', 4th. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 460, Am. Inst. Physics, New York, 121-131. Fatemi N. S., Wilt D. M., Jenkins P. P., Hoffman Jr. R. W., Weizer V. G., Murray C. S. and Riley D. (1997a), 'Materials and process development for the monolithic interconnected module (MIM) InGaAs/InP TPV devices', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 249-262. Fatemi N. S., Wilt D. M., Jenkins P. P., Weizer V. G., Hoffman R. W. J., Murray C. S., Scheiman D., Brinker D. and Riley D. (1997b), 'InGaAs monolithic interconnected modules (MIMs)', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 799-804. Fraas L. M., Avery J., Ballantyne R., Custard P., Ferguson L., Xiang H. H., Keyes J., Mulligan B., Samaras J. and Williams D. (1997a), '2-amp TPV cogenerator using forced-air cooled gallium antimonide cells', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 369-372. Fraas L. M., Samaras J., Huang H.-X., Seal M. and West E. (1998), 'Development status on a TPV cylinder for combined heat and electric power for the home', 4th. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 460, Am. Inst. Physics, New York, 371-383.
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Fraas L. M., Han Xiang H., Hui S., Ferguson L., Samaras J., Ballantyne R., Seal M. and West E. (1995), 'Development of a small air-cooled "Midnight Sun" thermophotovoltaic electric generator', 2nd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 358, Am. Inst. Physics, New York, 128-137. Fraas L. M., Huang H.-X., Ye S.-Z., Hui S., Avery J. and Ballantyne R. (1997b), 'Low cost high power GaSb photovoltaic cells', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 33-40. Gethers C. K., Ballinger C. T. and DePoy D. M. (1998), 'Lessons learned on closed cavity TPV system efficiency measurements', 4th. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 460, Am. Inst. Physics, New York, 335-348. Gethers C. K., Ballinger C. T., Postlethwait M. A., DePoy D. M. and Baldasaro P. F. (1997), 'TPV efficiency predictions and measurements for a closed cavity geometry', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 471-486. Goldstein M. K., DeShazer L. G., Kushch A. S. and Skinner S. M. (1997), 'Superemissive light pipe for TPV applications', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 315-326. Gray J. L. and El-Husseini A. (1995), 'A simple parametric study of TPV system efficiency and output power density including a comparison of several TPV materials', 2nd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 358, Am. Inst. Physics, New York, 3-15. Green M. E. (1986), Solar Cells: Operating Principles, Technology, and Systems Applications, University of New South Wales, Kensington, New South Wales, Australia. Guazzoni G. E., Kittl E. and Shapiro S. (1968), 'Rare earth radiators for thermophotovoltaic energy conversion', Int. Electron Devices Meeting, IEEE Press, Piscataway, 130-132. Guazzoni G. E. and McAlonan M. (1997), 'Multifuel (liquid hydrocarbons) TPV generator', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 341-354. Guazzoni G. E. (1972), 'High temperature spectral emittance of oxides of erbium, samarium, neodymium and ytterbium', Appl. Spectr. 26, 60-65.
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Guazzoni G. E. and Pizzo B. (1996), 'Extended use of photovoltaic solar panels', 2nd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 358, Am. Inst. Physics, New York, 162-176. Home W. E., Day A. C , Gregor R. B. and Milliman L. D. (1980), 'Solar thermophotovoltaic space power system', 15th. Intersociety Energy Conversion Eng. Conf, Am. Inst. Aeronautics and Astronautics, New York, 377-382. Home W. E., Morgan M. D. and Day A. C. (1992), 'Radioisotope enhanced solar thermophotovoltaic power for the lunar surface', Solar Engineering 2, 861-865. Johnson S. (1996), TPV Market Analysis, Final Report RAK-5-15377, National Renewable Energy Laboratory, Golden, Colorado. Khalfin V. B., Garbuzov D. Z., Lee H., Taylor G. C , Morris N., Martinelli R. U. and Connolly J. C. (1998), 'Interfacial recombination in In(Al)GaAsSb/GaSb thermophotovoltaic cells', 4th. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 460, Am. Inst. Physics, New York, 247255. Kittl E. (1966), 'Thermophotovoltaic energy conversion', 20th. Power Sources Conf, PSC Publications and Communications; Red Bank, New Jersey, 178-182. Krist K. (1994), 'GRI research on thermophotovoltaics', 1st. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 321, Am. Inst. Physics, New York, 54-63. Lowe R. A., Chubb D. L. and Good B. S. (1994), 'Radiative performance of rare earth garnet thin film selective emitters', 1st. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 321, Am. Inst. Physics, New York, 291-300. Mulligan W. P. (1997), 'A study of the fundamental limits to electron mobility in cadmium stannate thin films', Ph.D. thesis, Colorado School of Mines, Golden, Colorado. Nell M. E. and Barnett A. M. (1987), 'The spectral p-n junction model for tandem solar-cell design', IEEE Trans. Electron Devices ED-34, 257-266. Nelson R. E. (1992), Fibrous emissive burners: selective and broadband, Annual Report TR4527-044-92, Gas Research Institute, Chicago, Illinois. Nelson R. E. (1994), 'Thermophotovoltaic emitter development', 1st. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 321, Am. Inst. Physics, New York, 80-98. Pelka D. G., Santos A. and Yuen W. W. (1986), 'Natural gas-fired thermophotovoltaic system', 32nd. Int. Power Sources Symposium, Electrochemical Society, 110-123.
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Pernisz U. C. and Saha C. K. (1994), 'Silicon carbide emitter and burner elements for a TPV converter', 1st. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 321, Am. Inst. Physics, New York, 99-105. Prince M. B. (1955), 'Silicon solar energy converters', J. Appl. Phys. 26, 534-540. Raicu A., Heidler K., Kleib G. and Bucher K. (1991), 'Annual and seasonal energy rating of mono-Si, a-Si, and GaAs test cells for the USA by the RRC method', Conf. Record 22nd. IEEE Phototovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 744-749. Rappaport P. (1959), 'The photovoltaic effect and its utilization', RCA Review 20, 373-397. Rhoads C. M., Damon E. K. and Munk B. A. (1982), 'Mid-infrared filters using conducting elements', App. Opt. 21, 2814-2816. Rose M. F. (1996), Prospector VIII: thermophotovoltaics—an update on DoD, academic, and commercial research, Space Power Institute, Auburn University, Washington Duke Inn, Durham, North Carolina. Rosenfeld R. L. (1994), 'An ARPA perspective on TPV, 1st. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 321, Am. Inst. Physics, New York, 301. Schock A., Or C. and Kumar V. (1997), 'Small radioisotope thermophotovoltaic (RTPV) generators', 2nd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 358, Am. Inst. Physics, New York, 8 1 97. Schroeder K. L., Rose M. F. and Burkhaiter J. E. (1997), 'An improved model for TPV performance predictions and optimization', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 505-519. Schubnell M., Gabler H. and Broman L. (1997), 'Overview of European activities in thermophotovoltaics', 3rd. NREL Conf. Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 3-22. Scott-Moncke J. (1978), 'An overview for photovoltaics for space applications', Conf. Record 13th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 421^128. Shellenbarger Z. A., Mauk M. G., Cox J. A., Gottfried M. I., Sims P. E., Lesko J. D., McNeely J. B. and DiNetta L. C. (1997), 'Improvements in GaSb-based thermophotovoltaic cells', 3rd. NREL Conf Thermophotovoltaic Generation of Electricity, Am. Inst. Phys. Conf. Series 401, Am. Inst. Physics, New York, 117128.
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CHAPTER 12
CONCENTRATOR CELLS AND SYSTEMS ANTONIO LUQUE Universidad Politecnica de Madrid E—28040, Madrid, Spain tuque @ ies-def. upm. es
Porque el que no sabe mas que las palabras sin saber el fundamento que la regla tiene:siguen se le muchos dahos / y hallandose en ellos / no sabe ni alcanqa de donde le vienen. (Because much harm will come to him who only knows the words; without knowing the foundation of the rule, he does not know and coannot reach where they come from.) Pedro de Medina, Regimiento de Navegacion, fo. 26, 1563.
12.1 Introduction Solar cells are usually expensive. A potential way of reducing their cost is casting onto them a higher light intensity than is available naturally. For this solar concentrators are used. Concentrators are optical elements that collect the Sun's energy in a certain area and redirect it onto the solar cells. Obviously the collecting optical element has to be cheaper per unit area than the solar cell, a necessary although not sufficient condition to render the concentrated light system less expensive than an unconcentrated one. Solar cells can convert the additional luminous power falling on them without significant loss of efficiency. This is a basic requirement. In fact one of the properties that is alleged as a merit for concentrating systems is their potentially higher efficiency. This is true, but to achieve it we must be rather careful in the fabrication of the solar cell because it will ultimately suffer a loss of efficiency at high enough concentrations. This will also occur at raised temperatures since cell efficiency is better at lower temperatures. In addition, we must keep in mind that, with the exception of static concentrators, concentrating systems do not collect diffuse sunlight, so the concentrator efficiency must compensate for this. In spite of all this, concentrating systems tend to yield, for the same receiving area, more power than unconcentrated ones, and this trend will probably increase in the future, once sophisticated high-efficiency tandem cells are incorporated into concentrating systems.
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Concentrating systems usually (but not invariably) need tracking mechanisms to keep the sunlight focussed on the cells. Static concentrators also exist, although they permit only very moderate concentration. They also collect diffuse sunlight, to different extents. Such systems have not so far been commercialised and will not be treated in this chapter. For more information, the reader is directed to Luque, 1987 and 1989. The level of irradiance (luminous power flux) at which concentrating cells operate is very variable. Recalling that for the purpose of solar cell rating, the standard solar irradiance at the Earth surface is 1 kW m"2, the level of irradiance in static concentrator cells is in the range 1.5-5 kW rrf2, silicon tracking concentrators range today from 10 to 500 kW m-2, while for GaAs cells irradiances between 100 and 1500 kW m~ are used or envisaged. It is very common to refer to the irradiance level in 'Suns', meaning the number of times the actual irradiance is higher than the standard solar irradiance. Thus a cell operating at 1500 kW m~2 is said to operate at 1500 Suns. It has to be understood that PV concentrators are not a common product in the market; we shall explain later why we think is so. So expressions throughout the chapter such as 'is generally used ...' or 'is the most used ...' refer to developments, prototypes or incipient industrialisation attempts. In this chapter, we shall study both concentrator solar cells and the concentrators themselves. First we shall look at the basic operation of solar cells under concentration, and then the structure of some concentrator cells The series resistance is one of the characteristics that makes a concentrator solar cell different; ways of reducing this by the use of appropriate contact grids are quantitatively analysed. Concentrator solar cells suffer reduction in efficiency with increasing temperature of operation, and the effect of the temperature on cell behaviour is also quantified. Concentrator solar cells sometimes operate under high injection, although this is not a common mode for solar cell operation under 1 Sun. We describe here the main features of high-injection operation and explain when concentrator solar cells operate in this mode. Finally we describe some modern methods of reducing the loss of efficiency due to the grid shading. As regards concentrators, we start with their description. Then we examine methods for their optical design. Afterwards we analyse how concentrator cells are mounted and cooled, including a quantitative analysis of the cooling. Then we consider their performance and cost. Finally we discuss when the use of concentrators is appropriate, what the difficulties of their development have been and what future we foresee for tracking concentrator technology.
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12.2 Concentrator solar cells 12.2.1 Conclusions derived from the I-V equation The simplified single-exponential l-V equation of a solar cell can help us to understand some of the main requirements of concentrating cells. This equation is (
' = A.-A, ex P
V + IR ^
(12.1)
where 7L (in A) is the photogeneration current, which is equal to the short-circuit current and approximately proportional to the luminous power PL (in W), 70 (in A) is the reverse-bias saturation current, R is the series resistance and V& is the thermal voltage fikT/q. The diode quality factor /J is usually close to unity in concentrator cells. The maximum-power efficiency is given by VOCIM =5LVoc?7ri,1
Vmp =
(12.2)
[PLJ
where SL = Ii/PL is the cell photosensitivity (approximately constant), Voc is the opencircuit voltage, given by (12.3)
Voc = K X V / o )
and rjf,n is the fill factor or ratio of the product of the maximum-power current and voltage to their short-circuit and open-circuit values, that is %i =
Vr
/,
I
/L
(12.4)
J
For constant /?, 77fiu is approximately given by (Luque, 1989) f
V ^ 1
th
V
{
1-^-ln
V
K„
^
v
(12.5)
where the first term, in round brackets, corresponds to the ratio / mp // L and the second term, in square brackets, to the ratio Vmp/Vx. For small currents or small values of R, 7]f,ii is a function only of Vx and increases slowly with it, so that cells with higher open-circuit voltage tend to have higher fill factors. At higher currents, the fill factor decreases with IL when the series resistance becomes important.
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A. Luque
The reader has to be warned regarding the low accuracy of eq. 12.5. It has been included here because of its illustrative virtue, but for a more exact evaluation of the fill factor, besides the ever useful numerical computation, the reader is referred to Araujo and Sanchez, 1982. The preceding set of equations tells us that the increase of VK produced by the increase of short-circuit current under concentration is one cause of increasing efficiency. At low currents, the increase of the fill factor is another cause. However, the series resistance causes the fill factor and the efficiency to decrease at high currents. The maximum efficiency of a cell with a given series resistance occurs round about where the ohmic drop equals the thermal voltage, that is, when
M - V*
(12.6)
This explains the need to achieve a low series resistance in cells manufactured for concentration. 0.8
0.18
0.7
0.175
0.6 o
"O
0.17
0.5 1
.§ 0.165 °
0.16
m*
efficiency
0.155 0.15 1
1 I I I
13
1 I
17
11 i
21
i i i
25
29
| "
0.1
power I I
0.3 0.2
i i—i—i— 0
33
37
concentration Figure 12.1 Efficiency and power oulpul under concentration for a cell of specific series resistance 66 mii cm 2 at 25 C.
Noting that V* = 0.0257 V at 25 C (for /? = 1), a cell should have a series resistance of not more than 0.86 mQ. to operate at /L = 30 A. This is not very illustrative of the technology requirements because this value is strongly related to the cell area. A cell of large area has a lower series resistance than a small cell, but at the same time generates more current. Using current densities / • I/A (A = cell area) and the specific series resistance (the resistance of a cell of unit area) r = RA, eq. 12.6 takes the form ir=Vae
Concentrator Cells and Systems
533
Thus, if the cell operating at 1L = 30 A is of area 40 cm2 (as are the BP Solar concentrator cells) then the specific series resistance should be 34 mQ cm . By comparison, a typical 1-Sun cell, with an area of 100 cm2 and /L of 3 A, requires only a specific series resistance of 857 mQ cm2, a much higher value and easier to achieve. Of course, if a smaller series resistance is achieved in 1-Sun cells, as it often is, this will only be for the good. The efficiency vs. concentration curve of Fig. 12.1 shows a maximum for 13 Suns, corresponding to a current density of 0.412 A cm"2. The specific series resistance of this cell is 66 mQ cm2. The product of the current density and the specific series resistance is 0.0272 V, very close to the value of Vu, for /3 = 1. A value of ft = 1.062 is found for full coincidence of eq. 12.6. This is a typical value for moderate concentration.
12.2.2 Structure of concentrator cells In terms of principles, concentrator solar cells are similar to those for one Sun. In both cases, it is often worth introducing some additional complexity into the fabrication in order to increase the efficiency But since concentrator cells constitute only a small part of the total cost of a concentrating system, the balance is more tipped towards high complexity and high efficiency for concentrator cells than for 1-Sun cells. Low-concentration cells operate at geometrical concentration ratios (the ratio of the optical entry aperture area to the cell area) of up to lOx. For these, textured screen-printed cells (see Chapter 4) with a somewhat more dense grid than for a 1Sun cell are probably the best compromise. Such cells are usually rectangular so that two or three cells are obtained from a single wafer. Sizes in the range of 10 x 3 cm2 are commonly used for this type of application. Efficiencies of about 16% at the rated concentration and cell temperature of 25 C are typical of this technology. For slightly greater levels of concentration, in the range of 30x, screen-printed cells are unsatisfactory because series resistance is excessive. For this concentration range, cells of the same size made with the LGBC (Laser Grooved Buried Contact) technology of Green et al. (1985) seem the most appropriate. Commercial LGBC cells have relatively high efficiency, about 16.5% at one Sun. The rationale and behaviour of LGBC cells are discussed in Chapter 4. The metal fingers of the LGBC cell are deep and narrow, occupying grooves carved by a laser. The shading they produce is very small, this being one of the reasons for the high efficiency of this cell type. This feature is particularly interesting for concentrator cells, the more so in that the grid is formed by electroless deposition
534
A. Lnque
of copper, instead of the more resistive conductive inks used in the more common screen-printed cell technology. We believe that LGBC cells are currently a unique example of 1-Sun cells that are suitable for adaptation to concentration use. Again in this case the cell size is such that we obtain two or three cells from a conventional wafer. The typical size is 10 x 4 cm2. The confirmed1 highest efficiency so far (obtained in 1991) is 20%, at an irradiance of 1.1 W cm" 2 . For higher concentrations of around 50x, we have developed a simple cell technology in our Institute that gives a 1-Sun efficiency of 19% (Cuevas and Balbuena, 1988), and a 50x efficiency of over 20% for a cell of area 0.67 cm2 (which is considered practical for this application) (Terron et al., 1992). The grid in these cells is a circular triple layer of Ti/Pd/Ag, vacuum-deposited and made by the photolithographic lift-off technique with 10 \im wide fingers and a shading factor of 6% (see Fig. 12.5c). An electrolytically grown layer of Ag of 3-4 \xm thickness is deposited on top of this to minimise the grid resistance. These cells need only one photolithographic step to form the grid, and another very simple one to delineate the whole cell area. No mask alignment is needed. In addition, the front and rear diffused regions may be formed simultaneously. This is why the cost can be rather low. The relatively low value of the achievable concentration is due to the contact resistance between the grid and the silicon, which is made only at the top of the texture. This can be avoided at the expense of using photomasks for the texturing, so that the cell remains untextured where the fingers are deposited. But this requires a subsequent mask alignment step between the untextured region and the grid mask, which adds some cost. However, with this procedure efficiencies of 20% are achieved at concentrations of-150 Suns (Terron, 1997). Higher concentrations may permit the use of more sophisticated cells. Thus many of the refinements found in 1-Sun cells of the highest efficiencies might be applicable to concentrator cells, provided that the problems caused by high current are addressed. In fact, it is in concentration mode that such cells might become most costcompetitive, and in some cases the inventors of such refinements have also developed concentrator cells. Among the best results, we mention those obtained with PERL (Passivated Emitter Rear Locally Diffused) cells (Blakers et al., 1989), which have achieved a confirmed efficiency of 24% under 1 Sun (Zhao et al, 1994), as described in more detail in Chapter 4. This type of cell, with an appropriate grid, has given a confirmed efficiency of more than 26.5% at 144 Suns.
Efficiencies referred to as confirmed have been measured in independent laboratories. Many of those quoted are in Green et al. (1995 and 1997).
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Cells and Systems
535
A very interesting cell structure is the interdigitated back contact (IBC) cell of Lammert and Schwartz (1977). This has the interesting feature that both its electrodes are situated on the rear face instead of one on each face, as it is usual in most cells; n*- and p+-regions are diffused under each grid. Excellent efficiencies, 25% at -100 Suns, have been reported by Verlinden et al. (1985). A further step forward was made by Swanson and co-workers (Sinton et al., 1985), who developed the point-contact (PC) cell. This is an IBC cell in which the n*and p+-regions are limited to small dots to which the interdigitated negative and positive grids are connected (see Fig. 12.2). To our knowledge, this was the first time that it was realised that the diffused regions forming the p-n junctions may be confined to small regions without losing their collecting ability (Sinton et al., 1985). This cell had reported and externally confirmed efficiencies of over 28%, although, following revision of the measurements, its efficiency at the time of writing is believed to be 26.8% at 96 Suns (Green et al., 1997). This is still the efficiency record for silicon cells. A key requirement of this structure is the need for almost perfect passivation of the front and back surfaces. negative grid
incident light Figure 12.2
Point contact (PC) cell developed at Stanford University.
In this structure, electron-hole pairs are generated throughout the cell volume by the light. As the recombination is very slow, the carrier density is high and the cell operates in the high-injection mode. Electron and holes tend to move together towards the base of the cell, where the n+- and p+-regions act as electron and hole sinks respectively. In this cell the role of the p-n junction and the BSF regions are blurred
536
A. Luque
(this is a rather general, if seldom recognised, feature of solar cells), so that both of them are emitters. Actually the cell bulk is lightly doped n-type, but the cell acts as if this region were intrinsic. The main reason why this cell has such good behaviour is that recombination in the heavily-doped regions, which the Auger mechanism renders unavoidable, is reduced because of the small cell volume. Efficiency is further improved by the absence of any metallisation grid on the front face. In this case the two grids on the rear face may be quite wide, as there is no trade-off between grid density and shading. In consequence the series resistance can be very low Some deterioration in output over time was found in this cell, but this has been prevented by diffusing a continuous thin n-region on the front face to assure low surface recombination by creating a surface field, rather than relying solely on surface passivation. Efficiencies of over 23% at geometrical concentrations of 250 Suns are, we think, regularly achieved. These cells are fabricated (under request and not cheaply) by at least two manufacturers (SunPower of Sunnyvale, CA and Amonix of Torrance, CA) and have been used in some concentration prototypes. These cells are small in size, in the range of 1-2 cm2 in area. III-V semiconductors such as GaAs and related materials are of interest for higher concentrations. They can yield higher efficiencies but are much more expensive than silicon. We believe that they can be cost-effective only if used at concentrations of 500-1500 Suns. GaAs cells are fabricated today by either the Liquid Phase Epitaxy (LPE) or the Metal Organic Chemical Vapour Deposition (MOCVD) technique. The former is alleged to produce better quality material but the latter is much more flexible, permitting more complex structures to be made and so far giving better efficiencies. To our knowledge, the highest confirmed efficiencies, of up to 27.6% at 255 Suns (Vernon et al, 1991), have been so far obtained in MOCVD cells. The electrically inactive substrate is a GaAs wafer. On this a buffer layer is grown to insulate any impurities, then n- and p-layers are grown to form a p-n junction and an AlGaAs window layer is grown to reduce the surface recombination. Finally a double layer anti-reflecting coating is deposited. Under the contacts and through the AlGaAs layer, a cap layer is deposited to reduce the contact resistance, which is very high on AlGaAs. GaAs cells operating at very high concentration, 1295 Suns, with an externally confirmed efficiency of 23%, the highest at this concentration, have been fabricated in our Institute using a low-complexity cell structure, by the LPE technique (Maroto et al., 1995). Figure 12.3 shows the efficiency-concentration curve. The process has a single melt to produce the AlGaAs window layer. Simultaneously, the Be dopant
Concentrator
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Cells and Systems
g
28 27 26 25
I 23
|
22
21 20
19
1
10
100
1000
10000
Concentration (x Suns)
figure 123 Efficiency vs. concentration curve measured at NREL for a GaAs solar cell fabricated at the IES on LPE wafers grown at the Ioffe Institute. This cell has the highest efficiency so far confirmed for concentrations of 1000 Suns and above (as at November 1999). diffuses
from t h e melt into the /i-type substrate to form
a p - G a A s layer.
The
fabrication of contacts with low-contact resistance is essential for achieving good performances at high concentrations. Therefore the front contact is directly deposited on the p-type GaAs layer after local etching of the AlGaAs window. This introduces more recombination than using a cap layer, but it is simpler and the contact is very good. Ill—V semiconductors are very promising, with efficiencies of over 40% to be expected in the medium term. This can be achieved with tandem cells that make better use of the energy carried by the photons. This topic is discussed in detail in Chapter 8. With these cells, the highest confirmed efficiency so far achieved under concentrated sunlight is to our knowledge 32.6% at 100 Suns (Fraas et ai, 1990) although an erroneous efficiency of 35% was announced. In this case a four-terminal mechanical stack of two cells, the upper one of GaAs (band gap 1.4 eV) and the lower one of GaSb (band gap 0.9 eV), were used. A big drive is underway to make such tandem cells in a monolithic stack, that is, with the two cells grown on the same substrate. In this case the upper cell is connected to the lower cell by means of a tandem junction or a metal grid, which forms an ohmic contact with both cells. External connection may or may not be provided at this intermediate level, resulting in either the three-terminal or the twoterminal configuration. In the two-terminal configuration, the cells are in series and therefore the band gaps and cell thicknesses must be adjusted so that the two cells give the same photocurrent. Otherwise the current will be limited by the cell yielding less. With monolithic tandems, the highest confirmed efficiency under concentration at the time of writing is 31.8% at 50 Suns (Wanlass et al., 1991) using an InP/GalnAs
538
A. Luque
(band gaps 1.35/0.75 eV) three-terminal monolithic tandem. For a two-terminal tandem the highest efficiency is 30.2% with a GalnP/GaAs (band gaps 1.9/1.4 eV) tandem at 180 Suns (Friedman et ai, 1995). Confirmed efficiencies at one Sun of 33.3% have been obtained using a high efficiency GalnP/GaAs monolithic tandem mechanically stacked on top of an InGaAs cell with a band gap of 0.75 eV (Takamoto et ai, 1997). Higher efficiencies should be possible under concentrated sunlight with this structure properly adapted.
12.2.3 Series resistance calculations As we have seen, complexity in the fabrication will strongly affect cell efficiency, and cost considerations may indicate use of one or another level of complexity depending on the level of concentration. But this complexity is not inherent to concentrator cells. Usually, complex cells are first developed for one Sun operation and only afterwards are they modified for concentration operation, this being an added complexity. We have also seen that the specific series resistance is the crucial parameter for concentrator cells. Several terms contribute to this resistance, their analysis is necessary to minimise the overall resistance. Electron-hole pairs are generated everywhere across the cell, and must flow to reach the cell terminals. Figure 12.4 shows an n-on-p cell in which the current (hole current in this case) flows vertically to the rear metal layer of the back contact, encountering a specific resistance rb. It returns by flowing laterally along the busbar and then along the fingers. Finally it must flow laterally across the cell surface within the emitter layer, the electrons being collected vertically from the whole front surface (remember that the direction of the current flow is opposite to the electron flow). The nomenclature for the specific resistances of each path is shown in Fig. 12.4. The calculation of some of these resistances is obvious. This is the case, for instance, for the vertical base specific resistance, which is given by r„ = PbH
(12.7)
where pb (in Q. cm) is the base resistivity and H is the base thickness (approximately equal to the cell thickness). However, in other cases the resistances have a distributed character that requires some discussion. This is the case, for instance, for the emitter series resistance. To calculate this, we may consider, as a simplifying approximation, that vertical current flow is homogeneous throughout the whole cell. Let its current density be i and
Concentrator Cells and Systems
539
consider a unit cell formed by the rectangle of length / comprised between a line at the middle of a finger and a line at the middle of the space between two fingers. The area of this rectangle is ld/2 (see Fig. 12.4 for dimensions).
Figure 12.4
Diagram of current flow in an n-on-p cell with grid fingers.
We shall first determine the resistance of the elementary strip (which has the depth of the emitter layer) between the two dashed lines in Fig. 12.4 to the current flowing in the emitter. This is characterised by a sheet resistance RQe (which equals plzj for a homogeneously doped junction of resistivity p and depth zj). The series resistance is then Rae dx/l. Now we must calculate the current flowing from the finger through this element of resistance. This current corresponds to all the electrons collected by the junction in the rectangle formed by the differential strip already considered and the line midway between two fingers [abscissa {d - w)/2 when the origin of abscissas is at the finger edge]. This current is i(d/2 - w/2 - x)l. The Joule losses Pama produced in the rectangle between x = 0 (finger edge) and x = (d - w)/2 are fa™. =J 0
= -i2lRae(.d/2)3(l-F)3
[i(d/2-w/2-x)l]Rat-j-
(12.8)
where we have introduced the grid coverage (or shading) factor F = w/d. The current produced in this rectangle is /unil = (/W/2)(l - F). These losses may be used to define an equivalent series resistance from the relationship Psjunu = A,nii2/?„nif Thus we obtain lRDe(d/2)(l-F)
**
=
3
1
lRae(d/2-w/2) =
3
/
(12 9)
-
which corresponds to 1/3 of the geometrical resistance of a sheet of length (d ~ w)l2 and width /.
540
A. Luque
The power loss in the whole cell is obtained by multiplying the expression in eq. (12.8) by the number of unit cells 2LJd. The series resistance is obtained by dividing this power by I2 = [(iLl)(l - F)]2, The specific series resistance is obtained by multiplying the series resistance by the cell area LI and is given by
re=lRaM,2ni-F)=-^WJ-FK!^Zfl
(l 2 . 1 0 )
The same procedure can be used for determining the series resistances associated with the remaining elements in Fig. 12.4. Thus we obtain for the specific series resistance of a solar cell of conventional structure,
r (\-F) 1 r
~
'wV
—2
r +r
' > ,
+
Sg
ce + r +r
—
b cb+rbus
,
m
n
(12.11)
r r where ree, rgg, rb and rbus are the specific resistances of the emitter path, the grid path, the base path and the busbar path, all represented in Fig. 12.4, while rce and rcb (in ohm cm2) are the specific resistances associated with the metal-semiconductor interface at the front emitter and the cell back, respectively. Values for ree and rgg are given in Table 12.1 for the different grids represented in Fig. 12.5, all with rectangular fingers of width w. In this table R g is the sheet resistance of the grid, which is the resistivity of the metal divided by its thickness, and (for circular grids) N, is the number of radial fingers in each ring. The resistance of the busbar, if connected at one end as shown in Fig. 12.4, is a distributed resistance and follows the 1/3 rule, that is rbm=^^(U)
(12.12)
•^ ' b u s * ' '
where D and ?bus are the busbar width and thickness and the factor in brackets is the cell area. The built-in busbar in concentrator cells is reinforced with an external copper ribbon that carries all the current, and the parameters in eq. 12.12 should relate to this ribbon and not to the built-in busbar. If there are two busbars in parallel, the busbar resistance is halved. In square or circular cells, where contact to the busbar is made at many points, the busbar resistance is usually negligible. External series resistances may exist in the cell assembly that affect cell behaviour in the same way as the internal resistances.
Concentrator Cells and Systems
Table 12.1
541
]Jarameters for the calculation of the specific series resistance
Structure
ru
Tee
Rectangular single bus, Fig. 12.4
±V2
* ^
Rectangular, double bus, •kRasf Fig. 12.5b Circular, Fig. 12.5c, ring {if Circular, Fig. 12.5c, total cell6
F W 1
/
-kRny
1„ (if-lM-h^ 5*°<
w/l
1„ iti-tM-lt-S5
(I? ~HJ
6**"
ft'-O
Z2-/2,
sr-
ft
2
F,.
F,
" A- ' M ) W
»2
1
*' rcc/2
' = ' max
2
r 4
+ ^
£ ^,/, (=i
"Nil is the of fingers in number ring (i). In Fig. 12.5c there is an inner circle and two rings. The inner ring is designated ring (1) and the outer one ring (2); l ( „ is the highest value of/; in Fig. 12.5c, imax = 2. rggJ, r„,i and F, are calculated in the table line above, corresponding to ring (i). Radii /,are shown in Fig. 12.5c; / is the outermost radius (fc in Fig. 12.5c). In some cases there is no inner circle, in which case /0 = 0.
As for rce and rcb, their values strongly depend on the surface doping density. For instance, for a Ti contact on n-type Si their values vary from 5.5 x 10_1 Q. cm2 at a surface doping density of 1016 cm"3 to 3.5 x 10"9 Q. cm2 at 1021 cm"3. However, these values are only indicative because the measured values are very dependent on the specific technology and even on the sample. For example, values measured on our own cells for a surface n-doping density of (1-2) x 1019 cm"3 reveal the importance of the texture. The emitter contact resistance lies in the range (1-8) x 10"4 Q cm2 for a textured surface and (1-5) x 10"6 Q. cm2 for an untextured one (Terron 1997). Table 12.2 shows an exercise regarding the series resistance of three solar cells. Two of them are made of silicon, one being a 10 Suns LGBC cell (labelled double bus in Table 12.2) and the other a 100 Suns cell of the type manufactured at our Institute (labelled squared, Si); both of these were described in the preceding section. They use grids (b) and (a) respectively of Fig. 12.5. The GaAs cell is also of the type made at our Institute and described above; it also used grid (a). In all these cases, the grid coverage factor was 10%. The cells reach their maximum efficiency at the concentration at which the ohmic drop equals the thermal voltage, that is at 11, 94 and
542
A. Luque
separation between fingers d
•*
•
' (a)
Figure 12.5
finger width w
-4
busbii widtn D
l2
•
; (b)
(c)
(a) squared, (b) rectangular and (c) circular grids for concentration.
559 Suns respectively. Keep in mind that these cells may operate at rather high efficiencies even at concentrations above those of their maximum. In the double bus cell we see that it is the emitter that provides the highest contribution to the series resistance, followed by the busbar. The use of the busbar equation, eq. 12.12, deserves some comment. One way of connecting these cells is by using four copper strips. Two are bonded to the cell front face, acting as busbars in parallel, and therefore halving rbus in eq. 12.12. But for a number of reasons the back contact to the cell is not made via the whole surface but only via two additional copper strips bonded to the cell edges. For these two busbars, eq. 12.12 is also applicable and the resistance due to these two busbars, acting in parallel, is also halved. However, both sets of busbars are in series so that the resistance is doubled. The net result is that eq. 12.12 can be straightforwardly (but not naively) applied. Such features reveal where to direct the effort in reducing the series resistance. In the double busbar cells, the busbars must be made wider and thicker, to the extent of what is practical. In addition, looking at the value of ree in Table 12.1, we see that, for a given grid coverage factor, the emitter fingers should be made as narrow as possible (and more closely grouped, to keep F constant) and the emitter sheet resistance should be decreased. The first consideration is associated with how narrowly the grooves may be laser-carved and with the way of filling them with metal. Reducing the emitter sheet resistance involves thicker or more heavily doped junctions, and this will probably reduce the short-circuit current. However, there may be a better trade-off. Ultimately these are the two aspects that today prevent the double bus cell from being used at higher concentrations. But at the same time the low relative value of the grid contribution would allow us to make the cell wider than it is now, and this would permit larger optical apertures that might render concentrators more cost effective.
Concentrator Cells and Systems
Table 12.2
543
Series resistance components in several solar cells Double bus
Squared, Si
Squared, GaAs
4 0.008 0.1 90 0.000312 0.3 0.03 0.0001 0.001 12 0.8 0.03
1 0.001 0.1 90 0.00312 0.3 0.02 0.00001 0.00001
0.3 0.0005 0.1 120 0.00624 0.0065 0.04 0.00013 0.00001
grid contribution (Q cm2) emitter contribution (Q cm2) base contribution (Q, cm2) emitter contact contribution (Q, cm2) base contact contribution (Q. cm2) busbar contribution (Q, cm2)
0.00416 0.0432 0.009 0.001 0.001 0.0125
0.0013 0.000675 0.006 0.0001 o.ooooi
0.000234 0.000225 0.00026 0.0013 0.00001
Total specific resistance (Q cm2) Resistance (Q)
0.0698 0.00146
0.00808 0.00808
0.00202 0.02241
Optimal concentration (Suns)
11
94
559
Concept Parameters finger length I (cm) finger width w (cm) shading factor F emitter sheet resistance Rne (Q) grid sheet resistance R^ (£2) base resistivity rb (Q. cm) base thickness H (cm) emitter contact resistance rce (Q cm2) base contact resistance rcb (Q cm ) busbar length L (cm) busbar width D (cm) busbar thickness tbm (cm) Contributions to resistance
In the squared Si cell, the emitter and grid series resistances are reduced by the narrow fingers and the small cell size. These cells are limited by their base resistance, and this is reduced by making the cells thinner and the base more highly doped. Thinner cells are difficult, but not impossible, to manufacture, and the base doping cannot be greatly increased without unacceptable lowering of the base carrier lifetime. Nevertheless we have fabricated excellent cells with bases of 0.1 Q. cm resistivity.
544
A. Luque
In the case of GaAs cells, the resistance-determining factor is the metal/semiconductor contact at the emitter, i.e. rce. This explains the complexity of some of the contacting structures described above. GaAs has some interesting features as regards concentration. It has very high electron mobility. In our case (n-type substrate) this makes the substrate (base) resistance negligible. However, since the hole mobility is not so high, in cases where the substrate is p-type it must be rather heavily doped. The n-substrate cell has a relatively large (p-type) emitter sheet resistance. This is not particularly harmful because of the narrow metal fingers used. Actually it is the small cell size that allows for a bigger value of rgg, and therefore of Ragy with negligible effect on the total specific series resistance. This makes it possible to reduce the metal thickness, which in turn makes it technically possible to reduce the metal width and therefore the emitter series resistance. This thickness reduction may not be possible in bigger cells, and thus their emitter series resistance may be a problem if the emitter is p-type. By making the emitter n-type, the problem may be solved even for rather large cells, provided the substrate, now p-type, is heavily doped. The grid shading factor F has to be optimised for a given concentration level. The first effect of grid shading is the reduction of the short-circuit current by the factor (1 - F). Also the grid provokes additional recombination that may be reduced if the electrical contact is made through a reduced area of physical contact, smaller than the fraction F. The optimisation can be quite quickly achieved by a trial-and-error method using spreadsheets. Precise values are not critical in this optimisation, but going to the higher concentrations is indeed a technological challenge. The series resistance calculation described above does not apply to the back-pointcontact cells shown in Fig. 12.2. In these cells there is no front grid whose dimensions must be constrained to ensure small coverage. Rather, there are two interdigitated grids on the back that can cover the whole back surface except for the small fraction needed for keeping the two grids apart. The coverage factor for each grid is thus slightly below 0.5, and the equation applicable to each is that for a single busbar grid. The two grids are in series. In back-point-contact cells the generated carriers flow together from the region of the surface where they are generated to the bottom of the cell, and only in its vicinity do they split, each carrier moving to its contact (holes to the p+ contact and electrons to the n+ one). As a consequence, this cell has no vertical base resistance. The only ohmic drop is caused by the carriers when they separate. This may be considered as a substitute for the emitter series resistance, except that it is very non-linear with current and cannot be considered as a constant series resistance. For a given coverage factor of the contacting dots, this term becomes smaller the more closely spaced dots are. In other words, it is worth going to small, but very closely spaced, dots.
Concentrator Cells and Systems
545
12.2.4 Thermal effects in solar cells In operation the solar cell temperature T is above the ambient temperature 7"amb by an amount approximately proportional to the luminous power incident on the cell. The constant of proportionality is the so-called thermal resistance RA (K W" ). This means that T-Tmb=RthPL=rthE
(12.13)
where r^ is the specific thermal resistance (the thermal resistance times the cell area; measured in K W"1 cm2) and E is the irradiance (luminous power per unit area; in W cm"2). A more detailed study of the cell operation equation—for most types of solar cells—reveals that there are some recombination mechanisms limited by the supply of minority carriers and others by both carrier types together. Thus the representation of the I-V cell equation with a single exponential, as in eq. 12.1, is not the most appropriate for a temperature analysis of the solar cell. It is better to use a twoexponential representation such as 1 = SLPL-I
exp
q(V + //?)") q(V + IR) -Gsh(V + IR) -'o2exP kT 2kT
(12.14)
In this equation the cell photosensitivity SL increases slightly with the temperature owing to the reduction of the band gap with semiconductor thermal expansion. The first exponential saturation current 70i is a function not only of the mobility and the minority carrier lifetime among other parameters which all vary slowly with the temperature, but also of the square of the intrinsic concentration. This produces a strong increase in 70i with temperature, mainly governed by an Arrhenius law with the band gap Ug as the activation energy. The second exponential saturation current, 702, also contains several parameters that vary slowly with temperature, as well as the intrinsic concentration, which follows an approximately Arrhenius law with activation energy Ug/2. Finally Gsh is introduced in eq. 12.14 to account for current leakage, often of unknown origin, which is important mainly at low voltages. This leakage is of small value (and of small interest) in a good cell and more particularly in concentrator cells, and we shall neglect it from now on. Values of SL, «0i a n d «02 (current densities) for various types of cells are given in Table 12.3.
546
A. Luque
Table 12.3 Cell photosensitivity, first and second exponential saturation current densities and thermal band gap for several solar cells at 25 C Parameter
Si-LGBC
Si-IES
GaAs-IES
SLCAW1)
0.335 1.88 x 10-12 6.25 x 10-8 1.206
0.340 6.34 x 10-13 1.79 x 10-8 1.206
0.228 2.52 x 10~19 2.16 x 10 _u 1.424
-2
I'OI(A cm )
j'o2 (A cm-2) U, (eV)
Taking everything into account, we can write the I-V equation with explicit temperature dependence as / = S L , 25 [l-a(r-298.15)]/> L (12.15) fq(V + IR)-Ugl -K o i exp
kT
- Km e x P
q(V + IR)-Ug2 2kT
where K0l and K02 have slow dependence on T, so that they can be taken as constant, compensating this approximation with a slight modification in the values of Ug\ and Ug2- Note that these two thermal band gaps are taken as different. In a first approximation they are equal, but the fact that the recombination takes place in locations where some band-gap narrowing may exist—so that the gap is variable with position—and the modifications induced by the temperature variations of K0l and K02 (henceforth taken as constant) imply that they may be slightly different. The temperature coefficient a in eq. 12.15, is 3 x 10"4 K"' in silicon. This value is small in most semiconductors and can often be neglected. The most important effect of increased temperature is a rather significant reduction of the voltage delivered by the cell at a given current. This reduction can be easily calculated from eq. 12.15. This equation—neglecting the term in a, and assuming that K0i and Km are independent of the temperature—is a function of the variable u = [q(V + IR) - Ug]/kT only. For constant current, u must be constant. This allows us to write the derivative of the voltage with respect to the temperature, at constant current, as dV AT
U./q-V-IR
(12.16)
This interesting formula shows how the voltage decreases with temperature. Note that the effect is higher when the voltage is smaller, so the effect is smaller at open
547
Concentrator Cells and Systems
circuit and higher at the maximum-power voltage. For silicon cells with open-circuit voltages of about 0.6 V and a band gap of 1.206 eV, dV/dT = 2.1 mV K"1, while in GaAs with voltages of about 1 V and a band gap of 1.424 eV, dV/dT = 1.4 mV K"1. Temperature effects drastically change the laboratory results shown in Fig. 12.1. There we found a monotonic increase of the power output as a consequence of the almost constant efficiency over a wide range of concentrations. However, increasing solar concentration usually increases the cell temperature, and the behaviour is totally different when temperature variations are taken into account. 0.2, 0.18 0.16
[
0.14
g. 0.12
I
0.1
% 0.08
-T=25, rth=0, r=66
0.06
-T=30, rth=25, r=66 T=30, rth=20, r=66
0.04
T=10, rth=25, r=66
0.02 T=30, rth=25, r=40 0 4—I—I—I—I—I—I—I—I—I—I—I—I—I—i—I—I—I—I—I 1 5 9 13 17 21 25 29 33 37 concentralion (Suns)
Figure 12.6 Efficiency vs. concentralion for a cell including temperature effects. T (C) is the ambient temperature, ru, (K W 1 cm") the specific thermal resistance and r (Q cm2) the specific series resistance.
Figure 12.6 shows the behaviour of a solar cell under real operation. We have drawn a thicker reference curve (simulating the behaviour of a real concentrator, the EUCLIDES prototype) for an ambient temperature of 30 C, a specific series resistance of 66 m£2 cm2 and a specific thermal resistance of 25 K W"1 cm2. We can see that the efficiency peaks at rather low concentration of 3 Suns, and then decreases significantly. For comparison we have drawn the isothermal case already studied (this is the curve with zero thermal resistance, which can be achieved at high cost and energy expense in a laboratory). We have also drawn the curves corresponding to a lower ambient temperature (as occurs in winter operation) and a lower thermal resistance. This is actually achieved quite often in days with moderate wind. High wind speed reduces the value of r,h significantly if natural convection coolers are used, as is commonly the case.
A. Luque
548
o
— i — i — i — i — i — i — i — i — i — i — i — i — i — i — i — i — i — i —
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 concentration (Suns)
2
Figure 12.7 Power output (W cm" ) for cells operating under concentrated sunlight, taking temperature effects into account. The nomenclature in the legend is the same as in Fig. 12.6.
The cell temperature changes with the concentration (or irradiance) level, and can easily be calculated from eq. 12.13. For instance, for the baseline cell with a specific thermal resistance 25 K W_l cm2 and an ambient temperature of 30 C, the cell temperature is 75 C at 10 Suns (1 W cm"2). Still more interesting is the power output, shown in Fig. 12.7, which peaks at a certain concentration due to temperature effects. Operating above this value is not cost-effective, and in general the most cost-effective operation will be below the peak because in this way some optical component area is saved. We can see that low ambient temperature produces a significant improvement in module operation, but the real shift of the optimal concentration is obtained when the thermal resistance is reduced. A smaller improvement is found for a reduction of the series resistance. From inspection of the curves it is evident that the cells under study are appropriate for operation between 25 and 30 Suns (see Fig. 12.7), although with efficiencies in the range of only 7-9% (Fig. 12.6). In reality cells of this type are used more at efficiencies of about 11% with concentrations of -20 Suns in summer time and at lower concentrations, leading to higher efficiencies, in winter time. This pronounced decrease in the efficiency from standard (at 25 C) to operational conditions is not only found in concentration systems. Flat PV modules are also subject to strong output degradation with increasing temperature, having specific thermal resistances about 10 times higher (200 K W~' cm2) than those in Figs. 12.5 and 12.6. If we fabricate a flat module with the Si cell used in our calculations, its efficiency at standard conditions (one Sun and cell temperature of 25 C) will be 15.33%. However, the outdoor efficiency at 1-Sun irradiance is reduced to 12% if the ambient temperature is 30 C and, from eq. 12.13, the cell temperature becomes 50 C.
Concentrator Cells and Systems
549
Usually 1-Sun cells have standard efficiencies below 15.33%, so their operational efficiency is below 12%. All these things mean that, in long-term field evaluation, flat modules tend to be one percentage point less efficient than good concentration modules.
12.2.5 High-injection effects in concentrator solar cells Most solar cells operate in low injection, that is, the doping density and majority carrier density by far exceed the minority carrier density. However, in some cases, and more particularly under concentration, the minority carrier density approaches and exceeds the doping level. This high-injection mode of operation is favoured by doping the cell base lightly (the heavily doped zones adjacent to the contacts always remain in low injection). Regardless of the injection level, almost the entire solar cell volume (excluding the case of some thin-film cells) remains charge-neutral. Thus in a p-type base the acceptor density plus the electron density equals the hole density. In the low-injection mode, minority carriers (electrons) may have almost any density required by the cell operation, charge neutrality being assured by the majority carrier (hole) density, which almost equals the doping (acceptor) density. In very-high-injection mode, the doping density is much smaller than the minority carrier density and in this case charge neutrality is assured by the almost equal density of electrons and holes. The operation of solar cells is deduced from knowledge of the carrier densities in the whole cell. In low injection, the minority carrier profile may be calculated from the continuity equation, a second-order linear differential equation with linear boundary conditions, that for homogeneous doping allows a simple analytic solution in one dimension (Shockley, 1949). The majority carrier profile can be obtained almost everywhere from the neutrality equation. In the very high injection case—with electron density equal to hole density—the continuity equation also leads to a secondorder linear differential equation and the solutions are also analytic (Luque and Eguren, 1982), in spite of the non-linear boundary conditions applicable in this case. A more complete study of the intermediate-injection operation of the solar cell can be found in the literature (Araujo and Ruiz, 1989). Here we shall give only some characteristics of high-injection cells, and of the PC (point contact) cell in particular. Cells of conventional structure, with base resistivities of 10 Q. cm or more, operate in high injection at open-circuit conditions even at one Sun. When the irradiance increases, this behaviour is extended to maximum power point (MPP) conditions. At
550
A. Luque
short circuit, the low voltage imposed externally makes it difficult in most cases to continue in high injection. This point will be analysed later. Possibly the most important feature of high-injection operation is the appearance of a voltage in the high-low (pp+ or nn+) junction, which is absent in low injection. Careful fabrication of this junction is needed to prevent loss from this voltage. The voltages present in the pn and high-low junctions for ap-type base are r 1/ V
k l
P«
+
= —' Ii n
k T
1/
nNB
^
v ^7
V . = — In P P
(12.17)
q
q
(12.18)
where yVB is the base doping and n, the intrinsic carrier density. In both equations the carrier density p refers to the base side of the pn+ and pp+ junctions. This equation applies to the n-type case if n is changed into p and vice versa. A Dember voltage (associated with the different mobility of the carriers) also appears when there are gradients in the profiles. This is not as important as the voltages at the pn+ and pp+ junctions, but it should be taken into account as it adds to the cell voltage when the p face is illuminated, and this may help to increase the efficiency of p+nn+ cells. In low injection (n«A^B), the voltage in the pp+ junction disappears so that we only need to use eq. 12.17. For the low-injection cell, the lower NB, the lower the voltage. However, this reduction ceases when very-high-injection conditions («>>A'B) are achieved because in this case the sum of the voltages in eqs. 12.17 and 12.18, V = (kT/q) In (n2/n,2), is independent of the doping density. Therefore at first glance it might appear that high-injection cells will display lower voltages than low-injection ones. In fact this may not be so, because high-injection cells, with a lightly doped base, will suffer less recombination there and thus have higher values of n. Also at first glance, the ohmic losses associated with the vertical current flow in the base, as indicated by eq. 12.7, seem to be higher if the base is more lightly doped and therefore of higher resistivity. However, we have to take into account the pronounced reduction of base resistivity in cell in high-injection mode that results from the increase of the carrier concentration well above the doping level. (This is the so-called conductivity modulation effect.) Accordingly the base resistivity to be used in eq. 12.7 is given for n-bases by
551
Concentrator Cells and Systems
ue+uh Pics n pb--
"ft
PbO
= PbO "A
N
B
(12.19)
^B
where the w's are the mobilities for electrons and holes, p w is the low-injection base resistivity and Pics is an intercarrier scattering resistivity, discussed later. Let us disregard for now the term containing pics- As for p M = l/uhNB, eq. 12.19 reflects the contribution that minority-carrier conduction makes to reducing the overall resistivity. The base resistivity tends to zero when n increases, removing the fundamental limitation of series resistance set by the base according to eq. 12.7. However, as noted by Kane and Swanson (1989), an inter-carrier scattering term Pics = 0.02 Q. cm that constitutes the ultimate value of the base resistivity appears when n is very high. For n-bases, the formula is similar: n and subscript e become p and subscript h, and vice versa, and Pics is the same. In consequence, for very high concentration operation, it seems that high-injection operation tends to be favourable. For cases where the concentration is so high that the base is going to be in high injection, it is better to use lightly doped bases because in this way base recombination is reduced and the base series resistance is also reduced, not only by the increase of the density of carriers but also by the higher values of ue and uh due to the smaller impurity-carrier scattering. However, for practical levels of concentration all these advantages are lost if recombination is not sufficiently suppressed and the minority carrier density is consequently not high enough to benefit from low base series resistance. In this very common case, the use of low-injection cells is to be preferred. In fact, the best concentration silicon solar cells—putting aside the more efficient back PC cell—have yielded the same efficiency when properly designed for high or for low injection. Figure 12.8 shows a two-sided contacted point contact cell that operates in highinjection mode (Cuevas et al., 1989). This cell has the following features: a) the base is highly resistive (n-type 100 Q cm); b) the emitters are point contacts, the p emitters being located at the front face (under the metal fingers) and the n emitters at the rear face; c) the surfaces are well passivated; d) the metal fingers are deposited on angular ridges so that the light falling normally on them is reflected onto the silicon again; e) the surface is covered with inverted pyramids. Low-injection cells were also fabricated with the same structure. The high-injection cell gave higher current, lower voltage and a lower fill factor. However, the overall efficiency was about 1% (additive) higher, reaching the 26.3% at 50 Suns (AM1.5D spectrum, 25 C, Sandia confirmed).
552
A. Luque inverted pyramids
Figure 12.8
Two-side contacted point contact cell (Cuevas et ai, 1989).
On the low-injection side, a PERL solar cell for concentration has been fabricated (Zhao et al., 1990) with 15% grid coverage and a prismatic cover (which we shall explain later), that gave 26.7% at 100 Suns (AM1.5D, 25 C, Sandia confirmed). The behaviour of high- and low-injection cells in short circuit is rather different. In low injection, the p-n front junction becomes very weakly biased and recombination in the emitter is almost entirely suppressed. In contrast, in high-injection cells the carrier profile is forced by the continuity equation to be lower at the rear side, following a negative slope (Araiijo and Ruiz, 1989) of value illqV^Uh (in p-bases). When the voltage in the front junction decreases, the values (not the slope) of the profile also decreases and the region of the base situated at the back of the cell enters into low injection. This provokes a strong base resistance to appear, so that the shortcircuit situation is characterised by a quite strongly forward-biased front junction, compensated by a strong ohmic drop in the low-injection part at the rear of the base. This means that emitter recombination is strong in short circuit, causing the shortcircuit current to be smaller than in the low-injection case. This effect is increased at high short-circuit currents caused by the higher concentrations. It is reduced by making the bases thinner (Terron and Luque, 1994) or by using rc-bases (of higher mobility). However, this is one of the causes of the poorer behaviour of most highinjection cells in concentration. This effect is not important when the emitter recombination is very small, as is the case for the point-contact cell of Fig. 12.8. To summarise, high-injection cells have some advantages for operation under concentration, in particular—and quite surprisingly—when the concentration level is very high. However, this statement has not been experimentally proved. What seems without doubt is that high-injection cells can only be better than low-injection ones with a very refined technology that strongly suppresses recombination.
Concentrator
Cells and Systems
553
Figure 12.9 Carrier profile in a point-contact cell at the maximum power point, 100 Suns. Width refers to distances along a line contained on the cell surface, passing over the n and p contacting dot centres.
A case in which high-injection operation is mandatory is in back-contacted PC cells. In Fig. 12.9 we show the calculated carrier profile (Luque, 1988) of a PC cell in MPP conditions at 100 Suns, which has an efficiency of only 23.2% (no texturing, no light confinement). We observe an essentially one-dimensional profile that decreases from the front to the back of the cell. Close to the point-shaped emitters (which are relatively large in this cell), we can observe the carrier density valleys necessary to drive the electron flux towards the /; region and the hole flux towards the p region. For a given fractional coverage of the rear surface, say 10%, with one type of emitter (n or p), the depth of these valleys increases with the emitter size. When the emitters are very small but very closely spaced, so as to keep the coverage fraction constant, the wells become negligible. If the coverage is decreased, then the wells are increased in depth, as they are if the current density is increased, for example by increasing the incident irradiance.The voltages at the np* and nn* half-junctions are given by the carrier concentrations at the bottom of these valleys, in accordance with eqs. 12.17 and 12.18, so a given voltage determines the carrier densities at the bottom of the wells. When the voltage increases, the carrier density at the valley bottom increases and causes an increase of the carrier density outside the valleys, at the back cell surface. This increase is transferred to the whole density profile in the onedimensional region of the cell. Therefore the recombination increases and the extracted current decreases.
554
A. Luque
The sloping profile in the one-dimensional region of the cell causes strong Auger recombination. This makes this cell very sensitive to thickness, because of the strong non-linear character of Auger recombination. For the same reason, the photosensitivity Si. is sub-linear with concentration. This hampers cell operation at very high concentrations. Leaving aside the small voltage drop in the concentration wells, this cell has no other contributors to its intrinsic series resistance. No current goes through the base, and therefore no ohmic drop is produced there. Only the extrinsic series resistance of the interdigitated rear metal grid introduces series resistance, but this may be reduced by using wide fingers since no allowance for light to enter is required. These factors favour the operation of this cell at high concentration. The arguments in the last two paragraphs are opposite as regards the merits of high-concentration operation of the point-contact cell. In reality, the effective suppression of recombination and the absence of grid shading makes this cell, as we have already noted, the best-performing silicon concentration cell to date, able to operate at an efficiency of 26.8% at 96 Suns, and above 23% at 250 Suns.
12.2.6 Methods of avoiding grid shading One of the interesting features of the back-point-contact cell is the absence of shading by a grid. Other methods of avoiding grid shading can be useful where there is a front grid. The ingenious prismatic cover shown in Fig. 12.10 (O'Neill, 1987) deflects the light from the metal fingers, increasing the useful intercepted radiation. This allows the fingers to be placed closer together, so reducing the series resistance. In this way part of the uniqueness of the back PC cell is lost. The use of this cover has permitted
deflected rays
metal Figure 12.10 Prismatic solar cell cover.
Concentrator Cells and Systems
555
the PERL cells (26.7% at 100 Suns) almost to equal the efficiency achieved by the PC cell in concentration (26.8% at 96 Suns). A similar principle is used in the cell shown in Fig. 12.8, in which the fingers are deposited on textured wedges so that much of the light falling on them is reflected into the cell. light entry aperture
Figure 12.11
Ellipsoidal light-confining cavity.
Another way of reducing the effect of the reflection caused by the grid, and also the area not covered by the grid, is the use of light-confining cavities like the one in Fig. 12.11 (Minano and Luque, 1994). The cavity cover is internally mirrored so that any ray reflected by the cell is reflected back into it by the cavity. The short-circuit current inside the cavity is given by (Minano et al, 1992) r /
. -
p
t
uS AL n AL dA
/„(cavity) = J 1
r
-
(12.20)
A.C U vily , A.ccll A
where PXL is the spectral luminous power falling on the cell from the source (usually from the concentrator), S\L is the spectral photosensitivity (or spectral response), rXcCn and Ouaviiy a r e t n e cell and cavity reflectivities, and A is the confinement efficiency (the proportion of the reflected luminous power returned by the cavity to the cell in absence of reflection losses). If the cell is a lambertian reflector, the expression for A for ellipsoidal cavities is A= l-
inlet area equator area
(12.21)
In the absence of a cavity, eq. 12.20 can be used to calculate the short-circuit current by setting A = 0. Figure 12.12 shows the /-V curves of a GaAs concentration cell with and without a cavity. The cavity increases the current by 9.0% and the efficiency by 7.5%. This is close to the value of the grid coverage factor, which in this cell is 11.1%.
556
A. Luque
Efficiency • 24.4%. („= 1.58 A, V„,= 1.156 V,FF = 0.792
-
" " * •
Efficiency = 22.7%, (.,= 1.45 A, H,= 1.157 V.FF • 0.798
" ^ X ^
E = 62.4W/cmz, T= 23.8 C, NDI = 74.9 mW/cm*
-0.2
0
0.2
1
1
1
__i
0.4
0.6
0.8
1
1.2
Voltage (V) Figure 12.12 I-V curve of a GaAs solar cell fabricated at the IES inside (red line) and outside (black line) a light-confining cavity. The current is increased by 9% by use of the cavity. The measurements were taken outdoors, with Normal Direct Irradiance (NDI) of 74.9 mW cm"2.
If we compare the procedures for avoiding grid shading presented here, the best is the back PC cell, where no front grid exists. Prismatic covers must be designed so that all the rays from the concentrator, coming from a variety of directions, are deflected beyond the fingers. Such a cover does not allow the effective use of secondaries (see Section 12.3.2. Also it is somewhat limited as to grid shapes and sizes. Cavities are better adapted to the complex grids used for very high concentration, but they also make secondaries difficult to use.
12.3 Tracking concentrators 12.3.1 Concentrating panels and systems Figure 12.13 shows the first modern photovoltaic concentrating panel, developed at Sandia National Laboratories in the late 1970s (Burgess and Pritchard, 1978). Each elementary concentrator is formed by a point focus Fresnel lens (see Section 12.3.2) that casts the radiation onto a circular cell of about 5 cm in diameter. The concentration ratio is about 40x and total rated power about 1 kWp. A set of 15 x 8 such elementary concentrators is attached to a beam that rotates on a horizontal axis (elevation tracking). This beam is placed on the top of a pedestal and also rotates as a whole in azimuth. Jointly, this is the elevation-azimuth two-axis tracking mechanism.
Concentrator Cells and Systems
557
We shall refer to this tracking configuration as the pedestal type. The tracking electronics of this system are based on a sensor that gives an error signal when the Sun is out of aim. Since the panel movement is very slow—one turn per day—the power spent tracking the Sun is negligible, usually less than 1% of the energy produced. In this first prototype, the cooling was provided by cool water feed into the cell holder.
Figure 12.13
Photovoltaic concentrator panel fabricated in the late 1970s at Sandia National
Laboratories, Albuquerque, NM.
This concept has been copied in several research prototypes, among them our Ramon Areces panel, installed in the late 1970s (Sala et a/., 1979). In later prototypes (including the Ramon Areces), cooling of the cells was achieved by an extruded aluminium multifm heat sink. A closed housing was also provided to protect the cells from the environment. In some cases, parquets of several lenses were fabricated to facilitate the assembling. The passive-cooling modified Sandia Labs design has been adopted by several manufacturers, including Martin Marietta, who installed about 350 kWp in Saudi Arabia in the early 1980s (Salim and Eugenio, 1990). Today some companies, for instance Alpha Solarco and Amonix (Garboushian et aL9 1996) are using the same concept to develop large panels in the 15-25 kW range. While many other designs were considered in those days, the next original concept that came into reality was the ENTECH concetrator. A plant of 300 kWp and several other smaller ENTECH arrays have so far been installed (O'Neill et al.9 1991). In this concentrator, the cells are series-connected in a linear row located under an arched
558
A. Luque
Fresnel lens of linear focus, as shown in Fig. 12.14. Such arched lenses are strikingly insensitive to their position. The concentration ratio can be up to 20x, and in some cases screen-printed cells are used. Cooling is again effected with extruded heat sinks, and a housing encircles the whole module.
Figure 12.14 ENTECH concentrator array. This has axial focus curved lenses, tracking the hour angle in a frame that tracks the Sun's elevation angle.
The concentrator array comprises a set of linear cell/lens modules in an elevated east-west oriented frame. Each module can rotate separately to follow the hour angle, and the frame as a whole can rotate in elevation on two supporting poles situated at its east and west ends. This is an elevation hour angle tracking mechanism. Its tracking control is similar to that of the Sandia prototype. A concept developed jointly by BP Solar and our own Institute, in an EU joint project in which the University of Reading and ZSW-Stuttgart also participated, is the EUCLIDES concentrator (Sala et al., 1996) shown in Fig. 12.15. The rationale behind this is to have a high voltage output, able to feed an inverter without the use of an intermediate transformer. The output required for this is 600-650 V DC. For this many cells (-1400) must be connected in series and this results in very long arrays (84 m in the commercial version). The arrays should therefore be horizontal and have a one-axis horizontal tracking. This implies linear mirror optics, because linear lenses change their focal distance when the Sun is at inclined angles. Once these decisions are adopted, the concept of cell housing is no longer valid. Instead, cells are encapsulated in receiving modules inspired by flat module encapsulation, which provides excellent environmental protection. The receiver module is formed of an aluminium tray, on which the cells are stuck on a layer of material that is an electric insulator but a good thermal conductor. The cells are electrically connected in series and covered with a glass. The inside of this module is filled with a transparent resin.
Concentrator
Cells and Systems
559
Figure 12.15 View of the one-axis tracking EUCL1DES concentrator. The cells, encapsulated inside modules, are the darker strip that can be seen in the Figure (there is another strip underneath). There are two separated asymmetric parabolic mirrors illuminating two rows of cells.
The concentrating optics are made of mirrors instead of the Fresnel lenses used previously in all (successful) photovoltaic concentration designs. The mirrors are parabolic in outline, and their profiles were optimised using non-imaging optics (Luque, 1980), so as to allow for the highest manufacturing errors for a given level of concentration (geometrical concentration of 32x). The focal distance, position of the axis, useful arch within the infinite parabola, and the receiver (cell) angle, were also optimised. Since this mirror profile was not available in the market, and because of the precise profile that was required (that we were not sure could be achieved with glass), a new fabrication technology was developed using a weather-protected 3M silvered layer laminated onto a thin aluminium sheet that was subsequently formed to the desired shape with high precision and then stuck to a supporting aluminium frame. The performance of the present prototype has already been reported (Luque et a/., 1987). A 480 kWp demonstration plant was installed in June 1999 and is now being connected to the grid in Tenerife. Performance data for the plant are not yet available. Figure 12.16 shows a photograph of part of this plant.
560
A. Luque
Figure 12.16 Seven of the fourteen arrays constituting the EUCLIDES demonstration plant installed in Tenerife by the ITER, the DES and BP Solar. (Reproduced by courtesy of Inspire S.L., one of the plant contractors.)
Cooling is provided in the EUCLIDES module by means of an aluminium-finned heat sink, the aluminium sheets being held together by a core stuck onto the aluminium tray of the modules. Cooling by natural convection is more effective in vertical fins than in the inclined fins used in the two-axis tracking configuration, so less aluminium is required for the same cooling performance. The structure, which holds two rows of cells and mirrors as shown in Fig. 12.15, consists of a long horizontal reticulated beam rotating on a large centrally placed wheel that rests on two smaller wheels. This configuration also provides the tracking mechanisms. Two additional passive supports provide the vertical reaction to the weight at the beam ends. The tracking control is provided by a microprocessor that calculates the correct aiming of the system at any moment of the year, based on astronomic data. However, in order to account for inaccurate module positioning, a feedback based on the system output is occasionally used and a table of corrections of the astronomic calculations is generated, aiming at maximising the power output.
Concentrator Cells and Systems
Table 12.4
561
Some concentrator arrays and their characteristics
Company
Type
Concentration
Minimum size(kW)
Problems with New system Comments previous design under test
Alpha Solarco
point, Fresnel
250x
25
Multiple problems with original
New to come New with glass lenses in 1997 from China
Amonix
point, Fresnel
250x
20
Tracking
4-Team-up, no problem
Australian National. University
linear, trough 25x
0.3
Building multi-kW
BP Solar
linear, trough 32x
10
480 kW demonstration in Tenerife
ENTECH
linear, Fresnel
20x
1
Tracking at PVUSA 95 (an US R&D program)
300 kW& plus without serious problems
Just announced 1.5 MW for CSTRR
Midway Labs
point, Fresnel
300x
0.23
Previous didn't work (1996)
Edison HI: no problems with latest design
Now competitive with flat modules for >230 W
PV International
linear, Fresnel
15x
1.5
TEAM-UP: doing well
Ready to market in 1997
Solar Research Corporation
point, dish
400x
1
Starting to market
Developing prototypes
Source: Photovoltaic Insider's Report XVI, January 1997, pp. 1-3. The comments therein come from the source, not from this author.
Other smaller prototypes have been developed using combinations of the preceding designs. For instance, a point-focus concentrator in an elevation-hour angle frame configuration like that of ENTECH has been developed by Midway Laboratories. Other less fully developed ideas have also been published. For instance, one that has been suggested is a large reticulated platform resting on wheels or even floating on water to provide the azimuth tracking. On this platform, rows of arrays would be installed, each with its own elevation tracking mechanism (Alarcon et al., 1982). Table 12.4 gives a brief description of a number of concentrators.
562
A. Luque
12.3.2 Principles of optical design In many cases the optics used in photovoltaic concentration are simply derived from elementary geometric optics, using mainly the refraction and reflection laws. Design, when not trivial, is done by ray-tracing codes based on these laws. In particular it is known from elementary geometry that, in two dimensions, a parabola focuses all incident rays parallel to its axis onto its focus. Where the rays will fall when they come from small angles off the axis is also a simple matter to determine. In general, a receiver at the focus is designed to collect all these rays, and this puts a limit to the maximum achievable concentration. Lenses may also be used in an elementary way, although thick lenses are usually (but not always) avoided in concentrator optics because they are expensive. Fresnel lenses are generally used instead. These are usually made of plastic and are widely used, for instance in overhead projectors. They consist of a set of small prisms that deflect incident rays according to the Snell laws. In thin continuous lenses, only the tangent orientations (derivatives) at the entering and exiting faces of the lens are relevant to the optical design. The same is true of Fresnel lenses, so the derivatives of the continuous lens may be replicated. However, in the case of continuous lenses there is a link between position and derivative, while in the case of Fresnel lenses every prism may be designed independently, thus providing an extra degree of freedom. In solar applications, this extra degree of freedom can be used, for example, to improve the homogeneity of the irradiance incident on the cell. Fresnel lenses can be fabricated at much lower cost than classical lenses; those adequate for solar use cost in the range US$30-50/m2.
Figure 12.17 Schematic of a Fresnel lens.
What we usually desire of the optical design is to achieve the highest possible concentration with the highest optical efficiency. In addition we wish this efficiency to be maintained even under aiming errors or manufacturing imperfections. For this we must, in general, reduce the concentration. Sometimes this is not very detrimental because the cells cannot operate at the highest concentration allowed by the optical system, but in other cases this is not so. Moreover, we usually want the concentrator to produce uniform illumination of the cell, that is, homogeneous on it and zero outside. This is a hard condition that can only be partly fulfilled.
563
Concentrator Cells and Systems
The theorem of conservation of the radiance, also known as the theorem of conservation of the etendue (Welford and Winston 1978), establishes that the highest concentration can be achieved only if the cell is isotropically illuminated by the concentrator. This concentration is 2
C = —\= 46747„2 sin 0 S
(12.22)
where n is the index of refraction of the medium surrounding the cell and
564
Table 12.5
A. Luque
Maximum concentration for concentrators accepting all incident rays
Concentrator type
Angular s acceptance CS(C2)
circular reflective parabolic 11678 dish 67666(16.1) parabolic dish with secondary {n = 1.49) 376 square flat Fresnel lenssquare cell square flat Fresnel lens with 12356(42.1) axisymmetric secondary (n=1.49) 22 linear, flat Fresnel lens 54 linear, arched Fresnel lens 108 linear, parabolic reflector
„ _.„, 0.265" apertUrC
Angular s acceptance Q(C2)
1°
.
apertUre
f/0.50
821
f/0.50
f71.51
4752(16.3)
f/151
f/1.35
73
f/1.19
f/2.12
1856(38.4)
f/1.98
f/1.74
10 26 29
f/1.38
f/0.50
f/0.50
Source: Luque, 1989. C, is the overall geometrical concentration (primary optical aperture to cell area ratio), Ci is the secondary geometrical concentration (secondary aperture to cell area ratio). Aperture diameter or width (for the primary) is the (freely selected) focal distance divided by the number in the table (f-number).
Secondary concentrators are an added concentration stage to some concentrating systems. Where there is a secondary, the primary is designed to cast the rays on the secondary entry aperture, which is bigger than the cell; in this way accuracy problems are eased. For secondaries, the theoretical problem is to design concentrators that cast bundles of rays from an extended source—in this case the primary—into the receiver without trying achieve point-to-point imaging. Such optics are called non-imaging (or, from the Greek, anidolic) optics. A simple secondary is a reflecting cone, which collects the incoming rays through its larger circle and redirects them to the smaller circle in which the cell is situated. Dielectric-filled compound parabolic secondaries (Ning et al, 1987) and trumpet concentrators (Winston and Welford, 1979a and b) have also been used. Besides their enhancement of concentration for a given acceptance angle, some secondaries have light-homogenising properties. Another concentrator concept under development in our Institute is based on the ultra-high-flux concentrator designed by the Simultaneous Multiple Surface (SMS) method (Minano and Gonzalez, 1992). This concentrator is of the RXI-type shown in Fig. 12.18 (Minano et al, 1995). In this, the rays are first refracted (R) by lens front
Concentrator
Cells and Systems incoming rays
Figure 12.18 Ultra-high-flux concentrator made by the SMS design method. This concentrator has a diameter of ~3.2 cm and is made of acrylic.
total internal reflection (I) at the front surface. Total internal refection requires an oblique incidence on the surface at an angle higher than sin" (1/n), where n is the index of refraction of the lens. This cannot be fulfilled over the whole surface, so a small mirrored dot is deposited in the centre. The two surfaces are shaped simultaneously in a point-by-point computer routine, using advanced concepts of nonimaging optics. Although not sought, this concentrator does in fact form rather perfect images. In this concentrator, the optics acts also a protective covering for the cell. For assembly we plan to use techniques already familiar in the optoelectronic industry. The ultimate objective is to fabricate multi-lens boards to be fitted with the highest efficiency cells. The consortium performing this research under the sponsorship of the European Union includes our Institute (as co-ordinator), the Ioffe Institute of St. Petersburg, the Belgian cell manufacturer ENE, the German optoelectronic manufacturer TEMIC, and the Russian optical manufacturer Protechn. Experimental results, well interpreted by models, have shown an optical efficiency of 90.2% for a geometrical concentration of 1077.4X. An off-axis angle of ±1.6° leads to a 10% reduction in optical efficiency. With the high concentration GaAs cells currently available, a solar-to-electricity efficiency of 19.3% (irradiance 843 W m-2, cell temperature 25 C) has been achieved. This has fulfilled the project goals and the project has been rated as very satisfactory by the European Commission. However, the results already achieved could be substantially improved by AR coating to provide better optical matching, and by reducing light inhomogeneities in the concentrator. A new consortium has been formed under the co-ordination of Isofoton, in Spain, which has a joint venture with ENE to marketi an ultra-flat GaAs concentration module, to further develop this concept. Sunpower in the USA is also developing this type of concept, jointly with our Institute, for their PC high efficiency Si cells.
566
A. Luque
12.3.3 Mounting and cooling of solar cells and module housing The mounting of solar cells has to achieve four functions: it has to allow for the extraction of the current produced by the cell without adding a significant external series resistance; it has to provide a heat sink to allow the cell to remain relatively cool; it has to provide electric insulation of the cell so as to permit series connection of a number of cells while keeping the structure grounded for safety; finally, it has to provide adequate protection from the surroundings. In the EUCLIDES concentrator, which is used with rectangular cells of the type shown in Fig. 12.5b, current extraction is achieved by solder bonding two copper ribbons to the two lateral busbars of the cells, forming the negative contact, and two additional copper ribbons to the cell back, aligned to those in front, to form the positive contact. There are problems in doing this because the different linear expansion coefficients of the copper and the silicon produce stresses that may cause the cell to fracture as it cools down after the contacts are solder-bonded. In general proprietary procedures are used. The use of smaller cells, such as those with point-focus concentrators, reduces the problem because the stresses accumulated in the smaller sizes are lower. Thus in the case of smaller cells, the cell back may be solder-bonded at its back side to a metal support that forms one electrode. In our Institute, a thick silver layer is electrolytically deposited on the cell back, and silver-saturated solder is used to bond to this so as to avoid dissolution of the back contact. The front contact may be made to the thick copper sheet on the upper face of a printed circuit board; the bonding itself is done by multitude of wires or strips between the busbar and the printed circuit board. Protection from the environment may be achieved in various ways. In concentrators using Fresnel lenses, this protection is achieved by the housing. The whole lens-cell system is put in a protective box that prevents the accumulation of dust both on the cell front and on the lens back, where the grooves forming the prisms are engraved. In the EUCLIDES concentrator, the concept is totally different. The cells are glued to an aluminium tray using an insulating layer that provides the required electric insulation and good thermal contact. As the contacting ribbons are bonded to the cell sides, the tray is shaped to accommodate them. Finally the whole package is covered with a glass and filled with transparent polymer. Thus a receiving module is formed following techniques inspired by those used in flat modules. Electric insulation of the cell has to be combined with good thermal contact. This is, in general, a proprietary part of the concentrator technology, leading in some cases to very sophisticated solutions whose complexity, not often being published, remains
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unnoticed, even to many PV specialists. For instance, crystalline silicon of high resistivity can be used as the basic element for assembling back-point-contact cells, providing simultaneously the electric connection, the thermal contact and the electric insulation. The heat sink is, in most cases, passive, meaning that the heat is dissipated by natural convection to the air. This may be achieved by multi-finned structures or even by a single flat copper or aluminium plate placed at the back of the cells. The heat is produced at the cell itself, mainly where light absorption occurs. This tends to be at the cell front. Thus most of the heat must go through the cell volume to the cell-heat sink interface, and then inside the heat sink along the fins to the fin-air interface, where the heat is transferred to the ambient. Temperature gradients are the driving force for this heat flow, so some temperature rise over the ambient cannot be avoided. In many of the parts of the path, the heat flows by conduction so the heat flow density is proportional to the gradient of the temperature, the thermal conductivity K being the constant of proportionality. This law, formally equivalent to Ohm's law of electric conduction, justifies the use of an electric equivalence between heat and current flow. In this equivalence the heat flow plays the role of the electric current and the temperature that of the electric potential. For a rod of cross section A and thickness t the thermal resistance (K W"1) is then Rlh=tlKA
(12.23)
Table 12.6 gives the thermal conductivity of some common materials, and shows the importance of the encapsulation materials. Copper and aluminium are good conductors but other metals are poorer. However, there are metals (like iron, K = 0.5 W cm-1 K_1) with a linear expansion coefficient better matched to Si than is Cu, and with a reasonable thermal conductivity, so that they can be used as the stage where the cell is bonded. Air has been included because it may form voids or gaps between mechanically attached parts, and this may be very deleterious, resulting in a serious increase in thermal resistance. Finally the heat flow will find an interface with a fluid, usually air. This air may remove heat either by natural convection—the surrounding air being at rest—or by forced convection—when the air is in movement, perhaps because of natural wind. To model convection a heat transfer coefficient h (W cm-2 K"1) is used. The modelling of h is an involved matter. Its value varies from 5 x 10~* W cm"2 K"1 for natural convection and vertical fins, to (10-15) x 10"4 W c m 4 K " ' for wind speeds of 1-2 m s~ . Smaller values may be found for natural convection when the fins are not vertical, as is often the case for concentrators with lenses.
568 Table 12.6
A. Luque
Thermal conductivity of some common materials
Material
Thermal conductivity/ Wcm^KT1
Material
Thermal conductivity/ Wcm -1 K _1
Si GaAs Cu Al
1.45 0.8 3.85 2.1
Solder Air Glass A12Q3
0.5 0.000252 0.007 0.375
Source: Sala, 1989 and Bird et al., 1982.
Cooling by water is much more effective, with h values that may lie in the range (400-3000) x 10"4 W cm-2 K_1. Water cooling is often used for experiments, but not for commercial concentrators. We think the use of water may strongly reduce reliability and detract from the commercial attractiveness of PV solutions. When a fin structure is used, its specific thermal resistance can be calculated as r& = A^AfJif, where A^ must take into account the two faces of each fin and / allows for the fact that not all the fin area is at the same temperature: some parts are colder and their effectiveness in heat transference is smaller. In well-designed fins,/is 0.7-0.8. A worked example allows us to see the importance of the different elements of the encapsulation. Assume a Si solar cell of area 1 cm2, 200 /an thick, bonded with 50 urn of solder to a copper slab 0.2 cm thick that is mechanically fixed (with a gap of 3 |xm) to an alumina (A1203) insulating layer of 500 /an thickness, and then (with another 3 /an gap) to a fin structure whose area (over the two faces of the fins) is 1200 times that of the cell. Figure 12.19 shows such a structure. Taking h = 5x 10"4 W cm"2 K-1 for the air-fin interface and a value o f / = 0.75 for the fin quality factor we calculate the total specific thermal resistance as r^ = 4.81 cm2 W 1 . To obtain this result we have used the formula for the fin-air interface (inserted in the text) as well as eq. 12.23 (this equation becomes r^ = t/K for specific thermal resistance) for all elements in the pile in which heat flows by thermal conduction. If the cell is at a concentration of 100 Suns (10 W cm-2) its temperature will be 48 C above the air temperature. The thermal drop will be distributed as follows: 0.13 C in the Si, 0.1 C in the solder, 0.52 C in the copper disc, 11.9 C in each of the two air gaps, 1.3 C in the insulating alumina and 22.2 C in the fin-air interface. Clearly, mechanically attached parts (with some inevitable air gaps) may cause excessive thermal drops. Welding or solder-bonding these parts is, when possible, a better solution. To reduce any air gap, thermal grease is put between any mechanical attachments. This strongly diminishes the thermal resistance of the gap and may reduce the cell temperature by some 5-10 C.
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Cells and Systems
•—ft-?) ^^H AfeOj 500 urn
Figure 12.19
Heat sink for a point focus concentration cell and schematic of its bonding structure.
We have realised that enlarging the fin area is a way of reducing the thermal resistance as much as wished, if air gaps are avoided. However, the fins cannot be made too long because then the end far from the cell, which is the source of heat, becomes inactive. As a rule of thumb, for good/the fin length must be /F = (Ktllh) , where t is the fin thickness (Sala, 1989). For instance, for an aluminium fin of t = 0.1 cm and h = 5x 10"4 W cm2 K71, the finger length should not exceed 20 cm. On the other hand, the fins cannot be too closely packed because then the viscosity would not allow the hot air to flow and remove the heat. Again as a rule of thumb, to be refined by tests or modelling, the separation between fingers should be 1.5 times the width 8 of the layer of air heated by an isolated vertical fin (Isachenko et al., 1977). The latter width is given by S=
4.23/,
[Gr(/,)Pr]"
= 1.3071
*f(cm) AT
(cm)
(12.24)
where Gr and Pr are the dimensionless Grashof and Prandtl numbers, and the second equality applies at ambient temperature. For the above case with /p = 20 cm, the separation 8 between the fins must be about 1.5 X 1.10 = 1.65 cm for a temperature difference of 40 C. Taking all this into account, the proper arrangement of the 1200 cm2 of fin surface may be achieved by putting three plates of 10 x 20 cm2 in a radial structure, or six plates of 10 x 10 cm2 in a parallel structure with separation of about 2 cm between the plates. More compact configurations are also possible and common.
570
A. Luque
The problem is more critical for linear concentrators, in spite of their lower concentration, because the fins must be more closely packed. In point-focus concentrators the cells are spaced far enough apart to leave room for the fin structure, but in linear concentrators the cells are much more closely packed and the room left for the cooling structure is smaller. Optimising the heat sink then becomes very important. In summary, cooling the cells is a technically complex problem in which a combination of electric insulation and good thermal contacting has to be achieved. But in the end, finned passive cooling can provide the heat dissipation needed by the cells, even under solar concentrations of lOOOx.
12.4 Performance and cost considerations Minimodules—arrays comprising a few solar cells mounted together with their optical elements and cooling devices—are sometimes fabricated with the purpose of achieving efficiency records at the minimodule level. We are not going to describe these here. Nor shall we present results on module efficiency, because this assumes the possibility of separating the optics, cell and heat sink from the tracking and structure. This is not possible with some of the most successful concepts today. Thus we shall focus our discussion on prototype or commercial arrays. The EUCLIDES array prototype consists of 28 receiving modules (that is, groups of 12 cells encapsulated together) in series, with a total aperture area of 42.29 m2. Figure 12.20 shows a typical I-V curve. A slope that looks like a shunt resistance is observed in the low-voltage region, although this is absent in single-module I-V curves. We attribute this to a mismatch in current from the different modules. Each module has a by-pass diode so that those of lower short-circuit current enter into reverse bias and are by-passed by the diode as the voltage decreases. This leads to a curve with steps in the low voltage region but, given the large number (28) of modules in series, these melt into a continuous slope. The efficiency of the array (Luque et ai, 1997)—defined as the luminous power on the aperture divided by the maximum DC output power—is 10.8% near noon on a typical summer day. Extrapolation to operation under a possible set2 of standard conditions—direct radiation of 800 W m"2 and cell temperature of 25 C—gives the efficiency as 14.4%. With this irradiance the prototype should be rated 4.87 kWp (efficiency at standard conditions x 0.8 kW m"2 x aperture area). 2
There is no general agreement as to standard irradiance conditions for concentrators. In the US, the standard irradiance is often taken as 850 W m"2or 1000 W m~2.
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30
-
26
<;
26 24 22 20
c £
'« 16
O
= 757 W m~2 cos a = 757 W rri* Tm = 36.0 C Tce.= 75.2 C FF = 0.9283 At 75.2 C, 696 W m , ^ p = 10.8% At 25 C, 696 W rrf 2 , lfrv = 14.4% 'bean
MMMI
14
12 10 8 6 4 2 0 0
_..i— i 20 40
1 60
i 80
I
100
1 120
1 140
U 160
1 J 180 200
Voltage (V) Figure 12.20 1-V curve of the EUCLIDES prototype measured in Madrid on 2 August 1996, at 660 minutes UTC (about one hour after solar noon).
The 3.4 kWp Midway Labs point-focus array, erected as part of the TEAM-UP project (Hickmann et al., 1996) has a DC efficiency of 14.2% under STC conditions.3 The 3.0 kWp Photovoltaics International (formerly SEA Corp.) linear-focus array, erected during the same project, has a DC efficiency of 14.7%. The power rating of these modules is determined from the AC (not the DC) output at STC, but the efficiencies given above refer to the DC output. More relevant are the operational data. The highest monthly DC efficiency achieved by the ENTECH 16.5 kW array installed in Davis, CA (PVUSA programme) is 13.5% (Jennings et al, 1996) and normal variation between winter and summer efficiency ranges from just below 13% to almost 10%. In EUCLIDES, the measured efficiency in Fig. 12.20—a typical summer result—is 10.8%. The predicted monthly efficiency in Madrid ranges from 13.4% in December to 10.1% in July. The most efficient concentrator (excluding minimodules) so far built is the AMONIX array. This is a commercial prototype, based on highly efficient back PC cells, Fresnel lenses and secondaries and operating at high concentration (260x). To our knowledge, three arrays rated 19 kW and one rated 38 kW have been produced. The reported higher efficiency (at uncertain test conditions) is over 18% (Garboushian et al., 1996). However, based on the published output power, the input irradiance and the reported aperture area (155 m ) the operating (not nominal) AC efficiency we calculate is -13.5%, varying little from winter to summer. This is confirmed by the 3
STC (standard temperature and conditions) for unconcentrated terrestrial radiation are planc-of-array global irradiance 1000 Wm"2, cell temperature 25 C, and an air mass 1.5 solar spectral distribution.
572
A. Luque
\3.1% efficiency under PTC conditions4(Lepley et al., 1997). PTC efficiencies are lower because of the higher cell temperature, and closer to real operating conditions than STC. Taking into account that DC-AC conversion produces a loss of, say 5%, we can assume a DC operating efficiency of over 14%, which is a remarkable result. Let us now talk about costs. This is not an easy topic because the costs of commercial products only exist when the commercial products exist, and even then the manufacturer hides his costs in a legitimate attempt to obtain the highest benefit. Thus only theoretical costs obtained from more or less pertinent exercises are available. Table 12.7 shows the cost calculation for the EUCLIDES demonstration project in Tenerife. The cost of the TOLEDO plant is based on actual suppliers' invoices, but the internal costs of the main contractor are excluded in both cases. Table 12.7 Comparative costs of a flat module plant and a concentrating plant based on the present EUCLIDES technology Cost in US$
TOLEDO lMWp flat module
$/wp
EUCLIDES 480 kWp $/Wp $/m2
Modules Mirrors Heat sink Module mounting
5.40 0.00 0.00 0.42
0.46 0.42 0.61 0.11
53 48 70 13
Installed module
5.82
1.60
185
Site preparation Structure, mounting and transportation.
0.22 0.44
0.21 1.59
24 183
Structure civil works and transportation
0.66
1.80
208
Wiring and DC distribution Inverter, transformer etc. Power conditioning
0.44 0.42 0.86
0.06 0.42 0.48
7 48 55
TOTAL
7.34
3.88
447
The EUCLIDES calculations assume a market of 10 MWp/y. When the Toledo plant was erected, the flat module market was about 60 MWp/y. 4
PTC conditions are plane-of-array global irradiancelOOO W m"a, ambient temperature 20 C, and 1 m s" wind speed.
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It can be appreciated that the modules are by far the most important part of the plant cost in the case of flat modules. In concentration, the cost of the modules is a smaller part of the whole system costs. Even if the modules, the optics and the heat sink are summed, the flat module is still much more expensive. Although the structure cost is higher for the concentrator, the balance is substantially positive for the concentrator case. This is the main motivation for using concentration. The reduction in cell area must produce a cost reduction that is greater than the cost increase due to the optics, cooling and tracking structure, which are more complex than the static structures normally used for non-concentrating modules. Most concentrators installed so far have either reached this point or promise to reach it in the future once a certain level of production is reached. It must be stressed that the costs of concentrator plants are given per m and also per Wp. For the latter there is not yet general consensus on the rating (or standard) conditions. For flat modules, the normally agreed STC conditions have been used; these are 1000 W nf2 and 25 C . For concentration we have used 800 W m"2 and 25 C cell temperature. This choice reduces the rated power attributed to the concentrator, but it is fair to the user because he will obtain roughly the same annual energy from each kWp he buys, whether the system is flat-plate or concentrating. However, it has to be stressed that this fairness of the reduced rating irradiance is specific to the EUCLIDES in its present state of development and is not a general feature for all the concentrators. For some it might be higher and for some lower. It is mainly determined by the higher cell temperature in operation. Expected improvements in heat sinking would increase the fair rating irradiance. The average costs of the concentrator modules under development in the USA have also been analysed, giving a cost of $282, $187 and $148 per m2 for 1, 10 and 100 MWp of annual production respectively (Chamberlin 1988). The 10 MWp figure is very close to that found for the EUCLIDES system ($185/m2). Throughout this paper we have analysed several levels of concentration. In Table 12.8 we show concentrator cell manufacturing costs for several technologies. We should warn that these costs are little more than a guess based on previous work (Boes and Luque, 1993, Fraas et al., 1993, Luque et al., 1995). At the top of the table we have put our estimate of the annual cell production which we think necessary for these costs to be achieved. This implies a volume of PV market that has to be reached and below which the cell costs given in the Table are not possible. These markets range between about 15 and 130 MWP per year. In general the cost of the concentrator cells is rather small and the cost of the system is determined by the efficiency, which is itself influenced by the thermal behaviour. Usually the higher the concentration, the more expensive the tracking
574
A. Luque
structure, owing to the higher manufacturing and aiming accuracy needed, but this is only a trend. The exception is in the case of the III-V tandem cells, whose cost contribution is high. In this case we have to rely entirely on the potential of future higher efficiency to reduce the system overall costs. In summary, we think that it is not possible to decide a priori today the level of concentration that will lead to the greatest cost reductions. This depends strongly on many things, including the system design and the industrialisation strategy. Table 12.8 Cell contribution to the concentration module costs and the market required to reach these costs Cell technology Concentration Cell production (m2/y) Wafer cost (ECU/m2)c Processing cost (ECU/m2) Wafer & process (ECU/m2) Wafer utilisation (%) Fabrication yield (%) Cell cost (ECU/m2) Cell efficiency (%) Module efficiency (%) Cell contribution to cost (ECU/m2) Market required (MWp/y)
Si LGBC
Si 2 masks0
Si 5 masks*
III-V tandem
30 3000 200. 200 400 70 85 672 18 16 22.4 14.4
100 3000 400 400 800 70 85 1344 21 18.5 13.4 55.5
250 400 800 1200 2000 70 70 4081 24 21 16.3 21
1000 400 30000 30000 60000 70 70 122448 35 32 122 128
"As in the cell developed in the IES (Terron et al., 1992) and described in Section 12.2.2; *As in the PC cell of Sinton et al. (1985), described in Section 12.2.2, or the PERL cell of Zhao et al. (1994), described in Chapter 4; r l ECU = 0.96 US$.
12.5 Conclusion: under what circumstances is concentration worthwhile? Tracking concentrators like those described in this chapter collect only direct light. Concentrators collecting diffuse light also exist, but they are limited to low values of concentration (Luque, 1981 and 1987), in the range of 8x if they use bifacial cells. None of these tracking concentrators has so far been commercially developed. Because of this it is often said that concentrators are only worth it for sunny locations having a high content of direct sunlight.
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575
barta(Tenerite) - R :
— •'• i
Albuquerque Denver -^
j
'
I
!
t
I
1
1
!
Austin -
1
1
1
'
i
1
1
I
1 1
Rome Pittsburgh -
1
1
|
-1 n
Stuttgart 0
1 500
i
1 1
I
1
'
|
1
NiceMiami -
i
'
Madrid -
1
L
1 1000
1 1500
•
Globa , latitudij -tilted Direct 2-axist acking
2000
2500
3000
3500
Annual irradiation (kWh/m2)
Figure 12.21 Global irradiation on a latitude-tilted plane and direct on a normal plane (Boes and Luque, 1993; Luqueera/., 1997).
Figure 12.21 shows the solar irradiation on a latitude-tilted plane and on a tracking normal plane in several locations. It can be seen that direct irradiation and global irradiation are strongly correlated. In other words, there are locations favoured for the use of the solar energy in general, and others that are less favoured. An interesting inference from this Figure is that, in most favourable locations, the direct radiation in a normal plane is higher than the global radiation on a latitude-tilted plane. In other words, the loss of diffuse radiation is more than balanced by the tracking. However, there are locations such as Miami (characteristic of the humid east of continents) where global irradiation exceeds the direct normal irradiation, while in other parts, such as Albuquerque (and in general the arid west of continents) where the direct normal exceeds the global. Increasing altitude strongly favours this behaviour. Thus we conclude that the best economic choice for the use of concentrators—as for the use of solar energy in general, but more so for concentration—are the higher and most insolated areas of the world. The EUCLIDES concentrator uses one-axis tracking and the direct radiation it collects is reduced by the oblique incidence of the sunlight. In Izafia (Tenerife), the irradiation on a perfectly aimed plane, in a two-axis tracking configuration—an annualised average of 2954 kWh m~2 per year—is reduced by 16% to 2483 kWh m~ on a horizontal N-S oriented one-axis tracking plane. In Madrid, the 1826 kWh m~ irradiation achieved by two-axis tracking is reduced by 12% to 1614 kWh m~ for one-axis tracking. The corresponding values for the global irradiance on a latitude-
576
A. Luque
tilted plane are 2657 kWh m"2 and 1782 kWh m~2 for Izana and Madrid respectively. We see that the one axis tracking configuration cannot fully recover, by tracking, the loss of diffuse energy (Bourgess, 1992; Lorenzo et al. 1995; Luque et al., 1997). The use of a tracking structure with flat modules, able to collect the global radiation on a normal plane (not shown in Fig. 12.21), results in an energy collection of about 15-30% more than if we consider the direct radiation only. We believe that in many cases this is beneficial. For example in the TOLEDO 100 kWp flat-panel oneaxis-tracking installation, the extra energy recovered is 17%, this being cost-effective as long as the flat-panel system costs more than $4/Wp as is the case today, in general and more specifically in the case of Toledo, where the cost for the stationary part is $7.34/Wp, as shown in Table 12.7. Table 12.9 Predicted costs for the EUCLIDES concentrator for a manufacturing volume of 10 MWp/y Costs in US $ Cost per kWp Yearly payment (5.6%) KWh/kWp in Madrid (per year) $/kWh in Madrid KWh/kWp in Izana (per year) $/kWh in Izana
Flat module 7340 411 1247 0.330 1860 0.221
EUCLIDES (future) 3880 217 1222 0.178 1803 0.121
See Luque et al. (1995) for the method of calculation.
Table 12.9 shows the cost of electricity based on the cost of the EUCLIDES as compared with a flat-module PV array (Luque et al., 1997). It can be seen that attractive prices ($0.12/kWh) might be achievable in the short term for areas of high insolation. These prices are competitive with the costs of generation of electricity in many locations. They are not yet competitive with the costs of modern and welldeveloped grids, but they are coming close. If a market for concentrator systems starts to develop, the normal manufacturing learning curve will induce price reductions, so increasing the market. Thus this technology may become a real contender in energy production, competing for the most expensive part of the electric market in regions specially favoured by the climate. Other studies, predicting similar costs, have been performed by Whisnant et al. (1994) for concentrations of 500x and high-efficiency Si and GaAs cells. They found little difference among the several cell options, including the best tandem cells. Other experts (Boes and Luque, 1993) consider that, with higher concentration and tandem
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cell efficiencies, the costs in Table 12.9 may be halved. If this occurs, concentration technology may become a serious candidate for mass production of electricity. Penetration of PV up to 15% of the total generation of a conventional grid seems to be acceptable from the point of view of grid management (Kelly and Weinberg, 1993) and this represents a huge market, about two orders of magnitude more the present global PV market (about 200MW p /y). However, concentrators have so far experienced only a very modest commercialisation. Beyond a few demonstrations in the early eighties in the USA and in Saudi Arabia (using US technology), followed today by some few very small demonstrations, and the present demonstration in Tenerife, no real commercialisation has occurred. There are several reasons for this. On one hand, except for few demonstrations mainly intended to stimulate the flat module industry, the current market for photovoltaics is limited to small generators in scattered applications where the electricity is needed at almost any cost (professional or rural Third World applications). A different market—building-integrated PV—is linked to ideological considerations in which cost and even performance mean less. Architecturally aesthetic integration is much more important. But even in the pure economic contest, the flat module option has only to compete with the price of the energy at the distribution end, which is two or three times greater than its price at the generation end. However, generators based on tracking concentrators are, and probably will be, bigger and not well suited for many of the small, scattered applications of today, nor will they be easily integrated into buildings with the same elegance as special flat modules. They must compete in the cost arena at the generation end, where costs are lower, although—taking into account the reduction of the cell cost by the concentration factor and the increase in efficiency consequent on the better cell performance—we think that their capability for costs reduction is larger. Besides this difficulty from the demand side, there is one from the supply side: the lack of concentrator cells. Concentrator cells may be mature at the laboratory level, but due to the lack of market, they are not at the industrial level. Therefore they are seldom available, and if they are, it is at a very high price that destroys most of the advantage implied in the reduction of cell area. In Table 12.8, we have indicated the size of the markets—ranging from 15 to 130 MWp per year—necessary to make the industrialisation successful. An alternative option is to use a line of fabrication of flat-module cells—or of another well established industrial product—to manufacture a concentrator cell that is only a modification of the main product. With the screen-printing technology
578
A. Luque
normally used, this is restricted to a concentration of about 10 Suns. With LGBC technology, 30 Suns or more can be reached. Probably this is the way to start. It is the way BP Solarex in Madrid has chosen for the EUCLIDES in cooperation with us. Another option is our cooperative project of industrialisation of lOOx cells with the company ASE, exploring the possibility of using their space cell manufacturing facility in Heilbronn, Germany for the fabrication of concentrator cells. A third option is our attempt to use the techniques of LED assembly at TEMIC (Heilbronn), and with ENE (Brussels, Belgium) as cell manufacturer—again in a cooperative project— for the development of a lOOOx GaAs concentrator cells that might accommodate tandem cells thereafter. Other R&D institutions are involved with us in this effort (ITER, Tenerife; ZSW, Stuttgart; Ioffe Institute, St. Petersburg; Protechn, St. Petersburg; University of Reading, UK; UAM, Marseilles; IKZ, Berlin; FhG-ISE, Freiburg; etc.). Finally it has to be understood that no real marketing effort has so far been undertaken for concentrators. The companies promoting this technology have been too close to the development side and have not had the skills (or the money) for marketing initiatives. There is certainly a niche for a cheap concentration product, probably of higher size than for flat modules, but different, and this niche remains virgin. This situation might be drastically changed by the involvement of an oil giant such British Petroleum (through BP Solarex) in the concentration field. If we compare PV concentration with the solar thermal option—excluding the parabolic disc technology—what we can say is that we do not see why the concentrating photovoltaic option cannot be of the same or lower price. Efficiencies are not so different and operation is simpler. Also the modularity is much smaller so that marketing should be much easier. This important advantage in modularity comes from the fact that efficient solar thermal converters (the thermal plant itself) must be rather big, in the range of 30-100 MWy,, as compared to less than 0.05 MWP for concentration photovoltaic generators. On the other hand, parabolic dish technology with a built-in Stirling engine has achieved solar-to-electric conversion efficiencies in excess of 40%. This constitutes a very good contender for PV, that can aim at the same specific markets, and whose development is limited by the scarce attention devoted to its development and perhaps by the engine cost and its difficult and expensive maintenance. Finally, if we compare PV concentration with the wind option, the conclusion must be that there is room for both. Wind energy is to be exploited where the energy density is high—winds in the range of 6-7 m s_1—but the wind potential is about four orders of magnitude below the solar potential (Johansson et al, 1993). The Sun will still have a lot of room for growth when the potential of wind is fully exploited.
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References Alarcon J., Bassy A., Blazquez L., Luque A., Sala G. and Lorenzo E. (1982), 'Central fotovoltaica flotante', Mundo Electronico 117, 95-99. Araujo G. L. and Sanchez E. (1982), 'Analytical expressions for the determination of the maximum power point and the fill factor of a solar cell', Solar Cells 5, 377386. Araujo G. L. and Ruiz J. M. (1989), 'Variable injection analysis of solar cells', Ch. 2 in Luque A., ed., Solar Cells and Optics for Photovoltaic Concentration, Adam Hilger, Bristol. Bird R. D., Stewart W. E. and Lightfoot E. N. (1982), Fenomenos de transports Reverte, Barcelona. Blakers A. W., Wang A., Milne A. M., Zhao J. and Green M. A. (1989), '22.8% efficient silicon solar cell', Appl. Phys. Lett. 55, 1363-1365. Boes E. C. and Luque A. (1993), 'Photovoltaic concentrator technology', Ch.8 in Johansson, T. B., Kelly H., Reddy A. K. N., Williams R. H. and Burnham L. eds., Renewable Energy: Sources for Fuels and Electricity, Island Press, Washington D.C. Bourgess E. (1992), Climatic Data for Europe, Kluwer Academic Publishers, Dordrecht. Burgess E. L. and Pritchard D. A. (1978), 'Performance of a one kilowatt concentrator photovoltaic array utilizing active cooling', Conf. Record 13th. IEEE Photovoltaic Specialists Conf, Washington D.C, IEEE Press, Piscataway, 1121-1124. Chamberlin J. (1988), 'The cost of photovoltaic concentrator modules', Conf. Record 20th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 1353-1356. Cuevas A. and Balbuena M. A (1988). 'Thick emitter silicon cells', Conf. Record 20th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 429^134. Cuevas A., Sinton R. A., Midkiff N. E. and Swanson R. M. (1989), 'Point-junction concentrator cells with a front metal grid', Proc. 9th. European Photovoltaic Solar Energy Conf, Freiburg, Kluwer Academic Publishers, Dordrecht, 761-764. Fraas L. M., Avery J. E, Martin J, Sundaram V. S., Girard G., Dinh V. T., Davenport T. M., Yerkes J. W., and O'Neill M. J. (1990), 'Over 35 percent efficient GaAs/GaSb tandem solar cells', IEEE Trans. Electron Devices ED-37,443-^149.
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Fraas L. M., Sundaram V., Gruenbaum P., Kuryla M., Pietila D. and Thompson A. (1993), 'Tandem gallium concentrator solar cells: 1992 review', Proc. 11th. European Photovoltaic Solar Energy Conf., Montreux, Harwood Academic Publishers, Chur, 135-141. Friedman D. J., Kurtz S. R., Bertness K. A., Kilber A. E., Kramer C , Olson J. M., King D. L., Hansen B. R. and Snyder J. K. (1995), Progr. Photovoltaic Res. Appl. 3, 47-50. Garboushian V., Roubideaux D. and Yoon S. (1996), 'An evaluation of integrated high-concentration photovoltaics for large-scale grid connected applications', Conf. Record 25th. IEEE Photovoltaic Specialists Conf., Washington D.C., IEEE Press, Piscataway, 1373-1376. Green M. A., Blackers A. W., Wenham S. R., Narayanan S., Wilson M. R., Taouk M. and Spitzalak T. (1985), 'Improvements in silicon solar cell efficiency', Conf. Record 18th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 39^42. Green M. A., Emery K., Biicher K. and King D. L. (1995). 'Solar cell efficiency tables', Prog, in Photovoltaics 3, 229-233. Green M. A., Emery K., Biicher K., King D. L. and Igari S. (1997), 'Solar cell efficiency tables', Prog, in Photovoltaics 5, 51-54. Hickmann T., Eckert P. and Lepley T. (1996), 'A competition of tracking photovoltaic systems in a southwestern electric utility transmission and distribution application', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 1381-1385. Isachenko V. P., Osipova V. A. and Sukomel A. S. (1977), Heat Transfer, Mir, Moscow. Jennings G., Farmer B., Townsend T., Hutchinson P., Reyes T., Whitaker C , Gough J., Shipman D., Stolle W., Wenger H. and Hoff T. (1996), 'PVUSA—the first decade of experience', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D.C., IEEE Press, Piscataway, 1513-1516. Johansson T. B., Kelly H., Reddy A. K. N. and Williams R. H. (1993), 'Renewable fuels and electricity for a growing world economy', Ch. 1 in Johansson T. B., Kelly H., Reddy A. K. N., Williams R. H. and Burnham L., eds., Renewable Energy: Sources for Fuels and Electricity, Island Press, Washington D.C. Kane D. E. and Swanson R. M. (1989), 'Electron-hole collisions in concentrator solar cells', Conf. Record 20th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 512-517.
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Kelly H. and Weinberg C. J. (1993). 'Utility strategies for using renewables', Ch. 23 in Johansson T. B., Kelly H., Reddy A. K. N., Williams R. H. and Burnham L., eds., Renewable Energy: Sources for Fuels and Electricity, Island Press, Washington D.C. Lammert M. D. and Schwartz R. J. (1977), 'The interdigitated back contact solar cells: a silicon solar cell for use in concentrated sunlight', IEEE Trans. Electron Devices ED-24, 337-342. Lepley T., Hammond B. and Harris A. (1997), 'Evaluation of tracking flat plate and concentrator PV systems', Conf. Record 26th. IEEE Photovoltaic Specialists Conf., Anaheim, IEEE Press, Piscataway, 1257-1260. Lorenzo E., Maquedano C. and Valera P. (1995), 'Operational results of the 100 kWp tracking PV plant at TOLEDO-PV project', Proc. 13th. European Photovoltaic Solar Energy Conf., Nice, H. S. Stephens & Associates, Bedford, 2433-2436. Luque A. (1980) 'Quasi-optimum pseudo-lambertian reflecting concentrator: an analysis', Appl. Optics 19, 2398-2402. Luque A. (1981) 'Theoretical bases of photovoltaic concentrators for extended light sources', Solar Cells 3, 355-368. Luque A. and Eguren J. (1982), 'High injection phenomena in p+-i-n+ silicon solar cells', Solid State Electronics 25, 797-809. Luque A. (1987), 'Bifacial cells', Ch. 7 in Kattak C. and Ravi V., eds., Photovoltaic Silicon Processing, Vol. II, North Holland, Amsterdam. Luque A. (1988), 'Analysis of a high efficiency back point contact solar cell', Solid State Electronics 31, 65-79. Luque A. (1989, ed.), Solar Cells and Optics for Photovoltaic Concentration, Adam Hilger, Bristol. Luque A., Sala G., Araujo G. L. and Bruton T. (1995), 'Cost reducing potential of photovoltaic concentration', Int. J. Solar Energy 16, 179-198. Luque A., Sala G., Arboiro J. C , Bruton T., Cunningham D. and Mason N. (1997), 'Some results of the EUCLIDES photovoltaic concentrator prototype', Prog, in Photovoltaics 5, 195-212. Maroto J. C , Marti A., Algora C. and Araujo G. L. (1995), '1300 Suns GaAs concentrator solar cell with efficiency over 23%', Proc. 13th. European Photovoltaic Solar Energy Conf, Nice, H. S. Stephens & Associates, Bedford, 343-348. Mifiano J. C. and Gonzalez J. C. (1992), 'New method of designing of nonimaging concentrators', Appl. Optics 31, 3051-3060. Mifiano J. C , Luque A. and Tobias I. (1992), 'Light-confining cavities for photovoltaic applications based on the angular-spatial limitation of the escaping beam', Appl. Optics 31, 3114-3122.
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Minano J. C. and Luque A. (1994) 'Light confining cavity with angular-spatial limitation of the escaping beam', US Patent No. 5,291,331 (1 March 1994). Minano J. C , Gonzalez J. C. and Benftez P. (1995), 'RXI: a high gain, compact, non imaging concentrator', Appl. Optics 34, 7850-7856. Ning X., Winston R. and O'Gallagher J. (1987), 'Dielectric totally internally reflecting concentrators', Appl. Optics 26, 300-305. O'Neill M. J. (1987), 'Photovoltaic cell cover for use with a primary optical concentrator in a solar energy collector', US Patent No. 4,711,972, 8 Dec 1987. O'Neill M., McDanal A., Walters R. and Perry J. (1991), 'Recent development in linear Fresnel lens concentrator technology, including the 300 kW 3M/Austin System and the 20 kW PVUSA system and the concentrator initiative', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf., Las Vegas, IEEE Press, Piscataway, 523-528. Photovoltaic Insider's Report (1997), 'Leading edge: BP entering concentrator PV market with 480 kWp system in Tenerife', Vol. 16 (January 1997), pp. 1 and 3. Sala G., Araujo G. L., Luque A., Ruiz J. M., Coello A., Lorenzo E., Chenlo F., Sanz J. and Alonso A. (1979), 'The Ramon Areces concentration photovoltaic array', Sun Vol II: Proc. ISES International Solar Energy Society Silver Jubilee Congress, Pergamon Press, New York, pp. 1737-1741. Sala G. (1989), 'Cooling of solar cells', Ch. 8 in Luque A., ed., Solar Cells and Optics in Photovoltaic Concentration, Adam Hilger, Bristol. Sala G., Arboiro J. C , Luque A., Zamorano J. C , Minano J. C. and Dramsch C. (1996), 'The EUCLIDES prototype: an efficient parabolic trough for PV concentration', Conf. Record 25th. IEEE Photovoltaic Specialists Conf, Washington D. C , IEEE Press, Piscataway, 1207-1210. Salim A. and Eugenio N. (1990), 'A comprehensive report on the performance of the longest operating 350 kW concentrator photovoltaic power system', Solar Cells 29, 1-24. Sinton R. A., Kwark Y., Greuenbaum P. and Swanson R. M. (1985), 'Silicon point contact concentrator solar cells', Conf. Record 18th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 61-65. Shockley W. (1949), 'Theory of p-n junctions', Bell Sys. Tech. J. 28,435^189. Takamoto T., Ikeda E., Agui T., Kurita H., Tanabe T., Takana S., Matshubara Y., Mine Y., Takagishi S. and Yamaguchi M. (1997), 'InGaP/GaAs and InGaAs mechanically stacked triple-junction solar cells', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway, 1031-1034.
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Terron M. J., Davies P. A., Olivan J., Alonso J. and Luque A. (1992), 'Deep emitter silicon solar cells for concentrated sunlight and operation with light confining cavities', Proc. 11th. European Photovoltaic Solar Energy Conf., Montreux, Harwood Academic Publishers, Chur, 233-236. Terron M. J. and Luque A. (1994), 'Reduction of the apparent shunt resistance effect in silicon concentration solar cells', Prog, in Photovoltaics 2, 187-203. Terron M. J. (1997), Desarrollo de celulas solares defdcil industrializacion para su uso en concentracion, Tesis Doctoral, Universidad Politecnica de Madrid. Tobias I. (1992), Conversores fotovoltaicos basados en cavidades confinadoras de luz, Tesis Doctoral, Universidad Politecnica de Madrid. Verlinden P., van der Vielle F., Stehelin G. and David J. P. (1985), 'Optimized IBC solar cell for high concentration of sunlight', Conf. Record 18th. IEEE Photovoltaic Specialists Conf., Las Vegas, IEEE Press, Piscataway, 55-58. Vernon S. M., Tobin S. P., Haven V. E., Geoffroy L. M. and Sanfacon M. M. (1991), Conf. Record 22nd. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 353-357. Wanlass M. W., Couts T. J., Ward J. S., Emery K. A., Gessert T. A. and Osterwald C. R. (1991), 'Advanced high-efficiency concentrator tandem solar cells', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway, 38-45. Welford E. T. and Winston R. (1978), The Optics of Non-Imaging Concentrators, Academic Press, New York. Winston R. and Welford E. T. (1979a), 'Geometrical vector flux and some new nonimaging concentrators', J. Opt. Soc. Am. 69, 532-536. Winston R. and Welford E. T. (1979b), 'Ideal flux concentrators as shapes that do not disturb the geometrical vector flux field: a new derivation of the compound parabolic concentrator', J. Opt. Soc. Am. 69, 536-539. Whisnant R. A., Hutchby J. A., Timmons M. J., Venkatasubramanian R. and Hills J. S. (1994), 'Silicon and GaAs/Ge concentrator power plants: a comparison of cost of energy produced', Proc. 1st. World Conf. Photovoltaic Solar Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1103-1106. Zhao J., Wang A. and Green M. (1990), '24% efficient PERL structure silicon solar cells', Conf. Record 21st. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 333-335. Zhao J., Wang A., Altermatt P. P., Wenham S. R. and Green M. A. (1994), '24% efficient silicon solar cells', Proc. 1st. World Conf. Photovoltaic Solar Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1477-1480.
CHAPTER 13
CELLS AND SYSTEMS FOR SPACE APPLICATIONS CHRISTOPHER M. HARDINGHAM Marconi Applied Technologies, Chelmsford, Essex, UK [email protected]
Following the light of the Sun, we left the Old World. Inscription on Columbus's caravels, c. 1506.
In this chapter, we shall consider the use of photovoltaics in space. After defining the various types of spacecraft, the unique attributes of the space environment are reviewed. The past, present, and trends for future use of photovoltaics in space are discussed. The emphasis then switches to the elements of a space power system and the technology of space solar cells. Finally, possible novel systems are discussed, and suggestions made for potential future directions for photovoltaics in space.
13.1 Space systems Space systems can be divided into two major categories: 'satellites' and other spacecraft. Satellites—or more strictly Earth Orbiting Satellites—are spacecraft that are locked into a permanent orbit around the Earth and in general receive a predictable and nearly constant insolation. Other spacecraft include deep-space probes that travel beyond the planets and far away from the Sun (for example the Giotto probe shown in Fig 13.1), and interplanetary spacecraft that have escaped the Earth's gravitational field and moved towards other planets or moons (perhaps becoming a satellite of their target body). These receive predictable but significantly varying insolation as they move towards or away from the Sun en route to their targets (for instance, the mean solar intensity arriving at Mars is only 43% of that arriving at the Earth).
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Figure 13.1 The Giotto space probe, which intercepted Halley' s comet in 1986 and the Grigg-Skjellerap comet in 1990. Giotto was powered by 5000 silicon solar cells, producing 200 W during the first comet fly-by. © MMS, by permission.
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13.1.1 Sources of electrical power for space systems At the present time, the technology exists to give spacecraft designers three practical choices for spacecraft power systems: primary batteries, small nuclear generators and photovoltaic solar arrays. Primary batteries suffer from very high mass and low life capabilities. They are an option for short-lived near space probes, but are not practical for high power, even moderate duty, applications. For example, to power a 5 kW TV broadcast communications satellite for its 10 year life time, over 15,000 tonnes of domestic alkaline batteries would be required! The second choice, nuclear power, is potentially environmentally hazardous at launch and re-entry, and is avoided for Earth orbiting applications. Nuclear generators have been used in the form of Radio-Isotope Thermoelectric Generators (RTGs). Thermoelectric generators using vacuum tube-based converters have been developed for some space applications. Typical applications of RTGs have been, and seem likely to remain, long-duration mission deep-space probes (e.g. the 5 year mission of Voyager), where the use of sunlight is not feasible. Compared with primary batteries, the power and lifetime energy generation per unit mass of a photovoltaic array are excellent. Compared with nuclear power sources PV arrays are cheap, scalable to (almost) any size, and made from relatively benign materials. Thus photovoltaic solar arrays have been the power source of choice for the vast majority of Earth-orbiting satellites. Since such satellites greatly outnumber all other classes of spacecraft, this technology has dominated the space power industry. Table 13.1
Applicability of power generation systems for different spacecraft
System
Earth-orbiting satellites
Interplanetary probes
Deep space probes
Primary batteries
Limited
Very limited
No
Radio-isotope Thermal Generators (RTGs)
Not acceptable (environmental / safety hazards)
Yes, but mass a disadvantage
Mandatory
Photovoltaic solar arrays
Preferred
Usual choice
No
Solar dynamics
For high powers (e.g. No future space stations >100kW)
No
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A fourth alternative has been proposed, and significant development was carried out on it during the 1980s, primarily aimed at large power requirements such as the International Space Station. These were the 50-100 kW systems, proposed for Space Station Freedom that would have used large concentrating reflectors and boilers to drive high-efficiency Stirling engines (Brandhorst, 1986). As yet, however, no solar dynamic missions have been flown with these systems. Furthermore, the need for accurate Sun pointing of concentrating reflectors and the reliance on moving parts and fluids in space raise significant doubts about the viability of such systems in the near term. Table 13.1 compares the applicability of these four power generation systems to different spacecraft.
13.2 The space environment There are various issues that are unique to the space environment, which the designer of PV systems for space use must bear in mind. These are reviewed in this section.
13.2.1 A vacuum—but not empty The space environment in which satellites fly is not a perfect vacuum. It typically includes atomic oxygen, micrometeoroids, and high-energy neutrons and charged particles—protons, electrons and alpha particles. High-energy protons and electrons, trapped in the Earth's magnetosphere, can have a significant impact on photovoltaic systems on Earth-orbiting satellites. This occurs through 'atomic displacement', wherein the high energy particles dislodge atoms from their positions in the regular crystal lattice of the solar cell, and thus damage the cell. The extent to which the cell resists such damage (or in some cases, self-anneals by auto-repairing the damage), is termed its radiation hardness. At low-Earth orbits (200-1000 km), trapped protons dominate, their concentration rising to a peak at about 5,000-10,000 km in the so-called van Allen belts. The highest concentration of high-energy protons is nearer the Earth than that of lower energy protons, which extend to nearly the geostationary orbit height of 36,000 km, so the distribution becomes softer at higher orbits. Satellites in 'intermediate orbits' (3,000-10,000 km) therefore experience a very high radiation dose, which would normally be prohibitive for PV. Indeed the first satellite launched by the USA, Explorer 1, had an objective of measuring the intensity of charged particle radiation. Since it was—unwittingly—launched into the van Allen
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belts, the measured dose was 104 times higher than had been predicted by the extrapolation of data obtained using high-altitude balloons (as reported by Loferski, 1993). This caused some concern, since the predicted life of solar cells in space fell from 10,000 years to a few years or less in consequence. Interest in these orbits for military satellites is the main reason for research into radiation-resistant InP solar cells. Trapped electrons, with energies of a few hundred keV, extend out to around 60,000-80,000 km (i.e. to the extent of the magnetosphere). They are intense in two regions: 'inner zone' electrons lie between 1.2-2.8 Earth radii (peaking around 1.4), and the 'outer zone' electrons lie over the range 3-10 Earth radii (peaking around 4-5). The flux in both zones is around 107 electrons cm""2 s"', with particle energies around or above 250 keV. At orbital heights of 5 Earth radii or more, solar flare protons can play a significant role. Solar flares emanate from large sunspots and blast huge fluxes of particles and radiation into space (producing magnetic storms on Earth). The flux of high-energy protons is rapidly attenuated in the Earth's magnetosphere, and hence is only significant for satellites at high altitudes. Solar flare proton fluxes are difficult to predict, because of the random nature of sunspots. However, sunspot activity has a definite periodicity of about 11 years with a peak:trough ratio of about 20:1, which may be used to predict cumulative doses over a satellite life. Also, it will be readily apparent that the inclination of the orbit can have a significant effect on the solar-flare proton flux. A solar cell can be protected from most of these particle fluxes by glueing a sheet of glass to the front of the cell. The thickness of these 'coverglasses' ranges from 50 /im (or even none, for certain short-lived satellites) to over 1 mm for satellites in particularly harsh orbits. The types of glass used are specially expansion-matched to either Si or GaAs, and are normally doped with cerium to both minimise transmission of hard UV light (which can damage and discolour the adhesive as well as the cells themselves) and prevent the precipitation of opaque 'colour centres' within the glass. However, coverglasses are only partially effective as protection against high-energy protons, and they are fairly ineffective against high-energy electrons. At altitudes from 200-650 km, atomic oxygen (ATOX) is the major constituent of the (highly attenuated) atmosphere (Flood and Rauschenbach, 1988), with 109 atoms cm"3 at shuttle orbital heights of 250 km, and 107 atoms cm"3 at the (proposed) Space Station Freedom orbit of 500 km. ATOX is very reactive, and great care is required to avoid deleterious effects on PV arrays, for instance by encapsulating every interconnect between solar cells, if they have exposed silver (since silver is readily oxidised). Another hazard for PV arrays in space is that plasmas with a potential of a few hundred volts can become established around a satellite, particularly those in low-Earth orbits, and thus interfere with satellite reception and transmission of electromagnetic signals. The
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surfaces of solar arrays are prone to charging by surface photoelectric effects, and this can also cause damaging discharges. In low-Earth orbits, in particular, there is an increasing amount of man-made space debris, as well as extra-terrestrial micrometeorites. This can impact a satellite or its solar arrays at high velocity, and cause significant damage to the photovoltaics and other satellite systems: see, for instance, Drolshagen (1994) on the impact of meteoroid and debris on Eureca (the EUropean Retrievable Carrier) spacecraft. Some experts believe that the amount of debris is rising sufficiently fast that there is a real possibility of collisions producing more debris, building up in a cascade, until particular orbital planes are swamped with debris. Predictions are that this could happen between 2020 and 2040.
13.2.2 Other factors unique to the space environment The temperature of any complete system in space is controlled entirely through radiation, since there is no medium for convection or conduction processes. In general, this is also true of photovoltaic arrays, since there is usually little conductive coupling between arrays and spacecraft bodies. Since all space photovoltaic systems are more efficient at low temperatures, it is important to maximise radiation away from the array, ideally with high emissivity surfaces, pointing to deep space, and to minimise absorption of unwanted energy, ideally with 'tuned' cover-glass surfaces that reject useless infra-red and ultraviolet radiation. Apart from those in the very low orbits (generally less than around 400 km) which can be reached by the Space Shuttle, satellites, once launched, are not accessible for servicing, repair, or retrieval. Notable exceptions are the Long Duration Exposure Facility and Eureca, both of which were designed to be launched and later retrieved, and the Hubble Space Telescope, which was designed to be serviced in space. Indeed, Hubble's original PV array was replaced by a further crystalline Si array in 1993. In general, however, satellite designers—including solar array designers—should assume that there is no possibility of in-flight access. Partly because of this, solar array designs must have a very high reliability factor: 'single point failures', which could jeopardise the mission, are minimised or eliminated wherever possible. Where this is not possible—for example, in deployment mechanisms—a great deal of attention is paid to qualifying components, materials and processes, to minimise the risks. Depending on the application, satellites may be required to survive in a hostile environment. In particular, the solar arrays (as well as the internal electronics) for
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military satellites may be designed to withstand the high levels of high-energy particles anticipated after a nuclear detonation. Like solar panels sited on Earth, most panels in space go into periodic eclipse, or night-time. Many satellites rotate, resulting in additional shadowing of the panels, and protrusions from the satellite (such as antennae and stability booms) can also shadow parts of panels. Space solar cells must be designed to survive such shadowing, or partial shadowing, without damage. Once in orbit, a satellite is subject to very low mechanical stress (apart from stress caused by temperature changes). However, in order to reach orbit, the satellite must survive very high levels of mechanical stress. These stresses take the form of random vibrations at a very high energy and, since satellites are contained within a hollow faring of the launch vehicle, a high level of acoustic vibration. Because a solar array is an 'external appendage', and is often designed to be deployed, it can be subject to higher levels of mechanical stress at particular resonant frequencies. Since there is more power in lower frequency vibrations, arrays and their mountings and fixings (often incorporating a SADM—a swivelling Solar Array Drive Mechanism) are usually designed to avoid resonances at very low frequencies.
13.2.3 Irradiation levels and the solar spectrum The intensity of solar radiation on a solar array decreases with the square of the distance from the Sun. Unlike terrestrial solar irradiation, the spectrum of which varies with season, latitude and altitude, the solar spectrum in space is essentially constant. This spectrum is called the 'Air Mass Zero' (AMO) spectrum, since it corresponds to zero atmospheric absorption. Differing measurements of this spectrum have been made. The space solar cell community has generally used two spectral distributions: (i) that measured by Thekaekara (1974); and (ii) that adopted by the World Meteorological Organisation (WMO), which is usually attributed to Frohlich and Wehrli (Wehrli, 1985). The spectrum published by Thekaekara sums to a total incident energy density of 1353 W m"2, whilst that of the WMO sums to 1367 W nrf2. Attempts are being made to standardise on the WMO spectrum (Bucher, 1995), although the Thekaekara spectrum is often favoured by industrialists and researchers, since it results in higher 'headline' values for solar cell conversion efficiency, which is the primary yardstick of performance for development laboratories. For spacecraft which operate on the surface or in the atmospheres of other planets (such as the Mars Explorer lander, and the proposed Beagle 2), the solar spectral distribution may be altered by the planet's atmospheric attenuation.
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13.3 History of solar arrays in space The modern era of photovoltaics began in 1954, with the publication of papers by Rappaport, and Chapin et al. in which, for the first time, silicon devices with conversion efficiencies around 5% were reported. This almost coincided with the dawn of the space age—the first deployment of a satellite was in October 1957—which provided a timely incentive for a power source with high specific power (power-to-mass ratio) and longevity. Photovoltaics was one option for powering satellites, along with beta-voltaics; in fact beta-voltaics, in which a semiconductor is exposed to beta-radiation, and an electrical current is driven by the resulting excitation of electrons, were the main subject of the 1954 Rappaport paper. However, the radiation that causes degradation of solar cells has even greater impact on beta-voltaic devices, so photovoltaics have come to dominate the satellite power market. With this space application in mind, the US military sponsored the development of solar cells from newly recognised semiconductors such as InP, GaAs and CdTe. Jenny et al. (1956) were able to report efficiencies of up to 6% for GaAs, whilst InP and CdTe cells achieved more modest efficiencies of up to 2% (Rappaport, 1959). The first satellite using a photovoltaic power supply, Vanguard, was launched in March 1958. The size of a large grapefruit, Vanguard had about 100 cm2 of solar cells producing several tens of milliwatts and it successfully mapped radiation intensity in space. The first commercial telecommunications satellite, Telstar, was launched soon afterwards, in 1962 (Smith et al., 1963). By the early 1970s, satellites were relatively common, and almost exclusively powered by n-on-p silicon solar cells, with efficiencies in space (i.e. illuminated by AMO sunlight) of around 12% (equivalent to 13-14% efficiency under standard terrestrial AMI.5 conditions). The n-on-p arrangement had early been shown (Mandelkorn et al, 1958) to be more resistant to radiation than the original p-on-n designs. In 1972, Woodall and Hovel reported an efficiency of almost 17% (AM1.5) from a GaAs cell. This cell included a novel Al/Ja^As 'window' layer. This had a sufficiently high band gap to allow most solar photons through to the active GaAs cell, while virtually eliminating losses due to recombination at the GaAs surface by removing 'dangling bonds'. Their design has since been improved on, and, with better material quality and growth techniques, efficiencies of more than 25% have been obtained from AlGaAs/GaAs heterostructures. GaAs-based cells have started significantly to supplant Si as the chosen power source for satellites (Datum and Billets, 1991).
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In order to reduce costs, in the mid-1980s the US military started to support development of heterostructure GaAs grown onto Ge substrates (which were cheaper, and also stronger, and could thus be made thinner and therefore lighter). GaAs/Ge solar cells, although less efficient than homoepitaxial GaAs cells, now power the majority of the (known) US military satellites. The efficiencies of laboratory-made silicon solar cells have risen significantly during the last decade, largely through the work of Martin Green's group at the University of New South Wales, Australia (see, for instance, Zhao et al., 1994). They have made several innovative breakthroughs, addressing the main loss mechanisms of recombination, series resistance and optical reflection losses to push efficiencies past 20% (AM1.5) for the first time in 1985, and higher since then. (For details, refer to Chapter 4). However, most of the innovations that have pushed up the terrestrial efficiencies of cells are not directly applicable to space cells, because of the latter's requirement for radiation-hardness. Those improvements that can be applied, have been, both in Europe and Japan, resulting in the 'hi-eta' Si solar cells with AMO efficiencies between 17 and 18%. A separate development was the work of Carlson and Wronski (see Chapter 5) to fabricate the first amorphous silicon (a-Si:H) cells in 1976. Efficiencies have improved since those early 2% devices, to 8% and beyond for single-junction devices. With its controllable band gap and ease of deposition, a-Si:H lends itself to multijunction geometries. Two- and three-junction stacks, which suffer less from the StaeblerWronski effect than do single-junction devices, are being vigorously developed to increase steady-state, degraded efficiencies above 10%. Although the efficiency of a-Si:H cells is considerably lower than that achievable with single-crystal material, the prospects of inexpensive processing, low raw material costs, and the possibility of completely avoiding separate supporting substrates, are sufficiently attractive to justify current (1999) attempts to commercialise the material for space use.
13.4 Market trends and drivers in satellite power requirements The market for PV space systems is growing rapidly, mainly because of the growth in low-Earth orbit (LEO) constellations. Table 13.2 shows an estimate of the total (civilian) market over the five-year period 1994-1998.
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Table 13.2
Hardingham
Estimated total size of the civilian space photovoltaic market, 1994-1998
Year
GEO power/kW
LEO power/kW
1994 1995 1996 1997 1998
130 110 120 130 250
20 50 110 220 300
Total/kW 150 160 230 350 550
Source: T. A. Cross, private communication.
Throughout the 1990s, the market was dominated by telecommunications satellites, mainly in Geostationary Earth Orbits (GEO). The relative importance of military payloads has decreased (indeed, the UK SkyNet-5 series of military spacecraft may be modified commercial satellites, rather than entirely bespoke systems such as were designed and built for SkyNet-4 and earlier). Table 13.3 shows the total market for 1998, further broken down by application. Table 13.3
Estimated 1998 total market for space photovoltaics, by application
Spacecraft type
1998 power per spacecraft/kW
GEO civil comms LEO civil comms Military Science/civil EO Microsatellites
-10 -3 -1-8 ~4 -0.3
1998 launches 25 80 192 13 10
Total power/kW 250 240 240 52 3
Source: T. A. Cross, private communication.
One challenge to this dominance of geostationary telecommunications satellites is the increasing interest in broadband communications including internet traffic. For applications where the inherent 'time-lag' delays—two-thirds of a second—involved in geostationary communications are unacceptable, constellations in low-Earth orbits are under consideration. To date, the only such constellation to have operated is the Iridium programme—which failed commercially, and is being decommissioned during 2000. However, several other systems are in the planning, build and launch phases. The market for scientific satellites is likely to remain fairly constant, and so decline as a fraction of the overall solar power market. Both the European Space Agency and NASA are moving towards "faster, cheaper, better" systems, and as a consequence are
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supporting lower development costs for individual missions-—with the result that this sector will become increasingly a technology follower, rather than a leader. As awareness of environmental issues increases, so does the market for Earth observation satellites such as the European Space Agency's EN VIS AT, shown in Fig, 13.2. However, the uses of the output information (imagery, meteorological data) are ultimately limited, and this market sector is not expected to grow rapidly in the next two decades.
Figure 13.2 The European Space Agency's ENVISAT earth observation platform, to be launched into a polar low-Earth orbit in 2001. The payload (which will monitor the atmosphere, land, sea and ice), is powered by a 4 kW silicon solar array. The solar array is shown deployed top right. (C) MMS; by permission.
In the case of telecommunications satellites, their revenue-generating capability is directly linked to the number of transponders available, which in turn is directly linked to the available power on-board. Over the last decade alone, the maximum power output from the most powerful telecommunication satellite solar arrays has leapt from some 5 kW to almost 20 kW.
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Two other factors that will have an impact on the space solar power market are a decrease in launch costs and a market drive to reduce the system-level cost of arrays, in terms of dollars per output watt. The former is the result of intense development in launcher technology throughout the 1990s, by countries (such as Brazil, India and Spain) developing an indigenous capability, conversion of military (missile) hardware to civilian applications, and competition (particularly in the USA) to supply the increasing small-satellite market. The latter will result from the increasing rationalisation of the space industry, whereby where possible system-level savings will be made regardless of perturbations or increases in some of subsystem costs. Table 13.4 shows one estimate of the total satellite market for the period 2000-2005. Table 13.4
Planned launches and total market value over the period 2000-2005
Year
Total anticipated launches
2000 2001 2002 2003 2004 2005
52 31 50 68 49 62
Satellite market by value/£bn Geostationary Other Total 3.9 2.0 3.0 4.4 3.7 4.3
0.8 0.5 0.8 1.2 0.7 1.1
4.7 2.5 3.8 5.6 4.4 5.4
After Kimber, 1999.
13.5 Satellite solar arrays ] 3.5.1 Components of a satellite power system A satellite power system is made up of four subsystems: the solar array, powerconditioning circuitry, energy storage (normally batteries), and a power distribution subsystem. In turn, the solar array is made up of several distinct parts: • • •
Solar panels (the substrates on which the array is based). The electrical part of the solar array (or ENS A: see Fig. 13.3). Mechanisms for deployment (hinges, tensioners, release mechanisms) and pointing towards the Sun (the SADM).
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The ENS A includes the solar cells themselves, interconnects to connect cell in series (or sometimes in series-parallel) to form strings, coverglasses for protection of the cells, blocking diodes to prevent current redistribution between strings, panel wiring harness, and interpanel wiring looms. These elements may not all be required in smaller or simpler solar arrays. For instance, in some circumstances it is possible to avoid the complexity of deployment systems, by mounting the solar panels directly onto one or more faces of the spacecraft, making 'body-mounted' arrays such as that on Giotto, shown in Fig. 13.1.
13.5.2 Design constraints The designer of photovoltaic system in space is constrained by the available area and the allowable mass. As mentioned above, photovoltaic applications in space fall into two categories: body-mounted arrays where the cells are directly mounted on the body of the satellite, and deployed arrays where the cells are mounted on some sort of wing arrangement. For body-mounted arrays, the constraint on area is obvious—the array size is limited by the satellite size (which in turn is limited by the size of the launch vehicle). For deployed arrays, the size is limited by: • • • •
the effect of atmospheric drag, particularly for low-Earth orbits. Fuel must be expended to keep orbit and station; the mass of the array and supporting wing structure, which increases with area; the available volume for the stowed array, within the launch vehicle; the increased complexity (and hence higher cost and lower reliability) of deployment mechanisms required for larger arrays.
The mass constraint for solar arrays relates to launch. A heavier satellite requires a more powerful (and hence more costly) launcher. Also, a heavier solar array leaves less of the satellite's 'mass budget' available for fuel, which is required for station keeping or alteration (for instance, to move a communication satellite to a different orbit). This in turn can limit the satellite's useful life. The laws of dynamics exacerbate this mass penalty, since the fuel required to launch each kilogram into geostationary orbit itself weighs another 1.5 kg. Thus solar arrays for space use are designed to be as light-weight as possible. Figure 13.3 shows one of the solar arrays on Orion as an example.
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Figure 133 One of the pair of solar arrays for Orion, a GEO telecommunications satellite. The panels containing the silicon cells are supported during inspection and test, to prevent damage to the fragile mechanisms, which are designed for low-gravity operation. The solar arrays generate 2.5kW. © MMS, by permission.
The area limitation provides a strong design driver towards the most efficient cells, and makes the market rather price-insensitive. Whilst space solar cells are typically 1 %-3 times more efficient than terrestrial cells, they can command 3O-100 times the price of terrestrial cells (at component level). Another strong design constraint for space solar cells and arrays is reliability. While it is often practical to design in some level of redundancy to allow for individual component failure in either the cells or the wiring, arrays themselves are generally •mission critical*, and it is rarely possible to design in redundancy at the array level It is almost never possible to repair space solar arrays during life, so they must have very high reliability. Partly as a result of this, great efforts are made in the design of space solar arrays to minimise risk.
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13.6 Space solar cell technology Because of the distinctive operating environment of space, solar cell technology for space applications has developed along very separate lines from terrestrial photo vol taics. The measure of performance in space tends to be based on a straightforward power level (rather than the terrestrial annualised energy output), considered against mass, cost and reliability. The 'reference environment' is also well defined (see above), as compared with the artificial spectra and intensities used for terrestrial photovoltaics. The radiation environment is harder to standardise, because of the uncertainties introduced by solar flare activity—indeed different industrial groups can baseline radiation levels differing by a factor of 2-3 for the same satellite in the same orbit for the same period—but a level of 1015 lMeV electrons/cm2 is a commonly accepted 'benchmark' for comparing cells and technologies. This level is broadly equivalent to the expected dose of a satellite in Geostationary Earth Orbit over a 10-year lifetime.
13.6.1 Conventional single-crystal space cells Silicon Silicon is an abundant element, and its material and processing technology have been highly developed for the microelectronics industry. All early solar cells used on space satellites were single-crystal silicon, and the material is still important for space applications, although its dominance is starting to lessen slightly as the GaAs industry matures. The performance of laboratory silicon devices has increased significantly during the last 5-10 years, from a plateau of 16-18% (AM 1.5) to nearly 25% by 1999 (Green, 2000). Most single-crystal silicon cells (whether for terrestrial or space use) are made by diffusing an n-dopant into p-doped crystal. Contacts are made by screen printing the grid pattern or (at higher cost) by vacuum evaporation of metals for thinner fingers, as in the German 'high-eta' cell. To achieve the highest efficiencies, recent developments have included: chemically texturing the front surface to increase the optical thickness of the cell and hence reduce reflection losses; careful oxidation of the front surface to reduce recombination losses; 'burying' the front grid in grooves formed by laser ablation, to reduce shadow losses; high-doping implants around the front grid to reduce recombination; and small-area back contacts for the same reason. Figure 13.4 shows a typical, highly engineered single-crystal silicon cell for space use.
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Hardingham
Si0 2 passivation and ARC
"inverted pyramids on surface if diffused layer
aluminium BSR and p-contact p* diffused BSR
Si0 2 layer
Figure 13.4 Typical structure of a high efficiency space solar cell (NRS-LBS-2 type cell from Sharp Corp).
Most silicon cells for space applications are made from 4" round wafer substrates. Two cells are normally cut from the wafer, with typical sizes being about 6 x 4 cm. The exact dimensions are often determined by the geometry of the solar array panels, in order to fit an appropriate number of cells across the panel and provide the required voltage. It has already been mentioned that solar cells are less efficient at higher temperatures. This is mainly because the 'dark current' increases with temperature. This reduces the output voltage of the cell, both at the maximum-power operating point and at open circuit. As an empirical 'rule of thumb', the open-circuit voltage of cells decreases by 2 mV per degree C temperature rise, independent of the cell type. Solar arrays pointing at the Sun normally operate at temperatures between 30 C and 90 C. In eclipse; temperatures can be anything from -IOC (for a body-mounted panel in LEO) to -140 C (worst case deep eclipse for a deployed array). Cell efficiency also decreases with increasing dosage of high-energy particles. Highenergy electrons cause uniform damage as they pass through a solar cell. On the other hand, high-energy protons, being larger, have more interactions, and tend to cause most damage towards the end of their path, as they are brought to rest. Protons that come to rest in the active region of cells thus do most damage. Radiation-induced degradation shows up in two ways. First, the minority carrier lifetimes and diffusion lengths are degraded, resulting in reduced photocurrent and lower short-circuit currents. Second, the recombination and diffusion currents in the diode both increase, resulting in lower (open-circuit and operating) voltages.
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p-contact SiN ARC -AIGaAs passivating "window" p" emitter layer n' base layer n' buffer layer n-contact (Ag/Au)
Figure 13.5
Schematic structure of a typical high efficiency GaAs/Ge single junction solar cells. After Marconi Applied Technology.
Gallium arsenide As a space solar cell material, gallium arsenide (GaAs) offers higher efficiencies than silicon, for two fundamental reasons: •
The band gap of the material is better matched to the AMO spectrum. Materials with a wider band gap operate at higher voltages, but can collect less light, so produce lower currents. The optimum combination of current and voltage depends on the spectrum of the illumination. It turns out the that the band gap of GaAs (at 1.43 eV) is nearly ideally matched to the AMO spectrum.
•
GaAs is a direct-gap semiconductor material, with a high absorption coefficient. It is very efficient at absorbing light in a few microns of material, which makes the resulting electrical carriers easier to collect.
In other words, GaAs cells can produce higher power per unit area than silicon cells. In addition, GaAs holds up better at high temperatures: with its higher operating voltage, the 2mV/C temperature degradation produces a slower fall-off in efficiency with increasing temperature than in silicon cells. Also, since the active region of the device is much thinner than are silicon cells, there is less material subject to radiation degradation, so the radiation resistance of GaAs is generally superior.
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Gallium arsenide cells have one significant disadvantage, however—the gallium arsenide substrate itself. It is an expensive, heavy and brittle material. Electrically, it is also redundant, since all the useful absorption occurs in the top few microns, which are epitaxially grown. Germanium, on the other hand, is cheaper and stronger (and thus can be made thinner and therefore lighter). It is also very well matched, in terms of lattice spacing and coefficient of thermal expansion, to GaAs. It was thus an obvious choice of substrate for GaAs cells, once techniques could be found for growing good quality GaAs (which is polar) on (non-polar) Ge. Today, almost all GaAs cells for space applications are grown on germanium substrates. Figure 13.5 shows the structure of a typical GaAs/Ge solar cell. Indium phosphide Indium phosphide (InP) has even better resistance to radiation than GaAs. InP cells have been developed both along heteroj unction lines (where the p-n junction is formed by depositing a very thin layer of Indium Tin Oxide, which also acts as an electrical contact, on the front surface) and as a homoj unction. The best efficiencies achieved are around 18%; however, the high cost of the InP substrates makes this type of cell uneconomic compared with GaAs-based cells. Some research effort has been directed towards growing InP onto silicon substrates (which is more abundant and cheaper still than germanium). However, the problems of lattice mismatch (there is an 8% difference in atom spacing between the two materials) have not been completely overcome, and the best cells to date are only around 11% efficient.
13.6.2 Advanced 'multifunction' single-crystal cells The physical principles behind multijunction cells are described in Chapter 8 by Professor Yamaguchi, and will not be repeated here. Space has provided the first practical, commercial applications for these high-efficiency multijunction technologies: Dual-junction cells The first use of dual-junction, GalnP/GaAs cells to power communications satellites was in 1998, on the Panamsat V satellite built by Hughes Space and Telecommunications.
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As of mid-2000, dual-junction tandem cells are available in production quantities for applications in space from two industrial companies (Spectrolab and Tecstar), and as pre-prototypes from three suppliers (Marconi Applied Technology, ASE, Emcore). GaAs-based triple-junction cells Triple-junction cells are starting to be industrialised. This design of cell is very similar to the dual-junction cell described above, but includes an 'active Ge' interface. During the epitaxial growth of GaAs on Ge, it is possible to 'diffuse' a p-n junction into the Ge itself, which can then act as an additional junction to separate charge produced in the Ge. This charge is generated from longer wavelengths of light, to which the top sub-cells are transparent. This light is useless in single-junction and dual-junction cells (indeed, it actually reduces the performance of single/dual junction cells by warming up the device). Since the additional light collected has a long wavelength, it is of low energy, and thus contributes a small amount to the total device performance. Nevertheless, efficiencies of 27-30% are reported for triple-junction cells (Spacedaily, 1999), compared with 23-25% for dual-junction cells, and 18-20% for single-junction cells.
13.6.3 Multiquantum well cells One area of solar cell research that has attracted a high level of interest over the last decade is that of multiquantum well (MQW) solar cells, described by Jenny Nelson in Chapter 10. Originally proposed by Barnham and Duggan (1990), a multiquantum well cell includes alternating layers of two different materials, with different band gaps. The (thin) layers of narrow band-gap material form 'quantum wells'. These can absorb light of low energy that would otherwise be wasted, and the current is then greater than would be produced by a cell of just the wider band gap. However, since the cell is predominantly made of the wider band-gap material, the voltage produced corresponds to that material. The prospect thus exists to combine the higher voltage with the high current, thus producing a more efficient cell than is possible from either the lower, or higher, band-gap materials alone. There is still considerable debate whether this is realisable in practice for high-efficiency, low loss devices (see, for instance, Bremner et al., 1999). However, of particular interest for space applications is the possibility of combining this MQW concept with multijunction cells, to tailor the current matching of cells, particularly after high-energy particle irradiation.
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13.6.4 Key technological and cost issues for crystalline cells Irrespective of the specific design of high-efficiency cells, the design targets to maximise performance at minimum cost determine some of the manufacturing technology. To minimise the cost of the critical process step of epitaxy (normally Metal Organic Chemical Vapour Deposition, although the alternative Molecular Beam Epitaxy is sometimes used), the trend is towards larger and larger equipment. This would increase throughput and reduce unit costs. Indeed, solar cell production is one of the markets pushing the development of the equipment for large-area epitaxy. Dual- and triplej unction tandem cells are stretching the technical performance—uniformity, repeatability, and availability and cycle times—of large-area epitaxy equipment to the limits. All space solar cells are currently manufactured by batch processing. Automated handling is gradually being introduced to increase throughput, along with high volume process equipment. Along with the epitaxy and processing, a high proportion of the cost of space solar cells lies in the substrate itself. The move to cheaper germanium has already been discussed in this context, and there is development work—though not very advanced—on replacing germanium with even cheaper silicon. For high efficiency cells, photolithographic techniques to lay down the contacts are preferred to screen-printing, to minimise shadow and electrical losses.
13.7 New approaches for satellite solar arrays The widely differing requirements from various spacecraft—geostationary, low-Earth orbiting, and interplanetary—means that there is no single direction which will be followed in the development of satellite solar arrays. However, it is clear that the trends will be towards improving the performance or reducing the costs of the solar array, when viewed as part of the total system (including launch). Since the solar cells themselves account for only between 10 and 40% of the total costs of a satellite solar array, considerable system level saving may be had by reducing the balance-of-system costs, even (possibly) at the price of more expensive solar cell costs. Equivalently, there will be arrays which can support more expensive balance-ofsystem costs, if sufficient savings can be made with the cells. An example of this is the SCARLET solar array, successfully demonstrated on the Deep Space One Satellite (Murphy and Eskenazi, 1997).
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Since the system-level costs of terrestrial photo vol taics are some 50-100 times lower than for space photovoltaics, it is inevitable that attempts will be made to use terrestrialbased techniques, processes and products in space.
13.7.1 Ultrathin single-crystal cells Since only the top few microns are electrically active in some single-crystal cell types (such as GaAs or InP), it is possible that the mass of the cells could be significantly reduced by complete removal of the substrate. To date, this has been demonstrated at the laboratory scale, but it does not appear to be economically viable.
13.7.2 Thin-film polycrystalline and amorphous cells The thin-film materials used for terrestrial photovoltaics offer huge potential cost savings in space. Also, there are strong indications that they are very resistant to radiation. Thus, although the beginning of life efficiencies are (currently) very poor, it is possible that the end-of-life performance may be competitive for some orbits. In 1999, at least two major space solar array companies were actively trying to transfer amorphous silicon cell technology to space applications. Although there is research into use of the other main thin-film types of cells—CIGS and CdTe—these do not currently look as promising as the amorphous silicon option.
13.8 Long-term directions Looking forward into the future for solar cells in space, it appears inevitable that they will continue to provide the primary power for the vast majority of spacecraft, and in particular for Earth-orbiting satellites, for many years to come. The market for highpower telecommunication satellites will continue to grow steadily, providing a secure and growing market for space solar cells. With the increasing interest in multi-satellite constellations, and with a smaller number of major space companies, it is possible that satellite manufacture will change from a bespoke business with repeat orders, to true mass production. (Moves towards this have already been seen with the Globalstar and Iridium constellations.) This would
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concepts, such as linear concentrators, and macro-reflectors, that reduce the dominance of the solar cell cost in the overall array cost are likely to be further developed. Finally, it has been suggested that the Sun's power could be harvested in space, and the captured energy transmitted back to Earth, perhaps at microwave frequencies to reduce atmospheric distortion. Whilst it is very unlikely that the technology will be developed in the next 5-10 years to deploy solar cells in this way, one can imagine that the future for space solar cells may eventually not be to power satellites, but to provide power for terrestrial applications, in some ways bringing the development of photovoltaics 'full circle'.
References BarnhamK. and Duggan G. (1990), 'A new approach to high efficiency multi-band-gap solar cells', /. Appl. Phys. 67, 3490-3493. Bremner S., Corkish R. and Honsberg C. (1999), 'Detailed balance efficiency limits with quasi-Fermi level variations', IEEE Trans. Electron Devices 46, 1932-1939. Bucher K. (unpublished, 1995), Minutes of Working Group A, 2nd Int. Workshop on Space Solar Cell Calibration and Measurement Techniques, Madrid. Chapin D. M., Fuller C. S. and Pearson G. L. (1954), 'A new silicon photocell for converting solar radiation into electrical power', J. Appl. Phys. 25, 676-677. Cusano D. A. (1963), 'CdTe solar cells and PV heterojunctions in II-VI compounds', Solid State Electronics 6, 217-232. Datum G. C. and Billets S. A. (1991), 'Gallium arsenide solar arrays—a mature technology', Conf. Record 22nd. IEEE Photovoltaic Specialists Conf., Las Vegas, IEEE Press, Piscataway, 1422-1428. Drolshagen G. (1994), Eureca Meteroid/Debris Impact Analysis, Noordwijk, ESA WPP-069, pp. 507-511. Flood D. and Rauschenbach H. (1988), 'Space photovoltaic power technology', Tutorial Notes from Conf. Record 20th. IEEE Photovoltaic Specialists Conf, Las Vegas, IEEE Press, Piscataway. Gaddy E. M. (1994), 'Results from the Goddard Space Flight Center's long duration exposure facility solar array component test', Proc. 1st. World Conf. Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1982-1985. Green M. A., Emery K., King D. L. and Igari S. (2000), 'Solar cell efficiency tables', Prog, in Photovoltaics 8, 187-195.
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Iqbal M. (1983), An Introduction to Solar Radiation, Academic Press, London, pp. 46-47. Jenny D. A., Loferski J. J. and Rappaport P. (1956), 'Photovoltaic effect in GaAs p-n junctions and solar energy conversion', Phys. Rev. 101, 1208-1209. Kimber R. (1999), private communication. Loferski J. J. (1993), 'The first forty years: a brief history of the modern photovoltaic age', Prog, in Photovoltaics 1, 67-78. Mandelkorn J., Kesperis J., McAffe C , Pharo W., and Schwartz L. (1960), 'Comparison of p-n and n-p silicon solar cells', Proc. 14th. Annual Power Sources Conf., p. 16. Murphy D. M. and Eskenazi M. L. (1997), 'SCARLET: design of the Fresnel concentrator array for New Millenium Deep Space 1', Conf. Record 26th. IEEE Photovoltaic Specialists Conf, Anaheim, IEEE Press, Piscataway. Rappaport P. (1954), 'The electron voltaic effect in a p-n junction induced by betaparticle bombardment', Phys. Rev. 93, 246-247. Rappaport P. (1959), 'The photovoltaic effect and its utilisation', RCA Rev. 20, 373-397. Reynolds D. C , Leies G., Antes L. L. and Marburger R. E. (1954), 'Photovoltaic effect in cadmium sulphide', Phys. Rev. 96, 533-534. Smith K. D., Gummel H. K., Bode J. D., Cuttriss D. B., Nielson R. J. and Rosenzweig W. (1963), 'The solar cells and their mounting [on Telstar]', Bell Syst. Tech. J. 42, 1765-1816. Spacedaily (1999); web page: http://www.spacer.com/spacecast/news/solarcell-99i.html. Thekaekara M. P. (1974), 'Data on incident solar energy', in 'The Energy Crisis and Energy from the Sun', Proc. Symposium on Solar Energy Utilization, Institute of Environmental Sciences, Washington D.C., pp. 2 1 ^ 9 . Wehrli C. (1985), Extraterrestrial Solar Spectrum, Publ. 615, World Radiation Centre, Davos-Dorf, Switzerland,. Woodall J. M. and Hovel J. J. (1972), 'High efficiency Ga^ALAs-GaAs solar cells', Appl. Phys. Lett. 21, 379-381. Zhao J., Wang A., Altermatt P. P., Wenham S. R. and Green M. A. (1994), '24% efficient silicon solar cells', Proc. 1st. World Conf. Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 1477-1480.
CHAPTER 14
STORAGE OF ELECTRICAL ENERGY RONALD M. DELL Retired from Harwell Laboratory, UKAEA [email protected] Problems worthy of attack prove their worth by hitting back. A "grook" by Piet Hein.
14.1 Introduction Although the world is predominantly dependent on fossil fuels for its source of energy, both nuclear energy and renewable energy sources are playing increasingly important roles, especially in electricity generation. The fossil fuels (coal, oil and natural gas) are non-renewable on any human time scale, as is uranium, except in the context of breeding fissionable plutonium in a fast breeder reactor (which has not so far proved economic). The renewable energy sources of timber and biomass, solar energy, wind energy, tidal and wave energy, geothermal energy, and hydro-energy (rain stored as potential energy in high altitude lakes) are all derived from solar energy except for geothermal energy and tidal energy. Fossil fuels are more than just fuels—condensed, concentrated sources of energy—possessing two other important characteristics: they are energy stores and they are readily transportable. By contrast, most of the renewable energy sources lack one or both of these characteristics. Renewable vegetation (timber, biomass) and geothermal energy are used primarily for heating purposes, although there are a few geothermal electrical power stations in New Zealand and elsewhere. Wind, tidal and wave energy and hydro-energy find their application in electricity generation. Solar energy is the one form of renewable energy that may be used both for space heating and electricity generation. Electricity is a clean, convenient and versatile form of energy. It is an excellent energy vector, meaning that it is readily transported but not easily stored. On the very large scale (~GWh), storage is practised by means of pumped-hydro, while on the 609
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small scale, electricity may be stored in capacitors or batteries. If renewable forms of energy, including solar PV, are to be developed for dispersed electricity generation on a significant world scale, then it is vital that efficient and economic means of electricity storage at an intermediate scale should be developed. The object of this chapter is to review progress in this direction.
14.2 Electricity storage options Apart from small-scale storage in capacitors (see Section 14.6), electricity may be stored only by first converting it to another energy form. The possibilities are potential energy, kinetic energy, thermal energy or chemical energy, as shown in Fig. 14.1. (Magnetic energy storage involving superconductors is omitted, being highly specialised and not relevant to solar energy storage.) Two of these electricity storage modes, potential energy and thermal energy, are already practised on a wide scale. The interconversion of energy from one form to another inevitably involves energy loss, generally in the form of waste heat. The storage of electricity as another energy form, followed by its later recovery as electricity, involves a two-stage cyclic process with cumulative losses. In general terms, the overall electrical efficiency of the process may be defined as the ratio of the electrical output of the system to the electrical input (Whout/Whin). When both the input to the system and the desired output are high voltage AC and the storage medium utilises low voltage DC (as with batteries, electrolysers and fuel cells), the electrical losses include those in the transformers and rectifiers as well as those inherently associated with the storage devices. In general, it is very difficult to obtain high electrical efficiencies when storing electricity and a significant loss must be anticipated. In the specific case of DC electrochemical storage, the losses may be sub-divided into coulombic losses, which arise from side reactions (e.g. the "gassing" of lead/acid batteries during charge), and voltaic losses, which arise from polarisation at the electrodes and result in a higher operating voltage than the thermodynamically reversible voltage.
14.2.1 Potential-energy storage Pumped-hydro schemes are in operation in numerous countries where the terrain is suitably mountainous, and this is the preferred route for the large-scale, centralised storage of electricity for a period of hours or, sometimes, days. Electricity generated
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Energy
Renewable energy sources (hydro, wind, tidal barrage, wave energy, solar PV)
Direct generation (non-Carnot)
Potential energy
Kinetic energy
Thermal energy
Chemical energy
Pumped hydro, compressed air
Flywheels
Storage heaters
Batteries, methanol, hydrogen
Figure 14.1
Electricity generation and storage.
in periods of low customer demand is used to pump water uphill to a high altitude reservoir or lake, where it is stored. When the demand for electricity is high, the water is released and allowed to flow down the mountain and through turbines to generate extra electricity. This is an efficient and cost-effective method for the large-scale,
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centralised storage of electricity. The overall (round trip) efficiency is around 70% (Segre, 1981). Pumped-hydro is particularly applicable to nuclear generators which, for both technical and economic reasons, are normally operated continuously on baseload. It has the added attraction that the response time to fluctuating demand is quite rapid (<1 min). The scope, however, for using pumped-hydro storage is limited by the availability of suitable sites. In the case of electricity generated by solar PV installations, the low flux density of solar radiation in temperate zones, and the correspondingly large surface areas required for generation on the 100+ MW scale, makes it unlikely that dedicated pumped-hydro storage will be attractive. In tropical zones, where the insolation is much higher, a novel suggestion is to float PV arrays on hydro-storage dams. Excess solar PV electricity generated midday could then be stored directly by water pumping, to be recovered later. This concept would be particularly relevant as a complement to conventional hydroelectricity generation in mountainous areas. Alternatively, PV generation could serve to reduce the rate of water drawdown from the dam in the dry season. If solar PV is to be adopted on a large scale in future, it is likely to be first as many dispersed units of, say, 1—10 kW size, although several grid-connected demonstration plants of MW size have already been built. These are by no means economically competitive at present, but the cost of PV modules is predicted to fall substantially in the years ahead. Grid-connected solar modules will not normally require electricity storage as economics would dictate that all PV-generated electricity would be used at once and other generating plant would be switched off to compensate. For smaller, dispersed units, which are not grid-connected, the storage time required would generally be 6—12 hours, to correspond to insolation by day and use during the evening or night. However, longer storage periods (-days) would be required periodically to accommodate cloudy weather. For this purpose, small-scale pumped-hydro storage is technically feasible and has been used for pumping drinking water into storage tanks. Whether or not this option is attractive is a matter of economics. Some farms already use another renewable energy source, wind power (aero-generators), for the pumping of water from rivers or canals for irrigation purposes and PV units have also been demonstrated for this application.
14.2.2 Thermal energy storage In the UK, night thermal stores are widely used for the space heating of buildings and these have the desired time constant of 6-12 hours. In these stores, a body of high thermal mass is heated by electricity during the night, when demand is low and
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reduced tariffs are available, and the stored thermal energy is then released gradually during the following day. In effect, the night storage heater is an electrical space heater with an inbuilt delay. One of its drawbacks is that the peak thermal output does not always correspond to the period of the day (generally the evening) when maximum heat is required. In principle, the thermal storage heater is well suited to solar energy, as maximum heat is liberated during the evening after daytime insolation. In practice, it seems very unlikely that electricity generation via PVs would be used for space heating, because the passive solar heating of buildings or the heating of water in solar panels are much more efficient and economic processes. Even then, a problem with solar heating is that there is a geographic and seasonal mismatch between supply and demand. Space heating is required primarily in high latitude countries in winter, where insolation is at a minimum. Space cooling may be a better bet, as there is then a direct correlation between the time and place of maximum insolation and the requirement for cooling (air conditioning). Given a building with sufficient thermal inertia, such cooling may persist well into the hours of darkness.
14.2.3 Solar electricity storage Solar-generated electricity has its greatest potential for lighting and power applications in tropical and sub-tropical regions where insolation is high, evenings are dark and there are many small communities cut off from centralised electricity supply. For this potential to be realised in full it will be necessary to have a practical means of storing PV electricity for hours, and sometimes for days. This could be small-scale pumped-hydro, kinetic energy storage in flywheels or chemical energy storage in batteries. At present, PV systems with storage use batteries (usually lead/acid ones). As mentioned above, some large-scale (>MW) solar PV installations have already been constructed and connected to the grid. In densely populated areas, because of the high cost of land, it is likely that in future large arrays would be mounted on existing buildings rather than be free-standing. An alternative proposal is to locate such large solar installations in desert or scrub land, often remote from centres of population and where insolation is high. It has been estimated that a solar cell farm in Australia's Northern Territories, of the same area as a typical cattle station (3000 km2), could generate sufficient electricity to supply all of Australia (Mayer and Rand, 1997). Aside from questions of technical and economic feasibility, there is also the question of how the electricity generated might best be employed. The construction of new, long-distance transmission lines is one possibility. Another is to build chemical plant
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that consumes large quantities of electricity (e.g. chlor-alkali plant, uranium-235 enrichment plant, water electrolysis plant) in the desert adjacent to the solar station. This would then substitute for conventionally generated electricity and, effectively, store solar PV electricity as chemicals. The chemical storage of electricity, particularly as electrolytically generated hydrogen, has been a theme underlying much work on renewable forms of energy generally (and might also have application for the storage of base-load nuclear electricity generated in periods of low demand). At present, all such schemes for solar generation at the MW scale, and subsequent storage as industrial chemicals, must be seen as little more than pipe dreams. In the remainder of this chapter, the storage of electricity on a more modest scale, as kinetic energy, as hydrogen and in electrochemical batteries, is discussed in greater depth.
14.3 Kinetic energy storage Electricity may be stored as kinetic energy in flywheels, a method sometimes referred to as mechanical energy storage. The principle of the flywheel for the transient storage of energy has been known since prehistoric times, in the form of the potter's wheel. In the Industrial Revolution, flywheels were adopted in steam engines to smooth out the power pulses from the pistons. This application has been continued in modern internal combustion engines, where the inertia of a flywheel carries the pistons past 'top dead centre'. Such conventional, low-speed flywheels are made of steel. Consider a simple flywheel in the form of a spinning circular ring or hoop connected by thin spokes to a central hub. The amount of stored energy will depend on the mass of the rim and how fast the wheel is spinning. If we may ignore the mass of the spokes, the moment of inertia / of the rim is given by / = mr2
(14.1)
where m is the mass of the rim and r is its radius. The kinetic energy U stored in the rim is given by U = 0.5/
(14.2)
where co is the angular velocity. Since the energy content depends on the mass to the first power and the angular velocity to the second power, the rotation speed is much more important than the mass in determining the energy stored in a flywheel.
615
Storage of Electrical Energy
The specific energy (i.e. the energy per unit mass) of the flywheel is given by Um = 0.5rW
<14-3)
and the energy density (energy per unit volume) by Uv = 0.5pr2(y2
(14.4)
where p is the density of the rim material. The circumferential tensile stress a in the rim is given by a = pr2a$-
(14.5)
and so the maximum kinetic energy per unit volume will be f/v(max) = 0.5o-(max)
(14.6)
Thus for a given wheel diameter, the maximum stored energy per unit volume is determined by the tensile strength of the material. The maximum stored energy per unit mass is given by £/,„(max) = 0.5cr(max)/p
(14.7)
so that a low-density material with high tensile strength is required. The 'rim and spoke' design of flywheel is by no means optimal, as the effective stored energy per unit volume is very low. Many other designs have been investigated, including flat disks and shaped disks that are thickened towards the centre in order to relieve stress concentration and increase the stored energy. Figure 14.2 shows a variety of possible designs. The moment of inertia of such wheels, obtained by integrating the mass of finite elements over the wheel radius, differs from that in the simple equation shown above for a rim. For example, a uniform disc has a moment of inertia / = 0.5mr2. For most useful shapes it is adequate to insert a numerical shape factor y in the equation / - ymr2. This factor will differ with wheels of differing design. Modern high-speed flywheels are constructed of fibre-reinforced composite materials. The carbon, glass and silica fibres that they contain have tensile strengths greater than that of steel for about one quarter of the density. Table 14.1 gives some data.
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R. M Dell
Figure 14.2
Table 14,1
Various flywheel designs.
Some flywheel material properties
51.5
Carbon fibre/epoxy
750
1.55
S glass/epoxy
350
1.90
1000
1.40
76.2
300
7.80
8.2
900
8.00
24.0
Kevlar fibre/epoxy Mild steel | Mataging steel Source: Glendenning (1979).
14
-°
1
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The fibres are incorporated in a resin matrix {e.g. epoxy) and the ultimate strength depends on the design and quality of the fibre-reinforced composite. The fibres are strong only in tension, and therefore the composites are wound so that the fibre is orientated circumferentially around the wheel. For maximum strength, a high fibre loading (-60 volume %) is required, with the polymer resin serving to form the shape of the wheel and bond the fibres together laterally. Because flywheels formed from composite materials are stronger than those made of steel, they may be spun faster and so store more energy per unit volume. When the substantially lower density of the composite is taken into account, the energy stored per unit mass may be up to ten times that of a steel flywheel. High-speed flywheels are generally mounted on low friction bearings or they are used with magnetic suspension systems which, being contactless, incur very small losses. The flywheel is housed in a vacuum enclosure in order to reduce air drag. With a good design, the wheel will take months to run down and lose its stored energy. If the ultimate tensile strength of a steel flywheel is exceeded, it will disintegrate violently, with potentially disastrous consequences. For this reason, a large safety margin must be adopted in defining the maximum operating speed. Composite flywheels are much safer, as they tend to delaminate radially and disintegrate gradually from the outer circumference, producing a web of fine fibres. This delamination may be overcome by constructing the flywheel from a series of concentric rings with a small gap between them. To hold the flywheel together, and allow for relative expansion of the rings under centrifugal force, an elastomer may be used in the gaps. This solves the delamination problem as the internal radial stress in each ring is minimal and is not transmitted from ring to ring. Working on these general principles, many sophisticated flywheel designs have been proposed. Flywheels have a number of attractive features for energy storage: • • • • • • •
they are high-power devices, which absorb and release energy at a high rate. they have a long life, which is unaffected by the frequency of charge/discharge cycling or by the rate of energy uptake/release. they are flexible in design and unit size. they require no maintenance (unlike many batteries). readily available materials are used in their construction. in principle, they may be mass produced at reasonable cost (especially when expressed on a per kW basis rather than per kWh). there is no environmental impact in their use or recycling.
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R. M. Dell
The most significant limitation of flywheels lies in their relatively modest energy storage capability (see Table 14.1). Flywheels are essentially surge power devices rather than energy storage devices and are ideally suited to applications involving frequent charge and discharge of modest quantities of energy at high power ratings. Whereas most chemical batteries are charge/discharge cycled at 1—10 hour rates, flywheels are capable of being cycled at 1—10 minute rates. For this reason, much of the recent interest in advanced flywheels has been in the context of surge power devices for use in battery/flywheel hybrid electric vehicles (HEVs). A modern design of a flywheel surge power unit, as developed for use in an HEV, is constructed of composite materials and rotates at high speed (35,000 rpm). It has only modest energy storage capability (0.8 kWh) but a rated power as high as 25-50 kW (Grudkowski and Polley, 1995). Flywheels are also of potential interest for stationary applications, both in the conventional electricity supply system and as an alternative, or supplement, to batteries for the localised storage of wind and solar energy. Since PV arrays may exhibit frequent and rapid fluctuations in power output, often from -90% to -10% of peak power in seconds or minutes, a flywheel buffer store could remove the need for downstream power electronics to track these large fluctuations and so improve the overall energy efficiency. In many situations, rechargeable batteries would seem to be a more appropriate storage medium for solar electricity and these are widely used today. Nevertheless, there may be some specific applications where the limitations of batteries make flywheels worthy of further consideration. One such application would be where long life is required and access for battery maintenance is impracticable. A satellite in Low Earth Orbit (LEO), as used in meteorology or earth surveillance, makes about 16 orbits of the Earth in 24 hours. During each orbit it experiences a period of sunlight, when solar PV electricity is generated and stored in its batteries, and a period of darkness when its batteries are discharged. The batteries are required to undergo 16 charge/discharge cycles per day, all at high rate, or 58,000 cycles in ten years. This is a formidable target for a secondary battery and a flywheel might be an alternative option for the short-term storage of solar PV electricity in a LEO satellite.
14.4 Hydrogen energy storage The production of useful chemicals by direct photochemistry and by photoelectrochemical procedures is discussed in Volume III of this series. Here we are concerned with electrochemical processes, specifically hydrogen production, for the storage of
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electricity produced by solar PV modules. (Electrical power can be generated on demand from the stored hydrogen by feeding it to a hydrogen-air fuel cell). Solar PV electricity is conveniently available as direct current, the voltage of which may be adjusted by series/parallel connection of the cells, to meet the requirements of the electrochemical process. However, the major obstacle to the use of solar PV for industrial electrochemical processes lies in the dilute nature of solar radiation. Industrial processes, such as the chlor-alkali process for the manufacture of chlorine and caustic soda, and the electrowinning of metals (e.g. aluminium, magnesium and sodium), are usually operated on a massive scale in order to be economic. If solar PV electricity were to be used, then either enormous solar arrays would be required in the desert (see Section 14.2.3), or the operation would have to be conducted on a much reduced scale. In general terms, for bulk chemicals or metals, small-scale production is unlikely to be economic. There may, however, be other applications where local manufacture is practicable because the scale is much smaller, e.g. for the electrowinning of metals such as tantalum or niobium. Another possibility is the local electrolytic production of chlorine for the purification of drinking water or for chlorinating swimming pools. During the 1970s, interest first arose in the hydrogen economy (Dell and Bridger, 1975; Dell, 1984; Barnes, 1988). Recognising that most forms of renewable energy lacked a storage component, it was proposed that this should be provided by hydrogen, produced by the electrolysis of water. At first, electricity generated offpeak by nuclear stations would be used, and later electricity from renewable energy sources. The attractions foreseen for hydrogen as a storage medium were: • • • • •
it is universally available in the form of water, from which it may be extracted conveniently by electrolysis. it may be transmitted over long distances in buried pipelines, which are cheaper to construct and operate than electricity grids, and have no visual impact. the gas in the pipeline provides some storage within the electricity supply system. hydrogen is the ideal fuel for use in fuel cells to regenerate electricity. hydrogen is oxidised cleanly to water in a fuel cell, thereby closing the cycle with no significant pollutants being formed.
In the hydrogen energy scenario, hydrogen is seen as an energy vector that conveys primary, renewable energy from the place and time where it is available to the place and time where it is required. The storage component would be provided by gas reservoirs, tanks and pipelines.
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Despite the attractions of hydrogen as an energy vector, several extraneous events conspired to diminish interest in the hydrogen economy during the 1980s and early 1990s. Chief among these was the demise of nuclear energy programmes in the United States and much of Europe, and the discovery of far more oil and natural gas than was foreseen in 1980. Technological advances in conventional power production, such as modern combined cycle gas/steam turbines that are more than 50% efficient in electricity production from natural gas, also played a role. Other factors that bore indirectly on the situation were the privatisation of electricity utilities (in the UK and elsewhere) and the general imperative of short-term profitability that subsequently pervaded industry. Another economic factor to be taken into account is that hydrogen is currently more valuable as a chemical feedstock than as a fuel. Chemical hydrogen is produced from water by reaction with fossil fuels (steam reforming) and is used in the manufacture of fertilisers (ammonia), in petroleum refining (hydro-desulphurisation, and for the reforming and upgrading of products), and in methanol synthesis. So long as fossil fuels are available at reasonable prices, it is difficult to see conventional hydrogen being replaced for these purposes by electrolytic hydrogen. If, however, developments in the environmental, economic or technical fields lead to a renaissance of interest in nuclear or renewable energy sources among the electricity utilities, and if hydrogen were to be developed as an energy vector on a large scale, then it could be that chemical hydrogen would also be produced electrolytically. At present some hydrogen is produced electrolytically in the chlor-alkali process, but this is often put to no better use than burning it to raise process steam. Interest in one aspect of the hydrogen economy—the hydrogen-powered fuel cell vehicle—has revived in the 1990s, driven by concern about poor urban air quality in major cities and facilitated by technical advances in the polymer electrolyte membrane (PEM) fuel cell. A vehicle powered by a hydrogen/air fuel cell would require -3.1 kg of hydrogen for a 500 km range (Deluchi, 1992). This amount of hydrogen stored in a typical petrol tank requires a gravimetric content of -6.5 wt% hydrogen and a volumetric content of -62 kg hydrogen/m3. These are the benchmark figures for a practical hydrogen-storage system proposed in the US Department of Energy's Hydrogen Plan (www.eren.doe.gov/hydrogen/program.html). While the short-term prospects for large-scale use of electrolytic hydrogen remain poor, premium fossil fuels will become more expensive and possibly scarce in the coming decades, and anxiety about greenhouse gases and consequent atmospheric warming is likely to mount. Concern about the atmospheric burden of C0 2 resulting from the burning of fossil fuels has already led to international agreements under the UN Framework Convention on Climate Change (FCCC) aimed at reducing national
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CO2 emissions.1 The associated energy and carbon taxes will put an increasing premium on low-carbon and decarbonised fuels. At that point, electricity generation from renewable energy sources should become more generally competitive and the requirement for energy storage on a large scale will emerge. Electrolytic hydrogen must then be considered as one option. In the meanwhile, circumstances in different countries and in different locations are sufficiently diverse that, for some of the smallscale applications mentioned above, solar PV electricity will become the preferred technology at an early date. For these reasons, it is expedient to continue the development of relevant technologies, including water electrolysers (to generate hydrogen), advanced metal hydrides and carbon nanostructures (to store hydrogen) and fuel cells (to reconvert hydrogen to electricity). The 'round-trip' efficiency of this process will depend on the type of electrolyser and fuel cell employed, but is likely to be -50%. The industrial development of these technologies is widespread in Europe, Japan and the USA, often with considerable governmental support.
14.4.1 Electrolyser development Commercial water electrolysers are manufactured in varying sizes, with power consumptions in the range of kW up to MW. A large electrolyser capable of producing 500 m3 h_1 of hydrogen might consume -2.3 MW of power. Large though this is, it is less than l/400th of the size needed to couple to a typical 1000 MW Pressurised Water Reactor. By contrast, typical solar arrays, with power outputs in the kW-MW range, could readily be coupled to today's water electrolysers. Large-scale water electrolysis plant has formerly been used in certain countries {e.g. Norway, Canada) to make use of surplus hydroelectric capacity. The hydrogen generated was used for the manufacture of ammonia-based fertilisers rather than electricity storage. With the advent of cheap natural gas as a source of hydrogen, this process has become much less significant. Electrolysers, like batteries, may be constructed in either monopolar or bipolar designs. The monopolar (or 'tank-type') electrolyser consists of alternative anodes and cathodes held apart by porous separators. The anodes are all coupled together in parallel, as are the cathodes, and the whole assembly is immersed in a single
Under the 1997 Kyoto Protocol of the FCCC, accepted by most developed countries, Japan, the USA and the EU are to reduce their emissions of the six main greenhouse gases by 6, 7 and 8% respectively between 2008 and 2012 from their baseline 1990 levels. The Protocol also allows nations to reduce costs by trading carbon permits.
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electrolyte bath ('tank') to form a unit cell. A plant-scale electrolyser is then built up by connecting these units in series electrically. (This is analogous to the construction of a typical automotive lead/acid starter battery.) Bipolar electrolysers and batteries, on the other hand, have a metal sheet, or bipole, which has the anode electrocatalyst coated on one face and the cathode electrocatalyst of the adjacent cell on its other face. The cells in one electrolysis module are series-connected through the bipole and the module operates at a higher voltage and lower current than the tank-type design. In building up an electrolysis plant, these modules are then connected in parallel. The general arrangement of the two types of module is illustrated in Fig. 14.3.
oxygen and electrolyte hydrogen and electrolyte
Figure 14.3 General arrangement of (a) monopolar 'tank' and (b) bipolar 'filter press' electrolyser modules. A = anode; B = bipolar electrode; C = cathode; D = diaphragm.
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The thermodynamically reversible voltage for water electrolysis, corresponding to the Gibbs free energy for the decomposition of water, is £° = 1.229 V at 298 K. This decreases almost linearly to 1.088 V at 473 K. The decrease in AG with increasing temperature is largely offset by an increase in the entropy term TAS, so that the enthalpy of the reaction (A//) is almost independent of temperature. As electrolysers are essentially adiabatic, and little heat is absorbed from the surroundings, the free energy corresponding to the entropy term is also supplied electrically. Thus the electrical energy consumed in the reversible reaction is almost temperatureindependent. However, increasing the operating pressure from about 0.1 MPa to 2.5 MPa (from 1 to 25 atmospheres) leads to an increase of about 0.08 V in the voltage required to decompose water reversibly, corresponding to the work required to compress the product gases. The practical voltage required for water electrolysis exceeds the reversible voltage by an amount determined by the electrical losses in the cell, which are: the resistive losses in the electrolyte, the overvoltage at the anode and cathode, and the resistive loss in the electrodes. The ohmic loss in the electrolyte shows a linear dependence on current density and may be as much as 0.5 V at a current density of 400 mA cm"2. The other electrical losses are less dependent on current density, but are still of major significance, totalling up to 0.4—0.8 V. Cells with base metal electrodes (e.g. mild steel cathodes, nickel anodes) and potassium hydroxide electrolyte, operating at 70 C and atmospheric pressure, typically require an input voltage of 2.1 V to yield a current density of 200 mA cm"2. By using cathodes electroplated with e.g. nickel boride and anodes activated with transition metal oxides (spinels, perovskites), it is possible to reduce this operating voltage to 1.7 V. Still further reductions are possible with precious metal catalysts, and a great deal of research has been carried out in recent times on more active electrocatalysts, both in the context of reducing the operating cell voltage of electrolysers and increasing that of fuel cells. Another class of water electrolyser uses a solid polymer electrolyte in the form of a perfluorosulphonic acid polymer membrane. This is a highly acidic membrane that shows good cation exchange properties and has a low resistivity for the conduction of hydrated protons. Typically, the electrocatalysts are coated on either face of the membrane. These membranes make very efficient water electrolysers, but they are as yet expensive. One application is for generating oxygen for life support in satellites and in nuclear submarines.
624 14.4.2
R. M. Dell Hydrogen storage
Having generated hydrogen by (solar) water electrolysis, it will next be necessary to store it. On the very large scale, hydrogen is stored in underground caverns and in cross-country pipelines. Liquid hydrogen is also produced in substantial quantities for use in rockets, nuclear bubble chambers etc. However, the liquefaction of hydrogen is an expensive process that uses a lot of energy, and liquid hydrogen may be stored for significant times only in large quantities. This would not be an appropriate procedure for solar PV-generated hydrogen, except at very large scales. Hydrogen may also be stored as an organic liquid, such as cyclohexane or methanol, from which it may subsequently be recovered by catalytic decomposition. Methanol (CH3OH) may be manufactured by the catalytic reaction of two molecules of H2 with one of CO. Methanol is an extremely versatile chemical in its own right and is also a potential liquid fuel for road transport applications. However, established economic processes for its manufacture exist and it is unlikely that, in the near future, it would be manufactured from electrolytic hydrogen and then decomposed back to hydrogen for use in a fuel cell. An alternative hydrogen-storage procedure, which is much better matched to the likely scale of solar-energy installations, is to store it in the solid state. Currently, the most promising solid-state hydrogen storage media are advanced metal hydrides and carbon intercalates, nanofibres and nanotubes. We shall discuss these options in turn. Metal hydrides A number of metals and alloys absorb hydrogen reversibly to form a metal hydride. On a volumetric basis, the hydrogen content may be as high as that in liquid H 2 . Some of these metal hydrides are of quite variable composition {i.e. M/H ratio), whereas others have only a narrow range of stoichiometry. These latter hydrides are discrete compounds, in thermodynamic equilibrium with the metal when they decompose. According to the Phase Rule, such a two-phase mixture has a dissociation pressure that is invariant with composition at a fixed temperature. As the temperature varies, the dissociation pressure follows the law \ogp = -A/T+B
(14.8)
where p (atmospheres) is the dissociation pressure, T is the absolute temperature, and A and B are constants. Figure 14.4 shows the dissociation pressure curves for a number of metallic hydrides.
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Energy Temperature (C)
500 400
300
200
2.0
100
2.5
50
3.0
25
0
3.5
1000/Temperature (K)
Figure 14.4
Dissociation pressures of a number of metallic hydrides.
Of these alloys, magnesium hydride (MgH2) contains the highest percentage of hydrogen by weight (7.65 wt%) and it is inexpensive. However, it is not a practical storage material: its p-T isotherm is such that it yields up its hydrogen at a useful rate only at temperatures above ~300 C. Also its enthalpy of dissociation is high, necessitating the supply and removal of considerable quantities of heat as the hydride is decomposed and reformed, respectively. Moreover, the kinetics of reaction between the elements are very slow unless an overpressure many times the equilibrium dissociation pressure is employed. This latter drawback can be circumvented, at the expense of a reduced gravimetric hydrogen content, by using the alloy Mg2Ni in the form of the hydride Mg2NiH4. Vanadium hydride (VH2) has a favourable dissociation pressure at near ambient temperatures, but only one hydrogen atom may be removed reversibly, resulting in a hydrogen storage capacity of only 1.9 wt%. Moreover, its enthalpy of decomposition is also high. The alloys LaNi5 and FeTi both form hydrides (LaNi 5 H 65 and FeTiHj 5 , respectively) that are usable at ambient temperatures and have lower enthalpies of decomposition than VH2, but their hydrogen contents are only 1.5 and 1.3 wt%, respectively. Considerable research and development was carried out on LaNi5 and
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FeTi in the 1970s, and it was shown that the hydriding/dehydriding reactions were fully reversible and that the systems could be cycled many hundreds of times at the laboratory scale without loss of capacity. Hydride/dehydride cycling was associated with a major volume expansion and contraction, which caused the alloys to disintegrate to fine powders and enhanced the subsequent reaction kinetics. From these studies (Strickland et al, 1974; Buchner, 1978), the following characteristics were identified as desirable in a metal alloy for hydrogen storage: • • • • • • • •
the dissociation pressure of the alloy should have a value of 1-10 atmospheres at near ambient temperature. the hydride should have a high hydrogen content per unit mass. the alloy should be of low cost and readily prepared. the system should exhibit favourable and reproducible reaction kinetics. the enthalpy of hydride formation should be as near zero as possible. the reactant bed should have high thermal conductivity. the system should not be poisoned by gaseous impurities. the system should be safe on exposure to air in any state of charge.
No one metallic alloy meets this full specification and the choice of alloy is a compromise based on the intended application. LaNi5 is a good choice for some applications because of its easy activation and tolerance to impurities in the hydrogen charging gas, but it is expensive. Recent research on alloys for use in nickel/metal hydride batteries (see Section 14.5.5) has developed new alloys based on mixed rare earth metals ('mischmetall') that are both superior in properties and cheaper than pure LaNi5. During the 1970s, researchers at Daimler-Benz (as it then was) developed the alloy Tio.98Zro.02Vo.43Feo.09Cro.05Mn,.5. This releases hydrogen reversibly at 25 C and is stable over many cycles, but its hydrogen storage capacity is only 2.5 wt%. Recently, the Ti/Fe-doped sodium alanates NaAlH4 and Na3AlH6 have been shown to have promising properties, with reversible hydrogen storage capacities of -2.5-3 wt% at 80-140 C, rising to~4.5-5 wt% at 150-180 C (Zaluski et al, 1999; Jensen et al., 1999; Zaluska et al, 2000; Bogdanovic et al., 2000). Some improvement in the performance of Mg2Ni alloys has also been made by the use of nanoscale particles. For example, nanocrystalline Mg-Ni alloys prepared by highenergy ball-milling (Holtz and Imam, 1999; Yang et al, 1999; Zaluska et al, 1999) or the powder metallurgical technique (Cui et al., 1999) have much better hydriding kinetics than the conventional materials. Nanocrystalline Mg1.9Tio.1Ni absorbs more than 3 wt% hydrogen in 2000 s at 423 K (Liang et al., 1999). Mg-graphitic carbon composites milled under organic solvents also show improved hydrogen uptake properties, and precious-metal coatings that improve the rate of hydrogen uptake by
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Table 14.2 Hydrogen storage properties of some promising materials
Material
US Hydrogen Plan Liquid hydrogen Isooctane/gasoline Mg-50 wt% LaNi5 composite La2Mg1T-40 wt% LaNis composite FeTi Mg2Ni SWNTs (low purity) SWNTs (high purity) SWNTs (-50% pure) GNFs (tubular)0 GNFs (herringbone)c GNF (platelet)c Undoped CNTs K-doped CNTs Li-doped CNTs Li-doped graphite K-doped graphite
Hydrogen uptake" wt%
kg/m
^6.5 10.66 17.3 2.5
>62 356 117
3.7
r„bs/K 3
Pabs/
atm
20
1
302
14.8
523
<2 96 >263 <4 81 >523 133 -5-10 -30-50 ~8 80 4.2 300 11.26 Ambient ^67.55 Ambient ^53.68 Ambient 3.2 0.4 298-773 14.0 112 Ambient 20.0 150 473-673 14.0 280 473-673 5.0 60 <313
Reference
Deluchi (1992) Liang et al. (1998) Gross etal. (1997)
25 25 0.3 120 10 112 112 112
Chen et al. (1999) Chen etal. (1999) Dillon etal. (1997) Ye et al. (1999) Cheng et al. (2000) Chambers et al. (1998) Chambers et al. (1998) Chambers et al. (1998) Cheney al. (1999) Chen et al. (1999) Chen etal. (1999) Chen etal. (1999) Chen etal. (1999)
wt% = weight percent of hydrogen in hydrided material following hydrogen uptake at temperature 7"ahs and pressure p^\ kg/m3 = kg hydrogen per m1 of hydrided material; 'including carbon-polymer tank and insulation; rln 'tubular', 'platelet' and 'herringbone' GNFs, the graphite platelets are aligned respectively parallel, perpendicular and at an angle to the fibre axis. SWNTs = single-walled nanotubes; GNFs = graphite nanofibres; CNTs = carbon nanotubes. Sources: cited references plus compilations in Dresselhaus etal. (1999) and Chen et al. (1999).
an order of magnitude and render the hydrided alloy non-air-sensitive are under development for these alloys by at least one manufacturer. Most work on metal hydrides has been carried out on the laboratory scale only. However, in the 1970s a major programme of work was carried out at Brookhaven National Laboratory, New York, to construct and test a large hydride bed suitable to store the hydrogen needed to power a hydrogen-fuelled road vehicle (Strickland et al., 1974). The pilot bed contained 400 kg of FeTi alloy and was capable of storing 5.5 kg
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R. M. Dell
of hydrogen (the thermodynamic storage capacity of FeTi is 1.75 wt%). A study was made of heat and mass transfer effects in a bed of this size. It was demonstrated that the bed could be charged with hydrogen in 5 hours, with an associated temperature rise of 37 C. A charging pressure of around 35 atmospheres was required. These studies demonstrated the feasibility of scaling up hydride storage beds to realistic sizes for use with industrial-scale electrolysers, although by no means have all the engineering problems been solved. Table 14.2 summarises the hydrogen uptake properties of metal hydrides and some promising carbon-based materials. Carbon-based hydrogen storage media In recent years, a number of finely divided or nanoscale carbon-based materials have been found to have excellent hydrogen uptake properties. Among the most promising of these are single-walled carbon nanotubes (SWNTs). These helically wound graphene2 tubules, of a few nanometres in diameter and lengths of up to microns, were discovered by electron microscopy among the products of carbon-arc discharge by Iijima (1991). The 'raw' tubules are often capped at the ends and nested one inside another, but methods of preparing pure open-ended SWNTs of specific diameter and topology in gram-scale quantities by catalytic decomposition of CH4 or CO have now been developed (Cheng et al, 1998 and 2000; Rinzler et al., 1999). Aside from their hydrogen storage potential, SWNTs are of interest because they may be made insulating or metallic according to their topology, and may therefore provide the means of making nanoelectronic devices. The graphene tubules of SWNTs are highly polarisable along their long axes, so that open-ended SWNTs should be natural van der Waals containers for molecules of appropriate size (Pederson and Broughton, 1992). In 1997, Mike Heben's group at the National Renewable Energy Laboratory in Golden, Colorado reported that SWNTs were capable of taking up molecular hydrogen (Dillon et ai, 1997). Since then, several groups (Ye et al., 1999; Liu et al., 1999; Chen et al, 1999; Wu et al. 1999; Seung et al, 2000) have reported the uptake by SWNTs of considerable quantities of hydrogen at sub-ambient temperatures or high pressures, and its complete release at room pressure and temperature or on slight heating. Agreement between different groups as to SWNT hydrogen uptake capacity is as yet poor, which is perhaps unsurprising in view of the differences in SWNT topology and purity and hydrogen adsorption/desorption conditions. It is also not established how and where the Graphene is a layer of graphite one atom thick.
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hydrogen is located; it seems to be physisorbed in molecular form inside SWNTs, but may also adsorb at open tubule ends, on the outer surfaces of SWNTs and in interstitial channels (Gordon and Saeger, 1999; Lee and Lee, 2000. The carbon nanotubes (CNTs) investigated by Chen et al. (1999) are nested multiwalled graphene tubules. As shown in Table 14.2, doping with about 1 part in 15 of Li or K (which ionise within the graphite matrix) apparently effects a remarkable improvement in the hydrogen uptake capacity of both CNTs and graphite granules, probably because the intercalated alkali metal ions force the graphene layers further apart. These figures await independent confirmation. Also contentious are the very high figures for the uptake of hydrogen by graphite nanofibres (GNFs) reported by Chambers etal. (1998). GNFs are collections of graphite fibres of cross-sectional area from 30 to 500 A2 and lengths from 10 to 100//m. Chambers et al. (1999) measured hydrogen uptakes by GNFs of up 67.5 wt% (or 25 H atoms per C atom), by pressure decrease (see Table 14.2). It is hard to envisage how so much hydrogen might be accommodated within GNFs, although it is worth noting the very high initial pressure (112 atm) of these experiments. Moreover, the absorbed hydrogen could not be completely recovered by raising the temperature. The durability of GNFs and other carbon-based materials under repeated hydriding/dehydriding cycles awaits extended testing, but clearly these materials merit further investigation as hydrogen storage media.
14.4.3 Fuel cells If solar PV electricity is to be stored as hydrogen, it is necessary to have a means of reconverting this hydrogen to electricity. This is the role of the fuel cell shown in Fig. 14.5. Fuel cells are essentially water electrolysers working in reverse; a fuel gas (normally hydrogen) is fed to one electrode and oxygen (or air) to the other. The electrochemical reaction that occurs forms water, generating a voltage across the cell, with the fuel electrode being negative and the oxygen electrode positive. A direct current may then be drawn. The fuel cell was invented in 1839 by Sir William Grove and has been much investigated ever since on account of its perceived advantages for power generation. These advantages are high thermodynamic efficiency (as it does not involve a Carnot cycle), good performance under low load conditions (in contrast to internal combustion engines), low pollution emission, rapid response time, simplicity of mechanical engineering and modular factory construction (which facilitates the
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gradual build-up of large units). Against these advantages must be set the many difficulties that have been encountered in the development of fuel cells towards practical, commercially viable, power devices, using as primary fuels natural gas, oil or coal. These primary fuels must first be reformed to hydrogen, and the difficulty of developing a satisfactory reformer is comparable to the difficulty of developing the fuel cell itself. It is then necessary to integrate the two units and to match their operating kinetics and thermal characteristics so as to obtain a mass and heat transfer balance. There is also a problem of poisoning of the catalyst used in the fuel reformer, and of the electrocatalyst in the fuel cell, by impurities (especially sulphur) in the primary fuel. Altogether, the fuel cell that uses primary fuels poses a complex set of engineering problems.
air Figure 14.5
Schematic of a fuel cell.
With pure, electrolytic hydrogen, as would be the case for solar PV-generated electricity, there is no need for a reformer and no impurities to worry about. The problem of developing a satisfactory fuel cell is therefore much simpler. Hydrogen/oxygen fuel cells have been used in manned space flight, the product water
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being available for life support. Plans have also been developed for combined electrolysers and fuel cells for this application, as a means of storing solar electricity generated by PV cells. Thus space technology is providing a lead for future terrestrial applications. A fuel cell of this type differs from a conventional battery in that the reactants are gaseous and are stored outside the cell. Therefore the capacity of the device is limited only by the size of the fuel and oxidant supply. For this reason, fuel cells are rated by their power output (kW) rather than by their capacity (kWh). A particular attraction of fuel cells for mobile applications, e.g. powering electric vehicles, is that the positive reactant (air) does not have to be carried around and is free. Unfortunately, this advantage is offset by the difficulty of conveying hydrogen. Compressed hydrogen in gas cylinders is both bulky and heavy, liquid hydrogen is impractical for most uses and the hydride storage beds described in Section 14.4.2 are still in the experimental stages. For these reasons, a fuel cell powered car would be likely to use liquid methanol as a fuel, with a reformer on board to decompose it to hydrogen. This concept is now in an advanced development stage, with several major automotive companies (DaimlerChrysler, Toyota, Ford etc.) involved. For larger vehicles, buses and trucks, it is possible that compressed hydrogen gas in cylinders might be used. Fuel cells come in a number of different types, which differ in the electrolyte they employ and the temperature range over which they operate. Thermodynamics favours operation at low temperature and high pressure for maximum equilibrium conversion to water, but kinetic factors (electrocatalysis, polarisation) call for higher temperatures, and a compromise must be made. At high temperatures, the overall energy efficiency can be maintained by waste heat recovery, even though the net voltage efficiency is lower. The five principal types of fuel cell are summarised in Table 14.3. The different fuel cell types have been developed for different prime applications. Phosphoric acid fuel cells operating at 200 C are now manufactured in large (MW) unit sizes to supply combined heat and power (CHP) to large building complexes. Alkaline fuel cells, used first in spacecraft, have been developed in multi-kW size for powering electric vehicles (van der Broek, 1993). A problem with using an alkaline electrolyte is that it absorbs C 0 2 from the air, poisoning the electrolyte and reducing its conductivity. It is necessary therefore to pre-scrub the incoming air to remove C0 2 . This problem is avoided in the polymer electrolyte membrane3 (PEM) fuel cell as the membrane is acidic and conducts hydrated protons rather than O H - ions. The PEM cell is regarded as one of the more promising types for powering electric 3
Also known as the proton exchange membrane fuel cell.
632 Table 14.3
R. M. Dell Principal types of fuel cell Temperature range
Fuel cell type
Electrolyte
alkaline
KOH
50-150C
phosphoric acid
H3PO4
200C
PtonC
polymer electrolyte membrane
perfluorosulphonic acid polymer
100 C
PtonC
molten carbonate
Li 2 C0 3
650 C
Li 2 0/NiO positive; NiCr alloy negative
solid oxide
Zr0 2 /Y 2 0 3
700-1000 C
Electrocatalyst nickel positive; steel negative (or Pt on C)
(La,Sr)Mn03 positive; Ni/Zr0 2 -Y 2 0 3 negative
vehicles but, like its counterpart the PEM electrolyser, the rather high cost of the membranes is a limiting factor. In North America, trials are proceeding with electric city buses powered by PEM fuel cell stacks. In Europe, DaimlerChrysler have demonstrated their small A-class car in an electric version powered by a PEM fuel cell (designated the NECAR 3, where NE stands for "no emissions"). The pure hydrogen fuel is manufactured on board by reforming methanol in a reformer developed by Johnson Matthey pic, and the PEM fuel cell is manufactured by Ballard Power Systems Inc. of Canada. Rapid advances are being made in this technology and there is optimism that fuel-cell-powered cars will meet the requirements for a viable electric vehicle. There are two high-temperature fuel cells, the Molten Carbonate Fuel Cell (MCFC) and the Solid Oxide Fuel Cell (SOFC). Both present difficult materials science and technology problems to be solved (Steele, 1996). Molten alkali carbonate at 650 C is a most aggressive medium and corrosion problems are severe in this fuel cell. The SOFC operates at even higher temperatures, in the range 700-1000 C depending upon the composition of the solid oxide electrolyte employed. The conduction mechanism is the movement of oxide ions (O2-) through a defective oxide lattice. Here the materials problems are concerned with fabrication of ceramic shapes and differential expansions between the solid electrolyte, the electrodes and the cell interconnect. There are also engineering problems of heat and mass transfer, and design with both types of high-temperature fuel cell. Despite these problems, considerable research progress has been made, and prototypes of both the MCFC and the SOFC in the kW range have been built and tested in several countries.
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Fuel cell development is a complex subject involving the collaboration of physical chemists, materials scientists and chemical engineers. Development teams have been active in several countries, especially the USA and Japan, over the past 20 years, with research backup in many more countries. For further information the reader is referred to the specialist journals {e.g. Journal of Power Sources) and the proceedings of fuel cell conferences, which have been held almost annually. A recent compendium of review articles by Hamnett (1996), Wendt (1996), Acres (1996), Appleby (1996) and Steele (1996), published by the Royal Society of London, gives an up-to-date overview of the field. In the context of storing electricity from PV cells, one can easily envisage surplus electricity being fed by day to a water electrolyser coupled to a metal hydride store. At night, when power is required, hydrogen would be drawn off from the store and fed to a fuel cell, either of the alkaline or PEM type.
14.5 Storage batteries 14.5.1 Introduction By far the most conventional means of storing electricity is in rechargeable batteries. The development of new types of secondary (rechargeable) battery with superior storage capability is an active field of research aimed at meeting the requirements of modern technology. These range from microbatteries, as used in heart pacemakers, pocket calculators, watches and so on, through small batteries, used for portable appliances such as mobile phones, laptop computers and video cameras, to the very large batteries used in telephone exchanges and other stand-by applications, and in electric vehicle traction. Table 14.4 shows the very wide spread (~109) of battery sizes for various applications. Individual batteries are usually rated in terms of their charge capacity in Ah, but when comparing batteries of different type (and therefore different voltage) it is more useful to think in terms of stored energy content (Wh). Small batteries (
634 Table 14.4
R. M. Dell Modern battery applications
Battery type
Stored energy /Wh
Applications
Miniature/button cells
0.1-5
Watches, calculators, heart pacemakers.
Portable communications
2-100
Mobile phones, laptops, portable radio and TV.
Domestic uses
2-100
Flashlamps, toys, video cameras, power tools.
Automotive
102-103
Starting batteries for cars, trucks, buses, boats etc. Traction batteries for lawn mowers, golf carts, invalid chairs etc.
Remote area power supply (RAPS)
103-105
Lighting, water pumping, telecommunications etc.
Traction
104-106
Electric vehicles, forklift trucks, tractors, torpedoes.
Stationary
104-106
Standby batteries, uninterruptible power supplies.
Submarine
106-107
Underwater propulsion.
Electricity supply industry
7
10 -10
8
Load levelling, peak shaving, spinning reserve.
To be successful, a storage battery should possess many different attributes. Among the most important are the following: • • • • • • • • •
high stored energy content per unit mass (Wh kg -1 ) and per unit volume (Wh dm- 3 ). high peak power output per unit mass (W kg -1 ) and per unit volume (W dm -3 ). wide temperature range of operation. high electrical efficiency (Whout/Whin). high cell voltage and stable voltage plateau during deep discharge. long charge/discharge cycle life. ability to accept fast recharge. good charge retention on open circuit stand. ability to withstand overcharge and overdischarge.
635
Storage of Electrical Energy • • • • • • •
low initial cost. reliability in operation. maintenance-free. rugged and resistant to abuse. safe in use and under accident conditions. made of readily available materials which are environmentally benign. suitable for recycling.
The relative importance of these parameters differs widely, depending on the battery application under consideration. For static solar PV installations, the mass and volume of the battery will not be as important as for portable or mobile applications. Key parameters for batteries to be installed in conjunction with large, fixed, solar arrays are high electrical efficiency, long life, good charge retention, reliable, maintenance-free operation and low cost. One of the complications of battery development and testing is that many of these parameters are inter-related in a complex fashion. Recoverable energy, for example, depends on the ambient temperature, often passing through a maximum, and it also declines with increasing rate of discharge (i.e. power output). The peak power output depends on the state of charge of the battery when tested. The effective cycle life of a battery depends critically on the depth of discharge (DOD) in each cycle. Moreover, batteries with different chemistries vary widely in their performance parameters, and so do different designs of battery with the same chemistry. It is this latter fact that makes it so difficult to compile tables making quantitative comparisons of the various parameters for different battery types. Although such comparisons have been widely made, they are at best only semiquantitative, as many of the numerical values depend as much on the battery design and on the conditions under which the battery is tested as on the fundamental battery chemistry. A secondary (rechargeable) battery is normally expected to undergo at least 500 charge/discharge cycles and often many more. An electric vehicle traction battery should have a life of 1000 cycles to be commercially viable, while a battery in a Low Earth Orbit (LEO) satellite is expected to last for >20,000 cycles. In chemical terms, this translates into electrode reactions that are quantitatively reversible for the desired number of cycles. The difficulty is that most batteries possess solid electrode materials and liquid electrolytes, and the electrode reactions involve solid-state diffusion, leading to phase changes and recrystallisation. A typical positive electrode reaction would be Solid (A) + Anion «
charge - Solid (B) + e~
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R. M. Dell discharge
e.g. Ni(OH)2 + OH- <
NiOOH + H 2 0 + e~
From the viewpoint of the solid-state chemist, the requirement to reverse this reaction quantitatively for hundreds or thousands of times is an exceedingly demanding schedule. The severity of the specification is apparent when one considers the many possible side reactions leading to battery deterioration and failure. These include: • • • • • • •
swelling of the electroactive material with loss of porosity. progressive formation of inactive phases, isolating active material. growth of metallic needles at the negative electrode, causing internal short circuits. shedding of active material from electrode plates. separator dry-out through over heating. corrosion of current collectors, resulting in increased internal resistance. gassing of electrode plates on overcharge, causing disruptive effects.
These and other degradation processes may result in sudden battery failure, through an internal short circuit, or may lead to progressive loss in capacity and performance. Generally the degradation steps are interactive and accumulative, so that when the performance starts to deteriorate it soon accelerates and the battery becomes unusable. Despite this gloomy prognosis, some remarkable success has been achieved in designing batteries of long cycle life (-1000 cycles) for several different chemistries, while one particular battery (the nickel/hydrogen battery) has been demonstrated to last for >20,000 cycles and is the preferred battery for use in LEO satellites.
14.5.2 Batteries for solar arrays Secondary batteries have a number of features that make them well suited to storing solar PV electricity: • • • • •
the system input and output is in the form of low voltage DC electricity. they respond immediately to supply and load variations, and are very reliable. it is possible to match the internal resistance of the battery to that of the load for maximum power output. modular construction allows flexible sizing and easy battery exchange. batteries have a short lead time in manufacture.
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Area. A 9- Load, L 1,
\i n2 /1
n3
r|, = solar array efficiency r\2 = charge efficiency r|3 = discharge efficiency
Storage battery
Figure 14.6 Schematic of solar PV array/battery combination.
Figure 14.6 shows a schematic of a solar array/battery combination connected to a load. A particular problem is that for maximum power output it is necessary to match the internal resistance of the battery not only to that of the load, but also to that of the solar cell array. This can be difficult, as the impedance of a solar cell is typically many times higher than that of a battery. A solar PV module consists of a combination of solar cells in series (to match the battery voltage, often 12 V or 24 V). Modules are then connected in parallel to multiply the current and reduce the impedance of the array. In order to select a battery for use with a solar PV installation it is necessary to take into account: • • • • • • • •
the output of the array and its variation with time of day and month of the year as insolation levels change (resulting in changes in the battery charging current). the environmental conditions, especially temperature. the requirement for reliability and freedom from maintenance, as dictated by remoteness and difficulty of access. the pattern of load demand placed on the battery as a function of time over each charge/discharge cycle. the electrical efficiency of the battery (Wh0lU/Whin). its rate of self-discharge on standing. the operational life of the battery. the commercially acceptable cost.
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R. M. Dell
The current applications for PV arrays are quite diverse, but often have in common their remoteness from mains electricity supply. Examples are: Maritime—Navigation buoys, drilling platforms, cathodic protection of structures, independent electricity supplies for small boats. Terrestrial—Microwave relay stations, telecommunications, railway signalling, street lighting, irrigation, pipeline monitoring and cathodic protection, power supplies for remote communities and homesteads, holiday caravans. Space—Power sources for satellites (a minor use by market volume, but vital for modern telecommunications). These are all examples of Remote Area Power Supplies (RAPS). As environmentally friendly, renewable energy sources become more widely exploited, the storage of solar PV electricity will assume increasing importance for these applications. Although many energy strategists and environmental visionaries foresee the day when renewable forms of energy, including solar PV, will start to displace large-scale central generation and distribution of electricity in populated areas, this is still some way in the future when the cost of PV modules will have decreased significantly. By then, new kinds of batteries may well have been developed. Already, in several locations in the USA and Europe, solar PV units mounted on buildings are supplying part of the electrical load of the building, with the remainder coming from the grid. The contribution from solar PV is not sufficient to require battery storage for these grid-connected applications. It is therefore appropriate, for the present discussion of energy storage, to focus mainly on RAPS applications and on batteries that are commercially available or in an advanced state of development. Most of the RAPS applications will lie in the power range 0.1-10 kW and require a battery of energy storage capacity 1-100 kWh. For comparative purposes, this capacity range corresponds at the lower end to that of a large vehicle starting battery, and at the upper end to that of, say, a traction battery for an electric bus. In many locations, it will be necessary to use a diesel generator and, optionally, a wind generator in conjunction with a solar PV array, either because the insolation is inadequate or because a solar PV array of the required size is too expensive (see Chapter 16 for applications). The role of a battery in a RAPS installation depends very much on the insolation level. In a tropical zone there is little seasonal variation in insolation, and in a desert region there is little rainfall and little cloud cover. Under these conditions the insolation is fairly predictable and the role of the battery is usually to store electricity generated during the hours of daylight for use during the hours of darkness ('supply
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levelling'). Only occasionally will it be necessary to store electricity for more than a day and so the extra margin of capacity required is quite small. Contrast this with the situation in a temperate zone that has a high occurrence of cloud cover. Not only will it be necessary to have a much larger PV array, because the insolation is low and erratic, but it will also be necessary to install a considerable excess of battery storage capacity to allow for several consecutive days of cloud cover. Superimposed on this is the major seasonal variation at these higher latitudes, as discussed below. Clearly, for a given application, both the solar array and the battery will be much larger and more expensive in the latter situation than in the former. Jensen et al. (1979) showed that to supply a constant 100 W load all year round in Denmark (latitude 56 N), it would be necessary to install a 20 m2 solar array and a 50 kWh battery—a prohibitively expensive undertaking for so little power. While improvements in the efficiency of solar cells since then will have reduced these values, it still seems likely that a yearround solar electricity supply at these northern latitudes will prove quite uneconomic, unless augmented by a wind and/or diesel generator. Simple algorithms have been prepared that allow one to calculate the daily load (in terms of kW and kWh) for a particular application, and also the weekly averaged load (Siemens Solar, 1996). The latter is particularly important when the use factor is variable day by day. An example of this might be a school that was used only on weekdays, or a holiday caravan used only at weekends. The maximum anticipated daily load determines the size of the battery and, by making this simple calculation, it is possible to avoid installing a battery that is too large and expensive. The size of the PV array required is determined by the weekly averaged load, with the battery acting as 'ballast' between days of low load and days of high load. The commercial objective must be to minimise the overall cost of the complete installation, solar array and battery together. Much may be done by way of load management, for example by using low-energy lamps for lighting, or well insulated, high-efficiency refrigerators. The extra capital cost of these items is likely to be small compared with the cost of increasing the size of the solar array and battery. Seasonal variations in insolation present a bigger problem as it will not generally be economic to install batteries for seasonal energy storage (here hydrogen storage may be more practicable). Fortunately, for some applications, electricity may be required only in summer when insolation is at a maximum: examples would be caravans, pleasure boats or remote holiday cottages. In other situations the winter load (lighting, TV) may differ from the summer load (refrigeration, air conditioning). Where RAPS is required all year round, it may be possible to combine solar PV in summer with wind generation in winter since, statistically, winds are stronger and more consistent in winter when insolation is at its lowest.
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R. M. Dell
Another seasonal aspect of installation design is to match the tilt angle of the PV array to the load demand. In countries of intermediate latitude, the maximum insolation in summer falls on an array with low tilt angle, whereas in winter, when the Sun is lower in the sky, maximum insolation is obtained when the array is tilted at a higher angle, perpendicular to the Sun's rays at solar noon. When using a fixed angle (non-steerable) array, the angle of tilt should be chosen so that the profile of insolation throughout the year best matches the load profile. If the load demand is small in winter and large in summer, as for air conditioning or water pumping for irrigation, then having a nearly flat array will give an insolation profile that best matches the load requirements. However, for loads that are almost constant throughout the year (e.g. repeater stations or navigational aids) it is better to use an inclined array so as to maximise the electricity generation during the winter months while sacrificing the excess generated in summer. By choosing a tilt angle for the array that gives the best match, the size and cost of the array is minimised. Most batteries, although not all, operate best at ambient temperatures, which commonly lie in the range 0—40 C. Outside this temperature range their performance deteriorates rapidly. This may pose problems for certain applications. In northern latitude continental countries (Canada, Russia), there may be good winter insolation on days when the temperature is -20 to -40 C. This will necessitate the selection of a battery that operates well at low temperatures, for instance nickel/cadmium. A more common case will be in tropical situations in summer, when the temperature of an outdoor battery could easily exceed 70 C. No aqueous electrolyte battery will perform well under these conditions and it is necessary either to enclose the battery in a thermally insulated (or ventilated) container, or to select a high-temperature battery, such as sodium/nickel chloride. A second role for the battery in a solar installation, quite distinct from its primary storage role, is to provide for power demand surges ('peak shaving'). Power surges of relatively short duration and up to six times the steady load are common, as appliances are turned on and off. Without the provision of a battery it would be necessary to have a much larger PV array, sufficient to meet the maximum instantaneous demand. This would be uneconomic. Similarly, when using an inverter to provide alternating current for domestic uses, inductive loads (such as motors in washing machines and vacuum cleaners, and compressors in refrigerators) all give rise to short-duration current surges. It is necessary for both the battery and the inverter to be capable of meeting these instantaneous loads. While DC versions of some of these appliances are commercially available, as used in caravans and boats, they do tend to be more expensive.
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Finally, the third distinct role of the PV battery is to smooth the fluctuations in current and voltage output from the solar array. Without this buffer function the power supply to the load would be erratic. Thus as well as providing a diurnal storage capability, its primary role, the battery serves as a buffer to match a fluctuating electricity supply to the load, which may itself also fluctuate.
14.5.3 Lead/acid batteries By far the most common type of storage battery is the ubiquitous lead/acid battery, invented by Plante in 1860 and greatly improved by Faure in 1881. Much of the market for rechargeable batteries is still met by lead/acid, with most of the rest being satisfied by nickel/cadmium, although rechargeable nickel/metal hydride and lithium ion cells in small sizes are now also available. Since its invention, the lead/acid battery has undergone many developments, most of which have been of a materials or design nature rather than changing its underlying chemistry. Examples include: •
the replacement of early glass containers by hard rubber, and later by high-impact polypropylene. • the development of through-the-wall cell interconnects. • safety vents for sealed cells. • automatic central watering systems for traction batteries. • improved alloys for grids leading to low-maintenance batteries. The electrode reactions of the cell are unusual in that the electrolyte (sulphuric acid) is one of the reactants, as seen in the following equations for discharge: negative electrode:
Pb + H 2 S0 4 <=* PbS0 4 + 2H+ + 2e~
£° = 0.356 V
positive electrode: overall:
Pb0 2 + H 2 S0 4 + 2H+ + 2e~ <=* PbS0 4 + 2H 2 0 £° = 1.685 V Pb + Pb0 2 + 2H 2 S0 4 - «=» 2PbS0 4 + 2H 2 0 E° = 2.041 V
On discharge, sulphuric acid is consumed and water is formed, with the converse on charging. The state of charge of the battery can therefore be determined by measuring the specific gravity of the electrolyte (1.28-1.30 for a fully charged cell). The lead/acid battery is unique in this regard. The capacity (Ah) exhibited by a lead/acid battery when discharged at a constant rate depends on a number of factors among which are the design and construction of the cell, its age and maintenance, the cycling regime (history) to which it has been subjected and the prevailing temperature. Figure 14.7 shows typical discharge curves
642
R. M. Dell 2.2
11.3
10 h
20
40
60
100
120
Capacity (Ah) h'igure 14.7 Typical discharge curves for lead/acid traction batteries.
for lead/acid batteries at varying rates. It is immediately apparent how the realisable capacity in a 30 minute discharge is only a fraction of that in a 10 h discharge. The cell voltage is also much reduced, resulting in an even greater reduction in available energy (Wh). The life of a battery is generally defined as the number of charge/discharge cycles that it will sustain before the capacity of the battery falls to 80% of its initial value, or the power output at 80% depth of discharge falls below a specified value. For lead/acid batteries the life is very temperature-dependent. These batteries operate best at 10-25 C. For continuous operation above 25 C, the battery life is shortened by a factor of ~2 for each 10 C increase in temperature. At low temperatures the power output of the battery falls off sharply. Battery life is also dependent on the depth of regular discharge employed, this factor being much more critical for some types of lead/acid battery than for others. There are several generic types of lead/acid battery: Conventional flooded batteries These are of the "pasted plate" type, employing cast grids made of lead (negative electrode) and lead/antimony alloy (positive electrode). These grids have rectangular holes into which the active materials (lead oxides plus additives), made up as a paste with sulphuric acid, are packed. The positive and negative plates are held apart by microporous polyethylene separators. After assembly, the plates are "formed" (charged) to convert the active materials to Pb0 2
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(positive) and Pb (negative). Traditionally these batteries have been employed as automotive batteries as they are the cheapest form of lead/acid battery. The duty cycle does not normally involve deep discharge and, for most of the time, the battery is in a charged state. The battery is unsealed and liberates gas on charging (and, especially, on overcharging if the voltage regulator is set too high), and it is necessary periodically to replenish the water ("topping-up") that has been lost from the battery by electrolysis. Screw caps are provided at the top of each cell for this purpose. The life of the battery, normally several years, is seriously shortened if it is subjected to deep discharge cycling. The principal reason for this is the molar volume expansion of the active electrode material on discharge, which causes it to break away from the metal grids ("paste shedding"). Other important factors are corrosion and break-up of the grids, electrical insulation of active material from the grids, irreversible sulphation of the plates (which is especially serious if the battery is allowed to stand in a discharged state) and internal short circuits. Heavy-duty versions of this battery are manufactured for some industrial applications. By modifying the design to incorporate glass-fibre mat separators it is possible to produce a flat plate battery that is suitable for deep discharge cycling. The glass mat serves to absorb shocks and to prevent shedding of active material from the electrodes. This deep-cycling ability is attained at the expense of increasing considerably the mass and cost of the battery. As mass is not a prime parameter for solar PV, these batteries are marketed for that application. Low-maintenance flooded batteries In recent years, a new generation of flooded batteries has been introduced for automotive use. These lose very little water and require almost no maintenance. The scientific advance that made this possible was the replacement of the Pb/Sb alloy grids by a Pb/Ca alloy or a Pb/Ca/Sn alloy. It is the antimony component of the traditional battery that gives rise to gassing and water loss on charge; by eliminating antimony a great improvement is effected. These batteries, however, are still unsealed and vented. They are intended solely for "float" use and their life on deep discharge cycling is even shorter than the conventional Pb/Sb batteries. Not only does the same shedding of paste occur, but also a high resistance layer forms more readily at the interface between the grid and the active paste. Such batteries should not regularly be cycled to >15% depth of discharge, and never beyond 50%. Tubular batteries These are the traditional storage batteries for deep discharge cycling. They are used extensively as traction batteries for all types of electric vehicles, e.g. tractors, tugs, forklift trucks, golf carts, milk floats etc. The positive grid
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R. M Dell
of the automotive battery is replaced by a Pb/Sb alloy casting of parallel rods or splines attached to a common header, rather like a coarse comb with well separated s teeth\ The parallel splines are each inserted into a series of vertical parallel tubes made of braided glass fibre surrounded by sheaths of perforated PVC. The positive active material is then packed into the tubes around the lead alloy rods that act as the current collectors (Fig. 14.8). The flexibility in the glass-fibre tubes allows for expansion and contraction of the active paste during cycling. As it is not possible for the active material to fall out of the tubes, these batteries have a long life when deep discharge cycled. However, they are more expensive than automotive batteries and still require regular topping up with water. A typical cycle life at 25 C might be 3000-4000 when cycled to 25% DOD and 500-1000 when deep cycled to 80% DOD. It is possible to minimise maintenance (water replenishment) by lowering the level of antimony in the positive grid from -10% to 3% or by using Pb/Ca alloys rather than Pb/Sb in the manufacture. The latter option results in a
Figure 14.8 Cut-away section of a tubular lead/acid traction battery showing pasted negative plate (nearest reader), porous polymer separator and tubular positive electrode.
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restriction to shallow cycling. At least one manufacturer does market such a battery specifically for shallow-cycle solar PV applications; up to 3500 cycles at 20% DOD are promised. This battery would be suited to remote applications where the cost of servicing a conventional tubular battery would be so high that it is cost effective to buy a battery pack several times larger than would be required for deep cycling and to restrict it to 20% DOD cycling. A compromise solution would be to use a lowantimony tubular battery, which has a reasonably good life when deep-cycled and does not require too much water make-up. Maintenance-free, sealed batteries For many battery applications, including a high proportion of solar PV installations, maintenance-free batteries are an essential requirement. In these cells, the problem of water loss through electrolysis at the top of charge has been side-stepped by arranging that hydrogen and oxygen released on charging are recombined within the cell. This is possible by using a non-flooded ('electrolyte-starved') design in which the sulphuric acid is held in the interstices of an absorbent, glass-fibre mat that serves as the separator. Only the minimum quantity of acid needed for the electrode reactions is used and there is sufficient voidage in the glass mat to permit oxygen gas liberated at the positive to diffuse across the separator and recombine electrochemically with hydrogen at the negative electrode. The cell may then be sealed, although a safety valve is fitted which is set to vent at a small overpressure. These cells are also known as 'Valve-Regulated Lead/Acid Batteries' (VRLA). An alternative version of the sealed battery has the sulphuric acid immobilised in a silica gel. Because no maintenance is required, valve-regulated batteries are particularly suited to RAPS sites where access is difficult or expensive. Although maintenance-free, sealed lead/acid batteries are not ideally suited to deep discharge, but they may be used for medium-depth discharge cycles. As an example, one manufacturer of a 100 Ah VRLA battery sold as a PV reserve battery quotes the estimated cycle life at 25 C when discharging at the 8 h rate as follows: 300 cycles at 80% DOD, 600 cycles at 50% DOD, 1000 cycles at 20% DOD. In qualitative terms, the situation may be summarised as in Table 14.5. To select a lead/acid battery for a particular application, the solar engineer will need to consider the relative importance of these factors. For example, in a remote location, or where skilled maintenance staff are not available, the higher cost of a sealed battery may well be justified, although such batteries are not recommended for high ambient temperatures. Alternatively, a low-antimony tubular traction battery might be used, or an oversized, low maintenance automotive battery cycled to a lesser depth. For PV home and lighting applications, where initial cost is a major consideration and regular maintenance is possible, a conventional automotive battery
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may be the answer, but such batteries are likely to have a short life. Clearly, it will be necessary to evaluate the battery performance data, as well as the relative costs, before making a selection for a given application. Table 14.5
Comparison of the generic types of lead/acid battery
Comparator
Conventional flooded (pasted plate)
Flooded (low maintenance)
Traction battery (tubular)
Sealed battery (VRLA)
Designed for (cycles)
shallow
shallow
deep
medium
Life (when deep cycled) short
short
long
medium
Maintenance required
yes
no
yes
no
Tolerance to high temperatures
fair
poor
fair
poor
Cost
low
low
medium
medium
A detailed study of the performance of lead/acid batteries of various types in both simulated and real RAPS applications has been made in recent years by the Australian Government research team at CSIRO, Melbourne (Rand and Baldsing, 1988; Hollenkamp et al., 1990; Baldsing et al., 1991). This work has highlighted the real complexity of the lead/acid battery and how its performance depends not only on its design and the conditions under which it is charge/discharge cycled, but also on the details of its manufacturing process, especially the specification of the active materials employed and the conditions under which the paste was "cured" and applied to the grids. This study is providing the scientific insight needed to optimise lead/acid battery manufacture and use in RAPS applications. Two surprising interim conclusions from this ongoing study are: 1. The life of flooded, flat pasted-plate batteries under RAPS cycling conditions is determined more by the thickness of the positive plate than by the antimony content of its grid. Thick, low-Sb positive plates give a battery of long cycle life with very little need for water make-up. 2. Of the sealed valve-regulated batteries, those with gelled electrolyte behave very much better under RAPS cycling than those with absorptive glass microfibre technology. RAPS field trials have been conducted in Australia with various types of lead/acid battery and, as a result of these, gelled-electrolyte, valve-regulated batteries of a suitable design are now gaining in popularity for RAPS use.
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Energy
To summarise the situation for lead/acid batteries, there are several different types of battery suitable for solar PV use, as well as numerous manufacturers, and the choice depends very much on the application. Critical factors to be taken into account are: the local insolation profile at the geographic location and the performance characteristics of the PV array to which the battery is to be matched (i.e. the charging current and its variation with time); the diurnal, weekly and seasonal load variations; the ambient temperature under insolation; the importance of maintenance-free operation; and the optimisation of cost for the overall system. Detailed analysis is beyond the scope of this article and should be made on a case-by-case basis.
14.5.4 Nickel/cadmium batteries Nickel/cadmium (Ni/Cd) rechargeable batteries were invented in Sweden in 1899. They have a cadmium metal negative electrode, a nickel oxide positive and the electrolyte is a concentrated solution of potassium hydroxide. The charged cell, which may be represented as Cd(s)|KOH(aq)|NiOOH(s), has an open-circuit voltage of 1.30 V at 20 C. The overall cell reaction is discharge
Cd(s) + 2NiOOH(s) + 4H20(1) * = *
Cd(OH)2 + 2Ni(OH)2.H20(s)
charge
although in detail the reactions taking place are considerably more complex, with the formation of some hydrated Ni(IV) oxides at the end of charge. The positive electrode has, typically, a few % cobalt hydroxide added to improve cell capacity and cycle life, while the KOH electrolyte contains a little LiOH to aid charge acceptance {i.e. to improve coulombic efficiency). After lead/acid, the nickel/cadmium battery has traditionally been the most widely used secondary battery. This is changing with the advent of new battery chemistries, as discussed below. Ni/Cd cells are made in many different sizes: sealed cells for portable applications (toys, communications etc.) range from 10 mAh to 15 Ah capacity, while vented cells used as standby power units have capacities up to 1000 Ah. High-power cells, capable of delivering up to 8000 A, are available for engine starting and are used in some heavy vehicles and aircraft. Ni/Cd batteries are also employed for electric vehicle traction, especially by French manufacturers. The Ni/Cd battery has a practical discharge voltage of 1.2 V, considerably below that of lead/acid (2.0 V). The specific energy (in Wh kg -1 ) of the Ni/Cd battery is consequently only marginally better than that of lead/acid although it contains less
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material of high density. The battery voltage is almost independent of depth of discharge. In many ways this is a desirable characteristic, although it does preclude using voltage as a measure of the state of charge of the battery. The other positive features of the nickel/cadmium battery are: • high electrical efficiency at 20 C. • long cycle life (up to 2000 cycles). • continuous overcharge capability. • high rate discharge and charge. • good performance at low temperatures (to -40 C). • rugged and reliable in operation. • low maintenance. Against these positive features must be set some negative aspects: • • • •
high cost (up to ten times that of lead/acid). electrical efficiency decreases above 35 C. toxicity of cadmium makes for recycling difficulties. the sealed battery exhibits the so-called "memory effect", whereby after repeated shallow cycling the full capacity is not readily available.
For many applications the high cost is a major deterrent, although the steady sales of this battery are proof that this is not always the case. There are several different generic designs of Ni/Cd battery (Falk and Salkind, 1969; Berndt, 1997). In the traditional design, the active material of both electrodes is contained in pockets formed from perforated, nickel-plated, steel strip. The pockets join together to form the electrode. Cells of this type are termed "pocket plate cells". They have flooded electrolyte and require periodic, but infrequent, addition of water. Improved performance and longer life are obtained, at higher cost, in "sintered plate" cells. In these, the positive electrode is formed from a highly porous, sintered plaque of nickel powder into which the active material is incorporated by electrochemical impregnation. The sintered nickel plaque serves to give the electrode mechanical strength and stability, and low resistivity. These cells are used where long life, maintenance-free operation is essential and high cost is not a prime consideration (e.g. in satellites). Recently, other types of nickel oxide electrode have been developed based on substrates formed from nickel felts, foams or fibres, and some of these are now being employed in Ni/Cd batteries. Small sealed cells often contain "rollbonded" electrodes in which the positive and negative active materials are simply pressed and bonded on to current collector strips, the separator inserted between the strips, and the assembly rolled into a 'swiss-roll' configuration before insertion into a
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small cylindrical cell case which is then sealed. As with sealed lead/acid cells, it is necessary to operate in an 'electrolyte-starved' regime so that oxygen liberated on overcharge may be reduced back to water at the negative electrode. At first sight, the sealed Ni/Cd battery might seem the best choice for PV applications as there is no water loss and it requires no maintenance. Further consideration, however, may modify this judgment. When subjected to shallow cycling it is prone to exhibit the "memory effect", from which it is possible to recover only by fully discharging the battery. However, it has been stated unequivocally by a major manufacturer (Green, 1994) that this effect has never been observed in any type of flooded Ni/Cd battery. The pocket-plate battery has two significant advantages for PV applications: 1. The system can be designed for regular deep discharge without risk of damage to the battery. 2. In the event of failure of the electronic control, the battery may be fully discharged and even reversed without damage. The relative merits of flooded and sealed Ni/Cd batteries for any particular PV application need careful evaluation.
14.5.5 Other alkaline batteries The nickel/cadmium battery is just one of a family of rechargeable batteries using aqueous KOH electrolyte (Dell, 1996). With NiOOH positive electrodes it is possible to use cadmium, iron, zinc, hydrogen/platinum or metal hydride negatives. Another such set of batteries is possible in which the nickel oxide positive is replaced by silver oxide (Ag 2 0 2 ), making a total of ten battery types altogether. The nickel oxide batteries are more widely employed than the silver oxide batteries on account of their lower cost. Nickel/iron batteries The nickel/iron battery (Fe/NiOOH), like nickel/cadmium, is almost 100 years old and has long been commercially available. It is also a 1.2 V cell and undergoes analogous cell reactions. This battery has been used extensively as a traction battery for electric forklift trucks, tractors and mine locomotives, especially in Sweden and Russia. Its main limitation is that it has a low overall electrical efficiency, due to corrosion and excessive gas liberation on charging, so that it requires frequent water addition. It is therefore quite unsuited to most solar PV applications. For a review of the nickel/iron battery, see Ojefors (1984).
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Nickel/zinc batteries The nickel/zinc battery (Zn/NiOOH) has been extensively studied in recent years on account of its higher cell voltage (VQC = 1-76 V, operating voltage Vop = 1.6 V) and its higher specific energy (70-100 Wh kg -1 )- These factors make it of great interest as a potential EV traction battery (McBreen, 1984). Unfortunately, it suffers from one serious drawback: the greater solubility of zinc in KOH, compared to Cd and Fe, leads to a much reduced cycle life. This causes the negative electrode to change shape and lose capacity as zinc migrates and accumulates towards the centre of the plate. There is also a marked tendency for zinc dendrites to grow from the negative and these can penetrate the separator and cause an internal short circuit of the plates. Much research has been directed towards elucidating and overcoming these limitations, and some success has been reported recently. If these problems can be resolved or circumvented, then it seems likely that the nickel/zinc battery has a bright future and may also be of interest for solar PV applications. For the present, though, it is not commercially available. Nickel/hydrogen batteries The nickel/hydrogen battery is a specialist battery developed for use in satellites to replace nickel/cadmium (Hill et al., 1988). Its principal attractions are that it is a sealed cell that is highly reliable, requires no maintenance whatever, and may be designed to have an almost indefinite cycle life. More than 20,000 cycles have been demonstrated. Its principal limitation at the present time is exceptionally high cost. The cell takes the form of a cylindrical high nickel alloy (inconel) vessel with hemispherical end caps, which serves as a pressure vessel for the negative reactant, hydrogen gas. When the cell is fully charged the internal pressure is -50 bar, falling to 2—3 bar in the discharged state. It has a sintered nickel oxide positive electrode, a porous, ceramic paper separator (ZrC^AY2O3) and a platinum-on-carbon negative. The platinum is the catalyst for the oxidation of hydrogen during discharge and liberation of hydrogen during charge, and therefore resembles a fuel cell electrode. Nickel/hydrogen batteries have now largely replaced nickel/cadmium in satellites, a true solar PV application, but one where initial cost is a secondary consideration compared to performance and reliability. Nickel/metal hydride batteries Nickel/metal hydride batteries have been developed in recent years as a more practical, lower cost version of the nickel/hydrogen battery for terrestrial use (Berndt, 1997). The idea is to store the hydrogen in the charged state as a metallic hydride of comparatively low dissociation pressure at ambient temperature (see Section 14.4.2). These cells were first investigated in the mid-1970s using LaNijHg as the negative electrode (Markin et al, 1978, 1981), and were commercialised in the 1990s by companies in the USA, Japan, Germany and France.
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Because of the high cost of pure, separated lanthanides, commercial cells generally employ mixed rare earth metals ('mischmetaH') with various additives to improve their performance (the AB5 compounds, where A is a mixed lanthanide and B a mixture of transition metals). At least one manufacturer prefers to use intermetallic alloys based on titanium and zirconium (the AB2 compounds). The attractions of the nickel/metal hydride battery lie in the value of its cell voltage (1.2 V, the same as Ni/Cd, allowing for immediate substitution), its higher specific energy (70-80 Wh kg -1 ) and energy density (~170 Wh dm -3 ) than Ni/Cd (particularly important for portable electronic applications), and the fact that there are no toxicity problems associated with recycling. Negative aspects are comparatively high cost, a higher self-discharge rate than nickel/cadmium and poor charge acceptance at elevated temperatures. Small, rechargeable nickel/metal hydride cells are now being extensively employed in portable power applications (laptop computers, portable tools etc.) and, by the end of 1997, the installed production capacity in Japan alone was 50 million cells per month. More recently, much larger batteries have been built experimentally, including a 75 kWh traction battery. It is becoming clear that this is a new sealed battery with a good future that merits detailed evaluation for solar PV applications. Silver batteries Silver batteries contain Ag(II) oxide as the positive electrode and this discharges in two steps, namely, Ag 2+ —> Ag + and Ag+ —• Ag. This gives the potential for higher energy density batteries than with the nickel oxide NiOOH positive electrode which discharges in a one-electron step to Ni(OH)2. Rechargeable silver/zinc and silver/cadmium batteries find application where high specific energy and power levels are critical, notably in the military sphere. The Ag/Zn battery offers the highest energy density of any commercially available rechargeable battery (150 Wh kg -1 and 200 Wh dm -3 ) and a wide operating temperature range (-20 C to +70 C). However, its useful life is limited to a few tens of cycles at best, on account of the significant solubility of both ZnO and Ag 2 0 2 in KOH. The Ag/Cd battery has a lower specific energy (up to 80 Wh kg -1 ) but a longer cycle life (up to 300 cycles). Bearing in mind the high cost, the short cycle life and the fact that high specific energy and power are not primary considerations for most solar PV applications, it seems unlikely that silver batteries will be of interest in this connection. Having said that, it should be mentioned that in the 1996 World Solar Challenge race for solar powered electric cars across Australia from Darwin to Adelaide, six out of the first seven competitors to complete the course were equipped with packs of silver/zinc batteries (Rand et al., 1998).
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R. M. Dell
Zinc/air batteries Zinc/air batteries cannot readily be made electrically rechargeable. All attempts to develop electrically rechargeable zinc/air batteries have so far failed. However, mechanically rechargeable Zn/air batteries are in an advanced state of development for EV traction. The zinc negative electrode is consumed during discharge and, at the end of discharge, the zinc plates are simply replaced by inserting a new cassette, as well as replenishing the spent KOH electrolyte. Thus, the mechanically rechargeable Zn/air battery may be seen as a fuel cell, with the "fuel" being zinc metal plates. At first sight, this does not seem promising for RAPS applications as the battery does not store PV electricity and the maintenance operation is labour-intensive. However, the battery is said to be inexpensive to build and operate, and maintenance can be infrequent. It is possible that for some applications such a quasi-secondary battery could find a role, not as a storage medium for PV generated electricity, but as an adjunct to a PV array, providing electricity when there was little insolation. It may also be possible to use a smaller, and less costly PV array, with the capital savings traded against the running cost of buying and fitting fresh zinc cassettes. In the extreme, such a hybrid system may be seen as a "solar-assisted primary battery" rather than battery storage for a PV array.
14.5.6 Aqueous flow batteries Flow batteries are secondary batteries in which the aqueous electrolyte is stored externally to the cell and is pumped through it during charge and discharge. There are two separate electrolyte flow loops, an anode (negative) loop and a cathode (positive) loop supplying, respectively, anolyte and catholyte to the cell. The separator is an ionselective polymer membrane. The best known of these flow batteries is the zinc/bromine battery (Fig. 14.9) that is being developed as a traction battery, and also as a stationary battery for loadlevelling duties. It employs an aqueous zinc bromide electrolyte in both the anode and cathode loops. The overall cell reaction is simply Zn + Br2 «=* ZnBr2, with an opencircuit voltage of 1.83 V at 25 C, typically falling to 1.3 V at an operating current density of 100 mA cm -2 . The separator membrane is selective for zinc cations. On charge, zinc is deposited on the carbon negative electrode and bromine is released at the positive electrode to form a polybromo complex with a quaternary ammonium salt that is dissolved in the aqueous ZnBr2 catholyte. This complex is an oily, insoluble liquid that separates from the ZnBr2 catholyte as it is pumped around the circuit and can be stored in an external reservoir until needed for recharging the battery. The battery is constructed on the 'plate and frame' pattern, familiar in fuel cells, and all
Storage of Electrical
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653 cathode loop
anode loop separator
Br2 active electrode
carbon plastic electrodes
& Zn deposit Electrochemical reactions: Figure 14.9
&
\
Br2 complex storage
Zn° <=* Zn 2+ + 2e-
E' = 0.76 V
Br2 + 2e- «=* 2 B r
£° = 1.07 V
Schematic of zinc/bromine circulating battery.
the components (frames, tanks, plumbing, etc.) are of lightweight plastic. This battery has been demonstrated to work well, although it does require periodic deep discharge to equalise the state of charge of both electrodes. There are still some development problems associated with reliability and longevity, but confidence is such that a production line for 22.5 kWh EV traction batteries has been built and many vehicle trials carried out (Fabjan, 1992). This battery seems worthy of careful evaluation for large-scale solar PV applications. In the early 1980s (Adams et al., 1981; Assink and Arnold, 1985), research was carried out on the zinc/ferricyanide battery for load-levelling applications and for the storage of solar PV or wind generated electricity. The discharge reactions are negative: positive:
Zn — • Zn 2+ + 2e~ Fe(CN) 6 3 " + e~ —> Fe(CN)64-
E° = 0.76 V £° = 0.36 V
giving a cell voltage of 1.1 V. This battery concept has not been pursued because ion transfer across the polymer separator leads to cross-contamination of the anolyte and catholyte. This problem is circumvented by designing a cell that has the same metallic species, in different valence states, in both electrode compartments. The vanadium redox battery, being developed in Australia specifically for solar PV applications (Menictas and Skyllas-Kasacos, 1997), operates on this principle. This is a similarly divided cell, using an ionically conducting membrane to separate the electrode compartments. The operation of the cell depends on the fact that vanadium has
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R. M. Dell
multiple soluble valence states, which may be oxidised/reduced at the electrodes. The half-cell reactions are negative: positive:
V 2+ <=» V 3+ + e~ V 5+ + e - «=» V 4+ charged discharged
and the overall cell reaction is 2VS0 4 + (V0 2 ) 2 S0 4 + 2H 2 S0 4 <=» V 2 (S0 4 ) 3 + 2VOS0 4 + 2H 2 0
£»=1.6V
There are four storage tanks external to the battery, two for the reactants in the charged state and two for the discharged state. The capacity of the battery is limited only by the size of the storage tanks. This redox battery has a low specific energy and energy density, but that may not be too serious for solar PV applications. A 12 kWh vanadium redox battery has been constructed at the University of New South Wales for use in a demonstration solar house in Thailand (Skyllas-Kasacos, 1994). The potential advantage of this battery over lead/acid lies in its indefinite cycle life, limited only by the materials of construction and not by the reactants in solution. Recently, a new type of redox battery based on the oxidation and reduction of anions, the Regenesys™ battery (www.regenesys.com), has been under development in the UK. This utilises a separator that is permeable to cations but not anions. During discharge, the negative electrode reaction involves the oxidation of S2~ ions in Na2S solution to sulphur, while the positive electrode reaction is the reduction of Br2 dissolved in NaBr solution to Br" ions. The open-circuit voltage is 1.57 V, and the operating voltage ~1—1.2 V. The battery, which is constructed on the bipolar electrode plate-and-frame principle, is being developed on a large scale for load levelling in the electrical supply industry.
14.5.7 Sodium batteries Sodium batteries have been under development for 30 years, principally as traction batteries for road vehicles. The interest in sodium as a negative electrode reactant stems from its high electronegativity (resulting in a high cell voltage), low mass, ready availability, low cost and non-toxic nature. Clearly, sodium has to be used with a non-aqueous electrolyte and the options are, in principle, an organic solution, a fused salt, a polymer or an ion-conducting ceramic. In practice, the latter option is invariably employed, using beta alumina (a sodium aluminium oxide ceramic material that has a high conductivity for sodium ions). This is shaped in the form of a close-
655
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ended ceramic tube that serves as the Na+ ion-conducting electrolyte. Sodium cells are operated at 200—400 C, well above the melting point of sodium metal (98 C). The molten sodium is contained either inside the ceramic tube, mounted vertically, or in a reservoir surrounding it, depending on the particular design of cell. The sodium/sulphur battery (Na/S) was invented in the USA in 1967 and has been researched in many countries since then. Its operating temperature is 300-400 C and the positive electrode is molten sulphur absorbed in a carbon felt matrix surrounding the beta alumina electrolyte tube and enclosed by a metal cell case. The overall cell discharge reactions are 2Na + 5S «=* Na 2 S 5 xNa + Na 2 S 5 «=* Na2S5_JC ( 0 < x < 2 )
E° = 2.076 V at 350 C E° = 2.076-1.78 V at 350 C
Hundreds of papers have been written on the design, mode of operation and performance of Na/S cells and batteries, as well as one specialist textbook (Sudworth and Tilley, 1985). Major development projects employing tens, or even hundreds, of staff were set up in Britain, Germany, USA and Japan, and some of these continued for more than twenty years. Formidable materials science and electrochemical problems were encountered. Nevertheless, many vehicle traction batteries were built and demonstrated, particularly in Britain and Germany. Japan has concentrated primarily on large, stationary Na/S batteries for storage in the electricity supply industry. At the end of the day, it has not yet proved possible to demonstrate convincingly batteries which are reliable, safe, long-lived and economic, and most of the development projects (with the possible exception of those in Japan) have now been terminated and the teams disbanded. Not too much consideration appears to have been given to the use of sodium/sulphur batteries in conjunction with renewable power sources, but this may be a pointless exercise if no supplier is available. In any event, the requirement for high-temperature batteries to be thermally self-sustaining sets a lower size limit of-10 kWh, which may rule out some small-scale applications. The sodium/metal chloride battery is a later derivative of the sodium/sulphur battery that was developed in South Africa and in Britain throughout the 1980s. Recognising that many problems of the sodium/sulphur battery stemmed from the sulphur electrode, particularly the intractable problems of corrosion and safety, the idea arose of replacing this volatile liquid with a solid positive reactant (NiCl2 or FeCl2), while retaining the essential features of the molten sodium anode and the beta alumina ceramic electrolyte. Because of the difficulty of making satisfactory electrical contact between two solids, a second, liquid electrolyte (molten NaAlCU) is employed between the solid cathode and the solid electrolyte (Fig. 14.10).
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R. M. Dell
0
LJ r—
© • NaAICU
Beta-alumina tube
Porous M, MCb electrode
Liquid sodium Cell case
Figure 14.10
Schematic of sodium/metal chloride cell.
The cell that has been developed (Dell and Bones, 1987; Tilley and Bull, 1987) has a metal chloride positive and is of the form: Na(liq) | 0-Al2O3(s) | NaAlCl4(liq) | MC12 (s) where M = Ni or Fe. It has a comparatively high voltage (2.59 V for NiCl2 and 2.35 V for FeCl2) and the overall cell reaction is MC12 + 2Na * = * M + 2NaCl charged discharged The Na/NiCl2 cell, which has fewer complications and has been more extensively investigated than the Na/FeCl2 cell, operates over a temperature range of 200—400 C. This battery has a number of important advantages over the sodium/sulphur battery: • • • • • •
a higher cell voltage (2.59 V vs. 2.08 V). a lower mean temperature of operation (300 C vs. 350 C). assembly in the discharged state, which obviates the need to handle liquid sodium. virtually no corrosion problems. no volatile constituents, making for a much safer cell. tolerance of over-charge and over-discharge (which is important in batteries).
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The battery has been developed principally for EV traction by a consortium based in Germany, Britain and South Africa. A pilot production line was established and numerous batteries of 17 kWh and 29 kWh size were built and tested, both in the laboratory and in electric vehicles (AEG Anglo Batteries, 1996, 1997). The Na/NiCl2 battery is a serious contender as an EV traction battery and is certainly worth evaluating as a possible battery for large-scale solar PV applications, although a major concern must be heat loss from a battery operating at high temperature. Using current insulation technology, heat is continuously lost from a 20 kWh battery at a rate of 100-200 W and this would have to be replaced electrically from the solar cells. Some of this heat loss is replaced automatically, when charging and discharging, as a result of the internal resistance of the battery. Sodium/metal chloride (ZEBRA) batteries have an exceptionally high coulombic efficiency (no side reactions) and a reasonable voltage efficiency. Their thermal loss may be seen as equivalent to coulombic inefficiency in other batteries, or frictional losses in a flywheel.
14.5.8 Lithium batteries Rechargeable lithium batteries that operate at ambient temperature and use an organic liquid electrolyte have been researched for a number of years. The attraction of lithium as a negative active material lies in its low atomic mass, which gives it a specific capacity value (Ah g -1 ) over three times that of sodium. Also, it has a higher electrochemical reduction potential, and hence an even higher specific energy content. Typically, the electrolyte employed in lithium cells is a solution of a lithium salt in a non-polar organic liquid; many combinations of salt and solvent have been investigated. Until about 1990, all cells that had been developed and semicommercialised used lithium metal foil as the negative active material. Lithium has a higher melting point (180 C) than sodium and is considerably easier to handle at room temperature. It is more readily fabricated as thin foil in a dry room, without the need for an inert gas blanket. Under these conditions the rate of corrosion is slow as the foil is protected from further oxidation by a thin surface film, composed largely of the nitride Li3N. This compound has a high ionic conductivity for Li + ions and so serves both as a protective film and as a thin solid-state electrolyte which is an extension of the organic electrolyte. Various transition metal compounds have been used as the positive active material, including TiS 2 NbSe3 and MoS2. As the Li + ion is small, it is readily 'intercalated' into these compounds on discharge, to form LiTiS2 etc., and 'de-intercalated' on charge, as the lithium is plated back on to the negative electrode. At first these lithium intercalation cells work well, but experience has shown that after
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R. M. Dell
repeated cycling they become unstable and prone to be hazardous. The problem is associated with the replating of the lithium on charge. There is a tendency for the deposited lithium to be finely divided with a 'moss-like' structure, and also for some of this lithium to become isolated from the negative electrode by a surrounding insulating layer. When a lithium dendrite forms and leads to an internal short circuit of the cell, the insulating layer is broken down and the finely divided metal reacts violently with the electrolyte, leading to a fire inside the cell and violent eruption of the cell contents. The problem, in essence, is that lithium metal is not thermodynamically stable with respect to the liquid organic electrolytes used and depends on its protective surface film to inhibit reaction. When this film breaks down after repeated cycling, an uncontrolled thermal reaction takes place. For these reasons, work on rechargeable lithium metal cells has largely been discontinued.
IJC0O2 LiNiQ, LiJVInjO.
Carbon (graphite, coke)
Electrolyte
Figure 14.I1
Schematic representation of the mode of operation of a lithium ion battery.
A significant break-through came in the early 1990s with the invention of the lithium ion battery by the Sony Corporation in Japan. This battery has no lithium metal in it. Rather, it was realised that an acceptable cell voltage could still be obtained if both the negative and the positive electrode contained intercalated lithium ions. The mode of operation of this cell is shown schematically in Fig. 14.11. During discharge, Li+ ions de-intercalate from the structure of the negative and intercalate into the structure of the positive, and this process is reversed on charge. The lithium ions 'rock' back and forth between the electrodes and hence this type of cell is sometimes referred to as a "rocking chair" cell.
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The host material used for the negative electrode is invariably some form of carbon, which can intercalate lithium up to the composition C ^ i . There are several possibilities for the positive electrode material. The original and best investigated (but also the most expensive) is LiCo0 2 and this is currently used by most manufacturers. Other possibilities are LiNi0 2 and Li;cMn204. Cell voltages are typically in the 4 V range, illustrating the substantial difference in free energy of lithium ions intercalated into carbon and into higher-valent metal oxides. Lithium ion cells are now being manufactured commercially for use in camcorders, laptop computers, portable telephones, etc., and the number of manufacturers and monthly production rate is increasing rapidly (especially in Japan). Sony has also demonstrated the potential for scaling up their C-Li/LiCo0 2 battery to much larger sizes by building a demonstration EV traction battery of 35 kWh size (Rand et al, 1998). The standard AA size C-Li/LiCo0 2 cell, as well as being expensive, does have a rather high selfdischarge rate (10-12% per month). The C-Li/LiNi0 2 cell, although less developed and less available, is superior in these respects. As regards specific capacity, a key parameter for portable applications, these cells show little improvement on Ni/MH^ and have only about half specific capacity of their lithium metal counterparts. Thus the outstanding initial performance of the lithium metal cells has been traded for enhanced safety and cycle life. Lithium ion cells do not seem to have been evaluated for solar PV applications yet, even though 2.9 kWh modules are now available from Sony. In view of an increasing number of manufacturers of lithium ion cells, and continuing research into new chemistries which is likely to lead to a whole family of cells of this type, they should certainly not be ignored as potential batteries for use with solar PV systems. Another type of lithium cell being researched is the lithium/polymer cell, which utilises a polymer electrolyte. Some polymers and polymer formulations are known which have a moderate conductivity for Li+ ions. These are mostly based on polyethylene oxide containing dissolved lithium salts. By solution casting of the polymers, it is possible to prepare very thin films suitable for use as electrolyte in cells. Generally such cells have to be operated at 80-120 C, at which temperature the ionic conductivity of the polymer is adequate, although it is possible to reduce this temperature range by dissolving suitable polar liquids in the electrolyte film. Much small-scale research has been conducted on these systems, often using the oxide V6Oi3 as the positive active material and thin lithium foil as the negative (Neat, 1991). These cells perform for a limited number of cycles, but generally lose their capacity quickly. As with the liquid-electrolyte lithium cells, this probably results from recharging problems involving the lithium metal. Efforts are now in progress to design a polymer electrolyte cell using lithium ion technology. In principle, these
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cells possess great potential as they may be made very thin and flexible, and may be configured in many ways. However, the understanding of their mode of action and breakdown is still limited and much remains to be done to perfect them, although some lithium/polymer cells are now coming into commercial production. The lithium analogue of the high-temperature sodium batteries does not exist, not least because lithium beta alumina is not a satisfactory Li+ ion conductor. Rather, a high-temperature lithium cell, the lithium/iron sulphide battery, is based on a fused inorganic halide electrolyte and uses an iron sulphide positive electrode. This battery has been extensively researched in the USA, Britain and Germany. The cell, which may be represented as LiAl(s) | LiX(liq) | FeS^(s) (where X is a mixed halide) operates at ~450 C. Although these investigations have been in progress for many years, the teams of scientists involved have been small, with little serious industrial backup. Demonstration batteries have been built, but by no means have all the technical problems been resolved, still less have plans for commercial production been made. It is conceivable that this battery could be employed in future in conjunction with very large solar arrays, but both are sufficiently far off as not to merit active consideration at present. Furthermore, the high temperature of operation makes the thermal loss problem considerably worse than with the sodium/nickel chloride battery.
14.5.9 Battery summary In the above sections, a very brief account has been given of the different types of battery that could be potentially used in conjunction with PV systems. In practice, these battery types are at various stages of development and most have significant failings as well as attractive features. Only two, lead/acid and nickel/cadmium, are commercially available today in sizes to match large PV installations and at prices that are likely to be acceptable. Others, which are commercially available in small sizes {e.g. nickel/metal hydride and lithium ion), could readily be scaled up if the demand existed, although their cost may be a deterrent. Some of the important parameters of the various battery types are summarised in Table 14.6. Although stored energy and peak power per unit mass are the most commonly cited numerical values for advanced batteries, these are not necessarily the most important criteria for batteries used in solar PV applications. Even more significant considerations are initial cost, overall electrical efficiency, reliability and freedom from maintenance, performance under fluctuating ambient temperatures, and effective life span under deep-discharge cycling.
Storage of Electrical Energy Table 14.6
661
Summary of battery characteristics Specific energyAVh kg"1
Peak powerAV kg"1
Lead/acid
35-50
150-400
widely used
Nickel/cadmium
40-60
80-150
commercially available
Nickel/iron
50-60
80-150
low efficiency
Nickel/zinc
70-100
170-260
short cycle life
Nickel/MH*
70-80
200-300
available in small sizes
100-220
30-80
mechanical recharge
Zinc/bromine
70-85
90-110
under development
Vanadium redox
20-30
110
solar house application
Sodium/sulphur
150-240
230
development almost ceased
Sodium/NiCl2
90-120
130-160
electric vehicle application
Lithium ion
80-130
200-300
available in small sizes
Battery
Zinc/air
Remarks
What are the prospects of further advances in battery technology? The theoretical limit to the specific energy of a battery is set by the free energy of the electrochemical reaction (which determines the cell voltage), the number of electrons transferred in the reaction and the mass of the electrodes. Generally, the theoretical cell energy, calculated in this way, is 3—5 times that practically achievable. The reason for this huge discrepancy is that the practical value has to take account of the mass of all the other cell components (electrolyte, separators, container, current collector plates, terminal posts, etc.) as well as the coulombic inefficiencies arising from side reactions, such as corrosion and self-discharge, and voltaic inefficiencies stemming from internal cell resistance and polarisation. Most of the inorganic electrochemical couples that are likely to be economically and commercially viable have now been investigated, with the possible exception of new lithium intercalation electrodes, and it seems unlikely that radically new electrochemical couples will emerge. However, there is still enormous scope for improving further the batteries we already have by means of advanced materials and better methods of construction and quality control. The qualitative targets are as set out above. Even the lead/acid battery, after 150 years history, is still being improved.
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14.6 Super- and ultra-capacitors (electrochemical capacitors) A conventional electrolytic capacitor stores charge in the form of electrons localised on its plates. Its stored energy density is very low, typically -0.05 Wh dm -3 . Supercapacitors differ from conventional capacitors in that the electrical charge is stored in the form of ions rather than electrons. High surface area electrodes, often formed from finely divided carbon compacted together, are used to adsorb the ions and to provide a much greater charge density than is possible with non-porous planar electrodes. The voltage is lower than for a conventional capacitor and the time constant for charge and discharge is longer, as ions move more slowly than electrons. In these respects the super-capacitor begins to take on some of the characteristics of a battery, although no faradaic reactions are involved in charge and discharge. The ultra-capacitor moves one step closer to a battery. It stores energy by virtue of both the ionic double-layer capacitance effect and surface redox processes that involve a change in valence state of the adsorbed ion. These are faradaic reactions that enhance the amount of stored energy, but which, because they are confined to the surface adsorbed layer, are fully reversible for many cycles. The electrolyte may be aqueous (sulphuric acid or potassium hydroxide) or an organic solution. Electrochemical capacitors with aqueous electrolytes have a very low resistance, but also a low breakdown voltage, while the converse is true for those with organic electrolytes. Table!4.7
Comparison of characteristics of energy storage devices Battery
Characteristic Stored energy/Wh dm-3 Peak power/W dm Discharge time Cycle life
-3
50-250
Electrolytic capacitor
Supercapacitor
0.05
0.1-5
1-10
8
5
>105
100-500
>10
hours
10-1000
>10
6
>10
seconds >10
5
Ultracapacitor
<1 min >105
Table 14.7 summarises the characteristics of the various energy storage devices. Electrolytic capacitors contrast with batteries in that they store very little energy, but they have long cycle lives and can produce high power output for very short periods. The contrast is so great that the applications for batteries and electrolytic capacitors are entirely different. Super-capacitors, and especially ultra-capacitors, are intermediate between batteries and electrolytic capacitors. Ultra-capacitors have a small, but significant, stored energy content, a high peak-power output for up to one minute and a long cycle life. This makes them ideal for meeting sudden transient power
663
Storage of Electrical Energy
demands, too great to be supplied by a battery. They are being developed and evaluated for many possible applications, including EV traction, where peak power demands are often of short duration, and are also attractive for absorbing the high power produced by the regenerative braking of EVs. Whether or not electrochemical capacitors might be used alongside batteries in solar PV applications has yet to be established, but clearly they would be of use only for "peaky" applications.
14.7 Conclusions The short-term storage of surplus photovoltaic electricity, produced during periods of high insolation for use during periods of low insolation or overnight, may be approached in several ways. The simplest, low technology approach is by means of a mini-pumped-hydro storage scheme. Surplus midday electricity would be used to pump water up to an elevated storage tank or small reservoir and electricity would be generated at night using a small hydroelectric generator. This approach would be better suited to steady than to fluctuating loads, unless a microprocessor controlled feedback loop could be introduced to adjust the rate of water flow and electricity generation to the varying load. However, it would require -50-100 m3 of pumped water (depending on the height of the tank) to store 1 kWh of electricity, and this would not be economic if a mechanical structure were required to support the storage tank. A better solution would be to store the water at the top of a small, natural hill— in effect, a mini-pumped-hydro scheme. The storage of electricity as kinetic energy in an advanced flywheel design has certain attractions, not least that it is comparatively insensitive to ambient temperature and can release energy at high power levels when required. With modern flywheel designs, frictional losses are not too serious and may be no worse than losses in electrochemical devices. Electricity storage by hydrogen in metal hydrides or carbon-based materials electrolysis
solar PV
> hydrogen
fuel cell
> hydride store
> hydrogen
> DC output
is possible in principle, but involves three separate units (electrolyser, hydride store and fuel cell) all integrated as regards control, and all capable of having reliability problems. Such integrated units are not commercially available at present, although they could undoubtedly be developed if the demand existed. This does not seem a likely option for the near future, but may be very relevant in the longer term, especially if large-scale solar PV installations are developed.
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By far the most likely near-term storage medium will be secondary batteries, in the first instance lead/acid and alkaline nickel batteries. Almost all existing solar PV installations employ lead/acid storage batteries and this may well remain the situation for some while yet. Lead/acid batteries have the advantage of being widely available, in several different types, at relatively low cost. However, the work of the Australian CSIRO laboratory on RAPS applications has shown how complex the situation really is and how the performance of lead/acid batteries is very variable, depending on the design chosen, the details of the manufacturing and assembly process, and the charge/discharge regime to which the battery is subjected. Work is continuing to define the specification for a long-life, low maintenance lead/acid battery when cycled under RAPS conditions. When this specification has been optimised, manufacturers will undoubtedly respond. Of the different types of alkaline nickel battery, only nickel/cadmium is both suitable and commercially available in appropriate sizes. It is considerably more expensive than lead/acid, although in some instances this extra cost may be justified in terms of longer life and less maintenance. Nickel/metal hydride batteries are fast replacing nickel/cadmium for many applications, although as yet they are mostly confined to small cell sizes. Larger batteries have been made experimentally and, if the demand were there, they could undoubtedly be manufactured. Ni/MH cells are even more expensive at present than Ni/Cd, suffer from having a relatively poor charge retention, and do not perform well at elevated temperatures—all serious considerations for solar PV applications. Technical and commercial developments need watching. Other aqueous electrolyte batteries that are under active development, but not yet commercially available, include nickel/zinc, zinc/bromine and vanadium redox. Potentially all these could be of interest for solar PV storage. The mechanically rechargeable "zinc/air battery" is, in fact, a fuel cell and does not store electricity directly. Whether or not it has any potential role in the solar scene is a matter of overall system economics. It is better regarded as a substitute for an auxiliary diesel generator. Of the high-temperature batteries, only the sodium/nickel chloride battery now shows real signs of being marketed for EV traction. This battery has many advantages, including that of being independent of ambient temperature. Whether or not it will prove to be of interest for solar PV storage depends on cost, on electrical efficiency and on whether the thermal losses can be reduced to an acceptable level. The most recent development in secondary batteries is the lithium ion battery, based on two intercalation electrodes. The C-Li/LiCo0 2 battery was commercialised very rapidly in the 1990s and is now widely available for consumer applications.
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Much remains to be done by way of research, particularly in terms of reducing the battery cost and its self-discharge rate and, if possible, making it less demanding of precise control of charge conditions. With so much world interest in the lithium ion battery, and with so many R&D programmes in progress, rapid developments are likely and this is a battery to be watched for possible solar PV use. A modification of this concept would be to replace the organic liquid electrolyte by an ion-conducting polymer and so produce the lithium ion/polymer battery. Finally, ultra-capacitors are also in the active research phase and hold potential for use in conjunction with batteries to meet short duration, peak power demands. Overall, it is evident that the field is wide open and there are many possible candidates for the storage of solar PV electricity. The development of new rechargeable batteries is notoriously protracted and costly and, unless the solar PV industry can justify this sort of investment for itself, it will ultimately have to depend on batteries that are developed and commercialised for other applications.
Acknowledgement This chapter was written in 1997. The author is most grateful to the editor, Dr Mary Archer, for her contribution in bringing it up-to-date, particularly with regard to the storage of hydrogen.
References Acres G. K. J. and Hards G. A. (1996), 'Electrocatalysts for fuel cells', Phil. Trans. Roy. Soc. 354, 1671-1680. Adams G. B., Hollandsworth R. P. and Littauer E. L. (1981), 'Rechargeable alkaline zinc/ferricyanide hybrid redox battery', Proc. 16th. Inter-Society Energy Conversion Eng. Conf., 812—816. AEG Anglo Batteries (1996), 'ZEBRA—providing high energy output', Electric and Hybrid Vehicle Technology '96, pp. 96-101. AEG Anglo Batteries (1997), 'ZEBRA power', Electric and Hybrid Vehicle Technology '97, pp. 113-118. Appleby A. J. (1996), 'Recent developments and applications of the polymer fuel cell', Phil. Trans. Roy. Soc. 354, 1681-1693.
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Assink R. A. and Arnold C. (1985), 'Development of membranes for the zinc/ferricyanide battery', Proc. 20th. Inter-Society Energy Conversion Eng. Conf., 2.105-2.110. Baldsing W. G. A., Hamilton, J. A., Hollenkamp A. F., Newnham R. H. and Rand D. A. J. (1991), 'Performance of lead/acid batteries in remote area power-supply applications', J. Power Sources 35, 385—394. Barnes R. G. (1988, ed.), Hydrogen Storage Materials, Trans Tech Publications, Aedermannsdorf, Switzerland. Berndt D. (1997), Maintenance-Free Batteries (2nd. ed.), Research Studies Press, Taunton. Bogdanovic B., Brand R. A., Marjanovic A., Schwickardi M.and ToelleJ. (2000), 'Metal-doped sodium aluminium hydrides as potential new hydrogen storage materials', J. Alloys and Compounds 302, 36-58. Buchner H. (1978), ' The hydrogen/hydride concept', Int. J. Hyd. Energy 3, 385-406. Chambers A., Park C , Baker R. T. K and Rodriguez N. M. (1998), 'Hydrogen storage in graphite nanofibers', J. Phys. Chem. B 102,4253^1256. Chen P., Wu X., Lin J. and Tan K. L. (1999), 'High H2 uptake by alkali-doped carbon nanotubes under ambient pressure and moderate temperatures', Science 285, 9 1 93. Cheng H. M., Li F., Su G., Pan H. Y., He L. L., Sun X. and Dresselhaus M. S. (1998), 'Large-scale and low-cost synthesis of single-walled carbon nanotubes by the catalytic pyrolysis of hydrocarbons', Appl. Phys. Lett. 72, 3282-3284. Cheng H. M., Liu C , Fan Y. Y., Li F., Su G., Cong H. T., He L. L., Liu M. (2000), 'Synthesis and hydrogen storage of carbon nanofibers and single-walled carbon nanotubes, Z. Metallkunde 91, 306-310. Cui N., He P. and Luo J. L. (1999), 'Synthesis and characterization of nanocrystalline magnesium-based hydrogen storage alloy electrode materials', Electrochim. Acta 44, 3549-3558. Dell R. M. and Bridger N. J. (1975), 'Hydrogen—the ultimate fuel', Appl. Energy 1, 279-292. Dell R. M. (1984), 'Hydrogen as an energy vector in the 21st. century', in Kalvoda R. and Parsons R. (1985, eds.), Electrochemistry in Research and Development, Plenum Press, New York & London, pp. 73—93. Dell R. M. and Bones R. J. (1987), 'The sodium/metal chloride battery', in Proc. 22nd. Inter-Society Energy Conversion Eng. Conf., Am. Inst. Aeronautics and Astronautics, Washington D.C., 1072-1077. Dell R. M. (1996), 'Aqueous electrolyte batteries', Phil. Trans. Roy. Soc. 354, 15151527.
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Deluchi M., Hydrogen Fuel-Cell Vehicles, Institute of Transportation Studies, University of California. Dillon A. C , Jones K. M., Bekkedahl T. A., Kiang C. H., Bethune D. S. and Heben M.J. (1997), 'Storage of hydrogen in single-walled carbon nanotubes', Nature 386, 377-379. Dresselhaus M. S., Williams K. A. and Eklund P. C. (1999), 'Hydrogen adsorption in carbon materials', MRS Bulletin, November 1999, pp. 45-50. Fabjan Ch. (1992), 'Austrians succeed with zinc/bromine', Batteries International 10, 80-81. Falk S. U. and Salkind A. J. (1969), Alkaline Storage Batteries, John Wiley, New York. Glendenning I. (1979), 'Advanced mechanical energy storage', in Beghi G. (1981, ed), Energy Storage and Transportation, Reidel Publishing Company, Dordrecht, pp. 49-87. Gordon P. A. and SeagerR. B. (1999), 'Molecular modelling of adsorptive energy storage: hydrogen storage in single-walled carbon nanotubes', Ind. Eng. Chem. Res. 38,4647^*655. Green A. (1994), 'Memory effect', Batteries International 19, 92. Gross K. J., Spatz P., Zuttel A. and Schlapbach L. (1997), J. Alloys and Compounds 261, 276-280. Grudkowski T. W. and PolleyE. C. (1995), 'Advanced flywheeel technology', Electric & Hybrid Vehicle Technology '95, UK & International Press, Dorking, pp. 138-143. Hamnett A. (1996), 'Fuel cells and their development', Phil. Trans. Roy. Soc. 354, 1653-1669. Hill M. R. H., Lumsden J., Markin T. L. and Smith D. N. E. (1988), 'Nickelhydrogen cells for satellite applications', Power Sources 12, Keily T. and Baxter B. W., eds., Int. Power Sources Symposium Committee, UK, pp. 379—391 Hollenkamp A. F., Baldsing W. G. A., Hamilton J. A. and Rand D.A.J. (1990), 'Advanced lead/acid batteries for stand-alone power-supply systems', J. Power Sources 31, 329-336. Holtz R. L. and Imam M. A. (1999), 'Hydrogen storage characteristics of ball-milled magnesium-nickel and magnesium-iron alloys', J. Mat. Sci. 34, 2655-2663. Iijima S. (1991), 'Helical microtubules of graphitic carbon', Nature 354, 56-58. Jensen C. M., Zidan R., Mariels N., Hee A. and Hagen C. (1999), 'Advanced titanium doping of sodium aluminium hydride: segue to a practical hydrogen storage material?', Int. J. Hyd. Energy 24, 461^165.
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Jensen J. Perram C. and Dell R. M. (1979), 'Batteries for solar electricity', Photovoltaic Solar Energy Conf. (Berlin), European Communications EUR 6376, 610-620. Lee S. M. and Lee Y. H., 'Hydrogen storage in single-walled carbon nanotubes', Appl. Phys. Lett. 76, 2877-2879. Liang G., Boily S., Huot J., van Neste A. and Schulz R. (1998), 'Hydrogen absorption properties of a mechanically milled Mg-50 wt.% LaNi5 composite', J. Alloys and Compounds 268, 302-307. Liang G., HuotJ., Boily S., van Neste A. and Schulz R. (1999), 'Hydrogen storage properties of nanocrystalline Mg1.9Tio.1Ni made by mechanical alloying', J. Alloys and Compounds 282,286-290. L i u C , FanY. Y., LiuM., CongH. T., Cheng H. M. and Dresselhaus M. S. (1999), 'Hydrogen storage in single-walled carbon nanotubes at room temperature', Science, 286, 1127-1129. McBreen J. (1984), 'Nickel/zinc', Ch. 5.3 in Power Sources for Electric Vehicles, McNichol B. D. and Rand D. A. J., eds., Elsevier Press, pp. 541—572. Markin T. L., Bridger N. J., Bennett R. and Dell R. M. (1978), 'LaNi,. electrodes in nickel/hydrogen batteries', 28th. Power Sources Symposium, Atlantic City, 136— 138. Markin T. L., Bennett R., Bridger N. J. and Dell R. M. (1981), 'A comparison of a low pressure and a high pressure nickel/hydrogen cell', in Power Sources 8, Thompson J., ed., Academic Press, New York, pp. 445—457. Markin T. L. and Dell R. M. (1981), 'Recent developments in nickel oxide/hydrogen batteries', J. Electroanal. Chem. 118, 217—228. Mayer M. G. and Rand D. A. J. (1997), 'Solar cars sprint across the outback—dream team wins first place', The Battery Man, pp. 16—31. MenictasC. and Skyllas-Kasacos M. (1997), 'The vanadium redox battery for emergency backup applications', Proc. 19th. Int. Telecoms. Energy Conf. INTELEC 97, IEEE Press, Piscataway, 463-471. Neat R. J. (1991), 'Lithium solid state batteries', in Modern Battery Technology, Tuck C. D. S., ed., Ellis Horwood, UK, pp. 528-543. Ojefors L. (1984) 'Nickel/iron', Ch. 5.2 in Power Sources for Electric Vehicles, McNichol B. D. and Rand D. A. J., eds., Elsevier Press, pp. 513-540. PedersonM. and Broughton J. Q. (1992), 'Nanocapillarity in fullerene tubes', Phys. Rev. Lett. 69, 2689-2692. Rand D. A J. and Baldsing W. G. A. (1988), 'Development of lead/acid batteries for domestic remote-area power supplies', J. Power Sources 23, 233-244.
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Rand D. A. J., Woods R. and Dell R. M. (1998), Batteries for Electric Vehicles, Research Studies Press Ltd., Taunton, UK. Rinzler A. G., Liu J., Dai H., Nikolaev P., Huffman C. B., Rodriguez-Macias F. J., BoulP. J., LuA. H., HeymannD., Colbert D. T., LeeR. S., Fischer J. E. Rao A.M. EklundP. C. and SmalleyR. E. (1998), 'Large-scale purification of single-wall carbon nanotubes: process, product, and characterization', Appl. Phys. A 67, 29-37. SegreG. (1981), 'Pumped hydropower storage', in Energy Storage and Transportation, Beghi G., ed., D. Reidel Publishing Company, Dordrecht, pp. 34—48. Seung M. L., Ki S. P., Young C. C , Young S. P., Jin M. B., Dong J. B., Kee S. N., Yong G. C , Soo C. Y., Kim N. G., Frauenheim T. and Young H. L. (2000), 'Hydrogen adsorption and storage in carbon nanotubes', Synthetic Metals 113, 209-216. Siemens Solar course on 'Photovoltaic Systems' (1996), Camarillo, California. Skyllas-Kasacos M. (1994), 'Status of the University of New South Wales vanadium redox battery development', 9th. Australasian Electrochemistry Conf, Wollogong, N.S.W., Australia. Steele B. C. H. (1996), 'Materials for high-temperature fuel cells', Phil. Trans. Roy. Soc. 354, 1695-1710. Strickland G., Reilly J.J. and Wiswall R. H. (1974), 'An engineering-scale energy storage reservoir of FeTi hydride', The Hydrogen Economy (THEME) Conference, Miami, Florida, Paper S4—10. Sudworth J. L. and Tilley A. R. (1985), The Sodium Sulphur Battery, Chapman & Hall, London. Tilley A. R. and Bull R. N. (1987), 'The design and performance of various types of sodium/metal chloride batteries', Proc. 22nd. Inter-Society Energy Conversion Eng. Conf, Am. Inst. Aeronautics and Astronautics, Washington D.C., 1078— 1084. Van der Broek H. (1993), 'Research, development and demonstration of alkaline fuel cell systems', Chapter 7 in Fuel Cell Systems, Blomen L. J. M. J. and Mugerwa M. N., eds., Plenum Press, New York, pp. 245-268. Vincent C. A. (1997), Modern Batteries: An Introduction to Electrochemical Power Sources, 2nd. ed., Edward Arnold, London. Wendt H., Brenscheidt T. and Fischer A., 'Optimization and modelling of fuel cell electrodes with emphasis upon catalyst utilisation', Phil. Trans. Roy. Soc. 354, 1627-1641. Wu X. B., Chen P., Lin J. and Tan K. L. (1999), 'Hydrogen uptake by carbon nanotubes', Int. J. Hyd. Energy 25, 261-265.
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Yang J., CiureanuM. and RobergeR. (1999), 'Preparation and hydrogen storage properties of Mg^Nij (x = 0-45 wt%) composites', /. Alloys and Compounds 287,251-255. Ye Y., Ahn C. C , Witham C , Fultz B., Liu J., Rinzler A. G., Colbert D., Smith K. A. and SmalleyR. E. (1999), 'Hydrogen adsorption and cohesive energy of singlewalled carbon nanotubes', Appl. Phys. Lett. 74, 2307-2309. Zaluska A., Zaluski L. and Strom-Olsen J. O. (1999), 'Nanocrystalline magnesium for hydrogen storage', J. Alloys and Compounds 288, 217-225. Zaluska A., Zaluski L. and StrQm-Olsen J. O. (2000), 'Sodium alanates for reversible hydrogen storage', J. Alloys and Compounds 306, 235-244. Zaluski L., ZaluskaA. and Strom-Olsen J. O. (1999), 'Hydrogenation properties of complex alkali metal hydrides fabricated by mechano-chemical synthesis, J. Alloys and Compounds 290, 71-78.
CHAPTER 15
PHOTOVOLTAIC MODULES, SYSTEMS AND APPLICATIONS NICOLA M. PEARSALL and ROBERT HILL Northumbria Photovoltaics Applications Centre University of Northumbria at Newcastle e-mail: nicola.pearsall @ unn. ac. uk
The best way to predict the future is to invent it. Alan Kay, Apple Computers.
15.1 Introduction The electricity from photovoltaic cells can be used for a wide range of applications, from power supplies for small consumer products to large power stations feeding electricity into the grid. Previous chapters in this book have discussed the different cell technologies and the optimisation of cell structures to achieve high efficiency of conversion from light to electricity. In this chapter, we will address the aspects that allow us to take those photovoltaic cells and incorporate them into a system delivering a required service. The chapter concentrates on the use of the most common types of photovoltaic cells, described mainly in Chapters 3-7, and on typical system applications including both stand-alone and grid-connected options. System issues for space cells have already been discussed in Chapter 13 and will not be reconsidered here since they differ substantially from those for terrestrial systems. This is also true of designs for thermophotovoltaic systems, which are considered in Chapter 11. Finally, although some aspects of concentrator systems will be included, readers are referred to Chapter 12 for a fuller discussion of the issues involved in the design of PV systems incorporating high concentration. In the next section, the construction and performance of photovoltaic modules will be discussed. The individual solar cells must be connected to provide an appropriate electrical output and then encapsulated so as to protect the cells from environmental damage, particularly from moisture. The design of the module depends on the 671
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application for which it is to be used and an expansion of those applications in recent years has led to a range of alternative module designs, including the use of coloured cells, variable transparency and different electrical configurations. The section will discuss the variation in module design and their suitability in different scenarios. Finally, module testing including the establishment of rated output and long-term performance will be discussed. In Section 15.3, the design of PV arrays will be considered, including electrical configuration, optimum tilt angle and orientation, protection from shading and mounting aspects. The variation in performance expected from different array configurations will be discussed. The next section (15.4) will deal with the whole PV system, commencing with the rest of the system components, usually referred to as the balance of systems (BOS) equipment. The BOS portion of the system differs substantially according to the application and use of the electricity produced by the PV array. This section will discuss the requirements of equipment to be included in a PV system, testing and standardisation, issues of power conditioning and sizing of the PV system to meet the required application. Both stand-alone and grid-connected systems will be considered. Finally, the widespread adoption of a PV system to provide any given service is dependent upon its economic viability in comparison with alternative supplies. Section 15.5 will consider the issues involved in determining the cost of electricity from a PV system, look at the viability of the system for certain applications and make some projections for the economic future of PV systems.
15.2 Photovoltaic modules In order to provide useful power for any application, the individual solar cells described in previous chapters must be connected together to give the appropriate current and voltage levels and they must also be protected from damage by the environment in which they operate. This electrically connected, environmentally protected unit is usually termed a photovoltaic module, although it can also be termed a PV laminate when it is supplied without a frame. Figures 15.1a and b show typical module constructions for crystalline silicon and thin film silicon cells respectively. The module is then used alone or connected in an electrical circuit with other similar modules to form a photovoltaic array. The design and performance of PV arrays will be discussed in Section 15.3.
Photovoltaic
Modules, Systems and Applications
673
(a)
] Glass ]
Encapsulant
]
Tedlar
(b)
Glass superstrate HH
•
Metal back contact „ , , _ , Note: layers are not Solar cell structure drawn to scale ] Transparent front contact
Figure 15.1 a) Schematic of module construction for crystalline silicon cells—exploded view showing the different layers which make up the module; b) schematic of module construction for thin film cells.
Due to the difference in fabrication process, module designs for crystalline and thin film cells, whilst following the same basic principles, differ substantially in several aspects of module construction and design. Indeed, it could be said that the thin film cells are fabricated in modular form, requiring only the encapsulation step after completion of the deposition processes. For simplicity, the crystalline silicon solar cell will be considered initially in each sub-section, since it is presently the most common cell type for power applications. Variations introduced by the use of thin film cells will then be identified.
N. M. Pearsall and R. Hill
674 15.2.1 Electrical connection of the cells
The electrical output of a single cell is dependent on the design of the device and the semiconductor material(s) chosen, but is usually insufficient for most applications. In order to provide the appropriate quantity of electrical power, a number of cells must be electrically connected. There are two basic connection methods: series connection, in which the top contact of each cell is connected to the back contact of the next cell in the sequence, and parallel connection, in which all the top contacts are connected together, as are all the bottom contacts. In both cases, this results in just two electrical connection points for the group of cells. Series connection Figure 15.2 shows the series connection of three individual cells as an example and the resultant group of connected cells is commonly referred to as a series string. The current output of the string is equivalent to the current of a single cell, but the voltage output is increased, being an addition of the voltages from all the cells in the string (i.e. in this case, the voltage output is equal to 3Vceii).
j
Current = / „ * L Voltage = 3 x Vce» r Voltage
3XIC
— Single cell — 3 cells in series o
Figure 15.2
Series connection of cells, with resulting current-voltage characteristic.
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Modules, Systems and
Applications
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It is important to have well matched cells in the series string, particularly with respect to current. If one cell produces a significantly lower current than the other cells (under the same illumination conditions), then the string will operate at that lower current level and the remaining cells will not be operating at their maximum power points. This could also happen in the case of partial shading of a string and the effect of this is discussed more fully in Sections 15.3.1 and 15.3.5. Parallel connection Figure 15.3 shows the parallel connection of three individual cells as an example. In this case, the current from the cell group is equivalent to the addition of the current from each cell (in this case, 3 /con), but the voltage remains equivalent to that of a single cell.
1
Current = 3 x /„ Voltage = K<*
J Voltage
—
Single cell 3 cells in parallel
<3 3x/.„ Figure 153
Parallel connection of cells, with resulting current-voltage characteristic.
As before, it is important to have the cells well matched in order to gain maximum output, but this time the voltage is the important parameter since all cells must be at the same operating voltage. If the voltage at the maximum power point is substantially different for one of the cells, then this will force all the cells to operate off their maximum power point, with the poorer cell being pushed towards its open-circuit
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A'. M. Pearsall and R. Hill
voltage value and the better cells to voltages below the maximum power point voltage. In all cases, the power level will be reduced below the optimum. Typical module configurations The electrical connections within a module can be arranged in any desired combination of series and parallel connections, remembering the importance of the matching of the units in any series or parallel string. This means, for example, that parallel connection of series strings should be made using similar strings with the same number and type of cells. The series/parallel configuration will determine the current and voltage values obtained from the module under given illumination and load conditions. The majority of modules produced in the early 1980s, when the development of module fabrication techniques for crystalline silicon cells reached maturity, were for use in stand-alone applications for the charging of batteries. Thus, the electrical output was required to be appropriate for battery charging under a range of sunlight conditions and this was found to be most readily achieved by the series connection of 34-36 crystalline silicon cells. The series connection of these cells produces an opencircuit voltage of around 18 V (depending on the detail of the cell design) and a maximum power point voltage of around 14-15 V. This provides a voltage above the 12 V required for battery charging over a wide range of sunlight conditions. When arranged in three or four rows and with the minimum spacing between cells, the module area is around 0.3 m2 and the module is also suitable for transportation and light enough to be lifted by one or two people for ease of installation. Thus, this design was adopted for most modules of about 10 W or above. In the case of the thin film module, the same design principle was adopted when battery charging was required. This was accomplished by the series connection of the cells during fabrication. Since the voltage from the amorphous silicon cell is higher than that from a crystalline silicon device, fewer series-connected cells are required to maintain sufficient voltage to charge the battery. However, the cells must be of larger area in order to reach similar current levels. More recently, larger modules have begun to be produced for building integrated systems and many more cells are incorporated in each module. In these cases, it is possible to have a number of series and parallel connected circuits in the same module. In some designs, there can even be more than two terminals with the electrical output from different areas of the module being extracted via different circuits.
Photovoltaic
Modules, Systems and
677
Applications
Module l-V characteristic In previous chapters, the l-V characteristic of the photovoltaic cell has been described. The module l-V characteristic is of a similar shape and can be described by the same equation, where now the parameters of reverse saturation current, diode factor, series and shunt resistances refer to the whole module and are dependent on the type, number and electrical connection method of the cells. The characteristic is described by the same parameters of open-circuit voltage, short-circuit current, fill factor and maximum power point, where these values now refer to the module rather than the individual cells. Figure 15.4 shows an l-V characteristic together with the power curve, to illustrate the position of the maximum power point. Owing to mismatch between the characteristics of the component cells and to an increased overall series resistance, the module will typically have a reduced fill factor as compared to its constituent cells. Whilst the open-circuit voltage of the module becomes the sum of the voltages from each cell, the module short-circuit current is equivalent to the lowest cell short circuit current (assuming the configuration of all series-connected cells). As discussed previously, if the cells differ significantly in current output, the efficiency of the module can be substantially lower than that of the cells from which it is produced. .1.:.
S~*
4
50
/ ^ \
3.8
50
3
:
< 1 " I 2
40 1 1
o
1
0.5 0
l
\— Current-vollage curve | — Power curve
1.5 1
)
S
I ..i ...... 10 15 Vollage (V)
\ 20
J
1 o 30 -g 20 10
0 25
Figure 15.4 Typical l-V characteristic of a crystalline silicon module with the variation of power with voltage also shown. This illustrates the position of the maximum power point. Module
rating and
efficiency
As with the individual cells, the module output varies with illumination and temperature conditions and therefore these must be defined when considering the power
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rating of the module. Module testing uses the same Standard Test Conditions (STC) as are used for the measurement of cells, these being a light intensity equivalent to 1 kW m~ , a spectral content corresponding to a standard AM 1.5 global spectrum and an operating temperature of 25 C. The test conditions are fully defined in the International Electrotechnical Commission standard number 60904 (IEC, 1987). In the ideal case, the module rating would simply be the sum of the rating of the individual cells but there are, of course, additional losses that must be taken into account. The most important is the mismatch between the cells, whereby differences in performance will mean that the maximum power point operation of the module as a whole does not coincide with the maximum power point operation of some or all of the cells in the module. The mismatch losses can vary depending upon the operating conditions and whether differences in cell performance are light- or temperatureinduced. Where possible, for example for crystalline silicon cells, manufacturers usually batch sort their cells by performance and use cells from the same batch to construct the modules. In this way, mismatch losses are minimised. The module efficiency is related to the total area of the module in the same way that the efficiency of a cell is related to the total area of the cell. Because it is necessary to have the cells physically separated, the module area is always larger than the sum of the cell areas and therefore the module efficiency is always lower than the cell efficiency. The amount of reduction due to area effects depends on the configuration of the module and is defined by the packing density (ratio of cell area to module area). The packing density is clearly lower for the circular silicon cells produced during the 1970s than for the current pseudo-square cells and this is one of the reasons for increased efficiency in modern modules. Typically, a crystalline silicon module will have a packing density in the range 80-90% and so, if it uses 14% efficient cells, the module efficiency would be around 12%. For thin film cells, the reduction in efficiency is much lower because the strip cells are only separated by the contact strip. More important in this case is the mismatch between cell performances since it is not possible to sort and select the cells as for the crystalline devices. Since the mismatch arises from variations in the production process across the surface of the module, it is important to control the uniformity of all processes. The performance of the module is also a function of its operating temperature and hence the rated efficiency is quoted at a standard temperature of 25 C. The module voltage reduces with increasing temperature and, although the current increases slightly, the overall effect is for the efficiency to reduce as the temperature rises. The amount of the change depends on the cell type and structure, with crystalline silicon cells typically losing about 0.4-0.5% of their output per degree Celsius rise. Higher
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band-gap cells, have a lower temperature coefficient, for example, thin film silicon reduces by about 0.2% per degree Celsius because of the change in voltage. However, thin film silicon modules also exhibit a thermal dependence due to annealing of the light-induced degradation and this acts in the opposite direction. So, their overall temperature coefficient can be zero or even slightly positive over some temperature ranges. This varies with cell structure and operating conditions. The operating temperature varies as a function of the climatic conditions of ambient temperature and incident sunlight and also depends on the module design and the module mounting. Both these latter factors affect the ability of the module to lose heat and hence determine the operating temperature under given climatic conditions. A measure of the effect of module design is given by the Nominal Operating Cell Temperature (NOCT) of the module, which is measured under defined sunlight, temperature and wind conditions for an open mounting structure.
15.2.2
Module structure
The structure of the PV module is dictated by several requirements. These include the electrical output (which determines the number of cells incorporated and the electrical connections), the transfer of as much light as possible to the cells, the cell temperature (which should be kept as low as possible) and the protection of the cells from exposure to the environment. The electrical connections have already been discussed, so this section will concentrate on the physical protection from the environment and the maintenance of cell operating conditions. Figures 15.5 and 15.6 show typical PV modules. In modern crystalline silicon modules, the front surface is almost always composed of glass, toughened to provide physical strength and with a low iron content to allow transmission of short wavelengths in the solar spectrum. The rear of the module can be made from a number of materials. One of the most common is Tedlar (see Fig. 15.1), although other plastic materials can also be used. If a level of transparency is required, then it is possible to use either a translucent Tedlar sheet or more commonly a second sheet of glass. The glass-glass structure is popular for architectural applications, especially for incorporation into a glazed facade or roof. The glass-Tedlar module is usually fabricated by a lamination technique. The electrically connected cells are sandwiched between two sheets of encapsulant, for example EVA (ethylene vinyl acetate), and positioned on the glass sheet which will form the front surface of the module. The rear plastic sheet is then added and the whole structure is placed in the laminator. Air is removed and then reintroduced above
N.M.
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PearsallandR.Hill
Figure 15.5
Typical crystalline silicon module and cell (photograph courtesy of BP Solarcx).
Figure 15.6
Typical thin film silicon module (photograph courtesy of Intersolar Group).
a flexible sealing membrane above the module to provide pressure. The module is heated and the encapsulant melts and surrounds the cells. Additional encapsulant material is included at the module perimeter to ensure complete sealing of the module edges.
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The glass-glass construction is more time and labour intensive, since the removal of air must be accomplished without the aid of lamination. Both film and liquid encapsulants can be used. In the case of the liquid encapsulant, this is poured between the glass sheets after the module has been sealed on three edges. The connected cells must be fixed in place before this procedure is undertaken. In the thin film module, the glass substrate on which the cell is deposited is often used as the front surface of the finished module. Lamination is then carried out in the same way as for crystalline modules although only a single layer of encapsulant is required. Lower temperatures are often used to avoid damage to the cells. Particular care must be taken with edge sealing since all thin film cells are badly affected by the ingress of moisture. In the manufacturing process, a clear gap must be left around the edge of the cell area for proper sealing of the module. The electrical connections to the module are made via a junction box, usually fixed to the rear of the module, or by flying leads. These typically exit the module through the rear Tedlar sheet. In the case of glass-glass modules, the leads may exit through one edge of the module to avoid drilling holes in the glass sheet. The points at which the electrical connections are brought out of the module are sealed to prevent moisture ingress. The module will exhibit the highest efficiency when the maximum amount of the light falling on the module is incident upon the cells. Light which is incident on the spaces between cells or at the module edge is either reflected or converted to heat. Since the 1970s, cell shape and spacing has been altered to produce more densely packed modules and hence increase efficiency. Most power modules use the minimum cell spacing, which is accepted to be 2-3 mm between the cell edges. This gap is to prevent any problems with electrical shorting between cells. The most common shape of monocrystalline silicon cell is pseudo-square, where the cell is cut from a circular wafer and is square apart from the cut-off corners (see Fig. 15.5). Polycrystalline silicon cells are often truly square, depending on the manufacturing technique of the material. Thin film cells are deposited in strips, usually of around 1 cm in width and running the length of the module, although dimensions can vary depending on cell properties. In operation, the module is often at a temperature in the region of 50-80 C when operating in good sunlight conditions and for an ambient temperature of 25-30 C. Whilst these operating temperatures are not excessive, the difference in thermal expansion of the various components must be taken into account. Also, allowance must be made for the higher temperatures experienced during manufacture, albeit for a much shorter time. The cell stringing allows for some differential expansion in the length of ribbon between each cell. The electrical connection is also made in two
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places on each cell (often referred to as double tabbing) to allow for any problems with thermal expansion and other stresses during manufacture or operation. This is shown schematically in Figs. 15.2 and 15.3. The ideal module would also provide good heat transfer in order to keep the cell temperature as low as possible. However, the encapsulant is required to provide electrical isolation and physical protection, so a high heat transfer coefficient is not always possible. The operating temperature is also influenced by the exterior materials of the module, with glass-glass structures usually running at a higher temperature than the glass-Tedlar module under similar conditions. The colour of the rear Tedlar film also has some influence. For example, a module with a white Tedlar backing will reject more heat than one with a black Tedlar backing, so allowing it to operate at higher efficiency. The module is often provided with a metal frame in order to make it straightforward to fix to a support structure, although this is less usual for building integrated applications.
15.2.3
Variations in module design
Module design varies according to the electrical output required and the application of the PV system. Considerable variation in size, shape, colour and cell spacing has been introduced in recent years to accommodate the consumer market, especially where the modules are incorporated directly into the product, and the building integration market, where appearance is of particular importance. It has also been possible to design modules which have additional functions, such as the semi-transparent modules that can be used as shading devices and to influence light patterns inside buildings. The choices available are mainly in terms of power rating, size and shape of cell, colour of cells and/or backing sheets, level of transparency, cell spacing and size and shape of module. Since production volumes are lower, non-standard features tend to increase the module cost. The colour of the crystalline silicon cell is altered by variation of the thickness of the anti-reflection coating on the top surface of the cell. This can dictate the wavelength of light which is predominantly reflected from the cell and hence its colour. Of course, light which is reflected cannot contribute to the generation of electricity and so the cell efficiency is reduced in comparison to the traditional cell. The output is reduced by between 10 and 25% compared with the usual dark blue cell, depending on the cell colour chosen (Mason et al, 1995).
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For thin film modules, the cell colour cannot be changed since there is no antireflection coating. To alter the transparency of the modules, the semiconductor film is thinned to allow some light to be transmitted through the cell whilst the rear contacts and the backing sheet are transparent. Again, efficiency is reduced owing to the lower absorption of light. Thin film cells can also be made on flexible substrates, such as metal or plastic sheets, for use in consumer products or for roofing. The choice of module structure and design is very dependent on the application in question with output, appearance, cost, compatibility with other components and durability being the issues to consider.
15.2.4 Module testing The electrical output of the module is tested under Standard Testing Conditions as described earlier. The measurement under STC provides the module rating in peak watts (Wp) and defines the module efficiency. The testing method requires control of module temperature, light spectrum and illumination uniformity. It is also important to assess the effectiveness of the module construction in protecting the cells from the environment, since this determines the lifetime of the module in operation. Again, testing conditions have been defined for accelerated life testing. These include thermal cycling, hail impact, humidity-freeze, mechanical twist and electrical isolation tests and are detailed in IEC standard 61215 for crystalline silicon modules (IEC, 1993). Whether a module meets the standard is determined by setting maximum limits for change in output and visual faults after each test. For thin film silicon modules, the output reduces during the initial weeks of operation and so the accelerated life testing should be carried out after the module output has stabilised. The IEC standard 61646 sets out the requirements for the pre-test stabilisation, the environmental tests and the limits of change of performance (IEC, 1996).
15.3 The photovoltaic array A PV array consists of a number of PV modules, mounted in the same plane and electrically connected to give the required electrical output for the application. The PV array can be of any size from a few hundred watts to hundreds of kilowatts, although the larger systems are often divided into several electrically independent subarrays each feeding into their own power conditioning system.
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15.3.1 Electrical connection of modules As with the connection of cells to form modules, a number of modules can be connected in a series string to increase the voltage level, in parallel to increase the current level or in a combination of the two. The exact configuration depends on the current and voltage requirements of the load circuitry fed by the system output. Matching of interconnected modules in respect of their outputs can maximise the efficiency of the array, in the same way as matching cell output maximises the module efficiency. If there is one shaded module in a series-connected string of modules, it can then act as a load to the string in the same way as a shaded cell does in an individual module. As with the cell, damage can occur due to heating by the current flowing through the module. The severity of the problem varies according to the number of modules in the string (and hence the potential power drop across the module) and the likelihood of partial shading of the string (which depends on system design and location). Where the shading situation may cause damage to the module, bypass diodes can be included. The bypass diode is connected in parallel with the module and, in the case of the module being shaded, current flows through the diode rather than through the module. This use of bypass diodes adds some expense and reduces the output of the string by a small amount, owing to the voltage that is dropped across the diode. For some large modules, the bypass diodes are incorporated into the module structure itself at the manufacturing stage and several diodes may be used, each protecting different sections of the module. This integration reduces the need for extra wiring, although it makes it difficult to replace the diode in the case of failure. The use of bypass diodes should be decided on a system-by-system basis depending on the likelihood of partial shading of a string and the power level of the string. In systems where shading may reduce the output of one of the strings substantially below that of the others, it can also be advantageous to include a blocking diode connected in series with each string. This prevents the current from the remainder of the array being fed through the shaded string and causing damage. The use of blocking or bypass diodes reduces the output of the system slightly but does provide protection. The choice of whether to use blocking or bypass diodes depends on the design of the system and the need for protection from shading or other aspects.
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15.3.2 Mounting structure The main purpose of the mounting structure is to hold the modules in the required position without undue stress. The structure may also provide a route for the electrical wiring and may be free standing or part of another structure {e.g. a building). At its simplest, the mounting structure is a metal framework, securely fixed into the ground. It must be capable of withstanding appropriate environmental stresses, such as wind loading, for the location. As well as the mechanical issues, the mounting has an influence on the operating temperature of the system, depending on how easily heat can be dissipated by the module.
15.3.3 Tilt angle and orientation The orientation of the module with respect to the direction of the Sun determines the intensity of the sunlight falling on the module surface. Two main parameters are defined to describe this. The first is the tilt angle, which is the angle between the plane of the module and the horizontal. The second parameter is the azimuth angle, which is the angle between the plane of the module and due south (or sometimes due north depending on the definition used). Correction of the direct normal irradiance to that on any surface can be determined using the cosine of the angle between the normal to the Sun and the module plane. The optimum array orientation will depend on the latitude of the site, prevailing weather conditions and the loads to be met. It is generally accepted that, for low latitudes, the maximum annual output is obtained when the array tilt angle is roughly equal to the latitude angle and the array faces due south (in the northern hemisphere) or due north (for the southern hemisphere). For higher latitudes, such as those in northern Europe, the maximum output is usually obtained for tilt angles of approximately the latitude angle minus 10-15 degrees. The optimum tilt angle is also affected by the proportion of diffuse radiation in the sunlight, since diffuse light is only weakly directional. Therefore, for locations with a high proportion of diffuse sunlight, the effect of tilt angle is reduced. However, although this condition will give the maximum output over the year, there can be considerable variation in output with season. This is particularly true in high-latitude locations where the day length varies significantly between summer and winter. Therefore, if a constant or reasonably constant load is to be met or, particularly, if the winter load is higher than the summer load, then the best tilt angle may be higher in order to boost winter output.
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Prevailing weather conditions can influence the optimisation of the array orientation if they affect the sunlight levels available at certain times of the day. Alternatively, the load to be met may also vary during the day and the array can be designed to match the output with this variable demand by varying the azimuth angle. Notwithstanding the ability to tailor the output profile by altering the tilt and azimuth angles, the overall array performance does not vary substantially for small differences in array orientation. Figure 15.7 shows the percentage variation in annual insolation levels for the location of London as tilt angle is varied between 0 and 90 degrees and azimuth angle is varied between -45° (south east) and +45° (south west). The maximum insolation level is obtained for a south-facing surface at a tilt angle of about 35 degrees, as would be expected for a latitude of about 51°N. However, the insolation level varies by less than 10% with changing azimuth angle at this tilt angle. A similarly low variation is observed for south facing surfaces for a variation of +/- 30 degrees from the optimum tilt angle.
Figure 15.7 Percentage variation of annual sunlight levels as a function of tilt angle and azimuth angle. The calculations were carried out for the location of London using Meteonorm Version 3.0.
The final aspect to consider when deciding on array orientation is the incorporation in the support structure. For building-integrated applications, the system orientation is also dictated by the nature of the roof or facade in which it is to be
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incorporated. It may be necessary to trade off the additional output from the optimum orientation against any additional costs that might be incurred to accomplish this. The aesthetic issues must also be considered.
15.3.4 Sun-tracking/concentrator systems The previous section has assumed a fixed array with no change of orientation during operation. This is the usual configuration for a flat-plate array. However, some arrays are designed to track the path of the Sun. This can account fully for the sun's movements by tracking in two axes or can account partially by tracking only in one axis, from east to west. For a flat-plate array, single-axis tracking, where the array follows the east-west movement of the Sun, has been shown to increase the output by up to 30% for a location with predominantly clear sky conditions. Two-axis tracking, where the array follows both the daily east-west and north-south movement of the sun, could provide a further increase of about 20% (Lepley, 1990). For locations where there are frequent overcast conditions, such as northern Europe, the benefits of tracking are considerably less. It is usually more economical to install a larger panel for locations with less than about 3000 hours of direct sunshine per annum. For each case, the additional output from the system must be compared to the additional cost of including the tracking system, which includes both the control system and the mechanism for moving the array. For concentrator systems, such as those described in Chapter 12, the system must track the Sun to maintain the concentrated light falling on the cell. The accuracy of tracking, and hence the cost of the tracking system, increases as the concentration ratio increases.
15.3.5 Shading Shading of any part of the array will reduce its output, but this reduction will vary in magnitude depending on the electrical configuration of the array (see Section 15.2.1.5). Clearly, the output of any cell or module which is shaded will be reduced according to the reduction of light intensity falling on it. However, if this shaded cell or module is electrically connected to other cells and modules which are unshaded, their performance may also be reduced since this is essentially a mismatch situation.
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For example, if a single module of a series string is partially shaded, its current output will be reduced and this will then dictate the operating point of the whole string. If several modules are shaded, the string voltage may be reduced to the point where the open-circuit voltage of that string is below the operating point of the rest of the array, and then that string will not contribute to the array output. If this is likely to occur, it is often useful to include a blocking diode for string protection, as discussed earlier. Thus, the reduction in output from shading of an array can be significantly greater than the reduction in illuminated area, since it results from • • •
the loss of output from shaded cells and modules; the loss of output from illuminated modules in any severely shaded strings that cannot maintain operating voltage; and the loss of output from the remainder of the array because the strings are not operating at their individual maximum power points.
For some systems, such as those in a city environment, it may be impossible to avoid all shading without severely restricting the size of the array and hence losing output at other times. In these cases, good system design, including the optimum interconnection of modules, the use of string or module inverters and, where appropriate, the use of protection devices such as blocking diodes, can minimise the reduction in system output for the most prevalent shading conditions.
15.4 The photovoltaic system A PV system consists of a number of interconnected components designed to accomplish a desired task, which may be to feed electricity into the main distribution grid, to pump water from a well, to power a small calculator or one of many more possible uses of solar-generated electricity. The design of the system depends on the task it must perform and the location and other site conditions under which it must operate. This section will consider the components of a PV system, variations in design according to the purpose of the system, system sizing and aspects of system operation and maintenance.
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15.4.1 System design There are two main system configurations - stand-alone and grid-connected. As its name implies, the stand-alone PV system operates independently of any other power supply and it usually supplies electricity to a dedicated load or loads. It may include a storage facility (e.g. battery bank) to allow electricity to be provided during the night or at times of poor sunlight levels. Stand-alone systems are also often referred to as autonomous systems since their operation is independent of other power sources. By contrast, the grid-connected PV system operates in parallel with the conventional electricity distribution system. It can be used to feed electricity into the grid distribution system or to power loads which can also be fed from the grid. It is also possible to add one or more alternative power supplies {e.g. diesel generator, wind turbine) to the system to meet some of the load requirements. These systems are then known as 'hybrid' systems. Hybrid systems can be used in both stand-alone and grid-connected applications but are more common in the former because, provided the power supplies have been chosen to be complementary, they allow reduction of the storage requirement without increased loss of load probability, as discussed in Section 15.4.7. Figures 15.8-15.10 show schematic diagrams of the three main system types.
15.4.2 System components The main system components are the photovoltaic array (which includes modules, wiring and mounting structure), power conditioning and control equipment, storage equipment (if required) and load equipment. It is particularly important to include the load equipment for a stand-alone system because the system design and sizing must take the load into consideration. By convention, the array components are split into the photovoltaic part (the PV modules themselves) and the balance of system (BOS) components. The remainder of this section provides a brief discussion of the most common system components and their role in the system operation, with some examples of typical performance. Note that there are many different options for BOS equipment, depending on the detail of the system, and it is only possible to give a general overview here.
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N. M. Pear-sail and R. Hill
u
*
DC loads
•
AC loads
PV array Charge ;ontroller
Battery bank
:
Inverter Figure 15.8
Schematic diagram of a stand-alone photovoltaic system.
= /
!
PV array
Figure 15.9
Building loads (AC)
Schematic diagram of grid-connected photovoltaic system.
PV array
Motor generator Figure 15.10 Schematic diagram of hybrid system incorporating a photovoltaic array and a motor generator (e.g. diesel or wind).
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The photovoltaic array The PV array is made up of the PV modules themselves and the support structure required to position and protect the modules. Cabling and interconnections are sometimes included in the definition although here they are discussed in a later section. The array has already been discussed in Section 15.3. Power conditioning It is often advantageous to include some electrical conditioning equipment to ensure that the system operates under optimum conditions. In the case of the array, the highest output is obtained for operation at the maximum power point. Since the voltage and current at maximum power point vary with both insolation level and temperature, it is usual to include control equipment to follow the maximum power point of the array, commonly known as the Maximum Power Point Tracker (MPPT). The MPPT is an electrical circuit which can control the effective load resistance which the PV array sees and thus control the point on the I—V characteristic at which the system operates. There are a number of ways in which the optimum operating point can be found but an MPPT often operates by checking the power levels on either side of the present operating point at regular intervals and, if a gain in power is observed in one direction, then the MPPT moves the operating point in that direction until it reaches the maximum value. For grid-connected systems, the MPPT is often incorporated into the inverter for ease of operation, although it is possible to obtain the MPPT as an independent unit. When DC loads are to be met, it may be necessary to include a DC-DC converter to change the voltage level of the output of the array to that required for input to the load. It is also usual to include charge control circuitry where the system includes batteries, in order to control the rate of charge and prevent damage to the batteries. Inverter If the PV system needs to supply AC loads, then an inverter must be included to convert the DC output of the PV array to the AC output required by the load. As with PV systems, inverters can be broadly divided into two types, these being stand-alone and grid-connected (sometimes referred to as line-tied). The stand-alone inverter is capable of operating independently from a utility grid and uses an internal frequency generator to obtain the correct output frequency (50/60 Hz). By contrast, the grid-connected inverter must integrate smoothly with the
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electricity supplied by the grid in terms of both voltage and frequency. The output voltage of the inverter is chosen according to the load requirements, e.g. 220-230 V single-phase for European domestic appliances. However, if the electricity from the PV system is to be fed directly into the supply of a large office building, for example, a 415 V three-phase output may be chosen. The input voltage depends on the design of the PV array, the output characteristics required and the inverter type. Stand-alone systems commonly operate at 12, 24 or 48 V, since the system voltage is determined by the storage system, whereas grid-connected inverters usually operate at significantly higher voltages (over 110 V). The shape of the output waveform is important because some loads can overheat or be damaged if a square wave output is used. True sine wave or quasi-sine wave (or modified sine wave) outputs are generally more costly but are much more widely applicable. Most modern stand-alone inverters provide a modified sine wave output, whilst grid-connected inverters should have a sine wave output with a very low harmonic content. In recent years, the module-integrated inverter has been developed. This is a small inverter designed to be positioned on the rear of a module and converting the electrical output from that single module. Hence, this module-inverter combination is sometimes referred to by the term "AC module". These modules are designed for gridconnected applications, particularly where the system is building-integrated. It allows AC power to be produced at the module level and has some advantages in system design such as the use of AC wiring for most of the power transmission and reduced losses for non-uniform systems (e.g. where there is shading). It is also expected to lead to a reduction in overall inverter cost when production levels are sufficiently high. Inverters for PV systems are designed to have high conversion efficiency (usually >90% at maximum). The efficiency varies with the operating point of the inverter, but is usually reaches its maximum between 30 and 50% of rated capacity and shows only a small decrease as the power level increases. However, the efficiency generally reduces substantially at power levels below about 10% of full power. In locations in the middle and north of Europe, the performance at low light levels (and hence low power levels) can have a significant effect on the overall system efficiency. Thus, it is usual to size the inverter at about 75-80% of the array capacity so that high inverter efficiencies are maintained at lower power levels. This means that the very high power levels are sacrificed since they are out of the range of operation of the inverter, but the balance of low and high power operation is usually such that it is more advantageous to use a reduced inverter size. This may not be the case for systems that experience a significant proportion of high power levels due to cold, clear weather conditions.
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When the inverter is grid-connected, it must be ensured that the system will not feed electricity back into the grid when there is a fault on the grid distribution system. The problem is known as islanding and safeguards are required in order to provide protection for equipment and personnel involved in the correction of the fault. Islanding is usually prevented by closing down the inverter when the supply from the grid is outside certain limits. The allowable limits vary from country to country but are usually around +1-2% in voltage and frequency. Requirements for prevention of islanding for systems are detailed in the connection regulations for each country. A good discussion of all aspects of grid connection has been prepared by Task V of the Photovoltaic Power Systems Programme of the International Energy Agency (IEA, 1998). Storage For many PV system applications, particularly stand-alone, electrical power is also required from the system during hours of darkness or periods of poor weather conditions. In this case, storage must be added to the system. Typically, this is in the form of a battery bank of an appropriate size to meet the demand when the PV array is unable to provide sufficient power. The design and operation of batteries is discussed in detail in Chapter 14. Load equipment The nature of the load equipment will determine the need for and suitability of the power-conditioning equipment and the capacity of both the PV system and the storage. The first consideration is whether the load or loads use DC or AC electricity. In the former case, the loads can be operated directly from the PV system or battery storage whereas AC loads will require an inverter to be included in the system. Where the system is grid-connected, loads are almost always AC but for autonomous systems, a choice can be made. This choice will depend on the availability, cost and performance of the DC and AC versions of the load equipment. For example, it is possible to obtain high-efficiency DC fluorescent lighting which, by virtue of its superior performance compared with AC lighting, results in a smaller capacity requirement for the PV system and hence, usually, reduced costs. In the case of water pumping, the choice between DC and AC pumps depends on the nature of the water supply {e.g. deep borehole or surface pump). The requirements of the load in terms of voltage and current input range will influence the type of power conditioning included in the system and the load profile
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will determine the relative sizes of the PV system and the storage, if used. System sizing in accordance with load details is discussed in more detail later in the chapter. Cabling and switching equipment The array cabling ensures that the electricity generated by the PV array is transferred efficiently to the load and it is important to make sure that it is specified correctly for the voltage and current levels which may be experienced. Since many systems operate at low voltages, the cabling on the DC side of the system should be as short as possible to minimise the voltage drop in the wiring. Switches and fuses used in the system should be rated for DC operation. In particular, DC sparks can be sustained for long periods, leading to possible fire risk if unsuitable components are used.
15.4.3 System sizing It is important to determine the correct system size, in terms of both peak output and overall annual output, in order to ensure acceptable operation at minimum cost. If the system is too large, it will be more expensive than necessary without increasing performance levels substantially and therefore the system will be less cost-effective than it could be. However, if too small a system is installed, the availability of the system will be low and the customer will be dissatisfied with the equipment. Again, the cost-effectiveness is reduced. Although many of the same principles are included in the sizing process, the approach differs somewhat for stand-alone and grid-connected systems. In the first instance, stand-alone systems will be discussed. The first step is to gather the relevant information on the location and purpose of the system. Location information includes • • •
Latitude and longitude; Weather data—monthly average sunlight levels, ambient and maximum temperatures, rainfall, maximum wind speeds, other extreme weather conditions; Constraints on system installation—tilt angle, orientation, risk of shading;
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Information on system purpose includes • • • •
Nature of load or loads; Likely load profile—daily, annual variation (if any); Required reliability—ability to cope with loss of load (for example, clinic lighting requires a higher level of reliability than a lighting system for a domestic house); Likelihood of increase of demand—many systems fail because they are sized for an existing load, but demand increases soon after provision of the PV supply.
If an autonomous system is required, the PV system must provide sufficient electricity to power the loads even under the worst conditions. Thus, system sizing is usually carried out for the month that represents the worst conditions in terms of the combination of high load levels and low sunlight conditions. Note that this is not necessarily the month that has the lowest sunshine or the highest load, but that for which the combination represents worst case. For a given system design, the average electrical output in the sizing month can be calculated from the average daily insolation level (usually expressed in kWh m"2) taking into account the number of modules, their rated efficiency, the efficiencies of all control and power conditioning equipment, the efficiency of any storage system, mismatch losses, wiring losses and the operating temperature. For an autonomous PV system, the average daily electrical output should match or exceed the average daily load. If this is not the case, then the PV array size must be increased. The battery storage allows for variations in the load level during the day and the provision of power at night. The battery bank must be sized to accommodate the average daily need for electricity which cannot be directly supplied by the PV system and so that this results in only a shallow discharge of the batteries. So far, we have considered only average values for load and sunlight levels. The daily sunlight levels can vary substantially and the battery storage must also allow for providing power in periods of unusually poor weather conditions. The length of the period to be allowed for is determined by consideration of local weather conditions {i.e. the probability of several days of poor weather) and the importance of maintaining power to the load. Clearly, if the system is used for medical purposes or communications, loss of power could have serious consequences, whereas for other situations, such as powering domestic TV or lighting, it is merely an inconvenience. Since an increase in the period for which supplies can be maintained involves an increase in the size of the PV array and/or battery bank and hence an increase in system cost, this aspect is an important part of the sizing exercise. Supply companies tend to refer to this by many different terms, including reliability, availability and lossof-load probability.
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Clearly, the sizes of the PV array and battery bank are linked, and an increase in the size of one can often allow a decrease in the size of the other. The sizing operation is usually an iteration of the problem to find the most cost-effective solution, taking into account the requirements and preferences of the user. Most companies have their own computer programs for performing this iteration and also use their experience to determine the parameters which should be input for any given case. It is also possible to purchase sizing software from several companies. For a grid-connected system, it is not usually necessary to meet a particular load but only to contribute to the general electricity supply. Some systems are designed to feed all their output into the electricity grid whilst others (e.g. most building integrated systems) are designed to meet some of the load in a local area with the rest of the requirement being supplied by the grid. These latter systems only feed power back into the grid when their output exceeds the demand of the load. The system sizing is therefore not often governed by the size of the load, but by other constraints such as the area available for the system and the budget available for its purchase and installation. Therefore, most sizing packages are used to determine potential output and to compare different options of system location and design, rather than optimising system size as such. Not all sizing packages are suitable for building-integrated applications, because they do not take account of the higher operating temperatures or the shading levels which can be experienced. However, more complex system simulation programs, taking these factors into account, have been developed in recent years (see, for example, Reise and Kovach, 1995). The accuracy of the output of any simulation will depend on the accuracy of the data which is input, as with all such systems. However, since there is a natural variation in insolation levels depending on climatic conditions, this must also be taken into account in the use of results from a simulation. If average insolation data are used, as is most common, then an average output will be obtained as a result. This is strictly speaking only the average value over the period represented by the input data rather than a prediction of what any future values will be. Thus it is possible to obtain practical results from a system which are significantly different from the simulation results of the design process, simply because of normal climatic fluctuations.
15.4.4 System operation The output of any PV system depends mainly on the sunlight conditions but can also be affected by temperature, shading and the accumulation of dirt on the modules. The
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overall system performance is usually represented by the efficiency, which is defined as the ratio of the electrical output to the load (in kWh) to the sunlight energy input (also in kWh) over the surface of the array in the same period. In general, this overall efficiency results from several processes to which individual efficiency values can be assigned, e.g. the conversion of sunlight to DC electricity, the conversion of DC to AC by the inverter. The system yield is also a useful parameter. This expresses the annual output (or that over another defined period) as a function of the nominal rating of the system and is in units of kWh/kWp. This allows comparison of systems in different locations. However, since this parameter does not explicitly include the sunlight level received over the period, account must be taken of whether the level was above or below average if the yield is to be used for a critical assessment of system performance. Another often-quoted parameter is the performance ratio, which is either given as a percentage or as a number between zero and one. Essentially, this parameter expresses the performance of the system in comparison to a lossless system of the same design and rating at the same location. It provides a measure of the losses of the system, but, because the sunlight level is included in the calculation, it becomes independent of sunlight conditions. Thus, it allows the comparison of system design in different locations. The performance ratio (PR) is calculated from the following formula: PR = system output over period / (average daily irradiance x array rating x number of days in period x monitoring fraction) where all parameters are values for the same period, the system output is in kWh, the average daily irradiance is in kWh m~2 and the array rating is in kWp. The monitoring fraction is the fraction of the period considered for which monitoring data are available and have been used to determine the values of the other parameters. The formula makes the assumption that average conditions are experienced for the time when data are not collected and so care must be taken with the use of PR values calculated for monitoring fractions less than 0.9.
15.4.5 Operation and maintenance Because of its lack of moving parts and simple connections, a PV system generally requires little maintenance. However, it is necessary to ensure continued access to sunlight, by cleaning the panels at appropriate intervals, by refraining from building any structures that could shade the panels and by cutting back any branches or other
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vegetation that could cover the system. The electrical connections should also be checked at regular intervals to eliminate any problems, e.g. corrosion, loose connections. If included in the system, the battery bank may need regular maintenance according to the type chosen. The requirement for cleaning is often overestimated by those with little experience of PV systems. In most cases, it can be assumed that 3-5% of performance will be lost if the system is only cleaned annually, with up to half of that loss being experienced within a few weeks of cleaning. However, the losses incurred and thus the requirement for cleaning are very dependent on location and are best determined from practical applications operating under similar conditions. For example, if there is the possibility of dust or sandstorms causing accumulation on the modules, perhaps in a desert area, then more frequent cleaning will be required. This can also be the case for systems installed in industrial areas close to sources of airborne pollutants. For building integrated systems on houses in many parts of Europe, it may not actually be necessary to clean the systems, since the action of rainwater on the inclined panels removes surface dust. Most operational problems occur as a result of poor maintenance of the BOS components (including loads and batteries) or allowing the array to become obscured or damaged. This latter problem indicates a lack of understanding of the operation of the system and there is a need for education of users to ensure that they operate the system correctly. This is also demonstrated by system failures arising from the addition of loads that were not included in the original system sizing. In this case, the combination of the PV and storage system cannot meet the increased demand and there is a danger of damage to the batteries from deep discharging. The costs of operation and maintenance will vary with application, since they are dependent on the ease of access and the requirement for cleaning, the remoteness of the system and any replacements that may be required. However, they are generally not more than a few percent of the system cost per annum.
15.4.6 Photovoltaic applications The wide range of applications in which photovoltaic systems are employed cannot be covered in depth in this chapter and so two particular examples will be discussed. These are remote area power supplies (RAPS) and building-integrated photovoltaic (BIPV) systems and they represent two of the major markets for photovoltaics, both now and in the future. They also provide examples of stand-alone and grid-connected applications respectively.
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Remote area power supplies (RAPS) These systems supply electrical power to a wide variety of loads remote from any utility distribution grid. The systems range in size from a single module powering a Solar Home System (SHS) to a few kilowatts of PV supplying a local area grid network. The systems are autonomous and so must include energy storage of some sort to supply power in the absence of sunlight. The economics of storage dictate that, for larger systems and for those where high reliability is paramount, some of the energy storage will be in the form of fuel for an internal combustion engine. In locations where the seasonal availability of wind energy is complementary to that of the solar irradiance, it is often cost-effective to include a wind turbine in the hybrid system. In a small, non-critical system, such as an SHS, a PV module charges a battery during the day, and the power is used at night for a few high-efficiency lights and a radio or small TV. A charge controller ensures that the battery is not overcharged or deep-discharged, to provide as long a battery lifetime as possible. System sizing is simple, using estimates of average daily usage of the loads, and, in the absence of 10 years of solar data in most locations, estimates of solar irradiance and its variability. In order to keep costs as low as possible, a standard system is sold to all users, although richer households may purchase a "2 module system", i.e. double the standard system. The reliability of the systems depends to a large extent on the users observing the remaining battery charge from indicator lights on the charge controller and modifying their usage accordingly. A longer than average period of low irradiance will result in a loss of power to the loads, but this is an inconvenience to the users rather than a threat to life or to the system. Some autonomous systems are part of safety-critical networks, for instance in aircraft navigation aids or telecommunication systems. In these cases, it is permitted to lose power to the loads only one day in 10 years, and the system design must guarantee this very low loss-of-load probability (LOLP). Even if there were long-run, accurate solar data for the site, it must be remembered that the stochastic variability of solar irradiance is such that past data are only an average predictor for the future, and once in 10 year events are not predictable (Lorenzo and Narvarte, 2000). It is always possible to oversize the PV array and battery to give such a LOLP in an average 10 year period, at a high cost, but even then there is no guarantee that a l-in-100 year low or worse will not occur in the first year of operation. The cost-effective solution is to include additional charging from a small internal combustion engine, usually a diesel, with a fuel store large enough to need refilling only on visits to the site for
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periodic maintenance of the electronic systems. The PV array and battery system are sized so that the engine is run at full power for about 1 hour/day, to keep it in good condition. The third major category of RAPS provides power for a local network, on a farm or for a small community. The PV array is sized to provide the daytime load with some battery charging, with an internal combustion engine, run intermittently, to maintain battery charge for night-time loads. On sites with a good wind regime, a wind generator can also be used. Where the wind generation and solar generation are not coincident in time, the triple hybrid can be the most cost-effective solution. Depending on the wind and solar resources at the site and the load/duration curve, either a wind/diesel or solar/diesel can be the optimum solution, so it is important not to overlook alternative solutions. The PV/diesel hybrid system is used in many parts of the world as an alternative to grid extension. In Australia, farms and small communities in the outback are supplied with a RAPS system in a standard container unit. All parts are transported in the container, which, on location, becomes the base for the system. The PV array is mounted on the roof, with the diesel engine, batteries and all power conditioning and controls mounted inside the container. The daytime load is supplied by the PV system, with the diesel engine as a back-up charger for the supply of night-time loads. The diesel engine is run at full power for at least one hour per day, to maintain it in good condition without excessive use of fuel. The fuel tank is sized so as to need refilling only at long intervals, so reducing the transport cost of the fuel. It is usual in these systems for the daytime load to be supplied direct from the PV array, through the inverter to the load. This avoids routing power through the battery, with its consequent losses. Daytime charging of the battery occurs whenever PV output exceeds demand. The PV array is sized to meet the daytime load, usually in the worst-case scenario. The battery is sized to give 1 or 2 days of autonomy and the diesel is sized so as to charge the battery at C/5 or C/10 rates of charge. In a situation where fuel and maintenance are readily available, an autonomous diesel engine will generate electricity more cheaply than an autonomous PV system. Only where fuel and/or maintenance costs are high will the use of PV become costeffective. This is frequently the case for navaid or telecommunication systems, which are often located in remote sites, accessible only by helicopter. Fuel and maintenance costs can then be very high and a PV/diesel hybrid is the most cost-effective solution. Refuelling and diesel maintenance takes place during the scheduled maintenance visits for the electronics and is therefore at marginal cost. The larger PV/hybrid systems are replacements for grid extension. At remote sites with small loads far from the existing grid, it is cheaper to install a PV/diesel system than extend the grid. Fuel transport
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costs and uncertain maintenance make a hybrid system more attractive than a straight diesel system and this will increasingly be the case as PV costs fall. Remote area power supplies make use of the fact that sunlight is freely distributed to all sites, however remote (at least in the sunbelt). The challenge in system design is to match the power output to the load as far as possible, and maintain a very high availability for safety-critical systems, whist keeping costs as low as possible. Storage is essential for any system that has a night-time load, and while battery storage remains expensive it will be cheaper for systems over 500Wp or so to include a diesel engine. Building-integrated photovoltaic (BIPV) systems One of the fastest growing sectors of the photovoltaic market is the building integrated photovoltaic system. This is an ideal application for the use of photovoltaics in an urban environment and takes advantage of the distributed nature of sunlight and of the electrical load. The benefits of the BIPV system can be summarised as follows: (a)
in common with other PV systems and most renewable energy technologies, it has a lower environmental impact than production of electricity from conventional fuels; (b) the electricity is generated at the point of use, so reducing the impacts and costs of distribution; (c) there is a possibility of offsetting some of the cost of the PV array by the amount which would have been paid for the building material it has replaced; (d) the system does not require additional land area, since building surfaces are used to accommodate the array. The PV modules can be integrated in several different ways, for example to replace roofing tiles, in place of facade material or as sunshades. Figure 15.11 shows an example of facade integration, but there are many different ways of including the PV array in the building design. The principle of the technical system design is similar to that for other PV applications, but there are some additional aspects to be taken into account. In contrast to the RAPS systems described in the previous section, the BIPV system is rarely sized to meet a particular load but often contributes to the electricity requirement of the building as a whole. It may be designed to match the general load profile or to provide higher output levels when, for instance, air conditioning is required, but it does not need to be an autonomous system since most of the buildings also have a grid supply.
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Figure 15.11 Example of facade integration of photovoltaics. The photograph shows the 40 kWp PV facade on Northumberland Building at the University of Northumbria. The PV array is integrated into the rainscreen overcladding. This system was installed in 1994 and is one of the early examples of facade integration (photograph courtesy of University of Northumbria).
However, the area available for the BIPV array may be constrained by building design, shading from surrounding structures or owner preference. Thus, the system size is often dictated by the nature of the building rather than its electrical loads. The visual aspect of the system is also important and this often affects the choice of module type, location and detailed integration method. Finally, the system design must take into account ease of installation, maintenance and operation and compliance with building regulations. A fully integrated BIPV array performs at least two tasks, the generation of electricity for use in the building and the protective functions of the external building element, but arrays can also be designed to perform additional functions. The most common function is shading, by louvre systems on the exterior of the building, by designing the cladding so as to provide shading to the windows at high Sun positions or by the use of semitransparent PV elements for a roof or facade, where the cells provide the shading. Figure 15.12 shows an example of the use of semitransparent
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Figure 15.12 Example of the use of photovoltaic modules to influence indoor lighting patterns. The Solar Office at the Doxford International Business Park in Sunderland, UK, has a 73 kWp array formed from semi-transparent PV modules. The cell spacing is varied to create the light effects in the inner atrium (photograph courtesy of Akeler Developments Ltd.).
modules in a glazed facade, where the cells provide both visual stimulation by variation of the arrangement pattern and shading to reduce solar gain and glare. The heat at the rear of the modules can also be used in some cases. Even in the most efficient modules, only about 15% of the light falling on the module is turned into electricity and, whilst a few percent is reflected, the rest is absorbed as heat. This results in a module operating temperature that can be 25-50 C above ambient temperature. Reducing the operating temperature by removing some of the heat is advantageous in terms of increasing system efficiency and a double benefit can be obtained if the heat is useful for another purpose. Because of the rather large area of the module and the relatively modest temperature differential between the module and ambient temperatures, it is not usually cost effective to use forced air or fluid flow to extract the heat unless there is a direct use for that heated air or fluid. However, the heat can be used to assist natural ventilation within the building by taking in cold air at the bottom of the building. As this air is heated behind the PV facade, it rises and pulls in more cold air to replace it. Examples of such ventilation systems include the Doxford Solar Office in the UK (Lloyd Jones et al., 1998) and the Matar6 Library in Spain (Lloret et al., 1997). Even for a system where no use is made of the heat, care must be taken to ensure that the PV array operating temperature remains at an acceptable level. For most
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stand-alone systems, there is free air movement around the array and so some cooling is effected. This is not the case for a BIPV system which forms part of the building fabric. The design must include adequate ventilation around the modules if significant losses in efficiency are to be avoided. Most BIPV systems are grid-connected, with the conventional electricity supply meeting any shortfall between the BIPV electrical output and the building demand. The system must conform to safety regulations for connection, as discussed previously. Arrangements can be made to sell back any excess production from the BIPV system to the electricity supply company. There is a wide range of tariffs offered for this electricity, ranging from the replacement generation cost (i.e. the cost for production of the same amount of electricity by the electricity company, not including distribution costs and overheads) to several times the normal electricity rate, where a scheme to promote BIPV exists (for more information, see Haas, 1998). Despite the possibility of offsetting part of the cost of the system in respect of the building materials replaced, the electricity generated by a BIPV system still costs several times what conventional electricity would in most cases. Only where the BIPV system performs several important functions and/or replaces expensive cladding materials does the electricity cost become competitive. However, costs are predicted to fall with increasing market size, as discussed more extensively in the next section, and BIPV systems are expected to become widespread in urban areas over the next 20-30 years. They could contribute significantly to world energy supply before 2050. Several countries (e.g. Germany, the Netherlands and the USA) have major promotion schemes for BIPV, stimulated by environmental concerns over global warming and pollution. Most of the current BIPV projects are for technical demonstration, but there are now some commercial projects based on the return expected from an enhanced environmental image and more energy-conscious approach to operation.
15.5 Costs of PV components and systems The generation of electricity from PV systems is unlike that of other systems in that the cost of generation is only weakly dependent on the size of the system. This is a result of the modularity of PV systems, and such differences as do exist at present arise mainly from sales, installation and maintenance costs rather than hardware costs. These costs will fall as the throughput of PV systems in the supply, installation and maintenance chains increases with increased sales.
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The manufacture of PV cells, modules and other components is, however, similar to that of any other product, in that mass production of identical units results in very significant reductions in unit cost. The PV industry is at a very early stage of its development at the present time. The total world market in 1999 was a little over 200 MWp, which is tiny compared with that for conventional electricity generating plant or compared with the potential PV market within the next decade or two. The costs of PV modules and components have been reduced considerably over the past 20 years or so, both by technical advances and by the benefits of scale in production, but there are very significant further gains to be made, even if there were to be no substantial advance in PV technologies in the next 20 years. The cost of manufacturing a PV module consists of the material, labour, capital and energy costs. The purchase price of a module is, of course, higher since it must also include marketing and sales costs, the profits to manufacturer and supplier and the costs of management, R&D and other overheads. The price of materials falls as they are purchased in tonnes rather than kilogrammes, whilst large-scale production uses machinery rather than labour, so that the labour costs/unit also fall. It is clear from similar industries that the price of equipment/unit output falls significantly as the throughput rises. The capital cost of equipment to make 1 million modules per year is much less than 10 times the cost of equipment to make 100,000 per year, the equipment would occupy much less than 10 times the space and it would use much less than 10 times the energy. It is also the case that large companies can borrow money more cheaply than small ones, so the capital repayments/unit of borrowing become smaller as the PV industry grows, further reducing the capital costs of manufacture. There have been a number of calculations of the manufacturing cost as a function of annual output. Table 15.1 below shows the calculations of Hynes and Hill, up to 100 MWp per annum (Hill, 1993) and the calculations of Bruton et al. for 500 MWp per annum for wafer silicon and 60 MWp per annum for thin film cells (Bruton et al, 1997). The overhead costs per unit also fall as the annual output increases so the price of a module falls with increasing scale of production, although not necessarily in a simple relationship to manufacturing cost. It is clear from Table 15.1 that wafer silicon modules can reach a cost of around $1/Wp in large-scale production. Most of the benefits of scale have been reached at an output of 100 MWp per annum but the expansion to 500 MWp per annum does bring further useful cost reductions. It is probable that replication of these plants and operational experience of the production processes could bring further reductions in manufacturing cost.
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Table 15.1
The manufacturing cost of PV modules as a function of annual output
Cell material
Single-crystal Si Polycrystalline Si Thin-film materials
Module manufacturing cost (US$/WP) lMWp
10MW P
4.7 4.7 3.3
2.2 1.9 1.8
60MW P
100 MW P
500 MW P 1.0
1.0
1.4 1.2 0.6
The three thin film materials (amorphous silicon, cadmium telluride and copper indium diselenide) all have equal manufacturing costs within the accuracy of these calculations. The manufacture of thin film modules is more amenable to mass production than that of wafer silicon, since the integrally-interconnected module is the production unit, rather than individual wafers which must then be interconnected. There are already manufacturing plants, for coated-glass windows, for instance, which have an output of 1 million square metres per year. Some of these windows have more thin film layers than would be needed in a thin film PV module, so it is possible to make reasonably accurate predictions of the cost of production for such modules. Table 15.1 shows that the benefits of scale in production are reached at lower annual output than for wafer silicon and that almost all of the benefits are reached at 100 MWP per annum. The lower material and energy usage and the reduced number of process steps give the thin film modules a cost advantage at most production volumes, provided that their efficiency is above 10% and the overall yield of the production processes is above 85%. This combination of criteria has been very difficult to achieve to date, but the learning curve for both suggests that they will be achieved in the reasonably near future. The basic problem is the achievement of sufficient uniformity across the entire module, but this is a problem of thin film deposition technology rather than some fundamental problem of device physics. It is therefore amenable to production engineering solutions and the "tweaking" of the deposition conditions. Table 15.1 does not give costs for the thin polycrystalline silicon devices, which are being actively investigated at present and produced by at least one manufacturer. There are reports that these devices have been produced in research laboratories in the form of integrally-interconnected modules. If such modules can be produced with a high yield then they could give a product with the price of a thin film module and the efficiency of a wafer silicon module. There are at present insufficient details to allow any independent assessment of the probability of this being achieved.
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The estimates of manufacturing cost given in Table 15.1 assume that production is at one plant, or at least at one site. No one plant is likely to produce the entire world output of PV modules, although the rise in the world market does lead to an increase in the size of production plant. An analysis of the growth of both the world market and the size of "state-of-the-art" production plant shows that the largest plants are designed for an output of about 10% of the likely world market when the plant is fully on stream. At the present time, a 'state-of-the-art' plant is around 20 MWP per year for a world market of around 200 MWP per annum (1999). On this basis, it can be predicted that plant sizes of 100 MWp per annum will be built when the world market approaches 1 GWp per annum, whilst a 500 MWP per annum plant will appear when the world market exceeds 5 GWp per annum. Since almost all of the benefits of scale in production have been achieved at 500 MWp per annum, it seems likely that further increases in the market would lead to replication of this size of plant in locations which minimise distribution costs. The PV industry is therefore at the very interesting stage where an increase in the market leads to falling production costs, whilst falling prices lead to an increase in the world market. The economic consequences of this benign cycle are dealt with by Anderson in Chapter 17 of this book, in his calculation of the economically efficient investments required to bring PV to commercial viability. The cost of a PV system is the sum of the costs of the hardware (modules and BOS components), and the costs of transport, system design, installation and maintenance. The price paid by a customer also includes the mark-up of the wholesaler and retailer in many instances, and often must include taxes and duties. These mark-ups are very dependent on the throughput of systems and on competition and are likely to fall in the future. As shown above, module costs can confidently be predicted to fall significantly as the scale of production rises. The costs of many of the BOS components are also subject to the same laws of production economics as those of the modules and largescale production of identical units will lead to significant cost reductions. For some applications and some components, this is already happening, and is likely to continue. For charge controllers in Solar Home Systems, for instance, increasing the production to 1 million per annum would reduce their price significantly. However, the use of 2 million batteries in these Solar Home Systems would not add very significantly to the world battery market, and the price of storage will not be greatly reduced unless there is some technological change.
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The non-hardware costs also have benefits of scale. The unit cost of transport is lower for a container load than for a small number of modules or systems. Spreading design costs over large numbers of systems reduces the cost to each system, whilst the installation and maintenance of many systems/year in one locality reduces the cost per system. The increasing market for PV systems will therefore lead to a reduction in all of the system costs, again giving a benign cycle. One of the most interesting applications for PV is on buildings, where BuildingIntegrated PV (BIPV) systems can effectively result in no additional cost. When PV modules are integrated into the structure of a building, they have a dual function. They act as a building element, replacing a conventional roof or facade, as well as being a generator of electricity. On houses, the BIPV system replaces roof tiles, which are of relatively low cost. On commercial office buildings, however, the BIPV system replaces the cladding elements that ensure both the weather-tightness of the building and its physical appearance. Conventional cladding systems vary widely in cost, but for luxury cladding, such as polished stone, the cost can be over £1000/m2 (US$ 1500/m2). Where a BIPV system replaces such cladding, the cost of the building is lower with PV than with the polished stone, and the owner of the building gets electricity generation at no additional cost. Property developers use expensive cladding for prestige, and companies buy or occupy such buildings to enhance their public image. With the increase in "green" awareness, a BIPV facade on a building can make a very significant public statement for the owners and occupiers of the building, and the image value can justify its classification as a luxury cladding. As the cost of PV modules falls, then BIPV systems can replace cheaper conventional cladding at zero additional cost, and the market for BIPV will expand greatly. The cost of electricity generated by a BIPV system is greatly influenced by the avoided cost of the conventional cladding that is replaced by the PV. Table 15.2 shows the cost of electricity from PV costing £2/Wp (US$3/Wp) for a range of cladding under the assumptions specified. It is clear from Table 15.2 that PV laminates costing £2/Wp and replacing conventional cladding costing £300/m2 or more can generate electricity at a cost below the retail price from a utility. The electricity is a free by-product if the PV replaces cladding costing £350/m2 or more. A modest insolation level, reasonable for UK facades, was chosen to demonstrate that the economic use of BIPV is not only possible for regions with high sunlight levels. Competitive electricity costs would be reached at higher module and/or BOS costs for locations with higher sunlight levels.
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Table 15.2 The cost of electricity generated by a BIPV system for a range ot cladding costs Laminate cost f/m 2
Cladding cost £/m2
280 280 280 280 280 280
100 150 200 250 300 350
Net PV cost Laminate—Cladding £/m2 £/Wp 180 130 80 30 -20 -70
1.3 0.9 0.6 0.2 -0.14 -0.5
System cost Net PV + BOS £/Wp
Electricity cost p/kWh
1.8 1.4 1.1 0.7 0.36 0
27 22 18 10 5 0
Assumptions: PV laminates: efficiency 14% cost £2/Wp; BOS costs £0.5/Wp; insolation 700 kWh m"2 yr"'; discount rate 8%; lifetime 30 years.
Two of the assumptions made in the calculations in Table 15.2 are quite challenging for the PV industry. The PV laminates for BIPV are not usually the standard laminate, but are often of glass/glass construction and frequently of nonstandard sizes, to fit in with the architectural design. They are not usually manufactured in large quantities and at present are typically 2-3 times the cost of standard laminates. If the BIPV laminates are made from silicon wafers, then this part of the cost will benefit from the world scale of manufacture, and the growth of the BIPV systems market will provide some benefits of scale to the manufacture of the BIPV laminates. The production of thin film laminates at the sizes required for the BIPV market could give low costs in terms of £/m2, although probably with a reduced power output from a given facade. The second challenge is to reduce BOS costs to £0.5/Wp. The development of module inverters, which could be made in millions, is a major step forward, and both reduces wiring costs and increases the annual output of arrays that are not simple planar, unshaded structures. There is a pressing need for a major concerted research and development effort in BOS components. However, it is clear from calculations similar to those in Table 15.2 that, even today, when BIPV laminates cost £4AVP and BOS costs are £2/Wp, there is a range of conventional claddings whose cost is equal to or greater than the BIPV system cost and whose replacement by PV would give electricity as a free by-product. In these niche markets, PV is cost-effective now and this should be the target of a campaign of education and demonstration to architects, property developers and all others in the building industry.
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N. M. Pearsall and R. Hill
15.6 Conclusions PV cells have social and commercial value only when they are used in a system to provide a service. This chapter has given a brief overview of the technical and economic considerations that allow the cells to provide such a service. PV cells may be incorporated directly into a product, for example in solar calculators, and add value to that product to the extent that their use is commercially viable. In most cases, the cells are contained in a PV module, interconnected to give an output which is directly usable, for battery charging for example, and protected against damage. The PV module is the standard commercial product from which PV systems are built. This chapter has described the construction of PV modules and their quality assurance testing, which has resulted in a product with an assured output, reliability and lifetime when operating in all of the world's varied climatic conditions. It is these developments in module performance that have provided the basis for the expanding market for PV throughout the world. A PV module is an electricity generator and requires additional equipment if it is to provide a useful service. This chapter has also discussed the range of other equipment needed in PV systems to provide the various services required by users. These include the electronics needed to give optimal operation in small DC systems, large AC systems and hybrid systems for safety-critical operations. In this book, it is possible to give only a brief overview of the equipment and its design criteria, but detailed discussions can be found in the proceedings of the regular international photovoltaics conferences and in other books devoted to system design (for example, Sick and Erge, 1996). This chapter has also discussed the economics of PV module production and application, particularly in building-integrated PV systems. It is well known that PV is cost-effective in remote locations. It is much less well understood that there are segments of the commercial building market where PV facades are already commercially viable and provide an opportunity for the PV industry. The sectors of the building industry must be alerted to this fact, through demonstrations and education, but first the PV industry itself needs to become fully aware of the opportunities within these niche markets. It is clear from the discussions in this chapter that PV is in the midst of benign cycles, where increased sales lead to larger scale production, which leads to lower costs, which leads to increased sales. The targets for low-cost production can be met almost entirely by this increasing scale of production, which follows from increased sales. Technological improvements in the solar cells are an additional bonus, although much remains to be done in bringing laboratory-scale performance to commercial
Photovoltaic Modules, Systems and Applications
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production, and the potential for fundamental improvements is significant, as discussed in many other chapters of this book. Photovoltaics has the potential to become a major electricity generation technology in the next few decades. It will fulfil this potential only if it is recognised that technical success with cells or modules is a necessary but not sufficient criterion for commercial success. It is the PV systems that provide the services for which users will pay, and these must be designed and implemented to the same level of quality and performance as the modules themselves. Whilst the ways to achieve this are known, they are not always carried out in practice and the development of standards for component quality, system design and installation method is addressing some of these problems. Another crucial area is in marketing and the PV industry will have come of age when the PV community pays as much attention to this aspect of the business as it presently does to the technology.
References Bruton T. M., Luthardt G., Rasch K.-D., Roy K., Dorrity I. A., Garrard B., Teale L., Alonso J., Ugalde U., Declerq K., Nijs J., Szlufcik J., Rauber A., Wettling W. and Vallera A. (1997), 'A study of the manufacture at 500 MWP p.a. of crystalline silicon photovoltaic modules', Proc. 14th. European Photovoltaic Solar Energy Conf., Barcelona, H. S. Stephens & Associates, Bedford, 11-16. Haas R. (1998), 'Financial promotion strategies for residential PV systems—an international survey', Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, Joint Research Centre of the European Commission, EUR18656EN, 3333-3338. Hill R. (1993), 'Prospects for photovoltaics', Energy World, 208, 8-11, original data updated by Hynes K. and Hill R. in 1999. IEA (1998), Utility Aspects of Grid-Connected PV Power Systems, TEA PVPS T5-01, International Energy Agency. IEC (1987), Photovoltaic Devices, IEC 60904 / EN 60904; Parts 1-10 deal with different aspects of the measurement process, dates of publication from 1987 for Part 1 to 1998 for Part 10. IEC (1993), Crystalline Silicon Terrestrial Photovoltaic (PV) Modules—Design Qualification and Type Approval, IEC 61215: 1993 /EN 61215: 1995. IEC (1996), Thin-film Terrestrial Photovoltaic (PV) Modules—Design Qualification and Type Approval, IEC 61646: 1996 / EN 61646: 1997.
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Lepley T. (1990), 'Results from the Arizona Public Service Company's STAR Center', Conf. Record 21st. IEEE Photovoltaic Solar Energy Conf, Kissimmee, IEEE Press, Piscataway, 903-908. Lloret A., Aceves O., Andreu J., Merten J., Puigdollers J., Chantant M., Eicker U. and Sabata L. (1997), 'Lessons learned in the electrical system design, installation and operation of the Mataro Public Library', Proc. 14th. European Photovoltaic Solar Energy Conf., Barcelona, Spain, H. S. Stephens & Associates, Bedford, 16591664. Lloyd Jones D., Matson C. and Pearsall N. M. (1998), 'The solar office: a solarpowered building with a comprehensive energy strategy', Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, Joint Research Centre of the European Commission, EUR18656EN, 2559-2562. Lorenzo E. and Narvarte L. (2000), 'On the usefulness of stand-alone PV sizing methods—the case of SHSs', Prog, in Photovoltaics, to be published. Mason N. B., Bruton T. M. and Russell B. (1995), 'Properties and performance of coloured solar cells for building facades', Proc. 13th. European Photovoltaic Solar Energy Conf, Nice, H. S. Stephens & Associates, Bedford, 2218-2219. Reise C. and Kovach A. (1995), 'PV shading analysis in complex building geometries', Proc. 13th. European Photovoltaic Solar Energy Conf, Nice, H. S. Stephens & Associates, Bedford, 2157-2160. Sick F. and Erge T. (1996, eds.), Photovoltaics in Buildings, A Design Handbook for Architects and Engineers, James & James, London.
CHAPTER 16
THE PHOTOVOLTAIC BUSINESS: MANUFACTURERS AND MARKETS BERNARD McNELIS IT Power The Warren, Eversley, Hampshire RG27 OPR bmcn @ itpower. co. uk Viewed in the light of the world's growing power needs, these gadgets are toys. But so was thefirstflea-power motor built by Michael Faraday over a century ago —and it sired the whole gigantic electrical industry. From Prospects for Solar Power, Harland Manchester (Readers Digest, June 1955).
16.1 Introduction Following the fabrication of the diffused-j unction silicon solar cell—the first PV device which could be of serious practical engineering interest—at Bell Laboratories in 1954, there was much media excitement about using solar power for consumer products such as radios, and for remote applications such as rural telephone lines. Companies including Western Electric and Hoffman Electronics demonstrated products and distributed brochures (Wolf, 1974), but sales were minimal. Over the next few years, it became clear that there were no commercially worthwhile markets for photovoltaics at the cost at which silicon cells could be produced. Hence PV remained confined to the research laboratories, although it was claimed by some wild dreamers that some time in the future PV would be used on the roofs of houses and compete with conventional power generation. In 1958, after promotion by the US Signal Corps., six small panels of Si solar cells providing 50-100 mW were included on the satellite Vanguard I. The success of PV power on this and other early satellites stimulated the start of small PV companies as suppliers to the space business. The extremely high cost of PV was not a deterrent: PV was, and remains, the most reliable and cost-effective energy source in space (see Chapter 13). There has been a steady increase in the size of PV arrays for space applications: payloads of less than 1 Wp were supplied on the first experiments, whereas several hundred Wp payloads are now the norm, rising to several kWp for
713
R. McNeiis
714
communications satellites. The largest payloads are the -25 kWp on Skylab and Mir; about 100 kWp will be required for the International Space Station (lies, 1998). The space PV business remains important for a small number of specialist manufacturers, and is annually worth $0.75 billion. But in power terms, its MWP volume is now less than 1% of world PV production. This chapter describes the initiation and subsequent growth of the world PV industry and the markets it serves. Before moving to the main substance, it is worth considering some statistics that illustrate the growth in professional interest in PV, and the transition from space to terrestrial dominance. At the International Conference on PV Power Generation in Hamburg in 1974 (the first such event in Europe), there were seven sessions. The seventh was devoted to terrestrial applications, while the first six dealt with the fundamentals or practicalities of space cells. The conference had a total of 46 papers and 165 participants. Twenty-four years later, the Second World Photovoltaic Solar Energy Conference in Vienna had nine sessions; the ninth was devoted to space applications, while the first eight covered research, applications and implementation of terrestrial PV. In total, there were 905 papers and 1890 participants. Figure 16.1 illustrates the expansion of the European conferences (which are usually larger than the Japanese or American equivalents). The growth of the industry has been equally impressive. But, as we shall see, penetration of the potential market is still minimal and spectacular growth is still to come.
Figure 16.1
Growth in numbers (papers and participants) at European Photovoltaic Conferences.
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715
16.2 Origins and structure of the industry In his book From Space to Earth, Perlin (1999) has provided a detailed account of the development of PV for space use and the subsequent growth of terrestrial applications. Until publication of this book, many had assumed that the PV industry had grown from the space cell manufacturers following a kick-start from the so-called oil crisis in 1973. However, according to Perlin, the first company established specifically to manufacture and market PV on a global scale was Solar Power Corporation in the United States. This grew out of an initiative (Berman, 1968) to develop low-cost, organic PV cells for the remote power market, with the ultimate vision of competing with conventional power sources. In order to acquire market experience, relatively low-cost, simple crystalline silicon PV modules that were crude by space standards were manufactured and launched as an "interim" product in early 1973. Manufacturing costs were about $10/WP and the selling price $20/Wp, and the development programme was funded by Exxon. At the same time, Solar Power Corporation established Solar Power Ltd. in the UK for its international marketing, and the company concluded a co-operation agreement with Lucas Industries. In 1973, another PV manufacturing company, Solarex Corporation, was formed in the USA by Joseph Lindmayer and Peter Varadi. There is an interesting connection between Solar Power and Solarex. In the 1970s, the two companies were arch competitors. In the late 1970s and early 1980s, Amoco invested in Solarex, but Exxon withdrew support from Solar Power, which then closed, while Solarex expanded. But the Solar Power/Lucas co-operation led to Lucas Solar, which became BP Solar. Then in 1999, BP and Amoco merged, leading to the merger of BP Solar and Solarex to form BP Solarex (see Section 16.4).' Today there are more than 70 PV manufacturers (not counting small producers making <100 kWp/yr). Some companies produce cells, some modules and some both. In addition, the PV industry includes companies that assemble complete systems (including batteries, inverters and load devices as required), and there are also specialist manufacturers of balance-of-system components. These various company types trade among themselves, and supply diverse customers. Figure 16.2 gives an indication of the structure of the industry. Its turnover is currently about $2 bn p.a. There is a great variation in the means used by manufacturers to reach their customers. The largest companies produce cells, encapsulate these into modules, design and integrate them into systems, sometimes using balance-of-system 1
In summer 2000, BP Amoco underscored their commitment to clean energy and renewables by restyling themselves as bp, standing for 'Beyond Petroleum'.
B. McNelis
716
PV cell manufacturers
PV module manufacturers
Systems houses
,•«
••
Balance of systems manufacturers
Original equipment manufacturers e.g. consumer goods
Consumers
| Large I institutional, I governmental ! and commercial clients Figure 16.2
NonGovernmental Organisations
users
The structure of the PV industry.
components manufacturers within the same company, and then supply directly to end users. But approaches, from total integration to being simply module producers, have varied greatly with time with the leading players. There is no single successful model.
16.3 Growth in PV production As noted above, PV cells were hand-made in laboratories in the 1950s, and it was only in the late 1960s that demand from the space industry was sufficient for specialist manufacturers to use small-scale 'cottage industry' techniques for manufacture, quality control and assembly. Annual production first exceeded 1 MWp. in the 1970s. Production in 1999 totalled about 200 MWp. The growth over this 40-year period is illustrated in Fig. 16.3. Expanding production over the past ten years is shown in Fig. 16.4, which also indicates the regions of manufacture. As well as expansion of production, there have been continuing reductions in manufacturing costs and sales prices. Figure 16.5 illustrates this trend.
The Photovoltaic Business: Manufacturers and Markets
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220 200 180 160 140 120 100 80 60 40 20 0 1958
1963
1969
1974
1979
1984
1989
1994
Figure 16.3 Global PV production, 1958-1999.
250 0 Europe BUSA H Japan 0 Rest of World 200
150
100 50
R R
J
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 Figure 16.4 PV shipments, 1988-1998.
1999
718
Figure 16.5
Price history of PV modules, 1978-1999.
16.4 Manufacturers The bulk of PV production is by a small number of manufacturers, principally in the USA, Japan and Europe, but with significant production also in Australia and India. Some of the large manufacturers have production plants in several countries. There are also a large number of small-scale manufacturers. The distribution of scale of manufacture and numbers of enterprises is illustrated in Fig. 16.6. There are only three companies each producing more than 30 MWp/yr. The eight companies that produce more than 10 MWP annually supplied 80% of world demand in 1999, as shown in Fig. 16.7. Table 16.1 shows the 1999 output of manufacturers producing more than 10 MWp. There has always been stiff competition between the three main trading blocks— Europe, the USA and Japan. Figure 16.8 shows how their market shares have varied over time. Europe's share of the market has been falling, partly because European companies have invested in production in the USA before increasing production at home. But, as will be described below, there are efforts to increase Europe's world position. According to Wolfgang Palz, the former director of the EU Renewable Energy Programme, mass production of PV is just starting in Europe (Palz, 1999).
The Photovoltaic
Business: Manufacturers
>=20MWp
and Markets
719
•
10-20 MWp I
5-10 MWp
1-5 MWp
<1 MWp
10
15
r-r-rr-r
20
25
30
35
40
45
Number of manufacturers
Figure 16.6
Other 38.3 MWp
Scale distribution of PV manufacturers.
BP Solarex 32.5 MWp
Photowall 10.0 MW
Sharp 30.0 MWp
Figure 16.7
PV shipments by manufacturer, 1999.
50
B. McNelis
720
Table 16.1
Major PV producers f> 10 MWP in 1999)
Company
Production 1999 (MWP) 32.5
BP/Amoco Solarex Kyocera
30.3
Sharp Siemens Solar Astropower
30.0 26.0 12.0 13.0
Sanyo Photowatt
10.0 10.0
ASE
Rest of World
Figure 16.8
Behaviour over period 1989-1999 of market shares of PV producers by geographical area.
The Photovoltaic Business: Manufacturers and Markets
721
The eight largest manufacturers, each of which produces more than 10 MWp annually, are described briefly below. BP Solar The merger of BP and Amoco in 1999, mentioned above, produced an extraordinary result for the PV industry, since both oil majors had their own PV corporate subsidiaries, which were leading producers and arch competitors. Amoco's solar subsidiary was Solarex Corporation, already mentioned in Section 16.2. Solarex had been launched in the USA in 1973, but from 1976, the company also produced modules in Australia, and it was eventually taken over by Amoco. In the early 1990s, Amoco joined with Enron to form Amoco-Enron Solar Energy Corporation as a 50:50 venture, with Solarex as a subsidiary. In 1998, Solarex produced 14 MWP of multi-crystalline silicon cells, of which 10 MWp was converted to modules, and 2 MWP of amorphous silicon modules, in its two US plants. The company had just brought on stream its new a-Si plant, with a capacity planned to increase to 20MW p /yr. Their "Millennia" a-Si modules broke new ground by offering a 20-year guarantee (at not less than 80% of rated minimum power). BP's subsidiary was the UK-based company BP Solar , which had been formed in 1982 when BP purchased the other 50% of the joint venture Lucas-BP Solar. As noted in Section 16.2, Lucas had entered the PV business through working with Solar Power Corp. Ltd., becoming its distributor in 1974. BP Solar manufactured single-crystal silicon cells and modules in its main plants in Spain and Australia, with smaller, jointventure manufacturing companies in India, Thailand and Saudi Arabia. Meanwhile, the company was focussing its R&D on CdTe thin-film cells, and in 1998 they opened a CdTe manufacturing plant in Fairfield, California, in a high-profile event involving Vice-President Al Gore. The plant and facilities had been purchased from APS (which had been made bankrupt following legal proceedings by Solarex over infringement by APS of their a-Si patents). The merger in 1999 of BP and Amoco caused the merger of BP Solar and Solarex, to create a unified PV company that was first called BP Solarex, and then renamed BP Solar in mid-2000. Kyocera Kyocera is a major Japanese manufacturing group (also making ceramics, semiconductors, electronics, optical-cameras/photocopiers and telecoms) which began PV research in 1975, initially on ribbon silicon. Small-scale manufacture commenced
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B. McNelis
in 1976 and a variety of products was demonstrated. Mass production of multicrystalline silicon cells and modules began in 1982. In 1991, a 6 MWp/yr production line was established, and in 1996 a 13 MWp/yr line was added. Production was 30 MWP in 1999. Recently Kyocera acquired the systems company Golden Genesis (previously Photocom, and the largest such company in the USA), renaming it Kyocera Solar and becoming one of the world's largest vertically integrated PV companies. Sharp Sharp Corporation has started production of a-Si PV modules at its new 3 MWp plant in Nara; these will be initially marketed for large-capacity industrial applications. Sharp is the only semiconductor PV wafer manufacturer seriously engaged in the terrestrial PV market. Production in 1999 was 30 MWP. Construction of a new 20 MWp/yr a-Si plant has been completed. Siemens Solar Siemens of Germany became a major PV producer in 1989 by acquiring ARCO solar, a California-based subsidiary of the Atlantic Richfield Oil Company, and forming Siemens Solar. At the time ARCO was the largest manufacturer in the world, but it was also claimed that it had incurred the greatest losses. ARCO Solar had itself been formed in 1977 when Atlantic Richfield purchased Solar Technology International (STI), which started in 1975, from Bill Yerkes. Siemens Solar R&D and new product development focuses on copper indium diselenide (CIS). Small modules (up to 40 Wp) have been manufactured on a pilot basis, with production reaching 250 kWp in 1998. Module efficiency exceeds 13% and Siemens reports that long-term outdoor stability has been demonstrated. Siemens is also a major manufacturer of c-Si modules; production in 1999 was 26 MWp. Astropower Astropower is one of the largest independent publicly owned manufacturers of PV cells and modules, and is currently growing at 50% annually. The company was founded in 1983 as an outgrowth of the semiconductor work initiated at the University of Delaware. It recently announced the first commercial shipment from its new 9 MWp/yr silicon-film manufacturing facility in Newark, Delaware Astropower and Atersa, Spain have formed a joint venture company called Astrosolar.
The Photovoltaic Business: Manufacturers and Markets
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Sanyo The Japanese company Sanyo is the major supplier of amorphous silicon plate to the PV consumer market. The company has long been a world leader in solar technologies, producing the world's first practical application of amorphous silicon in 1980 and the first mass production of hybrid 'HIT' solar cells. Development of the 'HIT' solar cell, a combined crystalline silicon and amorphous silicon cell, was supported in part by NEDO as part of the New Sunshine Programme under the Ministry of International Trade and Industry. Sanyo is the main owner of the USbased PV company Solec. Photowatt Photowatt is now one of the largest vertically integrated manufacturers of PV wafers, cells and modules in Europe, and a leader in thin-silicon cell technology. The company was originally French-owned but was acquired in 1997 by Matrix Solar Technologies Inc., a subsidiary of the Canadian company ATS (Automation Tooling Systems Inc.). Major investments are currently being made to expand production capacity. The company is installing a module assembly unit in South Africa as part of a joint venture with TOTAL Energie and TENESA South Africa, and has developed its own process, called POLIX, for manufacturing multicrystalline silicon. ASE The German company ASE (Angewandte Solarenergie) was formed in 1994 as a joint venture between NUKEM GmbH and Deutsche Aerospace. Since 1996, ASE has been 100% owned by NUKEM, which is itself a subsidiary of the German utility RWE. ASE Americas Inc. is a wholly-owned subsidiary of ASE, formed in the mid1990s when ASE acquired the technology and assets of Mobil Solar Energy Corporation, including their EFG (edge-defined, film-fed growth) ribbon c-Si technology. By 1998, ASE Americas was already producing 4 MWp of ribbon silicon. In Germany, a new 13 MWp/yr module plant has recently been completed. ASE also owns Phototronics,, which produces amorphous silicon plate.
In addition to the eight major PV manufacturers mentioned above, there are a number of other manufacturers which are not yet major producers, but which deserve mention because of their ambitious plans:
724
B. McNelis
Shell Solar Shell has been in and out of the PV business over the past 20 years. The Shell-owned Dutch PV manufacturer R&S was renamed Shell Solar in the late 1990s. The old R&S plant has a production capacity of 6 MWp /yr of polycrystalline cells and modules, with an output in 1999 of 2 MWP. The announcement in 1998 by Royal Dutch Shell that renewable energy would be its fifth core business led to major new investment in PV. Shell Solar, in a venture jointly with Pilkington Glass, has recently completed the building of a new 25 MWp/yr polycrystalline silicon production plant at Gelsenkirchen in Germany. Shell Solar is also developing markets through local investments in a number of countries, including China, India, Morocco, the Philippines, South Africa and Sri Lanka. Canon In the mid-1990s, Canon of Japan purchased rights to the amorphous-silicon-onstainless-steel technology of the US company Energy Conversion Devices (ECD). United Solar Systems (USSC) was established as a joint venture between Canon and ECD in 1990. USSC started production in 1997 with a double-junction a-Si plant of 2 MWp/yr capacity. In Japan, Canon has focussed its attention on R&D. A pilot plant produced 2 MWp in 1998, mostly as roof shingles and supplied to housebuilders within the scope of the Japanese 70,000 PV rooftops programme. Pacific Solar Pacific Solar has been established by the Australian electric utility Pacific Power and the University of New South Wales PV Research Centre. Pacific Solar is undertaking demonstration projects such as installation on the athletes' village at the Sydney 2000 Olympic Games, while simultaneously developing thin-film polycrystalline silicon and a roof-top PV system (Plug + Power™).
The website addresses of all the companies described above are given in Table 16.6 at the end of the chapter, and Table 16.2 shows past and planned production capacity by the most significant PV manufacturers.
The Photovoltaic Business: Manufacturers and Markets
Table 16.2
725
PV production capacity of major manufacturers, by material 1999 capacity (MWP)
Planned 2001/02 capacity (MWP)
Company
Country
Single-crystal silicon Siemens Solar BP Solarex Solec (Sanyo) Sharp
USA Spain USA Japan
22 15 10 25
5 10-20 10 10
Japan USA France Netherlands, Germany
36 20 15 6
20-30 10 10-20 25
2 8 2
5 5 10 15-30 25
Polycrystalline silicon Kyocera BP Solarex Photowatt Shell Sheet and ribbon silicon Evergreen Ebara Astropower ASE ASE
USA USA USA USA Germany
Amorphous silicon Sanyo BP Solarex Canon USSC Intersolar Sharp EPV Kareka
Japan USA Japan USA UK Japan USA Japan
Cadmium telluride BP Solarex Antec
USA Germany
Copper indium diselenide Siemens Solar EPV
USA USA, Germany, Hungary
6 5 5 5 1
20 20 5 25 3 20 5 10
_
10-15 5
-
10 10
726
B. McNeils
16.5 Markets The spectrum of applications for PV electricity is extremely broad. Indeed, PV is the only electricity generator where the same unit 'building block' is used on a scale from mW to MW. Figure 16.9 shows this range, and Fig. 16.10 the market shares of the principal applications (these data are extremely hard to collect and therefore may be unreliable). There are two principal market segments, stand-alone and gridconnected. Not only do these have different technical designs, standards and performance requirements, but their markets and driving forces are quite distinct.
1 mW
Consumer applications
Remote - Industrial •
1W
... o p t i o n
Grid-connected
1 kW
1 MW
Figure 16.9
Power range for main market segments.
Consumer 8%
Remote industrial 28%
Indoor 3%
Grid-connected 34%
Stand-alone 27% Figure 16.10
Worldwide market segments (1997).
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16.5.1 Stand-alone PV systems Until relatively recently, that is until the "craze" for building-integrated, gridconnected PV (described in the next section) took off, more than 90% of PV sales were for stand-alone applications, with the business growing at around 15-20%/yr. The main business was for professional applications, mostly telecommunications, but with a growing demand for remote habitation and services in developing countries. There are more than 2 billion people living in 400 million households in the world without access to electricity (World Bank 1996). According to James Bond of the World Bank, over the past 25 years an additional 1.3 billion people in developing countries have been connected to the electric grid—a great achievement; but world population has increased by 2 billion over the same period. So there are 700 million more people without electricity today than 25 years ago (Bond, 1998). It is widely accepted that the electric grid will never reach these 2+ billion people. Most developing countries are in crisis dealing with the increasing demand from alreadyconnected consumers, while grid extension to low-demand consumers is not bankable. But there are clear indications that many of the unelectrified 2+ billion are able and willing to pay for electricity if the service can be provided. Of course, the same 2+ billion require other basic services, such as fuel for cooking, health services, clean water etc., as well as electricity. But electricity can provide individual households with light and entertainment (radio and TV), while at the community level, water can be pumped and purified and vaccine refrigerators in health centres powered. For a dispersed population, a dispersed energy source is more attractive than extending the grid. PV will have to compete with other renewable energy technologies, for markets that will (ultimately) be driven by consumer demand. Table 16.3 summarises the options and lists the special attractions of PV. Figure 16.11 shows electricity cost as a function of load for photovoltaics (PV), wind and small diesel and micro-hydro power generation. For very small load*, such as individual households, wind can be considered the least-cost option. But this is dependent on there being a good wind regime: where there is a good wind, there have been successes with small wind generators. However, PV is much more widely useable, as solar radiation is adequate in most areas of most unelectrified, populated regions, and the installation requirements are less demanding. Moreover, PV modules are mass-produced and marketed and hence there is a far greater market penetration for PV than for wind. PV is thus uniquely attractive for individual household electrification.
728
Table 16.3
B. McNelis
Renewable energy options for off-grid electricity supply
Source
Type
Characteristics
Solar
PV
Uniquely attractive for individual household electricity Universally applicable Industrial backing Only proven for large (multi-MW) sizes
Thermodynamic Wind
Performance very site specific
Hydro
Where resource available, this is the least-cost option for village electrification
Biomass
Not viable on a small scale
PV: 6 kWh m ~ insolation PV: 4 kWh m'1 day insolation WIND: 6 ms"" average wind speed WIND: 8 m 8~' average wind speed 5 kW MICROHYDRO: €3000/kW Installed 5 kW MICROHYDRO: €1000ftW installed 5 kW DIESEL: €0.80/IHre 5 kW DIESEL: €0.40/lilre
1.0
10.0
100.0
Daily load (kWh day"')
Figure 16.11
Stand-alone electricity generation costs.
For larger, village-level loads, the most generally used electricity generator is a small diesel generator with a village distribution system. Where a suitable hydro resource is available, micro-hydro is less expensive to install and operate. There are many unelectrified villages in developing countries, as well as those using diesel generators, where a suitable river or stream is available for micro-hydro to be
The Photovoltaic Business: Manufacturers and Markets
729
effectively utilised. Where a hydro resource is not available, PV-diesel hybrid systems may soon find market acceptance. Technical breakthroughs are not necessary for successful PV rural electrification. Properly specified, designed, installed and maintained systems work well. PV price reductions are obviously desirable, but are not essential. Developing markets where PV is already cost-competitive is the best way of driving the price down. The main barriers are institutional, and have now been extensively analysed (Gregory and McNelis, 1994, IT Power, 1996). The most importance reform is that rural electrification policies have to move in favour of PV. This requires influencing governments and bureaucracies. The right products and the right people need to be brought together. Also importantly, user-attractive credit mechanisms must be established to facilitate purchase of PV systems. So-called poor people in developing countries are often prepared and willing to pay for services they really value. Ability to pay is much higher than may be suggested by data on average income or GDP (Gross Domestic Product). Rural people pay for kerosene or candles for lighting and for disposable primary batteries for torches or radios. In many countries, automotive batteries are taken by users for recharging at a retail charging centre. Customers do not pay an amount per kWh, but the equivalent cost/kWh is greater than the economic cost of PV electricity, which is about €l/kWh. Rural people offered electricity from the grid will often pay five times more per kWh than urban consumers. However, the capital investment required for PV system is large compared with the amounts of money generally available to the rural population; hence the need for consumer financing. The same situation prevails in the developed world, where major domestic capital expenditures, such as cars, televisions, washing machines, are for most people purchased on credit. The introduction of easy-to-get hire-purchase on a wide scale was essential for the development of markets like cars.
16.5.2 Grid-connected PV systems There has been long-standing interest in PV power stations. These are central PV systems in the capacity range from hundreds of kWp to multi-MWp, which feed their electricity into the main distribution grid. These were pioneered by utilities such as ENEL in Italy and PG&E in the USA. Several large plants, up to 5.2 MWP in size, have been built and successfully operated. The principal examples are listed in Table 16.4. The 3.3 MWp plant at Serre in Italy is the largest currently in operation (Belcastro and Paletta, 1994).
730
Table 16.4
B. McNelis
Principal central PV power plant
Plant name
Total power (kWp)
Start-up year
Germany Kobern Gondorf Neurather Pell worm
340 360 600
1988 1991 1983/91
600 600 3300 1000
1994 1986/92 1994 1993
1200
1985
1000
1994
500
1992
Italy Carloforte Delphos Serre Vasto Japan Saijo Spain Toledo Switzerland Mont Soleil USA Carrissa Davis Hesperia Kerman Rancho Seco
5200 450 1100 500 2000
1985 1992 1982 1993 1984/86
Generation costs are still high, and central PV plant cannot yet generally compete with conventional generation using fossil and nuclear sources. The IEA collaborative programme (IEA PVPS Task VI) concluded that there is no immediate market for this concept (IEA PVPS, 1997). But taking a long-term perspective, there is interest in locating very large, multi-GWp, PV plants in the desert areas of the world. Led by Japan, the IEA has launched a new programme (IEA PVPS Task VIII) to study very large-scale PV (VLS-PV) in areas such as the Gobi, Sohora and Sahara deserts. (Kurokawaefa/., 1999).
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Installation of small PV systems (around 1-5 kWp) on houses was pioneered in Switzerland and Germany in the 1980s. These were conventionally grid-connected (low-voltage network) buildings and the PV systems interlaced with the networking, exporting surplus electricity to the utility network, and drawing electricity from the utility when insolation (hence PV power) was insufficient, for example at night. This market was promoted by enthusiastic engineers, scientists and architects (notably Marcus Real in Switzerland, Jiirgen Schmidt in Germany and Steven Strong in the USA), with the purchasers being relatively wealthy people who wished to mark a personal commitment to, or statement on, the need for 'clean' energy and a better environment. The enthusiasm of Schmidt led to a collaborative effort under the auspices of the International Energy Agency (IEA) to exchange information and promote building integrated PV. As part of the IEA's Solar Heating and Cooling (SHAC) Programme, Task 16 was launched in 1990 by 11 countries (Austria, Canada, Finland, Japan, Netherlands, Norway, Spain, Sweden, Switzerland, UK and USA). The UK government joined, reluctantly, after successful lobbying by the British PV community. The UK then launched its own modest PV R,D&D programme and its experts played an important role in promoting PV building integration. Within SHAC Task 16, each participating country developed a PV building design concept which was reviewed by the expert groups, before being built and monitored. The UK building was the Northumberland Building in Newcastle, designed by a team led by the late Bob Hill. The final output of this IEA Task was a design manual: Photovoltaics in Buildings —A Design Handbook for Architects and Engineers (Sick and Erg, 1996) The Task was also the start of a major new IEA Implementing Agreement on Photovoltaic Power Systems, which includes (as Task VII) further work on the integration and operation of PV in buildings. It is now generally accepted that decentralised production of electricity on the electric grid, through building-integrated PV, is a more viable option than MW-sized central PV power stations. Advantages include the savings on transmission and distribution costs (which can approach 25% per kWh delivered) and investment costs, as well as PV being the 'skin' of the building, thereby potentially saving roof or facade material costs. Today there are subsidy programmes, for example for 70,000 PV buildings in Japan and 100,000 roofs in Germany, which are stimulating innovation and investment in the development of PV building components and opening the market.
732
B. McNelis
16.6 Future market growth There have been many (perhaps too many) projections of future PV markets. It is the author's view that not too much effort should be expended trying to predict the future. However, in this section some observations are made and projections presented. Figure 16.12 presents the market evolution model developed by the IEA PV Task on co-operation with developing countries (IEA PVPS Task IX) (McNelis, 1998). It is predicted that sustainable markets will evolve through market development initiatives, described above, and the 'natural' demand from purchasers.
Figure 16.12
Sustainable PV market evolution model.
Figure 16.13 shows a recent prediction of the growth in the worldwide PV market to 2010, based on an extrapolation from past trends, developed for the Sarasin Bank in Switzerland. This predicts an average growth rate of 17%/yr, but notes that gridconnected systems growth could average 25%/yr. This model suggests that the market will reach almost 1 GWp/yr by 2010. The European Photovoltaic Industry Association (EPIA) is currently updating its own predictions to 2010, as an update of its previous benchmark publication (EPIA, 1996). One long-term scenario presented to EPIA (Hoffman, 1999) suggests that PV will become competitive with utility peak power around 2030-2040. This is illustrated in Fig. 16.14. A 20%/yr growth would result in an annual market of 38 GWp/yr by 2030, as illustrated in Fig. 16.15.
The Photovoltaic
Figure 16.13
Business: Manufacturers
and Markets
733
Past and projected future development of the worldwide PV market (MW cells and
modules, no double counts), 1980-2010. Source: Butz (1999).
1.0
0.8
0.6
-
i &
0.4
0.2
0.0
1990
2000
Figure 16.14
2010
2020
2030
2040
PV competitiveness to 2040. Source: Hoffman (1999).
734
ft McNeils MW i
450
I L M
400 1
l<—
350
20 % growth p.a.
GW
100
300 25%^*^ 250
10
200
15%
^
150
w
/
100
0.1 50 1
1
1
1
1990
1995
2000
2005
Figure 16.15
2010
i
i
1
2015
2020
2025
2030
A view of possible PV growth to 2030. Source: Hoffman (1999).
16.7 International financing and new initiatives The World Bank lends to the governments of developing countries. It disburses about $4 billion/yr for energy projects. The regional development banks (e.g. the Asian Development Bank) have a similar role. Like other banks, these institutions have plenty of money in them. But this is for lending for economically and financially viable (i.e. 'bankable') projects. Much of the PV community has thought of these banks as additional sources of donations of PV gifts. But they are not. The World Bank is playing a major role in the introduction of renewable energy technologies into developing countries, generally with Global Environment Facility (GEF) grant funding to buy-down the costs of the technology. In the period 1992-97, projects valued at a total of $793 million were approved in India, Indonesia, Mauritius, the Philippines and Sri Lanka. The project pipeline for 1998-99 included projects in Argentina, Bennin, Brazil, Cape Verde, China, Egypt and India totalling $466 million. Tabic 16.5 lists current World Bank PV projects.
The Photovoltaic Business: Manufacturers and Markets
Table 16.5
735
World Bank/Global Environment Facility PV projects Funding ($milIion)
Country
GEF
World Bank
Other
Total
PV component
Argentina
10
30
81
121
66,000 SHS
Bangladesh, Dominican Republic, Vietnam (IFC/SME Programme)
1.5
Benin
1
2
3
6
5,000 SHS
Cape Verde
5
18
25
48
4,000 SHS
China
35
100
309
444
10MW p ofSHS and hybrid systems
Global (Solar Development Group)
10
6
34
50
Finance for PV businesses
India (IREDA)
26
185
239
450
2.5 MWP: various applications
India, Kenya, Morocco (PV-MTI)
30
90-110
120-150 Investment in off-grid PV projects
Indonesia
24
20
74
118
200,000 SHS (disrupted by crises)
Laos
1
1.5
2.5
20 battery charging stations (demonstration)
Sri Lanka
6
24
30
30,000 SHS
Togo
1
2
6
5,000 SHS
SHS = Solar Home Systems
Investments in firms in the three countries
3
736
B. McNelis
There are a number of market transformation or enablement initiatives that aim greatly to increase the penetration of PV markets, leading to sustainable growth for the industry. The Photovoltaic Market Transformation Initiative (PVMTI) is a major new programme that will run for ten years to strengthen private-sector investment in power generation from PV sources in India, Kenya and Morocco, and assist industry to accelerate the commercialisation of PV technology. The programme is the responsibility of the International Finance Corporation (IFC), the part of the World Bank Group that provides debt and equity finance to the private sector in developing countries. (IT Power/Impax, 1998). A total of US$ 25 million of GEF funds has been made available for investment in PV projects in the three countries: US$ 5 million has been earmarked for India, and US$ 5 million each for Kenya and Morocco. PVMTI is aimed at near-commercial investments or financing that will assist in market development and overcome barriers to PV dissemination. Projects are being identified through a broadly distributed public solicitation that was issued in 1998. The Solar Development Group (SDG) is being established by the World Bank and US Foundations as a private stand-alone company to provide market and business development services in Asia, Africa and Latin America that will accelerate the growth of private firms and deepen the penetration of Solar Home Systems (SHS) and other rural PV applications in the market. The target initial capitalisation is $50 million, growing to a turnover in investments of $100 million/yr. A totally private initiative is the Solar Bank, which was founded in 1995. This is developing operations simultaneously in India and South Africa to provide end-user finance for PV purchases. The Solar Bank will be a network of in-country debt funds. Solar Bank International, which is based in Europe, will raise money and provide financial services (Eckhart, 1998)
16.8 Concluding remarks It is impossible to present a complete and comprehensive report on the PV business in this short space, but an attempt has been made to present a balanced overview. As the industry and markets are evolving quickly, the best sources of up-to-date information are contained in the specialist periodicals. Photon International is a monthly publication with news articles on all aspects of PV technologies, industry and markets. Solar Flare is a by-subscription monthly analysis of the PV industry published by the US consulting firm Strategies Unlimited. Annual Reviews and five-
The Photovoltaic Business: Manufacturers and Markets
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year market forecasts are also supplied on a subscription basis. The IEA PV Programme publishes Annual Survey reports, available from the IEA website, that describe the PV activities of IEA member countries (between them, these account for around 90% of world PV production). The market for PV is growing at an increasing pace, driven by both demand from users and push from manufacturers. There is now sufficient momentum in the expansion of the industry to attract the necessary investments for continued growth. However, the electricity generated by PV is miniscule (<0.01%) compared with the total electricity generated globally. Whether PV could achieve 1% of the total electrical market in 50 years or more or less is not a really an important issue at present. In this author's opinion, time is not well spent guesstimating the future. The important point is that the world's PV manufacturers are positioned to create a growing, profitable business as we start the new millennium.
Table 16.6
Manufacturers' PV websites and email addresses
Manufacturer
Website or email address
ASE Astropower BP Solar Canon IEAPVPS Kyocera Solar Pacific Solar Photon International Photowatt Sanyo Sharp Shell Solar Siemens Solar Strategies Unlimited
www.ase-international.com www.astropower.com www.bpsolar.com [email protected] www.iea-pvps.org www.kyocera.co.jp www.pacificsolar.com.au www.photon-magazine.com www.photowatt.com www.sanyo.co.jp www.sharp-world.com [email protected] www.siemenssolar.com [email protected]
738
B. McNelis
References Belcastro G. N. and PalettaF. (1994), Editors' Workshop, Modular Photovoltaic Plans for Multimegawatt Power Generation, IEA PVPS Task VI, ENEL, Rome. Berman E. (1968), 'Solar Power' proposal to Itek Corporation. Bond J. (1998), Opening statement, World Bank Energy Week: Extending the Frontiers of the World Bank's Energy Business, Washington D.C. Butz C. (1999), 'Photovoltaics at the end of the twentieth century: the market, the players, and the investment opportunities in a sustainable industry', Report to Sarasin Bank, Basel. Eckhart M. (1998), 'Solar Bank: progress in India and South Africa', Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, Joint Research Centre of the European Commission, EUR 18656 EN, 2946-2949. EPIA (1996), Photovoltaics in 2010, ISBN 92 827 5347 6, European Commission, Luxembourg. Gregory J. A. & McNelis B. (1994), 'Non-technical barriers to the commercialisation of photovoltaics in developing countries', Proc. 1st World Conf. Photovoltaic Energy Conversion, Waikoloa, IEEE Press, Piscataway, 700-707. Hoffman W. (1999), 'Solar electricity by photovoltaics: breakthrough into new millennium's energy concepts', European Photovoltaic Industry Association Annual General Meeting, Helsinki. IEA PVPS (1997), Task VI Final Report, ENEL, Rome, Italy. lies P. (1998), 'From Vanguard to Pathfinder: forty years of solar cells in space', Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, Joint Research Centre of the European Commission, EUR 18656 EN, pp. LXVIILXXII. IT Power (1996), Solar Photovoltaic Power: The Technology, The Economics, Institutional Aspects (in 3 volumes), prepared for the Asian Development Bank, Manila, Philippines, ISBN 971 561 079 X. IT Power/Impax (1998), PVMTI Solicitation for Proposals. Kurokawa K. et al. (1999), 'A preliminary analysis of very large-scale photovoltaic power generation (VLS-PV) systems', IEA PVPS Report VI-5 1999:1, pub. Tokyo University of Agriculture and Technology, Tokyo 1848588, Japan. McNelis B. (1998), 'PV rural electrification: needs, opportunities and perspectives, Proc. 2nd. World Conf. Photovoltaic Solar Energy Conversion, Vienna, Joint Research Centre of the European Commission, EUR 18656 EN, pp. LXXIIILXXVI.
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PalzW. (1999), 'Current status and future prospects of photovoltaics in Europe', Proc. 11th. Photovoltaic Solar Energy Conf, Sapporo, Japan. PerlinJ. (1999), From Space to Earth: The Story of Solar Electricity', Aatec Publications, Ann Arbor, USA. Sick F. and ErgT. (1996), Photovoltaics in Buildings—a Design Handbook for Architects and Engineers, James & James, London. Wolf M. (1974), 'Historical development of photovoltaic power generation', Proc. Int. Conf. on Photovoltaic Power Generation, Hamburg, DGLR, Koln, Germany. World Bank (1996), Rural Energy and Development: Improving Energy Supplies for Two Billion People, Washington D.C.
CHAPTER 17
THE ECONOMICS OF PHOTOVOLTAIC TECHNOLOGIES DENNIS ANDERSON Centre for Environmental Technology Imperial College of Science, Technology and Medicine, UK [email protected]. uk
Change is not made without inconvenience, even from worse to better. Samuel Johnson, Dictionary of the English Language, 1755.
17.1 Introduction The development of photovoltaic technologies is making available to rich and poor countries alike an energy resource of immense potential. The Earth's yearly energy input from the Sun is more than 10,000 times the world's consumption of commercial energy. Solar insolations vary from 2,000 to over 2,500 kWh m -2 per year over vast areas of developing countries, from 800 to 1,700 kWh m~2 per year in Europe and 1100 to over 2,500 kWh m"2 in the United States. Photovoltaic systems are capable of converting 7 to 15%—with further development, 15 to 25%—of the incident solar energy into electricity. Assuming an insolation of 2,000 kWh m~2 and a conversion efficiency of 15 %, an area of land of less than 0.25% of the area now under crops and permanent pasture would be needed in theory to meet all of the world's primary energy requirements today.1 In practice solar schemes can be situated on rooftops or otherwise unused urban, rural or desert areas, so in principle there is no need to use croplands or pasturelands at all. There is no significant land constraint on the use of solar energy, and the main issues ahead from an economic perspective concern its storage and costs, and the policies required to support its further development. 1
Assuming that 1 toe generates 4,000 kWh, based on an average thermal efficiency of 33% for today's stock of power stations (see the BP Statistical Review of World Energy (any year)). The world's commercial energy demand in primary energy units is approximately 8.1 billion tons of oil-equivalent energy, or 350 EJ per year. The land area of the industrial and the developing countries is approximately 110 million km2, of which 38% is under crops and pasture.
741
742
D. Anderson
The explanation for this still not-widely-appreciated conclusion lies in the achievement, over the past two decades, of good conversion efficiencies for solar devices. Again, consider a device with 15% conversion efficiency occupying a hectare of land in an area with a solar insolation of 2,000 kWh m"2; it would generate 3 GWh per year. The amount of oil required to generate the same amount of electricity in a modern power station would be roughly 750 tons. The dry weight yield of common crops is 5 to 10 tons per hectare per year, 10 to 80 tons for energy crops, depending on region, and about a third of these figures in oil-equivalent energy units. Modern solar devices have thus raised the yield of land by one to two orders of magnitude already, and there is the potential for further improvements in conversion efficiency. This chapter reviews the economics of photovoltaic applications from two perspectives: •
The project perspective, in which the aim is to identify economically desirable applications of photovoltaics.
•
The policy perspective, in which the question is raised, what kinds of policies are merited to support the further development and application of the technologies?
Thanks to a growing number of projects around the world the economics of PV applications are becoming well understood; Section 17.2 reviews the main technical points and lessons learned so far. But public policies toward the development of the technologies and the PV industry have a number of shortcomings. Section 17.3 outlines the policies of the industrial countries and discusses the following: (a) the role of competition in the development of the PV industry; (b) the economic incentives ideally required in support of the economic benefits of R&D and innovation; and (c) international economic co-operation on energy and the environment. Section 17. 4 presents the conclusions.
17.2 Economics of PV applications Applications of photovoltaic systems have expanded exponentially as costs have declined. In the early 1970s, costs of PV modules were several hundred dollars per Wp, by the mid '70s, they had fallen to around $50/Wp, by the mid '80s to $15/WP, and by the mid '90s to around $4/Wp—a decline in costs of two orders of magnitude
The Economics of Photovoltaic
Technologies
743
in barely two decades.2 There has been something of a virtuous circle in this process. The more costs have declined, the larger the markets have become; and the more the markets have expanded, the lower the costs have become. The reason is that, with R&D and the growth in applications, the research community and industry have found ways of improving conversion efficiencies and of taking advantage of scale economies in manufacture to reduce costs. Engineering and economic studies point to further progress on two fronts: 1. Scale and production economies. World PV output grew from 1 MWp per year in 1980 to 40 MWP in 1990 to around 200 MWP in 1998; the growth rate is currently averaging 25 percent per year. Markets are still small, the technologies are modular, and economies of scale and the technical possibilities for automated production have barely been exploited. 2. Cell, module, and systems design, along with improvements in conversion efficiencies. Improved materials, multijunction devices, novel cell designs to capture more of the solar spectrum, and concentrator lenses to focus the sunlight onto high efficiency cells are important areas of development. Figure 17.1 shows the costs of PV modules as a function of cumulative PV sales. Costs have declined by approximately 20% for each doubling of the cumulative volume of sales. The actual curves fitted to such data take the form: Ct=C0(K,rb
(17.1)
where C, is the cost per Wp at time /, C0 is a constant, K, is the cumulative volume of production, and b is the learning curve coefficient. Cody and Tiedje (1992) and Tsuchiya (1992) have independently estimated b to be about 0.3 for PV modules, such that for each doubling of K, costs have fallen by 20%. (Note that this is an empirical relationship fitted back to a period when some production had already taken place, such that K0 > 0.) As the studies cited have shown, there is no evidence of progress coming to a stop and of costs not continuing to decline. In fact, there are good scientific and engineering-economic reasons for expecting significant further progress. 2
See Ahmed (1994) for a comprehensive survey of costs over the period 1972 to 1992 and a summary of cost projections in engineering studies, and the report of the US President's Committee of Advisers on Science and Technology (1997) for a more recent statement on current costs. See also Anderson (1997). The papers in Johansson et al. (1993) provide reviews of the various technologies. 3 Ibid.
744
D. Anderson
It would be misleading, however, to suggest that such developments are being driven by market forces alone, important as these have been, and not to acknowledge the role of public policies in the development of the industry. PVs have only recently reached the point where they are becoming economical for grid-connected applications in sunny areas, and their future development is still dependent on the vagaries of public policies, as discussed in Section 17.3. 100
•sr PV module price (US$/W P )
^ ^
10
0.1
1
10
100
1000
Cumulative PV sales (MW P )
Figure 17.1 PV module prices as a function of cumulative sales, 1976 to 1997. Source: US President's Committee of Advisors on Science and Technology (1997), Appendix D. 1 have added an estimate for 1997 (the last point shown) to this chart based on a module price of $4/W,, and cumulative sales of 700 MWP. (The above points were copied from a graph, and are approximate.) For an update on the costs of PV modules, see Rannels (1998).
Aside from the costs and efficiencies of the photovoltaic systems themselves, the economic returns to investments in them depend on: • • • • •
Whether they are for grid or off-grid applications. The yearly level and seasonal pattern of solar insolation. The daily, weekly and seasonal patterns of electricity demand. The voltage level and location of the consumers on the networks. Whether short or long-term storage is needed, which depends on the degree of coincidence between the solar peaks and the electricity demand peaks. The architectural value of PVs is also becoming important.
The Economics of Photovoltaic
Technologies
745
17.2.1 Electricity for rural areas and off-grid supplies Once the costs of PV modules had declined to under $20AVP in the early 1980s, a rising number of now-familiar applications began to emerge—for shipping buoys, telecommunications, road signs, refrigeration for rural clinics, and for solar home systems, street lighting, water pumps and irrigation in areas not connected to the grid, to name just a few examples. By 1996, there were over 250,000 such systems installed in developing countries alone, with several countries announcing new programmes (Flavin and O'Meara, 1998). System costs, including battery storage, are still high, $10 or more per Wp, which for applications in areas of high insolation (>$2000/kWh/y) translates into costs of 50 US cents per kWh.4 For comparison, Table 17.1 provides estimates of the costs of electrifying small communities from the grid as a function of their distance from the main networks. For low and moderate density loads in areas with good solar insolation therefore, the costs of photovoltaic systems with short-term battery storage are often lower than those of grid supplies. It is for this reason that the rural markets in developing countries—where there are 2 billion people still without electricity—have begun to emerge for PVs. The main alternatives to PVs are small diesel generators and, depending on location, wind generators and micro-hydro.5 The main problems to be addressed in developing these markets are less economic than institutional and social in nature. The following are often cited:6 (a) grid electricity in rural areas is often highly subsidised, making it difficult for PVs to compete; (b) the need to train artisans to install and service the systems; (c) the need to establish credit and leasing arrangements on account of the high capital costs of the equipment; (d) the areas in which electricity is introduced are not only poor, but often have not been surveyed, and hence there is much uncertainty about the affordability of PV systems and whether a viable market exists in the particular area in question; and (e) the high administrative costs of setting up the programs and providing 4
See Anderson (1997) and World Bank (1996). The actual prices charged in developing countries are sometimes more than twice the cost figures quoted above, however, largely because of the high costs of establishing markets in rural areas. Small 40W systems in Africa have been found to cost $12-20/W p (Ashford, 1998), though this often includes a lighting unit. A recent survey of quoted prices for grid and off-grid PV systems was conducted by the IEA (1997), which found that $10/WP was the lowest of the range of prices found in OECD countries. 5 See World Bank (1996) for an analysis of alternatives. 6 Acker and Kammen (1996), Cabraal and Cosgrove-Davis (1995), Miller (1998), Adamantiades et. al. (1998) and World Bank (1996) discuss the issues listed in this paragraph and provide practical guidance.
746
D. Anderson
supporting services. Nevertheless, the 1990s have seen the emergence of a growing market for off-grid electrification using PVs that did not exist before, and is attracting finance from both private industry and financing agencies.7 In Kenya, the rural market is now developing of its own accord, and more people are adopting PV systems in rural areas than are being newly connected to the grid (van der Plas, 1994, 1997; Acker and Kammen, 1996). Table 17.1 The effects of line length and consumption levels on the costs of rural electrification (costs in UStf per kWh) Cost component
Unit costs
Generation and transmission: Fuel Capital Transmissionand subtransmission Sub-total (rounded)
3-4 2-3 3 10
Medium-voltage extension and low-voltage distribution: 5 km spur line, 20 households 5 km spur line, 50 households 3 km spur line, 20 households 3 km spur line, 50 households 1 km spur line, 20 households 1 km spur line, 50 households High-density rural loads
75 35 45 20 15 7 2
Totals"
85 45 55 30 15 17 12
Source: The estimates are those of Arun Sanghvi based on project work in Indonesia, and first appeared in World Bank's paper on Rural Energy and Development (1996). I have added the figures for 5 km spur lines. Assumptions: medium voltage lines $10,000 per km; low-voltage distribution $5,000 per km; $40 per kilovolt ampere for simple pole-top distribution transformers; consumption levels of 35 kWh per month per household; 20 metres of low-voltage circuit per house; 10% discount rate; twenty-five year lifetime for circuits, fifteen for transformers. The figures are adjusted for the higher losses experienced in serving rural energy demands. "The totals are the sum of the costs of distribution shown in the first column, and the subtotal of the costs of generation and transmission, shown in the fourth row.
7
See for example the Project Implementation Review of the Global Environment Facility (1997) and Adamantiades etal. (1998).
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17.2.2 Electricity for grid supplies When looking at the economics of grid-connected applications of PVs, it is necessary to compare their costs with the marginal costs of electricity supply. The latter vary in a complex way with season, time of day and voltage levels, and analysis of them makes an appreciable difference to economic assessments of the economic desirability of PV investments. The marginal costs of grid supplies Marginal costs, as the term implies, are the costs of meeting a marginal increase in demand. Their relevance is that they are the costs to which prices need to converge in a competitive electricity supply industry (or at which prices need be set in an optimally regulated industry) if the economic benefits minus the costs of supply are to be maximised.8 Figure 17.2 illustrates the latter condition using a demand and supply diagram. The supply curve increases in steps, each step representing the fuel and operating costs of the output of a particular generator: the generators with the lowest fuel and operating costs are used first, and the ones with higher operating costs at the higher loads (merit-order operation). Prices and marginal costs
Peak-load price
Maximum output capacity of the system
Figure 17.2
Demand and output (kW)
Prices and marginal costs of electricity in peak and off-peak periods.
An exposition can be found in Turvey's and my book (1977).
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D. Anderson
Consumer demands are lower the higher the price, so the demand curves are declining functions of price. Only two demand curves are shown, though in practice consumer demands vary throughout the day, every day of the year. In off-peak periods, when demands are below the maximum kW capacity of the power system, increases in demand can be met by raising the outputs of the generators, and incur only an increase in fuel costs; the optimum price (if the industry is competitive or is optimally regulated) will equal the marginal fuel and operating costs only, as illustrated. In peak periods, on the other hand, the generators are operating at full capacity, and there would be excess demand and demand shedding if prices were kept at off-peak levels, and thus prices are bid up so as to bring equilibrium between demand and supply. In the UK electricity industry this is an outcome of what is known as 'pool pricing'. In publicly owned electricity industries regulators ideally attempt to achieve a similar result by requiring the industry to raise its prices to reflect the higher costs of meeting demands in peak periods. In either case, 'peak-load pricing' is the outcome; it provides the incentive for investment in new capacity. Prices in the peak periods vary from one day to another depending on demand and supply conditions; but over a period of time their average value converges toward the sum of the marginal fuel and operating costs of generation in the peak period plus the marginal costs of investments in new capacity required to meet the demand peaks. The logic of having lower prices in off-peak periods is that increases of demand are more cheaply met, and lower prices at these times encourage more use of otherwise unused capacity. In peak periods, in contrast, meeting increases in demand requires considerable investments in new generating, transmission and distribution capacity. Thus if P0 is the price per kWh in off-peak period, f0 the marginal fuel and operating costs, and L0 the fractional losses in transmission and distribution, then it is worth meeting an increment of demand if P 0 >/ 0 (1 + Z J
(17-2)
If there is competition, prices will be bid down to f0 (1 + L0). In peak periods increases in demand require investments in generation, transmission and distribution that will typically last for 30 years. Thus if SQ is the increase in demand that such investments are expected to meet over their lifetime, C the capital costs per kW of capacity of the investments, Pp the expected price per kWh of electricity over the peak demand periods, Tp the hours of peak demand in each year (denoted by t) and r is the discount rate on which the investments are being appraised, then it is worth meeting this increase in demand if the discounted present value of the revenues are equal to or exceed the discounted present value of the costs, i.e. if
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The Economics of Photovoltaic Technologies
^P^SQd
+ rr'ZCd
+ L^SQ +
^f^l+L^SQd+rr
where the summations are taken over the lifetime of the investments, fp denotes the marginal fuel (plus other variable operating) costs in the peak period, and Lp the losses, also in the peak period. Elementary manipulation and assuming competition (such that the expression becomes an equality) yield Pp = ±-(l + Lp)A(n,r)C
+ (l + Lp)fp
(17.3)
p
where A(n,r) is the annuity rate commonly used in financial calculations,9 n being the lifetime (in years) of the investments. The product A(n,r)C is often termed the annualised capital costs. This equation rests on a number of simplifying assumptions that are readily relaxed in practical work: 1. Electrical losses On account of higher currents, resistance losses are higher at peak than at off-peak times. Losses also tend to be higher in the lower voltage distribution networks and in regional towns with long feeder lines. In off-peak periods, 8% may be typical, and in peak periods 12% or more. Inserting PVs in the distribution networks when the solar peaks coincide with the demand peaks can thus usefully reduce both losses and the capital costs of investments in the distribution networks. 2. Reserve generating capacity It is necessary to allow for generator outages and maintenance requirements when estimating capital costs. The 'availability' of generators is rarely 100 %, but closer to 85-95 % even in well managed systems. Another factor to allow for is demand uncertainties when planning capacity expansion. Power stations may take 3-5 years to build and bring into service, and demand forecasts over such periods are uncertain. For these reasons, it is usual to multiply the capital cost term for power stations in eq. 17.2 by a factor (100 + m)la, where m a the margin of uncertainty in the demand forecasts (a value of m of 5 to 10% is typical) and a is the availability. 3. Indivisibilities in transmission and distribution Similar considerations to those noted in (2) also apply in principle to the costs of transmission and distribution. Network extensions and reinforcements have to be planned some years ahead of demand and generally have appreciable spare capacity built into them so as to provide 9
A(n,r) = r/[l-(l+r)-"].
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for load growth and outages. Ideally, estimates of the costs are made by considering alternative network configurations at the design stage—something that is necessary when considering the merits of inserting PVs into the networks (see below). 4. Spikiness of the peak It is evident from eq.17.3 that the shorter the period of peak demand (the lower Tp), the larger the cost of meeting it. This can be very important. In some countries the peak demand occurs for only a few hours in the evenings, typically 4 to 5 hours a day for less than 150 days a year; hence power plant and networks are often used at full capacity for only 5% of the year. In others, the demands may be highest in the daytime on account of industrial, commercial and daytime air conditioning or heating loads, depending on season and climate, typically 8 to 10 hours a day for 200 days a year; even so, the system will only be operating at full capacity for around 20 to 25 percent of the year. Electricity generation companies are able to reduce the costs of meeting peak demands somewhat by using old power plant and gas turbines for peak load generation. Nevertheless, the costs of meeting peak demand may still be several times the average costs of supply (see Table 17.2 below). One can see from these estimates why peak load pricing provides a good incentive for consumers to economise on electricity use during peak times. It also provides an incentive for the development of storage technologies. The storage heaters introduced in many homes in the UK in the 1960s and 1970s for example were promoted through the use of lower prices for offpeak (night-time) electricity, when there was much unused capacity on the system. More recently, Japanese electricity companies have been introducing an 'eco-ice systems' in which the air-conditioning equipment is used to freeze an ice box at nights, the ice being used (via a heat exchanger) to support the air-conditioning systems in the daytime.10 5. Environmental costs The costs of meeting environmental taxes or regulations are normally and appropriately included in the capital and operating costs of the power equipment—of scrubbers in coal-fired power stations for example, of rerouting transmission lines or putting distribution lines underground to avoid visual intrusion, and so forth. Table 17.2 shows some estimates of the costs of meeting peak and off-peak demands on two systems, one with a spiky peak, the other with a longer peak. The calculations are illustrative. The ratio of peak to off-peak prices is 8:1 for the first case, and can be higher in situations where the peak is spikier, and/or if a region is 10 Masashi's dissertation (1997). It should be added that the devices have been promoted through subsidies rather than through offering lower prices in off-peak periods.
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some distance from the grids such that distribution costs and losses are higher. In large measure this is because of the large costs of investments in distribution—as can also be seen from the Table. Frequently, the costs of PVs are compared with the costs of generation from modern coal- and gas-fired power stations; but the costs of distribution, which may amount to over half of the costs of meeting peak demands, are just as significant. It is for this reason that the idea of embedded and distributed generation is attracting much interest.11 Table 17.2
Marginal and average costs of electricity supplies (US $ per kWh)
Component of costs
Average costs
Marginal costs Off-peak
Spiky peak Flat peak
Generation Capital Fuel and O&M
2.4 3.9
0.0 3.2
7.4 4.5
3.0 4.5
Sub-total Transmission and distribution
6.3 2.4
3.3 0.0
11.9 13.3
8.3 5.3
Total
8.7
3.2
25.2
13.6
Assumptions: A spiky peak is taken to be 800 hours and a flat peak 2000 hours per year. Capital costs of $500 per kW for generation at peak load multiplied by 1.15 to make an allowance for reserve margins, $ 1,000 per kW for generation at base load (this figure is used in the estimates of average costs), and $ 1,000 per kW for transmission and distribution; average fuel and O&M costs of 3.50 per kWh, and 3.0 and 4.00 per kWh at off-peak and peak respectively. A 10% discount rate and 30 year lifetime is used, generation costs are adjusted to allow for 8 and 12 percent losses in transmission and distribution at off-peak and peak respectively, 10% on average. The load factor is 51 % (4,500 kWh per peak kW) in the estimate of average costs. The International Energy Agency's report E A (1992) provides estimates of power station costs. The costs of transmission and distribution vary greatly with country and region, and of course with voltage level; the above estimates include low-voltage distribution and are indicative only.
The implication of the preceding discussion is that it is worth investing in PVs for peak-load shaving in situations where their costs move into the cost ranges where they compare well with the marginal costs of meeting peak demands. Much clearly depends on the local situation—the coincidence between the solar peak and the demand peaks, the spikiness of the demand peaks, distribution costs, and so forth. But as costs decline, such investment opportunities are likely to become increasingly " The term embedded generation refers to PV systems located at particular points in the distribution networks (generally substations), while distributed generation refers to grid PVs owned by consumers.
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D. Anderson
frequent, and such applications are a logical next step in the industry's development. Let us consider this point further. Comparisons between the costs ofPVs and grid electricity Detailed analyses of this topic can be found in Feinstein et al. (1997), Byrne et al. (1996), Hoff et al. (1996), and Shugar (1990). Comparisons between the costs of PVs and grid supplies vary from case to case, not only because of the regional and time dependence of the costs of grid supplies, but because of differences in solar insolation between regions and the timing of the solar peaks and the demand peaks. When the latter are coincident—as they often are in sunny regions with high air-conditioning loads—PV systems can be installed relatively inexpensively without storage. But when they are not coincident, storage is required, and this greatly adds to costs. Table 17.3 illustrates these points by looking at costs for two cases, one where the demand and the solar peaks are coincident and the other where they are not, each for three different levels of solar insolation. Also, two costs levels (a, b) are shown for the PV systems, the first corresponding to the lowest prices for grid-connected systems according to a survey conducted by the International Energy Agency in 1995 (IEA, 1997), the second to the upper estimates of the lower costs projected for such systems as the new generations of PV manufacturing plant come on stream over the next 1-5 years (Rannels, 1998). Comparison of the estimates of Table 17.3 with those for grid supplies in Table 17.2 shows why the use of PVs for peak load supplementation in regions where there is a good coincidence between the solar peaks and the peak demand is becoming economically attractive. The costs of meeting peak demands on distribution networks are often in the range 15-300 per kWh—and sometimes well above this. Feinstein et al. (1997) estimated marginal costs rising to over $1 per kWh in peak periods on parts of the system of the Pacific Gas and Electric Company in California. In fact a good case can be made for using PVs for peak load supplementation even in regions with more modest insolation (around 1500 kWh m -2 ), again if demand peaks and solar peaks are coincident and distribution costs are high. The situation is different when short-term storage is needed (Case II), except in high insolation areas with spiky peak demands.
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Table 17.3 Photovoltaics and distributed generation: effects of equipment costs, solar insolation and the timing of electricity demand and solar peaks on costs in US0 per kWh supplied Component
Insolation (k\Vh/m2/y)
Capital cost ($/kWp)
1500
2000
2500
CASE I - good coincidence between the solar peaks and peak electricity demands Modules and system Components
a. $7,000 b. $3,000
50 23
38 18
30 15
CASE II - when short-term storage is needed to meet the peak electricity demands As above plus battery storage
a. $10,000 b. $6,000
72 45
55 34
42 27
Basis: Annuity rate times capital costs plus maintenance costs of 1 to 20 per kWh. Figures rounded. An annuity rate of 0.106 corresponding to a 10% discount rate and a 30-year lifetime is taken for the modules and system components, and 0.2 for batteries, corresponding to a 7 year lifetime for the latter. The IEA notes that the costs of the systems are still high because many are still in the demonstration stage, and anticipates significant falls as markets expand. The costs of batteries for Cases II are based on the comparisons of off-grid and grid-connected price data shown in Tables 2.4 and 3.8 of the IEA's report. Note that while the battery storage costs per kW are assumed to be the same for the three levels of insolation, the actual storage requirements may differ in practice with insolation levels and the duration of the peak demands.
Architectural value ofPVs Another route to reducing the net costs of PVs is through their use as a building material for walls, roofs and windows. The 1990s have seen numerous and architecturally appealing demonstration projects.12 The effects on the economics of PVs are summed up in Table 17.4. The calculations include areas with low as well as high insolations in order to illustrate the potential importance of applications in highlatitude as well as low-latitude countries. Hill comments: "Luxury claddings, of polished stone, cost around £800-1000/m2 whilst top-of-the-range glass curtain walling costs around £600/m2...The costs shown in [my adaptation of his table]...do not include luxury claddings, but cover the range 12 See van Zee (1998), Nodfmann (1998) and Strong (1998), who together provide numerous examples and illustrations. The trade journals are replete with architecturally attractive examples.
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D. Anderson
from low to high quality cladding systems." It is difficult to disagree with his conclusion regarding the enormous economic potential of building-integrated PVs as a component of urban energy supplies. Even in the lower insolation areas of Europe the economic prospects are not unpromising. The recent demonstration programmes in Europe, the USA and Japan, in focussing on the architectural merits of PVs along with their capacity to generate electricity, are surely on the right track. Table 17.4 Net average electricity costs of a $4/Wp PV system for a range of cladding costs and solar insolations PV system costs, $/m2 450 450 450 450
Avoided cladding cost, $/m2
150 300 450
Net cost of PVs $/m2
$/Wp
450 300 150 0
4.0 2.6 1.3 0.0
Net electricity cost (USeVkWh) Insolation (kWh/m2) 1000
1500
2000
2500
45 31 15 0
30 21 10 0
23 17 8 0
19 11 6 0
An annuity rate of 0.106 is assumed, based on a 10% discount rate a 30 year life for the investments, and maintenance costs of 2
17.3 The policy framework Future developments and reductions in PV costs will depend on a combination of three sets of policies: • • •
the enabling conditions for investment and innovation; incentives for research, development and demonstration (RD&D); and climate change policies.
Since the early 1970s, the first two of these have been by far the most important. All the impressive developments that we have seen so far were achieved before a climate change policy of any significance had been put in place. However, climate change policies have recently become a further stimulus; the point that renewable energy technologies are capable of meeting world energy demands on a large scale and of stabilising carbon emissions, should the need arise, has by now been well
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demonstrated.13 The Global Environment Facility, which operates the financial mechanism for the United Nations Framework Convention on Climate Change, gives a high priority to the application of PVs in developing countries and is capable of supporting significant investment programmes.14
17.3.1 The enabling conditions for investment and innovation The current trends worldwide to open the electricity industry to private investment and competition should be a stimulus to the markets for PVs.15 In the first place, one reason for privatisation was to shed the subsidies for major fuels—for coal and nuclear power in particular. It has been variously calculated that such subsidies alone aggregated to several hundred billion dollars per year in the previously nationalised industries,16 which greatly undermined the emergence of and competition from other fuels such as gas and, more recently, renewable energy. In developing countries the subsidies also extended to the electricity industry itself. A survey by Heidarian and Wu (1994) found that their electricity prices averaged only 40/kWh, less than half of the average costs of supply, requiring subsidies that amounting to over $120 billion per year to maintain the financial position of the industry intact. This, too, undermined the use of alternative sources of electricity—not least in the rural areas, where the subsidies were often the greatest and the possibilities for the alternative technologies such as PVs were initially most promising.17 Until the mid 1990s, the annual subsidies for coal, nuclear power and grid electricity around the world were several hundred times the public expenditures on the development of renewable energy and a more than thousand times those on the development of PVs. It is exceedingly difficult for any new technology to emerge and compete with the status quo in so warped a policy environment. Another justification for privatisation (though it is often overlooked) is that it should lead to better price structures. Notwithstanding the economic appeal of marginal cost pricing discussed above, few countries ever adopted it. Hence we saw 13
See for example the scenarios of the Shell Group of Companies (Jennings, 1995), IPCC (1995), Watson (1996) and Johansson et at. (1993), World Bank (1992), and Anderson (1994). 14 It levers approximately $4 additional private and public finance each $1 of its own finance. See GEF (1997) and its Quarterly Operations Reports. " An international review of policies on privatisation and reform in the electricity industry is provided by Bacon (1995). 16 Myers (1998), World Bank (1992). 17 See my own review, Anderson (1997).
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D. Anderson
little use of peak load pricing, and in most systems prices were set above marginal costs in off-peak periods to cross-subsidise prices in peak periods. This was not only a source of over-investment (because peak-load prices were too low) and of assets being underused (because off-peak prices were too high), but also, as can be seen from the preceding analysis, an appreciable deterrent to the development of storage technologies—including technologies suitable for dealing with the problem of the intermittent nature of renewable energy. Although trends in the countries that have chosen to privatise and reform their electricity industries are promising, Bacon (1995) cautioned that "the lack of actual experience of fully-privatised non-integrated Electricity Supply Industries means that correspondingly little firm analysis is available on the costs and benefits of such a move. ... Experience to date must be regarded as a series of experiments from which definitive lessons may take some time to emerge." In a more recent review of experience in developing countries he found that, "Energy sector reform has a long way to go ... in the great majority [of developing countries], little or nothing has yet been done to install energy market fundamentals" (Bacon, 1999). So far, in countries that have opted for the reforms, we have seen the emergence of competition in generation and of pool pricing on national grids. But competition in distribution has been much harder to achieve, largely because of the quasi-monopoly that exists in ownership of the 'wires' even in privatised industries. The problem can be largely addressed if (a) the regulators require distribution companies to introduce marginal cost prices at the retail level, and (b) regulatory policies permit small-scale, embedded and distributed forms of generation to be connected to the system and the net metering of electricity. In sum, the new paradigm of a privatised and competitive electricity industry should be beneficial to the development and application of PV technologies. But developments on the distribution side of the electricity industry will need to be closely monitored since there is the danger that local monopolies will prevail and, unwittingly or otherwise, discourage the emergence of PVs for distributed generation. Two policies that those interested in the development and use of PVs should strive for are: 1. The introduction of marginal cost prices for high, medium and low voltage customers. 2. Net metering for customers with PV systems, except, perhaps, for very small systems for which the meters might be too costly. The absence of either of these conditions means that the economic inefficiencies associated with monopoly are not being addressed by regulatory policy.
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Technologies
17.3.2 RD&D and incentives for innovation Principles When appraising an investment, it is usual to consider only its capital, operating and maintenance (O&M) costs:18 C, = k,I, + m,I,
(17.4)
where C, denotes the total costs of the investment at time t, I, the size of the investment (in kW), k, its unit costs (per kW of capacity), and m, the present worth of its lifetime O&M costs (also per unit of capacity). This standard way of looking at the costs of an investment is satisfactory so long as there are no external costs or benefits associated with it—pollution that goes untaxed or unregulated, for example, or benefits to other investors that go unremunerated. But if cost curves are declining with investment, then both the investments and their O&M costs at this time will be lower than they would otherwise have been because of investments made in earlier periods. Similarly, the costs of future investments will be lower because of investments in the present period—and the greater the contribution of the present generation of investments to cost reductions, and the greater the amount of future investment, the greater such benefits are likely to be. Such benefits can be described as positive externalities; they arise when investments in one activity benefit others but are unable to earn a commensurate economic return for this through a market's prices. For reasons now discussed, some form of tax incentive or regulation is needed to remove the distortion. To begin, the existence of learning curves such as those for PVs (see eq. 17.1 above), in which the unit costs of investment are a function of the cumulative amount of investment, implies that K = /{/o + h +h +
+/,}
where the greater the value of 1.1, the lower the value of k, until the lowest value of k, is reached, corresponding to the industry having 'matured'. Similarly, the O&M costs may also decline with investment and as operational experience is gained.
The arguments presented in this section can be readily understood without reference to the elementary mathematical treatment also presented; the latter may be useful however, as a means of estimating the level of tax-incentives or subsidies required for an optimum allowance for the external benefits discussed. Reference should also be made to the famous paper of Arrow (1962) and the review by Baumol (1995).
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The actual present value of the costs of an investment at time t = 0, say, is then C0 = M o + mo/o+Zfl,/, {(dk,/dl0)
/0 + (dm,/dl<>) I0 }
(17.5)
where a, = 1/(1 + f)', r being the discount rate and a0 = 1. The summation is taken over all future periods, t = 1 ... °°. With declining costs, the functions dk,/dl0 and dm,/dl0, which represent the changes in future costs as a consequence of today's investments, are negative. These derivatives can be large when a technology is in its infancy, but gradually decline to zero as a technology matures. The third term on the right-hand side is thus the present worth of the savings in the investment and O&M costs of future investments as a consequence of the investments undertaken in period 0. It represents the positive externalities of the investments. Note that the savings in unit costs are weighted by both the discount factor and the prospective level of use, so it is not just the steepness of the cost curves that is important; the greater the level of prospective use, the greater the external benefits will be. A question that arises about the positive externalities of innovation is: does not virtue create its own reward, and if so, why provide further incentives? In other words, why do not investors anticipate the declines in costs, take the risks themselves and, if successful, earn the rewards? The answer, which is not precise, lies in the fuzzy area of political economy concerning the roles of the public and private sectors in the market economy. When costs are high and their future levels are uncertain some companies will invest, but (in the absence of tax or other incentives) on a reduced and small scale, while others will adopt a 'wait and see' position and let the actions of the former reduce costs before deciding to invest themselves (this is sometimes called a 'free rider' position). The overall effects are that investment will be much less than is economically ideal; and the benefits of developments that would otherwise occur will be lost. In some cases there may be no investment at all. Historically, the shortfall of incentives for investments in new technologies has often been made up unintentionally as a by-product of defence expenditures, of which aerospace and the materials, communications and computer industries are well-known examples; in fact, early developments in PVs themselves owe much to aerospace applications. However, not all technologies can depend on defence expenditures for their market development, and the preferred policy should be to provide the incentives directly. Often showing better economic instincts than economists themselves, public officials have widely responded to the issue by creating special incentives for applications of a range of novel energy technologies such as PVs (see below), linked to cost curves and long-term commercial objectives. Equations like eq. 17.5 are no
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more than a formal justification of this, and provide a means of estimating what the tax incentive should ideally be. RD&D programmes and tax incentives for investment The policy implications of expressions like eq. 17.5 are thus that a subsidy or tax incentive is merited so long as the cost curves are declining and the level of prospective use is large. Table 17.5 estimates the value of the positive externalities for investments in PVs today on the basis of the learning curve formula given in eq. 17.1 and for various assumptions about market growth and different discount rates. Table 17. 5
Positive externalities of investments in PVs as a % of costs per Wp
Learning curve parameter b and discount rate (%)
Rate of market growth (% per year) 20
25
30
24 31 37
26 34 40
29 36 42
30 38 44
33 41 47
36 43 49
10% discount rate b = 0.2 b = 0.3 b = 0.4 7% discount rate b = 0.2 b = 03 b = 0A
Basis: Costs per Wp decline with cumulative investment, K,, at time t according to the learning curve formula given earlier in eq. 17.1. Investment grows at a rate of g per year such that/, = /o(/ + g)' . Changes in maintenance costs are considered to be small and are neglected. Under these simple assumptions, the value of the external benefits (the capital cost component in the third term on the right-hand side of eq. 17.5) are approximately given by bgl(l + g)(r + bg).
Two simplifying assumptions behind such calculations need to be recognised. First, the learning curve parameter b is valid only over a limited range. At some point diminishing returns to investment will be reached and there will be a limit to the ability of research and of manufacturers to reduce costs further. Similarly, the rate of growth of markets, which has been around 25% per year for nearly two decades, will begin to decline. In other words, as the industry 'matures' the positive externalities
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will begin to taper off, and so too should the tax incentives. But PVs are a long way from this point being reached. The technologies are in their infancy. The engineering studies cited earlier consistently point to the possibilities of costs of PV modules declining to the range $0.5 to 1.0 per Wp with technical progress and scale economies. Similarly, today's markets of around 200 MWp per year are very small, and an increase by one to two orders of magnitude is not inconceivable. Second, learning curve formulae have so far been fitted to the costs of PV modules only and thus neglect balance-of-system costs, the costs of marketing and the fixed costs of educational and demonstration programmes. The latter can be large in relation to the costs of the systems themselves. The IEA (1995) survey of gridconnected systems in OECD countries found that prices ranged from $6.9 to $20 per Wp, and commented that the high costs in several countries arose from the high costs of demonstration projects. Thus incentives to encourage market applications should ideally be extended to balance-of-system and marketing costs, and there is also a need to support the fixed costs of demonstrating the newer technologies. PV policies in practice Virtually all the industrial countries have PV programmes of one form or another, as have a number of developing countries, including China, India, Brazil, Sri Lanka and Indonesia. Policies vary greatly between countries, in the USA between states, and are often bureaucratically and financially complex. Some countries allow net metering, others do not. Some offer consumers preferential tariffs, others offer tax incentives or subsidies on capital costs, and some do both and some do neither. All have educational and RD&D programmes of one form or another but the scales of the programmes differ enormously, as one can see from the PV capacities installed, which in 1995 ranged from 0.2 MWp in Portugal, to 0.4 MWP in the UK, to 13, 16, 18, 26 and 75 MWp respectively in Australia, Italy, Germany, Japan and the United States. Table 17.6 provides a summary for 1995, based on the most recent comparison of policies across IEA member countries. For more recent information on policies in selected countries, and also for information on the costs of PVs and several other renewable energy technologies, see IEA (2000).
" See Baumol (1995).
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Table 17.6 PV promotion initiatives in IEA countries, 1995 Country
Incen tive"
Cum.PV installed (kWp)
Comments
Australia
PT, TES
12,700
Range of tariffs, including bulk supply tariff, 20% off retail and net metering. Varies between states.
Austria
PT
1,361
Tariffs negotiable, net metering, tax exemptions on electricity, subsidies between 15 and 50 % available from regional governments.
1,830
Limited net metering for small systems. Accelerated depreciation for systems > 10 kWp to reduce effective costs of installations. Net metering standard. Utilities buy PV electricity at discounted prices.
Canada
Switzerland
PT
8,073
Denmark
PT
140
Germany
PT, TES
17,790
Utilities pay basic tariff by law ($0.11-1.25 per kWh). Sales tax exemption if PVs part of cost of new house.
Spain
PT
6,547
Compulsory purchase of PV electricity by utilities with rates set by national authority.
Finland
-
1,300
40% subsidies to utilities for investment costs.
France
-
2,930
95% subsidies for off-grid systems.
UK
368
No carbon taxes on renewable energy.
PVs "not ready to fit" into the Non-Fossil Fuel Obligation. PV electricity would be purchased at pool price. (This policy was under review in 1999.)
Italy
PT, TES
15,975
Subsidies of 30-80% depending on use. Preferential rates on a sliding scale from $0.26/kWh. VAT reduced from 19% to 9%.
Japan
PT, TES
26,022
National tax deductions of 7% of acquisition value or depreciation equivalent of 30% of acquisition value. Subsidies of 50-66% based on reductions in local property taxes.
Korea
-
1,768
No pollution or energy taxes on PV.
762 Table 77.6contd. Holland
TES
2,460
Portugal
TES
165
Sweden
—
USA
PT, TES
1,620 74,820
Accelerated depreciation on PV installations of 250 Wp. Electricity sold at premium and tax exempt rates. VAT reduced from 17.5% to 5% for PV systems. Exempt from taxes on C0 2 . PV electricity purchased at retail price. Wide variety of investment incentives and grant schemes, varying by state. 15 states have net metering.
Source: 1EA (1997), Tables 2.1 and 2.2. I have amended the lEA's statement for the USA, which excluded the investment incentives offered by the Department of Energy and various states. " PT = Preferential Tariff; TES = Tax Exemptions or Subsidies.
In no country are the policies set in concrete. Policies have evolved considerably over the past two decades, and are still being changed as experience is gained and with institutional developments in the electricity industry. It is beyond the scope of this paper to review them thoroughly, but it is possible to identify some principles that are emerging from experiences so far. The following seem to me to be the best elements of the more successful policies, and are fully consistent with the economic principles reviewed in this paper: 1. A long-term policy with five distinct but interrelated elements has been developed: (a) Education in solar energy, including demonstration and experimental projects in schools and universities, (b) Direct financial support for basic R&D both in industry and in the public research establishments and universities, (c) Direct financial support for demonstration projects to bring new and promising possibilities to the public's attention. Procurement programmes for public buildings are a much-used device for demonstration programmes in some countries and may be supported by grant finance or tax incentives. Since these programmes are, by their nature, at the 'frontier' of possibilities, it seems relevant not to confuse them with a fourth element, which is (d) to introduce investment incentives to encourage wider deployment of the technologies that have been demonstrated, (e) Use of net metering with prices equal to the marginal costs of the grid electricity supplies they are competing with. Several countries have developed a vision for the longer term, including the setting of goals for cost reductions and demonstration programmes. But this is not a feature of the UK's policies towards PVs. The UK's Non-Fossil Fuel Obligation
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(NFFO) has attracted much attention, and has successfully encouraged the deployment of renewable energy forms such as wind, landfill gas, the combustion of municipal and industrial waste and sewage gas. Major reductions in costs were also achieved.20 But by design it was concerned with short-term goals only, and all but closed the doors to PV development (see Table 17.6); a closer look at the positive externalities of innovation would have provided a different perspective on the prospects for PV technology. It would have also called for changes in bidding procedures. Bids are costly to prepare, and by their nature are suited for larger scale, centralised forms of electricity generation only. Thus the value of PVs in the distribution system was ignored, since PV electricity would have been purchased at pool (as opposed to retail) prices (Table 17.6).21 2. Investment incentives for renewable energy forms have been made suitable for small-scale investments in distribution. For PVs, this has argued for tax incentives for PV installations and, once again, for net metering. 3. Investment incentives have been linked to capital costs rather than electricity tariffs. As noted, some countries offer preferential tariffs for PV electricity, others offer tax incentives for investment, and others offer both. There is a good case, however, for concentrating the incentives on capital costs alone and avoiding the use of preferential electricity tariffs. First, it helps to address a financing problem, which is that of users of PVs having to pay for 'thirty years of electricity at once' when the systems are first installed. Second, it reduces the financial risks to consumers of a later government or electricity regulator reversing previous policies and taking the preferential tariff away. This too can encourage investment. Later governments or regulators may of course change the incentives on capital costs too, but the earlier generations of investment will at least have received the full incentive and will be unaffected. Third, the policy provides an economically more appropriate incentive. Suppose a consumer's PV system generates, say, 2000 kWh/year when his consumption is several times this amount, such that only 500 kWh is metered back to the grid on days when his consumption happens to be low. In principle, the incentive should apply to the full 2000 kWh supplied by the PV system and not just the 500 kWh supplied to the grid. However, unless there is a complicated rebate or special metering
20
See DTI (1998) for a review. A review of the merits and limitations of the UK NFFO programme and a comparison with programmes in other countries is provided by Shepherd (1998). 21
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system in place to allow for this, the preferential tariff will only apply to the 500 kWh. Linking the incentives to capital rather than energy costs avoids this difficulty, and is preferable in theory as well as in practice. 4. Notwithstanding the availability of investment incentives, whether on capital or running costs, there is sufficient financial commitment on the part of the user that there is an incentive to maintain the system and choose investments wisely. 5. There is openness to trade and foreign investment in PV systems and their components. The last point takes on added importance in light of the emerging international market for PVs. The markets in developing countries especially are likely to be enormous. Their per capita consumption is doubling each decade, as it did for the first seven decades of this century in the industrial countries, and 700 million people are being newly served with electricity every decade. Their electricity generating capacity is only 800 GW, as compared with around 2,000 GW in the industrial countries, although their populations are seven times larger and per capita consumption levels are only one tenth of those of the industrial countries. It has been estimated that more than 5,000 GW of new capacity will be needed in the developing countries in the next few decades, more than twice the amount the industrial countries have installed in the present century. The point is also all the more important precisely because for the next two decades the share of PVs in the energy market will be small. World PV shipments are currently about 200 MWp per year, or 0.2 % of new electricity generating capacity installations worldwide. Even if PV continued to grow at its present rate of 25% per year, it would still account for less than 10% of new investment in 20 years, though the stage would surely by then be set for major expansion. During this period the development of the industry will be especially dependent on enlightened public policies (and, equally, vulnerable to deficiencies in them), towards trade and investment, the regulatory policies of the electricity industry, R&D, incentives for innovation, and the various other policies noted above.
J 7.3.3 PVs and climate change policies There is a three-to-five-fold cost advantage of using PVs in developing countries relative to most of Europe, on account of the greater solar insolations and the closer seasonal coincidences between the electricity demand peaks and the solar peaks. This
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means that PVs are ideal candidates for finance by the Global Environment Facility (GEF) under the United Nations Framework Convention on Climate Change. As noted earlier, the GEF has already financed several PV programmes, though they have so far been confined to the off-grid markets in rural areas. As the preceding analysis has sought to show, however, once we allow for the costs of distribution (Table 17.3), for the architectural merits of PVs (Table 17.4), and for the positive externalities of innovation (Table 17.5), the economic attractiveness of grid-connected applications is greatly increased. In addition, the opening up of the grid markets would enable the industry to reduce costs and develop the customer service networks such that both the rural off-grid as well as the urban grid markets could be supplied more cheaply. Lastly, the GEF entitles the projects it finances to a carbon credit of $25/ton of carbon emissions they displace. There is therefore an excellent case for the GEF to support development of PVs for grid-connected applications as well as offgrid markets. A further possibility might soon arise through the Joint Implementation (JI) programmes of the Framework Convention.22 Under JI, the industrial countries would (if the policy is ratified) be allowed to reduce carbon emissions to agreed national target levels either through investments in their own countries, or to claim 'credits' for carbon reductions that could be achieved more economically through investments in other countries. On account of the comparative cost advantage of using solar energy in developing countries, PV projects would be ideal candidates for finance under JI. The industrial countries could usefully begin by extending their demonstration programmes for grid-connected PVs to developing countries—and in doing so would also stimulate the development of the international markets.
17.4 Conclusions Economic policies towards the application of photovoltaics and the development of the industry have progressed considerably over the past two decades. Nevertheless, significant deficiencies remain, as much in structure as any other factor. Policies also vary greatly between countries. From an economic perspective, the following seem to me to be the best elements of the more progressive policies:
I wish to thank Katherine Kramer for this suggestion and our discussions about it.
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1. Competitive prices and efficiency in the regulation of electricity supply are sought. This should in principle force prices to reflect the marginal costs of supply at different times of the day, throughout the year and at different voltage levels. Given the high cost differentials between peak and off-peak demands, it should also encourage investments in a wide range of economically attractive, generally smallscale applications of PVs in the distribution networks and the development of storage technologies. It was noted that monopoly and poor price structures in electricity distribution are particularly difficult to avoid, and that their continuance could—and unfortunately generally does—pose a serious obstacle to PV applications. 2. Net metering is allowed, and is considered to be an essential requirement for an economically efficient industry. 3. Incentives for investments in PVs are based on the positive externalities of innovation. A method for estimating them was outlined above. They are linked to the rate of decline of costs (the slope of the 'learning curve') and estimates of the future use of the technologies. It was also argued that such incentives are best applied to the capital costs of PVs, for example in the form of accelerated depreciation or other such tax allowances, rather than to electricity tariffs. 4. A long-term strategy is developed based on educational programmes, RD&D and the investment incentives mentioned above in 1, 2 and 3. 5. National programmes are more outward-looking, and take advantage of the opportunities being opened up by export markets, and by such instruments of international economic co-operation on environmental issues as the Global Environment Facility and (if it is ratified) Joint Implementation. The above policies would not only lead to further innovation and reductions in PV costs, but to a more widespread use of a technology with immense promise from both economic and environmental perspectives.
Acknowledgement This paper was prepared when the author was a holder of an Economic and Social Research Council Fellowship under the Global Environmental Change Programme. He thanks the ESRC for their support.
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References Acker R. H. and Kammen D. M. (1996), 'The quiet (energy) revolution: analysing the dissemination of photovoltaic power systems in Kenya', Energy Policy 24, 8 1 111. Adamantiades A. G., Terrado E., Cabraal A. and Anderson D. (1998), 'The World Bank's Solar Initiative: a status report', Advances in Solar Energy, Vol. 12, Chapter 2, pp. 67-122, American Solar Energy Society, Boulder, Colorado. Ahmed K. (1994), Renewable Energy Technologies: a Review of the Status and Costs of Selected Technologies, World Bank Technical Paper No. 240, Energy Series, World Bank, Washington D.C. Anderson D. (1994), 'Cost-effectiveness in addressing the C0 2 problem, with special reference to the investments of the Global Environmental Facility', Annual Review of Energy and the Environment 19, 423-55. Anderson D. (1997), 'Renewable energy technology and policy for development', Annual Review of Energy and the Environment 22, 187-215 Arrow K. (1962), 'The economic implications of learning-by-doing', Review of Economic Studies 29, 155-73. Ashford L. (1998), MSc Dissertation on Photovoltaics in Zambia, T. H. Huxley School, Imperial College of Science and Technology, London. Bacon R. W. (1995), 'Privatization and reform in the global electricity industry', Annual Review of Energy and the Environment 20, 119-43. Bacon R. W. (1999), 'A scorecard for energy sector reform in developing countries', Energy and Development Report 1999, World Bank, Washington D.C. Baumol W. J. (1995), 'Environmental industries with substantial start-up costs as contributors to trade competitiveness', Annual Review of Energy and the Environment 20, 71-81. Byrne J., Letendre, S., Govindarajalu, C. and Wang, Y. D. (1996), 'Evaluating the economics of photovoltaics in demand-side management', Energy Policy 24, 177— 85. Cabraal A. and Cosgrove-Davis M. (1995), 'Best practices for photovoltaic household electrification programmes: lessons from experiences in selected countries', The Asia Alternative Energy Unit, World Bank, Washington D.C. Cody G. D. and Tiedje T. (1992), 'The potential for utility-scale photovoltaic technology in the developed world', in Energy and the Environment, Abeles B., Jacobson A. J. and Sheng P., eds., pp. 147-217, New Scientific, London/NJ.
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Feinstein C. D., Orans R. and Chapel S. W. (1997), 'The distributed utility: a new electric utility planning and pricing paradigm', Annual Review of Energy and the Environment 22, 155-185. Flavin C. and O'Meara M. (1998), 'Financing solar home systems in developing countries: examples of new market strategies', in Advances in Solar Energy, Vol. 12, Chapter 3, pp. 123-147, American Solar Energy Society, Boulder, Colorado. GEF (1997), Project Implementation Review, World Bank, Washington D.C. Hill R. (1998), 'Photovoltaics in the UK', Newcastle Photovoltaics Application Centre, see also Chapter 15 of the present volume. Hoff T. E., Wenger H. J. and Farmer B. K. (1996). 'Distributed generation: an alternative to electric utility investments in system capacity', Energy Policy 24, 137-47. IEA (1992), Projected Costs of Generating Electricity, OECD/ffiA, Paris. IEA (1997), Photovoltaic Power Systems in Selected IEA Member Countries: A Survey Report, Task 1, IEA PVPS EX.CoATI 1997:1, OECD/IEA, Paris. IEA (2000), Experience Curves for Energy Technology Policy, OECD/IEA, Paris. IPCC (1995), Contributions of Working Groups I, II and III to the Second Assessment Report (in three volumes), Cambridge University Press. Jennings Sir John (1995), Address to the 16th. World Energy Council Congress, Tokyo, Japan, 9 October 1995, Shell International pic, London. Johannson T. B., Kelly H., Reddy A. K. N. and Williams R. H. (1993), Renewable Energy, Island Press, Washington D.C. Miller D. (1998), 'Agents of sustainable technological change: the role of entrepreneurs in the diffusion of solar photovoltaic technology in the developing world', Ph.D. Thesis, Judge Institute of Management Studies, University of Cambridge. Myers N. and Kent J. (1998), Perverse Subsidies:Tax Dollars Undercutting our Economies and Environments Alike, International Institute for Sustainable Development, Manitoba. Nordmann T. (1998), 'Use of architectural structures for grid-connected photovoltaic installations in Europe', Advances in Solar Energy, Vol. 12, Chapter 8, pp. 321402, American Solar Energy Society, Boulder, Colorado. President's Committee of Advisers on Science and Technology (PCAST) (1997), Report to the President on Federal Energy Research and Development for the Challenges of the Twenty-First Century, PCAST, Washington D.C. Rannels J. E. (1998), 'The activities of the US Department of Energy to advance photovoltaic energy conversion', Advances in Solar Energy, Vol. 12, Chapter 4, pp. 149-186, American Solar Energy Society, Boulder, Colorado.
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Strong S. (1998), 'Photovoltaic systems in the built environment: a review of international technologies and applications', Advances in Solar Energy, Vol. 12, Chapter 7, pp. 285-320, American Solar Energy Society, Boulder, Colorado. Shepherd D. (1998), 'Creating a market for renewables: electricity policy options for developing countries', Draft: Climate Change Team, Environment Department, World Bank, 21 August. Shugar D. S. (1990), 'Photovoltaics in the utility distribution system: the evaluation of system and distributed benefits', Conf. Record 21st. IEEE Photovoltaic Specialists Conf, Kissimmee, IEEE Press, Piscataway, 836-843. Masashi T. (1997), MSc Dissertation, Centre for Environmental Technologies, T. H. Huxley School, Imperial College of Science and Technology, London. Tsuchiya H. (1992), 'Photovoltaics cost analysis based on the learning curve', Tokyo: Research Institute for Systems Technology. Turvey R. and Anderson D. (1977), Electricity Economics: Essays and Case Studies, Johns Hopkins University Press, Baltimore. UK Department of Trade and Industry (1997), The Energy Report: Shaping Change. Vol.1, DTI, London. van der Plas R. (1994), 'Solar energy answer to rural power in Africa', Finance and Private Development, No. 6, World Bank, Washington D.C. van Zee E. (1998), 'Will PV make residential areas the power stations of the 21st. century?', Renewable Energy World 1, 16-21. Watson R. T., Zinyowera M. and Moss R. H. (1996), 'Technologies, policies and measures for mitigating climate change', Inter-Governmental Panel on Climate Change, Technical Paper 1, UNEP/PNUE/OMM/WMO, United Nations. World Bank (1992), World Development Report: Development and the Environment, World Bank, Washington D.C. World Bank (1993), The World Bank's Role in the Electric Power Sector: a Policy Paper, World Bank, Washington D.C. World Bank (1996), Rural Energy and Development: Improving Energy Supplies for 2 Billion People, World Bank Best Practice Paper, World Bank, Washington D.C.
CHAPTER 18
THE OUTLOOK FOR PV IN THE 21st CENTURY ERIK H. LYSEN Utrecht University, Utrecht Centre for Energy Research, Padualaan 14, 3584 Utrecht, The Netherlands BEATRIZ YORDI Directorate-General for Energy and Transport, European Commission, 200 Rue de la Loi, BE-1049, Brussels, Belgium Energy is eternal delight. William Blake, The Marriage of Heaven and Hell, 1793.
18.1 The changing outlook for PV In the final decade of the twentieth century, the outlook for PV has changed dramatically: what was a marginal and exotic technology mainly for remote applications has become a key technology for generating distributed power in the built environment, with prospects of break-even with conventional grid power for residential consumers within two decades, i.e. around 2020. There has been a clear shift in emphasis, from primarily R&D in the eighties towards market development and implementation in the nineties, in both OECD and developing countries. PV has received a firm place in the national energy policies of a growing number of countries. For example, in the Renewable Energy White Paper of the European Union, the stated goal is to have 3000 MWP of PV systems installed in the EU by the year 2010 (EU, 1997a). The EU Campaign for Take-Off involves one million systems of 1 kWp each, of which 50% are to be installed in the EU and 50% in developing countries. In 1997, the US Department of Energy launched its '1 Million Solar Roofs in 2010' initiative. In 1998, Japan's MITI revised its PV target for 2010 upwards, to 5000 MWP installed. Japan also launched a new initiative for gigawatt-size PV systems to be installed in remote and desert areas, and this target is now embedded in the IEA-PVPS agreement (see Section 18.8). A growing number of organisations, institutions and multinationals have become actively involved in the promotion, development or manufacture of PV systems. Energy companies are joining hands with manufacturers, municipalities and funding
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agencies to realise ever larger projects, thereby gaining vital experience, mobilising public awareness and lowering prices. Large multinational companies have established separate business divisions for solar PV (Van der Veer, 1997). Meanwhile environmental groups are energetically promoting PV systems for applications in the built environment in an effort to break the circle of high costs and low demand. A manufacturing plant of 500 MWp capacity has been proposed to reduce PV panel costs by a factor of four, based on an earlier EU study (KPMG, 1999, and Bruton, et al, 1996). 160
1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 Year I Tola! Module Shipments
- % growth on previous year
Figure 18.1 The historic growth of the world market for PV and fluctuations in growth rates year by year. (Source: Impact Study, EC Study STR/1696/98, by Novem, ETSU and TUV, 1998).
Figure 18.1 shows the growth in the global market, and Fig. 18.2 growth by region. In 1997, the world's PV shipments crossed the 100 MWP mark for the first time: they jumped from 90 MW in 1996 to 126 MWp. In 1998, shipments further increased to 150 MWP and the provisional figure for 1999 shipments is just over 200 MWp. The PV market is now worth more than US$ 1 billion/year, and the PV industry expects this to grow to more than US$ 10 billion/year by 2010. The players include some of the world's largest companies: BP-Amoco, Shell, Siemens, Enron, Mitsubishi, Kyocera, Sanyo and Sharp. The total cumulative PV capacity installed
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worldwide is estimated at around 1000 MW p , of which 400 MW p is installed in IEA countries (PVPS-ISR, 1999).
:i :> 150 -
4
a Reslof world
100 -
>
50 -
Figure 18.2 World PV cell and module shipments from region by year to 1999. Source: PV NEWS Vol. 17, No 2,1998 and Vol 19. No. 3,2000.
18.2 PV and world energy supply In Chapter 17, Dennis Anderson outlined the huge long-term potential of PV for world energy supply: theoretically we can generate an amount of energy equal to the world's energy demand on less than 1% of the world's land area. Realising this potential will be a long and extremely complex endeavour, and of course PV does not have to power the world alone.' There are a range of other renewable energy sources, such as wind power and bio-energy, whose costs also continue to fall with expanding markets and continuing R&D, and it also seems that reserves of fossil fuels are larger than previously thought. As a result, the world energy supply in the twenty-first century will remain a mix of different energy sources, with a gradually increasing role for renewables, enabling a gradual transition to (ultimately) a fully renewable world energy system.
To provide 1% of the world electricity production (i.e. about 100 TWh), a PV capacity of roughly 100.000 MWp is required, assuming an average annual production of 1000 kWh/kWp. This is equivalent to 40 million solar roofs of 2.5 kWp each.
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On the other hand, there is a need for quick action: the expected climate change impacts of the emissions from burning fossil fuels urge a serious reduction of emissions, particularly of C0 2 , as outlined in the Kyoto protocol. This reduction can be realised by using all three elements of the so-called 'Trias Energica' approach of Lysen (1996): 1. Use energy much more efficiently. 2. Increase the use of renewable energy as much as possible. 3. Serve the remaining demand with 'clean' fossil fuels (by removing and storing carbon or CO2). In this orchestra of options, PV will at first play just a handful of notes in the background, but its contribution will steadily grow through various niche markets, and by providing a range of energy services, in our cities as well as in the most remote places on Earth. Although the contribution of PV to world energy supply will be modest for some time to come, its local role is important right now.
18.3 PV can play an impressive local role The important local role of PV is manifest both in developing and developed countries. For example, the success story of Solar Home Systems for rural areas in developing countries is based on the fact that a small PV system can provide two essential energy services, namely light at night and power for TV and radio, at a monthly cost comparable to the alternative option, which is kerosene lighting and frequent battery charging in nearby villages (World Bank, 1996). Having very efficient end-use equipment is the key to providing these services, to maximise the use of the precious 0.15 to 0.25 kWh a standard 50WP panel produces per day. An important conclusion from the fact that the service counts rather than the number of kWh, is that the cost per kWh (so important for grid-connected sources) is here irrelevant: the only thing that matters is the cost per month for the service to be paid by the household in question. In developed countries, a lot of enthusiasm is generated by the wide range of Building-Integrated PV (BIPV) applications, where the PV system is connected to the local distribution grid. As discussed in Chapter 15, PV panels have additional value here, because they serve as a roofing material, or a cladding material for building facades, avoiding the cost of possibly expensive materials such as marble. Let us have a closer look at the complex and interesting concept of energy services applied to different uses.
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Cities
Building-integrated solar energy is the most promising market in OECD countries, growing globally at a rate of 16.8% per year, and in Europe even faster, at 33 % per year. The avoidance of land occupation, integration of PV in the economy of the building, and the development of advanced construction building components, are
elements of the contribution of PV to new cities. The buildings of the 21st century will combine high technologies in better harmony with nature. The whole building will have an integrated energy concept in which materials, solar thermal gain and lighting elements are as important as aesthetics or function. This Aristotelian idea of
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science, always in equilibrium with the environment, reconciles the idea of progress with a sustainable world. As part of the ALTENER programme of the EU, the European BIPV market was estimated to be 620 GWP of potentially installable PV roof space (PV in 2010, 1996). In the work done by the Dutch KPMG bureau, the total surface area available in buildings in The Netherlands indicated a technical potential of 21,136 GWh provided annually by dwellings and non-residential buildings, which is more than two-thirds of the total domestic consumption in this country (KPMG, 1999). BIPV means that non-polluting energy can be supplied to the building. In Europe, 70% of the energy used is consumed in cities, and up to 40% is used in buildings. In today's conventional buildings, there is scope for a 50% reduction in both heat and electricity consumption. PV (as a cladding material or multifunctional facade or standard encapsulate), together with rational use of energy, could enormously reduce the conventional energy consumption of cities. Other forms of integration in cities, such as urban furniture, parking structures and noise barriers, are also important in this respect.
18.3.2 Rural areas Deployment of renewable energy sources can be a key feature of regional development and assists in achieving greater social and economic cohesion within a country. Grid extension, noise and pollution are avoided in PV projects. In both centralised and decentralised systems, adverse visual impact is also avoidable with sensitive design. Wood-clad structures for ground-mounted systems and appropriate building installations enable this silicon technology to be integrated into the countryside. Visual impact can be very low, because the geometry and modularity of PV is not far from the discrete lines of typical agriculture land. Renewable energy sources contribute not only to the quality of life of the users, but also to the development of a more self-sufficient community. The typical electrical loads of rural areas (pumps, lighting, refrigerators, milk machines ...) are beginning to change to other, less energy-intensive appliances (printers, PCs ...). PV can provide a flexible energy service that is adaptable to these different uses. The primitive link between man and land is an important protagonist in the introduction of PV in rural areas. Solar energy combines three factors that are of interest to farmers: ownership and use of land, sociological merit and harmony with nature. Farmers are used to depending on nature for harvesting, and to adapting their lives to nature. Taking account of the climate is not seen as a disadvantage by rural
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citizens, but as a sign of wisdom. This sociological aspect of renewable energy sources, especially PV and wind, has contributed to their success in the case of, for example, wind energy in Denmark. Land attachment, a feeling of proximity, control and even pride in the possession of wind generators, have all been crucial to the success of this programme. A good mix of market pull and technology push and a very favourable subsidy regime, together with a professional information campaign, were the basis for the success of this impressive industry. The current target of the Danish government is to have 20% of national electricity consumption provided by renewables before the end of 2003.
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18.3.3 Islands
Sifnos I s l a n d , Greece Greece has 3,000 islands scattered over the Aegean. O n Sifnos Island, m a x i m u m peak power demand is about 3 M W in summer because of the influx of tourists. The consumption pattern is typical of domestic appliances. Energy is generated with diesel sets, with consequent air pollution a n d noise. The cost of diesel-generated electricity is 9 0 Dr (0.28 EUR) per k W h , including transport. The national tariff, applied all over the country, is 20 Dr (0.06 EUR) per k W h , so the utility is losing 70 Dr per kWh generated with fuel o n Sifnos. A first-step PV demonstration project of 70 kW p with advanced inverter technology was commissioned in summer 1999.
Nearly the world over, islands normally present the following characteristics: • • • • • • •
protected nature. high energy consumption and population in summer time. dispersed population. lack of conventional energy sources. reliance on diesel energy generation with its environmental cost. increasing demand for energy. high insolation
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On many islands the cost of a locally generated kWh is high, and fairly close to that of PV-generated electricity. Islands provide a good example of the positive local impact that PV could have, but also of the importance of non-technical barriers in the energy arena. In the majority of the Mediterranean islands, PV is cost-effective, but the existence of a conventional centralised energy system and the rigidity of administrative procedures consign renewable energies to a marginal role. However, in the case of Guadeloupe Island in the Caribbean, favourable tariffs, tax relief measures and EU initiatives have led to 30% of total energy consumption served by renewable energy sources.
18.4 18.4.1
The ultimate PV system The solar cell
No one knows what the 'ultimate' solar cell of the future will look like. The workhorse of today, the reliable crystalline silicon solar cell, is still doing surprisingly well, with a continuously improving performance/price ratio. This is due to a better understanding of mechanisms such as light confinement, passivation and optimal metallisation, and also to better production technologies and the progressive scale-up of production facilities. The present world-wide investments in new manufacturing capacity indicate that crystalline silicon cells will dominate the PV scene for some time to come. The earlier chapters in this book describe the present status of research and indicate the future prospects of the different PV materials and technologies. Most experts agree, though, that in future some kind of thin-film cell will be the winner, whether that material is thin-film silicon, amorphous silicon, an organic material, CIS or something else. There may well be not just one winner, since different types of cells may be most suited for different applications (compare the 'Otto' and the 'Diesel' options for internal combustion engines). Some firms are preparing for the production of cells on a roll-to-roll basis, deposited on a flexible carrier material such as photographic film; others dream of a future 'PV paint' that can simply be applied to walls and roofs and produce electricity. It is clear that the ultimate cell should be cheap and produced as sustainably as possible. The material used, including that for assembly into solar modules, should be easily recyclable after its useful life, and the energy used in production should be as low as possible.
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18.4.2 The balance of system (BOS) Apart from the solar modules, a PV system usually consists of a frame, an inverter (if grid-coupled, otherwise a battery and controller) and wiring. In cost terms, the installation is also part of the BOS costs. When talking about the cost reduction of PV energy, one normally describes the perspectives, scenarios and challenges for the PV module. This is certainly a myopic point of view: the BOS cost is responsible for close to 50% of the cost of the system, and 80% of system failures arise in BOS components rather than in the PV modules themselves. PV modules produce direct current (DC) and are usually connected to central inverters, which produce alternating current (AC) and are connected to the grid. When each PV module is equipped with an inverter mounted directly at the back of the module itself, it is called an AC module, usually with a capacity of 100-200 Wp. This type of technology avoids DC losses in transmission and is highly reliable. Inverter technologies have moved ahead rapidly in recent years, and thyristor-based designs are now largely being overtaken by new designs based on transistor technologies, currently in a cost range of 0.4-0.8 EUR/WP. These combine the advantages of simple grid connection with high efficiency at partial load. In the next two years, the cost of transistor-based inverters is predicted to fall by 20-30%. Further reduction of the cost of power electronics will come from a significant up-scaling of the market. A lot of effort must be put into the standardisation of power control units and reduction of the number of different inverter designs (standardisation instead of 'customisation'). The close association of the PV industry with the building industry should result in PV building products that can benefit from the standardisation of construction methods. Cladding elements, pre-fabricated building integration arrays, facades made of multifunctional modules with air circulation and thermal and acoustic qualities, multipurpose building elements of glass-glass layers with cells of different shapes suited to architectural design will all be introduced. National and international policies should facilitate the development and standardisation of BOS components, working together with a growing number of small and medium-sized enterprises and with new PV participants. A subject linked with BOS is the grid connection procedure: grid connection is still problematic and slow in the majority of countries. Procedures are not clear, connection schemes are not appropriate for PV energy, and tariffs are not always favourable. Planning and maintenance of the BOS are as important as the quality of components. Good performance ratio and highest output will be achieved only if quality applies to the whole system. Quality control, good system specification, planned installation, clear O&M schemes, appropriate involvement of users and
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owners and so forth, are as important as the efficiency of inverters or the module guarantee. In the phase into which the PV market is now moving, between pioneering and mass acceptance, quality plays a crucial role. In this regard, the European Union and the PV industry are working together to implement a guarantee of energy output for PV installations, which is an important way of increasing quality in the short term and reducing costs in the medium term. Imagination is needed to open PV to other participants: enormous synergies are possible if the PV industry works together not only with construction companies but also with the sound barriers industry, with municipalities, urban planners, utilities—a dramatic increase of the market will come to pass through such oxygenation.
18.5
Market development
18.5.1 OECD countries A few years ago, it was believed that the most promising application for PV in OECD countries would be large, megawatt-sized grid-feeding plants installed by electricity companies in countries with good solar regimes. However, rapid developments in the area of PV building integration in countries at higher latitudes, such as Germany, Switzerland and The Netherlands, and the growing interest in PV of architects, project developers, governments, utilities and environmental groups in these countries, have brought about a marked change: Building-integrated PV (BIPV) systems now represent the fastest growing application of PV in OECD countries. It is becoming clear that PV systems have much added value, beyond the electricity they supply. They improve the aesthetics of buildings, replace traditional building material, enhance the local power quality, defer investments in upgrading the power network, create job opportunities and bring energy services to remote inhabitants (PVPS-Venice, 1999). A phenomenon of the nineties has been the trend of passing from a centralised conventional system of energy production to a decentralised network. The energy structure is beginning to be guided by this new paradigm: speed, networking and control are acquiring greater importance than intensive production. The risk of relying on a fluctuating power supply such PV or wind is being reduced by electronic controls and the better matching of supply and consumption. The trend towards decentralisation will continue in the 21st century: an electronic network diminishes the importance of production and increases the importance of tele-management and
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Amersfoort, The N e t h e r l a n d s Amsersfoort in The Netherlands was the home of the largest dispersed building-integrated PV project in the world in 1999. In this project, 12,000 m 2 of solar PV modules with a total capacity of 1.3 MW p were installed o n 5 0 0 domestic roofs and some larger buildings by the REMU Energy Company. Photograph by Jan van Eijken, courtesy of REMU.
data processing. An intelligent power system drawing on decentralised, non-polluting energy sources will probably be the concept of this new century. A change of mentality is one of the pre-conditions for integrating renewable energy sources into energy systems. To move from large centralised power stations to decentralised small systems requires much more than a technical change, but the potential is there. A study by Institut Cerda and ETSU shows that, in European cities,
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50% of energy supply could come from PV (EC, 1998). The market study of PV in buildings in the UK, carried out by the Newcastle Photovoltaics Applications Centre for ETSU (ETSU, 1992), found that the technical potential of PV equated to twothirds of UK electricity demand. Adding possible economies of scale and the prospects of technology step changes into cost considerations, it is predicted that PV manufacturing facilities with a production capacity of between 50 and 100 MWP per year for thin films and 500 MWP for c-Si technologies will be able to lower their production costs considerably. Feasibility studies have indicated costs of US$ 1.05 per Wp (Bruton, 1997) and US$ 1.40 per Wp (Maycock, 1999) for such large-scale production facilities. Liberalised markets are beginning to price the external benefit of renewable energy sources. Internalisation of environmental costs could be the aurea mediocritas that will make a liberalised market compatible with Kyoto objectives. Competition requires market players to innovate to remain competitive. Innovation leads not only to lower prices, but also to a better use of energy sources. Liberalisation does not mean that the market is sole king; energy policies are still needed. Both imperatives (liberalisation and public policy) can and do co-exist.
18.5.2 Developing countries Conventional rural electrification is usually of little interest for power utilities in developing countries because of the high cost of power lines and the comparatively small sales of electricity. This is why PV Solar Home Systems powering highefficiency lamps and radio/TV sets provide an increasingly important electrification alternative for rural households, even at present cost levels. This is because (a) the alternatives, kerosene lights or batteries, are of comparable cost or more expensive than PV, at US$ 6-12 per month, and (b) the PV system provides a better quality (electric) light and safer supply. As we noted in Section 18.3, the monthly cost for the service of having electricity is the relevant parameter, and not the cost per kWh. Major barriers to the widespread introduction of Solar Home Systems vary from country to country, but usually include: providing acceptable financing, organising installation and after-sales service, assuring technical quality through national standards, and providing and distributing proper information. Overcoming these barriers is the essence of the PV initiatives of, for example, the World Bank, the International Finance Corporation and the Global Environment Facility, as well as the work of the United Nations Development Programme. Work under Task IX of the IEA-PVPS agreement (www.iea.org/tech/pvps/home.htm) supports these multilateral
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agencies in the areas of quality assurance and the provision of proper information. The PV Global Approval Programme PV-GAP, initiated by Peter Varadi in close cooperation with the International Electrical Committee (IEC) and the World Bank, aims at providing a clear set of standards for PV systems in developing country projects (PV GAP, 1998).
18.6 Barriers to the introduction of PV Major barriers to the widespread introduction of PV vary from country to country, but usually include the difficulties of providing acceptable financing, organising installation and after-sales service, assuring technical quality through national standards, and providing and distributing appropriate information. Actions to avoid these barriers include • • • •
Entering other markets than the classical niche ones, and looking for new partners. Transfer of technology, using demonstration projects, combining innovation with social impact. The harmonisation of electrical tariff systems and the formulation of official targets for renewables. The fostering of a stable political climate.
PV is practically the only renewable energy source that can produce electricity in cities. However, this immediate advantage—the adaptability of PV to buildings— requires awareness on the part of construction companies, architects and city managers that does not exist at present. A big effort must be made to send the right messages to the building sector. Bearing in mind the need of a framework: to overcome barriers and establish a stable context for PV, the European Commission is currently preparing a Directive as an important part of the Community strategy to further expand the share of electricity generated from renewable energy sources in the EU. This is an important step towards the meeting of the EU's climate change commitments, set and accepted at Kyoto. The objective underlying this draft Directive is to facilitate a significant mediumterm increase in renewable generated electricity ('RES-E') within the EU. To achieve this goal, the Directive proposes the following:
The Outlook for PV in the 21st Century • •
•
• • • •
785
All Member States should introduce a system for the certification of the origin ofRES-E. All Member States should adopt domestic targets for RES-E consumption levels on an annual basis for periods of 10 years. This measure seeks to produce a critical mass across the EU. Discrimination in favour of domestic and subsidised RES-E could last until these RES-E reach 5% of domestic electricity consumption or, at latest, 10 years from the entry into force of the Directive. This measure will provide for a certain degree of competition between RES-E producers in different countries. Member States must also consider the measures to be taken to facilitate access to the grid system. Connection costs of renewable generators should be borne by the grid operator. The administrative and planning procedures that potential generators must follow should be simplified. Member States should ensure that benefits such as avoided systems losses will be reflected in the relevant tariff system.
Two basically different support mechanisms for renewable energy sources exist within the EU: quota-based systems, operating in the UK, Ireland, The Netherlands and Denmark, are based on setting the price for electricity supplied through competition between RES-E generators for available support. Two different quotabased mechanisms presently operate: green certificates and tendering schemes. Fixedprice schemes, operating in Germany and Spain, are characterised by a specific price for RES-E that must be paid by electricity companies, usually distributors, to residential producers of RES-E. The PV industry needs a stable political climate for continuous and sustainable growth. Rapid changes in subsidy levels and conditions, or in political priorities, can seriously harm stable growth. Important positive signals in this respect are given by, for example, the European Union. In the EU's 5th Framework programme, which started in 1999, the Research & Technology Development (RTD) objectives treat renewable energy sources, particularly PV, biomass and wind, as a priority. About 100 million EUR was devoted to renewable energy sources under this programme in 1999. Effective partnerships between the PV industry, the building sector, local government, financial institutions and energy utilities should be set up in order to develop common strategies and action plans to overcome technical and non-technical barriers.
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Stable relationships between suppliers, users, and promoters are crucial for the sustainable development of the market. These can only be built up over long periods of time and by the establishment of good reputation and track records. Over-rapid market growth, based on subsidies and without adequate quality standards, results in short-lived companies, technology failures and consequent loss of public confidence. Once this occurs, recovery of the market is hard. This has been the experience of solar thermal technology in the South of Europe. In Italy, for example, the sales of solar water heaters dropped 50% in just two years, between 1980 to 1982 (Sun in Action, 1996). Capital co-financing is very important in the initial period, but it should not be the only mechanism of PV support. Mechanisms for paying premium rates for RES-E should be adopted in every country in order to stimulate demand and accelerate the transition of PV from a pioneering to a commercial business. Germany has recently provided an example in a far-reaching Renewable Energy Act. From 1 January 2000, the owners of grid-connected PV systems will be reimbursed with 99 Pfennig (DM 0.99 or Euro 0.51) per kWh generated, during the lifetime of the PV installation (which would typically cost between DM 0.9 and 1.35 per kWh). The following year the subsidy will be reduced by 5%, until a total installed capacity of 350 MWP is reached (at the end of 1999, the total installed capacity in Germany was 40 MWP). Together with Germany's 100,000 roof programme, this will be a powerful incentive to boost PV installation in the country.
18.7 Costs PV costs are decreasing by 5-10% per year. At the time of writing (early 2000), module prices are in the range 3-4 US$/Wp, and complete systems are installed for prices in the range 5-10 US$/Wp, depending on size and type. With a typical annual output between 750 and 1500 kWh per kWp installed, this translates into a kWh cost range of 0.25-1.00 US$/kWh. The steady increase in manufacturing capacity, and the continuing worldwide RD&D efforts, enable fairly reliable predictions for future costs of 2-3 US$/Wp in 2010. Ultimate 'floor-level' system costs are expected to be around 1 US$/Wp, with kWh costs between 0.03 and 0.08 US$/kWh. According to the EU study 'MUSIC FM' (Bruton et aL, 1996), to which we have already alluded, the necessary price reduction for PV modules of more than a factor of four could be achieved by scaling up production by a factor of 25 compared with today's largest plants, into a plant with a production capacity of 500 MWp/year.
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18.8 International co-operation Photovoltaics is an area, like many other technology areas, in which many nationally oriented efforts prevail, and in which national pride and national interests are still important. At the same time, more and more people recognise that international cooperation can be much more effective in many instances, and is sometimes a necessity given the large investments required. Initiatives such as the Framework programmes of the European Commission help in stimulating international co-operation in research and demonstration. In the development of recommended practices for energy systems, the International Energy Agency agreements between OECD member countries have also played an important role. For example, in the case of wind energy the IEA-recommended practices on how to measure the output of wind turbines were an important boost for industry to develop their products in the early eighties, and were a forerunner of present-day standards. Since 1993, twenty OECD countries and the European Commission (DG XII and XVII) have collaborated in carrying out activities in the area of Photovoltaic Power Systems (PVPS) under the IEA's umbrella. The participating countries are Australia, Austria, Canada, Denmark, Finland, France, Germany, Israel, Italy, Japan, Korea, Mexico, The Netherlands, Norway, Portugal, Spain, Sweden, Switzerland, the UK and the USA. The mission of the IEA-PVPS Agreement is "to enhance the international collaboration efforts through which photovoltaic solar energy becomes a significant energy option in the near future". This applies particularly to OECD countries, but also to non-OECD countries including developing countries. The PVPS Agreement addresses the following priorities: • • • •
Helping towards reduction in the cost of PV applications. Increase in awareness of PV potential and value. Fostering the market deployment of PV by removing non-technical barriers. Enhancement of transfer of knowledge of PV to developing countries.
An overview of the national PV programmes of the participating countries are reported every year in the PVPS Annual Report (www.iea.org/tech/pvps/home.htm), whereas trends in PV installed capacity, prices, industry growth and policy issues are reported in the International Survey Report, produced every year (PVPS-ISR, 1999). For example: the latest ISR indicates that, in the period 1992-1998, the installed PV capacity in the reporting IEA countries increased at an average rate of over 25% per year. The cumulative power installed was 392 MWP, with over 80 MWp installed in
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1998, and the proportion of on-grid PV power increased from 30% in 1992 to 46% in 1998. The total budget for market stimulation, demonstration and R&D in the reporting countries increased from US$ 350 million in 1997 to US$ 458 million in 1998. There is a marked increase in the proportion of the budget for market stimulation: from 18% in 1994 to 47% in 1998. A large number of new initiatives were reported, including an increasing number of green electricity schemes, net metering, specific tariffs for PV and government grants for installations. Utilities in the reporting countries are also showing an increasing interest in PV. Apart from the IEA co-operation described above, it is becoming clear that cooperation among PV industries is a necessity, as well as closer co-operation between industries, building companies, utilities and local governments. PV industries have joined in industry associations in Europe, Japan and the USA. Mergers, such as those between Siemens and Arco, and BP Solar and Solarex, have occurred in the past and, given the quickly rising demand for PV and the required investments, it is probable that further mergers will occur in the near future.
18.9 The future of PV The rapid increase in worldwide shipments of PV, the steep growth in manufacturing capacity and the currently positive political climate offer good prospects for the future of PV, but at the same time carry some risks. PV should not be charged with the sole responsibility of solving the climate problem, and, despite its massive long-term energy potential, it does not (yet) have to power the world alone. The PV industry needs a stable political climate for continuous and sustainable growth, in both the old and the new senses of the word 'sustainable'. Rapid changes in subsidy levels and conditions, or in political attitudes, can seriously harm stable growth. In the past there were essentially only three sectors involved in the PV arena: government, the PV industry and the utilities. In recent years, three new sectors have become increasingly active: regional and local governments (municipalities), the building sector (architects, project developers, urban planners) and, last but not least, the financing institutions (banks, bilateral and multilateral agencies). Proper collaboration between these 'old' and 'new' sectors is a necessity to promote PV in a wide range of applications. This collaboration can take the form of joint ventures, or through covenants or agreements between the parties. PV energy is an indigenous energy source, and can therefore contribute to reducing dependence on energy imports and increasing security of supply. Development of solar energy can actively contribute to job creation, mainly in small and
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medium-sized enterprises. Deployment of PV can be a key feature in regional development with the aim of achieving greater social and economic benefits. Proper but temporary financial mechanisms (green pricing, base-rate incentives ...) should be implemented in the current transitional market. The expected growth in energy consumption in many third-world countries in Asia, Latin America and Africa offers a great opportunity for solar energy. The modular character of most renewable technologies allows gradual implementation, which is easier to finance and allows rapid scale-up where required. If one adds its growing local roles to the very large long-term potential of PV, and recognises the time it takes before a major new energy technology matures, it is fully justified that governments support programmes to develop and demonstrate PV technologies. In conclusion, it is our view that the future of PV looks bright, if stable growth of the industry can be sustained, proper co-operation can be agreed between the growing number of players involved in the PV arena, and reliable but temporary financial support mechanisms are implemented.
References Bouwmeester H. (1999), Building Solar Suburbs: Renewable Energy in a Sustainable City, REMU, Utrecht 1999. Bruton T. M., Woodcock J. M., Roy K., Garrard B., Alonso J., Nijs J., Rauber A., Vallera A., Schade H., Alsema E., Hill R. and Dimmler B. (1996), Multi-Megawatt Scale-up of Silicon and Thin-Film Solar Cell and Module Manufacturing (MUSIC-FM), APAS RENA CT94 0008, European Union, Brussels, 1996. EC (1998), Thermie B STR-732-96, European Commission. ETSU (1992), The Potential Generating Capacity ofPV-Clad Buildings in the UK. EU (1996), Photovoltaics in 2010, Directorate-General for Energy, EPIA, ALTENER Programme, European Commission, Brussels and Luxemburg, 1996. EU (1997a), Energy for the Future: Renewable Sources of Energy, White Paper for a Community Strategy and Acton Plan, European Commission, Brussels, 1997. EU (1997b), Photovoltaic Solar Energy. Best Practice Stories, Directorate General for Energy, THERMIE, Brussels, June 1997. KPMG (1999), Solar Energy: from Eternal Promise to Competitive Alternative (a study for Greenpeace Netherlands), KPMG Office for Economic Argumentation, Hoofddorp, Netherlands, July 1999.
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Lysen E. H. (1996), 'The Trias Energica: solar energy strategies for developing countries', Proc. Eurosun Conf. 1996, Freiburg, Germany. OECD (1997), Energy Technologies for the 21st. Century, OECD/IEA, Paris, 1997. PV in 2010 (1996), Photovoltaics in 2010, ISBN 92-827-5347-6, Brussels, 1996. PV-GAP (1998), Global Approval Program for Photovoltaics (PV GAP), Reference Manual, code no. PV GAP 01, c/o IEC, Central Office, Geneva, Switzerland. PVPS-ISR (1999), Trends in Photovoltaic Applications in Selected IEA Countries between 1992 and 1998, IEA-PVPS Programme, Report 1-07:1999. PVPS-Venice (1999), // Valore del Sole, Report on the IEA Third Executive Conference on PV Power Systems, Venice, Italy, 3-5 November 1999; IEA, Paris. Sun in Action (1996), Sun in Action, ALTENER programme, European Commission, Brussels, 1996 Van der Veer J. (1997), 'Bringing together the Group's activities in solar power, biomass and forestry', Shell International Renewables, London, October 1997. World Bank (1996), Rural Energy and Development: Improving the Energy Supplies for Two Billion People, The World Bank, Washington D.C., 1996.
APPENDIX I Fundamental Constants Quantity Speed of light in vacuum Planck constant Boltzmann constant Permittivity of vacuum Unsigned charge on an electron Stefan-Boltzmann constant
Symbol c h k ea q a™
791
Value 2.998 6.626 1.3807 8.854 1.602 5.6705
x x x x x x
108 ms-' 10"34 J s 10"23 JK- 1 lO"12 F"1 m-1 10"" C 10- 8 Wm- 2 K^
792
Appendices
APPENDIX II Useful Quantities and Conversion Factors 1 eV= 1.6022 x 10 19 J = 96.488 kJ mol"1 = 8065.6 crrr1 = 2.4180 x 10H Hz 1 cm-' = 1.9864 x 10'23 J = 11.963 J mor 1 = 0.12398 meV = 2.9979 * 10 lo Hz 1239.8/(X/nm)=i//eV /trat 298.15 K = 0.02569 eV kTlq at 298.15 K = 0.02569 V (In 1G)kTlq at 298.15 K = 0.05915 V hl2n = 6.582 x 10 1 6 eVs 1 kWh = 3.6 x 106J 1 thermochemical calorie = 4.184 J 1 horse power = 0.7457 kW 1 atm = 1.01325 x 105 Pa 1 torr= 1/760 atm l A = lO^cm 1 mile= 1.6093 km 1 hectare = 10~2 km2 = 2.471 acre = 3.861 x io 3 mile2 1 acre = 4.047 x 10 3 km 2 = 0.4047 hectare = 1.5626 x 10 3 mile2 1 litre = 1 dm3 = 0.26417 US gallon = 0.21997 UK gallon 1 lb = 0.45359 kg 1 tonne (1 metric ton) = 103 kg 1 ton (UK) = 1 long ton (US) =1.0160 tonne 1 ton (US) = 1 short ton (US) = 0.90718 tonne
Appendices
APPENDIX III List of Symbols Symbol a A Ae Ah
eV eV mol dirf3
Ci
D D(U) D, DtJ, E0S Ei
EE £ EQV
Preferred Unit
RH
cm"3 eV"1 cm2 s"1 2
-1
cm s 2 Wm" W m"2 nm Wm"2 Vm"1 V vs. ref.
£°
V vs. ref
E°'
V vs. ref
8 G
Hw
cnr 3 s"1 or m~3 s"1 eV molecule"1 or kJ mol"1 eV molecule"1 or kJ mol"' m m eV molecule"1
i
mA cm"2
H H Hp.n
Description absorptance (absorptivity) electron acceptor electron affinity hole affinity molar concentration of species i electron donor density of electronic states of energy U diffusion coefficient of species /' diffusion coefficient of electron or hole solar irradiance spectral irradiance per unit wavelength solar constant: annual average normal solar irradiancejust outside the Earth's atmosphere electric field strength electrode potential for the reaction Ox + ne~ ** Rd vs. reference electrode standard electrode potential (based on activities) formal electrode potential (based on concentrations) volume rate of generation of excited states Gibbs free energy enthalpy cell width width of the p or n layer electronic coupling matrix element between reactant (R) and product (P) states current density
794
Appendices
Symbol
Preferred Unit mA cm"2 raA cm"2 mA cm"2 A photons trr2 s_l photons nr 2 s"' photons m"2 s"' photons trr2 s"1
l
ph
h 'o
/ Jph
J; Js°
A k
C
m 6 s"'
*TA
m s
kT
m3 s"1 s"1 s-1 m
Kir
K K*
m W irf2 sr 1 W m 2 sr 1 nrrr
L
W
ml
kg Wm"2 Wm"2 cnr 3 or m"3
n° nr WA, No Nc, K
cm"3 or m"3
m*e,
M Ms n
cm"3 or m"3 cm"3 or m"3
Description photocurrent density junction (dark) current density reverse-bias saturation current density current flux of photons with X < Xg incident flux of solar photons with X < X incident solar photon flux of all wavelengths spectral photon flux with respect to wavelength wave vector band-to-band Auger recombination rate constant for the conduction or valence band trap-assisted Auger recombination rate constant for the conduction or valence band Shockley-Hall-Reed trap recombination rate constant for an electron or hole rate constant for nonradiative decay rate constant for radiative decay minority carrier diffusion length of an electron or hole minority carrier drift length of an electron or hole radiance spectral radiance with respect to wavelength effective mass of an electron or hole radiant emittance radiant emittance of the Sun electron concentration in the conduction band of a semiconductor equilibrium electron concentration refractive index density of acceptor or donor impurities effective density of states in conduction or valence band
795
ices
Symbol
Preferred Unit
P P
atm or Pa cm"3 or m"3
P° P
cnr 3 or m-3 W cm"2 or W m"2 C m cm"3 s"1 or m"3 s"' 1
Q Qp. Q„ r r
x R
n
*u
CI square '
*L
Q,
SfSh
m s"'
T T
K
«*>"*
y,h
cm2 s"1 V"1 cm s"1 eV molecule"1 or kJ mol ' eV eV molecule"1 or kJ mol"1 m3 V V V V
a <\
cm"1 or m"' cm"1 or m '
"c
u
u* u, U
*
V V y,
vt
P s e
oP
Description pressure hole concentration in the valence band of a semiconductor equilibrium hole concentration power density electrical charge width of the p- or w-layer quasineutral region volume rate of recombination of excited states reflectivity at wavelength X resistance sheet resistance load resistance surface recombination velocity for an electron or hole absolute temperature transmittance (transmissivity) electron or hole mobility drift speed in electric field strength £ internal energy conduction or valence band-edge energy band-gap energy or minimum energy for electronic excitation volume voltage band-bending potential equilibrium band-bending potential thermal voltage (fi)kTlq (= 0.02569 V for P = 1 and 25 C) optical absorption coefficient optical absorption coefficient at wavelength X diode ideality factor emissivity optical dielectric constant (eop = nr2)
796
Symbol
Appendices
Preferred Unit
es V Imp
K
X
K /*, p, juF or Ur
K'h V V
P p V
A^sc, $ X
w fi
nm nra eV molecule"1 eV molecule"1 eV eV Hz crrr1 Ccm"3 Q cm V V V eV V V steradian (sr)
Description static dielectric constant power conversion efficiency power conversion efficiency at maximum power quantum mechanical transmission coefficient wavelength band-gap wavelength chemical potential of species / electrochemical potential of species i Fermi level quasi-Fermi level of an electron or hole frequency wavenumber space-charge density electrical resistivity inner electric potential (Galvani potential) quantum yield barrier potential space-charge layer potential drop work function surface (dipole) electric potential outer (Volta) electric potential solid angle
ices
797
APPENDIX IV Acronyms and Abbreviations AM BIPV BOS BSF cb CBE CLEFT CVD CZ DN Dk ECU EFG EQE EUR fb FZ G IQE Lt LCL LGBC LOLP LPE MBE MIS MOCVD mp MS oc Ox
Air Mass Building Integrated Photovoltaics Balance Of System Back-Surface Field (as a superscript or subscript) conduction band Chemical Beam Epitaxy Cleavage of Lateral Epitaxial Films for Transfer Chemical Vapour Deposition Czochralski (method of crystal growth) Direct Normal (irradiance) (as a superscript or subscript) in the dark European Currency Unit Edge-defined fFilm-fed Growth External Quantum Efficiency Euro (1 EUR = 1 ECU « US$ 0.96) (as a superscript or subscript) flat band Float Zone (method of crystal growth) Global (irradiance) Internal Quantum Efficiency (as a superscript or subscript) in the light Lateral Conduction Layer Laser-Grooved Buried-Contact Loss-Of-Load Probability Liquid Phase Epitaxy Molecular Beam Epitaxy Metal|Insulator Semiconductor (junction or device) Metal Organic Chemical Vapour Deposition (as a superscript or subscript) maximum power Metal|Semiconductor (junction or device) (as a superscript or subscript) open circuit Oxidant
798
PTC
PV QNR RAPS Rd sc sc 1 SHE SIS ss STC TCO TPV vb Wp
Appendices Practical Test Conditions (for cell efficiency measurements): planeof-array irradiance 1000 W trr2 AM1.5G, ambient temperature 25 C, wind speed air 1 m s_l) photovoltaic quasi-neutral region Remote Area Power Supplies Reductant (as a superscript or subscript) short circuit (as a superscript or subscript) Standard Hydrogen Electrode Semiconductor! Insulator|Semiconductor junction (as a superscript or subscript) surface state Standard Test Conditions (for cell efficiency measurements): planeof-array irradiance AM1.5G 1000 W m 2, cell temperature 25±'/2 C Transparent Conducting Oxide Thermophotovoltaic (as a subscript or superscript) valence band peak watts
INDEX absorption coefficient 309 layers 116,252-6 photon energies 24 preparation techniques 287-99 recombination 311,313-15 spectra 458 AC modules 6 9 2 ^ activated cells 256-9 activated excitons 400-1 activation energies 320-1, 327-8 advanced multijunction single-crystal cells 602-3 air annealing 296-7 Air Mass Zero (AMO) spectrum 591 Al/GaAs/Si monolithic two-junction cells 359 ALE see atomic layer epitaxy AlGaAs/GaAS two-junction cells 355 AlGaAs/GaAs/InGaAsP/InGaAs four-junction cells 362 alkaline batteries 631-2, 647-52 alloyed-aluminium back-surface field approach 157-8 alloys 203, 206, 506-11 ALTENER programme 776 aluminium gallium arsenide based cells see AlGaAs... American future targets 771 manufacturers 718-26 Amersfoort, Netherlands 782 AMO see Air Mass Zero AMONIX concentrator array 571-2 amorphous silicon (a-Si) 205-6, 725 built-in potential 212 solar cells 199-237,605 surface passivation 182 amorphous silicon carbon hydrogen (a-SiC:H) 203, 206 amorphous silicon germanium hydrogen (a-SiGe:H) 203, 206 amorphous silicon hydrogen (a-Si:H) 206-7 energy-band diagrams 211-12
799
800
solar cells 202-3 Anderson, D 741-66 Angewandte Solarenergie (ASE) 720, 723 angular acceptance 564 ANTEC GmbH 265-6 anthracene organic devices 394-5 anti-reflective coatings (ARC) 106-7 apertures, concentrators 564 applications of photovoltaics 671-711 aqueous flow batteries 652-5 ARC see anti-reflective coatings architectural values 753-4 arrays 672, 683-711 see also solar... Artenius plots 320-1 ASE see Angewandte Solarenergie Astropower 720, 722 atomic displacement 588 atomic layer epitaxy (ALE) 255-6 atomic oxygen (ATOX) 588-90 Auger coefficient 109 limited recombination current 94 recombination model 57-8 Australian manufacturers 718-26 autonomous systems 699-701 azimuth angles 686-7 back contact structures 259-60 back-point-contact cells 544, 554-6 back-surface field approach 154, 157-8 back-surface optical reflectors 495-6 backside contacts 138-9 balance of system (BOS) 12, 689-90, 707, 780-3 band discontinuities 307-8 band models, organic devices 389 band-bending energy 17-18 band-gap energies a-Si:H modules 203-6, 211-12 a-SiC:H 203, 206
Index
a-SiGe:H 203, 206 absorption layers 116 CdS/CdTe heterojunctions 249-51 CdTe cells 246-7 Cu(In,Ga)Se2 280-1,296-7, 306-8, 327 diagrams 392, 413 direct 246-7 effective 458 heterojunctions 249-51, 327 levels 453-5, 458 structures 17-19, 24-5 thermophotovoltaics 483-8, 490-502, 505 window layers 117 band-gap narrowing (BGN) 119 band-gap states 213 band-pass filters 491-2,494-5 Bardeen barrier 27,298 barrier layer cells 5 base Gummel number 115 base paths 540 base resistivity 551-2 batteries 12,618,631-61 BGN see band-gap narrowing bifacial cells 181 bilayer co-evaporation processes 290 bipolar filter presses 621-3 bipolarons 388-9 BIPV see Building-Integrated Photovoltaics black non-radiating cells 155 blackbody radiation 486-9, 501 Block I/II purchases 156 body-mounted arrays 597-8 Boeing co-evaporation process 290 Bond, J., World Bank 727 bonding of conjugated semiconductor materials 384-6 Bonnet, D. 245-69 BOS see balance of system boundary conditions 65 BP Solar 715
802 BP Solarex CdTe cells 265 concentrator cells 578 industry 226-7, 715, 720-1 tandem structures 223-4, 228, 234 broadband radiators 486-8, 501 buffer interface recombination 311-14 buffer layer deposition 300-1 Building-Integrated Photovoltaic (BIPV) systems 698-704, 708-9 future targets 774-6, 781 built-in potential 41, 212 bulk of the cell 121 bulk defects, activation energy 327-8 bulk recombination 121-35 buried contacts 135-6, 158, 177-8 buried homojunctions 25, 27 busbar paths 540, 542 business, manufacturers and markets 713-37 bypass diodes 684 C60 heterojunctions 416-19 C60-sensitised polymer photodiodes 421-2 cabling, photovoltaic arrays 694 cadmium stannate (CTO) 492^1, 496 cadmium sulphide (CdS) cells 7, 249,251-61 cadmium telluride (CdTe) cells 8-9, 245-69, 725 absorber layers 252-6 back contacts 259-60 direct energy band gaps 246-7 module production 262-4 phase diagrams 247 Canada Centre for Mineralogy and Energy Technology 267-8 Canon 724 capacitors 662-3 capacity of lead/acid batteries 641-2 capital costs 757-60, 763^1 carbon-based hydrogen storage 628-9 carbon-nanotubes (CNTs) 629 carbonyl groups 400 Carlson, D. E. 7, 199-237
Index
carrier concentrations 51-2, 212-13 carrier density solutions 44, 47-52 carrier pair generation 461 carrier profiles 553 carrier recombination 124-6 cat's whisker diodes 151-2 CBD see chemical bath deposition CdS/CdTe, heterojunctions 249-51, 256-9 cells see also solar cells activation 256-9 backside contacts 138-9 barrier layer 5 batteries 12,618,631-61 bifacial 181 bus 541-3 c-Si6-7, 15-16 candidate materials 355-66 CdS 7,249, 251-61 CdTe 8-9, 245-69, 725 concentrator 475, 529-78, 687 construction 2, 673 cost studies 178-80 crystalline 604, 673, 676-82 design 91-140, 162-3 discretisation volumes 82 efficiency 6-9, 2 3 ^ electrical connections 674-9 encapsulation approaches 156-7 frontside contacts 139 fuel 630-2 future designs 162-3 heat treated 257-8 heterojunctions 417 high efficiency 24, 161 InP 449-50, 602 interconnections 365-8 junction diffusion 174 laboratory 183-5 mechanically stacked 359-61
804 monolithic 96-7, 359 multijunction 129-30, 355-66, 602-3 operation overview 14-24 optical design 99-107 organic 25, 28, 390-421 passivated 157-62, 534 point-contact 138-9, 535, 553-4 polymer 415-20 processing techniques 173-8 reactions 647, 654-7 rear-contacts 68, 74, 80, 160 silicon 151-68, 261, 593-4, 599-601 single-crystal 599-603 single-junction 9 3 ^ space applications 585-606 structures 138-9 tandem 234, 347-71 thickness reduction 201 thin-films 106 types 93-9 volumes 82 Centre for Solar Energy and Hydrogen Research 302-4 centrifugal casting growth approach 172 chalcopyrites 325-32 charge carriers 40-54, 57-8 discharge cycles 635-6 separation 381-2, 414 transfer 381-2,417-19 transport 402-4, 459-62 chemical bath deposition (CBD) 300-1 chemical beam epitaxy (CBE) 354, 363^1 chemical spraying 254 chemical structures, organic devices 380 chemical vapour deposition (CVD) 185-6, 255 chlorophyll, organic devices 393-5 circuit simulations 85 circular concentrator cells 534, 541 CIS see copper indium diselenide cities, future technologies 775-6
Index
civilian space photovoltaics 593—4 cladding systems 753^1 climate change policies 754, 764-5 close-spaced sublimination (CSS) 253 CNTs see carbon-nanotubes co-evaporation processes 289-91, 302-5 collection efficiency 216 collection loss analysis 310-11 colour control, crystalline cells 682 commercialisation efforts 180-2, 225-6 communication modules 368 Community strategy, European Commission Directive 784 components cost analysis 704-9 photovoltaics 688-94, 704-9 thermophotovoltaics 485-6 compounds, III-V valence 363^1, 506-11 COMSAT Laboratories 154 concentrating optics 559 concentrating panels/systems 556-61 concentration module cost analysis 574 concentration ratios 533 concentration vs. efficiency 533, 547 concentrators 529-78, 687 angular acceptance 564 array characteristics 561 cost analysis 570-4 high-injection modes 549-54 operations 368 quantum well solar cells 475 thermal analysis 545-9, 567-9 conduction band energies 17-18, 24-5, 38 see also band-gap energies conductivity, photocells 207-8 conformal thin-film cells 106 conjugated molecular materials 384-9 conjugated polymer/fullerene heterojunctions 15-19 construction of photovoltaic cells 2 consumer demands vs. marginal costs 747-8 consumption levels 746
806 contact resistances 121 structures 133-9, 259-60, 533 continuity equations discretisation 70-1 photons 62 quantum wells 459 semiconductor device equations 36, 68 continuous wire sawing 167 conventional flooded lead/acid batteries 642-3, 646 conventional single-crystal space cells 599-602 conversion efficiency analysis 349-53,741-2 converters 4 8 3 ^ , 508, 519 cooling systems 560, 566-70 copper gallium selenium (CuGaSe2) 277-333 copper indium diselenide (CIS) 8-10, 329, 725 quasi-binary phase diagrams 282-3 solar cells 277-33 ternary phase diagrams 281 copper selenium (CuSe2) 277-333 copper (indium,gallium)selenide 277-333 see also Cu(In,Ga)Se2 cost analysis comparisons 751-3 components 700-1, 704-9 concentrator cells 570-4 crystalline cells 604 future technologies 786 limitations 3 photovoltaic markets 11—14 space photovoltaics 596, 604 super-high efficiency cells 353-4, 369-70 systems 700-1, 704-9 technology economics 742-60, 763-4 thin-film devices 7 Coulombic bound states 457-8 counter electrode improvements 287 Courts, T.J. 481-520 crystal lattices 248, 280
Index
crystalline cells colour control 682 cost analysis 604 fabrication 673, 679-80 module configurations 676 module rating/efficiency 677-9 crystalline silicon (c-Si) cells 6-7, 15-16 module structure fabrication 679-80 solar cells 92-140, 149-90 crystallographic texturing 174 CSS see close-spaced sublimination CTO see cadmium stannate Cu(In,Ga)Se2 277-333 absorber deposition processes 187, 288-99, 303 band-gap energies 280-1, 307-8 co-evaporation processes 289-91, 302-5 crystal lattices 280 defect physics 283-6, 299, 328, 330 heterojunctions 286-8, 327 heterostructure External Quantum Efficiency 310-11 in-line evaporation system 303 junctions 311-14 material properties 279-86 origins of solar cells 277-9 oxygenation 296-7 phase diagrams 281-3 radiation hardness of modules 305-6 recombination 311-14, 319-21 selinisation processes 291-3, 302-5 sodium in film growth 294-5 solar cells 277-333 stability of modules 305-6 surface properties 297-9 thin-films 303 wide-gap chalcopyrites 325-32 cumulative sales vs. module costs 743^1 current density equations 35-6 flow n-on-p concentrator cells 539
808 photocells 17-19, 60-2, 466-70 current-voltage (I-V) characteristics 21-3, 52-6 a-Si modules 213-14, 217-20 CdTe cells 257 concentrator cells 555-6 organic cells 408-11, 425-6 parallel connections 675-6 photovoltaic modules 677 quantum wells 470-3 series connections 674 temperature dependence 316, 319 current-voltage (I-V) equation 531-3, 545-6 CVD see chemical vapour deposition cyanine dye absorption 413 Czochralski (CZ) growth process 149, 152, 165-6, 168, 170, 180-2 daily load insolation variations 639 dangling band-gap states 213 Danish, future technologies 777 dark conditions carrier density solutions 44, 47-52 junctions under bias 42-5 dark conductivity 207-8 dark current 17-19, 60-2, 466-70 dark diodes 40-54 dark p-whomoj unctions 18, 51 dark solar cells 56 DC fluorescent lighting 693 Debye length 40, 49-51 Deep Space One Satellite 604-5 deep space probes 587 defect density spectra 285-6, 328, 330 defect formation energies 283^1 defect layer models 299 defect physics 283-6, 327-8 Dell, R. M. 609-65 demand curves 747-8 Dember voltages 550 dendritic web approach, ribbon growth 172 density of states 453-7
Index
depletion-regions 15-16, 41, 50-1 deployed array design constraints 597-8 deposition techniques 187, 288-303, 303 design criteria constraints 597-8 graded-gap devices 331-2 module variations 682-3 single-junction cells 9 3 ^ development buried-contact solar cells 158, 177-8 future technologies 783^1 high-performance solar cells 347-9 organic devices 377-82 photovoltaic technologies 741-66 Si cells 151-64 worldwide markets 733 device modelling 448-9, 497-505 device physics Cu(In,Ga)Se2 solar cells 306-25 electric fields 35, 40, 70, 73-5 Si solar cells 33-90 device-relevant defects 285-6 dielectric stacks 491-2 diesel hybrid systems 700, 729 differential equations, discretisation 71 diffuse interface photovoltaic cells 428-9 diffused doping profiles 72^1 diffusion lengths 41, 47,412 diodes 19,249-51,311-14 direct energy band-gaps 246-7 direct silicon (Si) thin-film deposition 187 direction of emissions 514 discharge curves 642 discharge reactions 653 discrete devices 507-11 discretisation 69-72, 82 dispersed heteroj unction photovoltaic cells 421-7 dissociation pressures 625 distribution indivisibilities 749-50 dopant impurities 152
810 doping a-Si modules 206-7 CdTe 248-9 gradients 118 levels 114-15 profiles 63-7, 72-4 double bus cells 541-3 double diode equation 19 drift currents 460-1 Drude theory 493 dual-junction cells 602-3 dye-sensitised polymer photodiodes 422-3 Earth observation satellites 595 Earth Orbiting satellites 585-6 EBIC see Electron Beam Induced Current economics, photovoltaics 267-8, 741-66 edge junction isolation 174 edge-defined film-fed growth (EFG) 170-1 effective band-gap energies 458 effective lifetimes 315-16 effective surface recombination velocity 112-15 efficiency improvements, Si cells 159-60 efficiency of photovoltaic modules 369-70, 677-9 efficiency of quantum well solar cells 472-4 efficiency vs. concentration 533, 547 EFG see edge-defined film-fed growth electric connections 674-9, 681, 684 discretisation 82 energy storage 609-65 generation costs 728 insulation 566-7 losses 749 power sources 587-8 simulation flow properties 81 electric fields device physics 35, 40, 70, 73-5 doping gradients 118
Index
Index
electrochemical capacitors 662-3 hydrogen production process 618-33 reactions 652-3 electrode reactions 641 electrodeposition 293-4 electroluminescence 396 electrolysers 621-3 electrolytic capacitors 662-3 hydrogen 620, 630-1 Electron Beam Induced Current (EBIC) measurements 310-11 electron-hole pairs 62-3, 381 electronic conjugated molecule properties 386 - 8 defects 250 description grain boundaries 122-3 metastabilities 323-5 selective radiator properties 488-90 transition energies 284-5 transport 315-16 electrons affinities 117 continuity equations 68 diffusion model 407 mobility 404, 427 electrostatic potential 75 elevation-azimuth two-axis tracking mechanisms 556-7 ellipsoidal light-confining cavities 555 email addresses 737 emitted flux density 460 emitter regions 77, 79 emitter saturation current density 64-6 emitter series resistances 538, 540 empirical modelling thermophotovoltaics 501-5 endoreversible heat engines 498-501 energy equations 614-15 photons 16, 24 quantum well solar cells 452-8
812
storage 596-7, 609-65 transitional 284-5 energy band-gaps see band-gap energies engineering economic studies 743-4 ENTECH concentrator array 557-8, 561-3, 571 entropy 428-9 envelope functions 453-5 environment conditions in space 588-91 costs 750-1
drives 14 issues 235-6,268-9 test sequences 233 EPIA see European Photovoltaic Industry Association epitaxial technologies 363-4 EQE see External Quantum Efficiency equilibrium conditions charge carrier densities 44 p-n junction 37-40 escape currents 461 ETSU 782-3 EUCLIDES concentrator system 547, 558-60, 563, 566, 570-3, 575-8 European Commission Directive 784 Commission Studies 786 manufacturers 718-26 Photovoltaic Conferences 714 Union 178-80, 771, 776, 786 European Photovoltaic Industry Association (EPIA) 732 evolution photovoltaic markets 11-14 Si:H modules 8 excess hole concentration 48 excitons 388-90, 406, 457-8 exhaustion regions 39 External Quantum Efficiency (EQE) 310-11
Index
fabrication 673, 679-80 metal contacts 133-9 quantum well solar cells 450-1 Si cells 153 facade integration, photovoltaics 702 factor K, grain boundaries 125 feedstock gases 209-11 Fermi levels 17-21, 24-5, 298 field-assisted carrier collectors 212-13 fill factor 22, 218, 322-3, 502^1 films see thin-films filters, dielectric stacks 491-5 fin areas, concentration cells 569 financing issues 734-6, 783 finger spacing, contact structures 134 first reflection reduction 106-7 First Solar LLC 265 FITR see Fourier transform infra-red flat pasted-plate batteries 642-3, 646 flat photovoltaic modules 548-9, 576-7 flat-plate arrays 687 flexible solar cells 430 floating junctions 111-12 floatzone (FZ) growth process 168, 180-2 flooded lead/acid batteries 642-3, 646 fluxes heat 515-16 luminous power 530 minority carriers 119-20 radiation 487-8 flywheels 614-18 forbidden band energies 17-18 formation energies 283-5 four-junction cells 358, 362 four-terminal structures 350 Fourier transform infra-red (FITR) spectroscopy 400 free carriers 16, 493 free Cu(In,Ga)Se2 surfaces 297-9 Fresnel lenses 562 Friend, R. H. 377-433
814 front contact patterns 133-5 front-surface passivation 115-18 frontside contact structures 139 fuel cells 629-33 fuel cost analysis 700-1 fullerene heterojunction cells 415-19 future applications organic devices 429-32 future market growth 732^1 future outlook 21st century 771-89 FZ see floatzone growth process GaAs/CuInSe2 mechanically stacked cells 359-60 GaAs/GaSb mechanically stacked cells 360 GaAs/Ge two-junction cells 357 GaAs/InGaAsP mechanically stacked cells 360 GaAs/Si mechanically stacked cells 360 gallium arsenide (GaAs) 10 based cells, see also GaAs... concentrator cells 536-8, 541^t, 547, 555-6, 565 dual-junctions 602-3 quantum well solar cells 449-50 space applications 592-3, 601-3 triple-junctions 603 galvanic deposition 254 gap state distributions 204-5 gaussian doping profiles 72-3 GEF see Global Environment Facility generation currents 18 generation electrical energy 611 generation rates, electron-hole pairs 62-3 generic thermophotovoltaic systems 486, 512 geometric factors 58-9 geometric light trapping schemes 100, 102-6 geometries quantum well solar cells 447-8 thermophotovoltaics 515, 517 German, Renewable Energy Act 786 germanium (Ge) homojunctions 5 gettering 131-2, 158 Giotto probe 585-6
Index
glass glass construction 681 substrates 226-9, 287-8 Tedlar photovoltaic modules 679-82 to module production steps 263-4 Global Environment Facility (GEF) 734-5, 755, 765, 784 global irradiation 575-6 global production growth 717 GNFs see graphite nanofibres Golden Photon Inc. 266 graded base designs 127-8 graded-gap devices 331-2 grain boundaries 122-6 graphene tubules 628-9 graphite nanofibres (GNFs) 629 Greek, future technologies 779-80 Green, M. A. 149-90 greybody radiation 486-9, 501 grid-connected building-integrated photovoltaic systems 704 grid-connected inverters 691-3 grid-connected systems configurations 689-93 markets 726, 729-31 system sizing 696 grids electricity costs 751-3 paths 540 shading 544, 554-6 supplies 745-54 Grove, Sir. W. 629-33 grown-in junctions 152 growth a-Si:H-based materials 209-11 CdTe cells 248-9 Cu(In,Ga)Se2 films 289, 294-5 direction transport 460-2 industry 714, 716-18 market predictions 732^1 thin-films 248-9, 287,490
816 Halls, J. J. M. 377^133 Hardingham, C 585-606 hazards, environmental 589-91 health issues 268-9 heat analysis 545-9, 567-9 engines 498-501 fluxes 515-17 treated cells 257-8 utilisation 7 0 3 ^ heteroface junctions 25, 27 Heterojunction with Intrinsic Thin Layer (HIT) cells 182 heterojunctions 9, 25-7, 413-20 energy band diagrams 327 formation 300-1 structure 286-8 vs. homojunctions 115-17 heterostructures 93^1, 310-11 high efficiency cells 24, 161, 259-60 high-energy protons 588-90 high-injection modes 549-54 high-low junction voltages 550 high-performance solar cells 347-71 conversion/efficiency analysis 349—53 cost analysis 353—4, 369-70 development 347-9 interconnections 365-8 high-performance tandem cells 349-52 high-speed flywheels 615-18 high-temperature chemical vapour deposition 185-6 diffusion 152 fuel cells 632 highest occupied molecular orbitals (HOMO) 387,400,408, 418, 427 Hill, R. 671-711 history modules 718 organic devices 383^4 photovoltaics 4-11 solar arrays in space 592-3
Index
world market growth 772 HIT see Heteroj unction with Intrinsic Thin Layer cells holes carrier density 50 continuity equations 68 mobility 404 recombination current density 64-6 HOMO see highest occupied molecular orbitals homojunctions 15-18, 25-7 emitter design 118-21 germanium 5 surface passivation 115-21 vs. heterojunctions 115-17 homostructure cells, design principles 93—4 humidity freeze tests 233 hybrid system configurations 689-90 hybrid vehicles 618, 700, 729 hydride/dehydride cycles 626 hydrogen electrochemical production processes 618-19 energy storage media 618-33 feedstock gases 210-11 oxygen fuel cells 630-1 passivation 132-3 powered vehicle fuel cells 620 I-V characteristics see current-voltage... IBC see interdigitated back contacts ideal diode equations 40-54 idealised p-n junctions 43-5 ideality factors non-ideal dark current components 61 IEA see International Energy Agency IFC see International Finance Corporation III-V valence alloys 506-11 compounds 363—4, 506-11 semiconductors 536-7 tandem cells 347-71 illuminated cells 16, 20-3, 52-6 illuminated p-n diodes 40-54
818 illuminated solar cells 52-6 image regions, optics 103 impact ionisation processes 184 improvement opportunities of commercial cells 180-2 in-line evaporation systems 303 incentives, market 741-66 incremental dark currents 473 incremental photocurrents 463, 470, 473 incremental recombination currents 467-70 Indian, manufacturers 718-26 indium gallium phosphide based cells see InGaP... indium (In) rich materials 285-6 indium phosphide (InP) cells 449-50, 602 see also InP/InGaAs... indium tin oxide (ITO) 391, 396 industrial issues 713-16, 742, 744 industrial status CdTe cells 264-7 InGaP/GaAs two-junction cells 356-7 InGaP/GaAs/Ge three-junction cells 358 InGaP/GaAs/InGaAsP/InGaAs four-junction cells 362 InGaP/InGaAs monolithic cells 359 inner diameter saws 167 innovation, market 754-64 InP/InGaAs two-junction cells 357 insolation 2, 639 Institut Cerda 782 institutional considerations 745-6 interchain interactions 389-90,401-2 interdigitated back contacts (IBC) 535 interdigitated designs 138-9 interdigitated grid designs 510 interdigitated metal grids 83 interface recombination 317-19 interface-related peaks 328 intermediate satellite orbits 588 international co-operation 787-8 International Conference Photovoltaic Power Generation 714 international economic cooperation 742 International Electrical Commission 784 International Energy Agency (IEA) 730-2, 737, 760-1, 786-7
Index
International Finance Corporation (IFC) 736, 783 international financing 734-6, 783 international markets 764 interplanetary probes 587 inverted co-evaporation process 290-1 inverted interfaces recombination 317-18 inverters 691-3 investments, markets 754-60, 763-4, 766 ionisation processes 184 Iowa thin-film technologies 230-1 irradiance levels 548 irradiation levels 591 islanding, inverters 693 islands, future technologies 778-9 iso-efficiency plots 349-52 isotropical illumination concentration 563 ITO see indium tin oxide Japanese developments 7 future targets 771 manufacturers 718-26 JI see Joint Implementation Joint Implementation (JI) programmes 765 Joule losses, series resistances 539 junctions currents 19 metal-insulator-semiconductor inversion 97-9 structures 17-19 types 5, 9, 24-8 under bias, dark conditions 42-5 voltages 550 kerf losses, production wastage 167 kinetic energy storage 614-18 Kyocera 720-2 Kyoto agreements 13-14 laboratory cells 183-5 laboratory improvements 159
820
lambertian light trapping 100-3, 162-3 laminates 671-83, 709 lanthanide ions 489-90 lanthanum/nickel hydrogen storage media 626 Laser Grooved Buried Contacts (LGBC) 533 latitude-tilted planes 575-6 lattice-matching 116-17 multijunction cells 355-62 thermophotovoltaics 493, 496, 506-11,519 Laveria, Spain, future technologies 777 layer cells 97-9 lead/acid batteries 641-7 leakage paths 516 LED see light-emitting diodes Lehrter Bahnhof, Berlin 775 LGBC see Laser Grooved Buried Contacts lifetimes polycrystalline semiconductors 315-16 restoring treatments 131 light absorption 310 meters 4-5 soaking 234 trapping 99-106, 162^1 light-emitting diodes (LED), organic devices 378-9, 424 lighting 693 limitations, photovoltaic cells 2-4 line lengths 746 line-tied inverters 691-3 linear concentrator cells 563 Liquid Phase Epitaxy (LPE) 363^t, 536-7 lithium batteries 657-60 lithium ion batteries 641, 658-9 lithium/iron sulphide batteries 660 lithium/polymer batteries 659-60 load equipment 693^1, 700 load profile information 695, 700 load variations 639 local area grid networks 699 location information, system sizing 694-6
Index
LOLP see loss-of-Ioad probability long-term economic policies 761-2, 766 long-term reliability, photovoltaic modules 232-5 loss reduction, surface recombination 108-21 loss-of-load probability (LOLP) 695-6, 699-701 low diffusion lengths 126-30 low injection modes 549-52 low-concentration cells 533 low-Earth orbits 588, 590 low-injection conditions 37 low-maintenance flooded lead/acid batteries 643, 646 low-temperature chemical vapour deposition 186 solid-phase crystallisation 186-7 lower activation energies 328 lowest unoccupied molecular orbitals (LUMO) 387, 400, 408, 418, 427 LPE see Liquid Phase Epitaxy Lucas Solar 715 luminescence 396, 400-1 luminous power fluxes 530 LUMO see lowest unoccupied molecular orbitals Luque, A. 529-78 Lysen, E. H. 771-89 McNelis, B 713-37 magnesium hydride 625 maintenance cost analysis 700-1 free sealed lead/acid batteries 643, 645-7 photovoltaic 697-8 major manufacturers 725 majority carrier concentration 56 manufacturers 713-37, 718-26 costs 231-2, 705-8 manufacturing plants 226 manufacturing processes 228-30, 246, 259-60 marginal costs, grid supplies 747-52, 756 maritime, array applications 638 markets analysis 593-6
821
822 cost analysis 511-14 demand high performance cells 368 evolution 11-14 future technology development 7 8 1 ^ growth predictions 732^1 photovoltaic business 713-37 mass constraints 597-8 materials Cu(In,Ga)Se2 properties 279-86 multijunction cells 355-66 quantum well solar cells 449-51 thermophotovoltaics 506-11 Matsushita Corp. 266 maximum power efficiency 531-2 Maximum Power Point Trackers (MPPT) 691 maximum stored energy 615 maximum-power solar conversion efficiency 23^1 MBE see molecular beam epitaxy mechanically rechargeable batteries 652 mechanically stacked multijunctions 95-6 mechanically stacked three-junction cells 360-1 merit-order operations 747 Mertens, R. 91-140 mesh discretisation 69-72 mesh-points 69 metal organic chemical vapour deposition (MOCVD) 293, 353, 363-4 metal organic vapour phase epitaxy (MOVPE) 450-1 metal-contacted areas, surface passivation 113-15 metal-insulator-semiconductor inversion (MIS) 97-9 metal-related defects 283—4 metal-semiconductor junctions 97-9 metallic impurities 130-1 metallurgical silicon (Si) grades 165 metals 176 contacts design/fabrication 133-9 hydrides 624-8 interconnections 365-8 interfaces 406 substrates 229-30 microcrystalline solar cells 187
Index
microelectronics 165, 181 microstructures, a-Si:H 209-11 Midnight Sun model 512-13 Midway Labs point-focus concentrator array 571 milestones, III-V tandem cells 348 MIMs see monolithic interconnected modules minority carriers 57-8, 119-20, 123-4 MIS see metal-insulator-semiconductor mobility models 402^1, 427 MOCVD see metal organic chemical vapour deposition models Auger 57-8 mobility 402^1, 427 numerical modelling 67-85 p-n junctions with diffused doping profiles 72-4 Shockley-Read-Hall recombination 57-8, 459-60 solar cells 34, 67-85 thermophotovoltaics 497-505, 512-18 two-diode 61 modified close-spaced sublimination 253 module-integrated inverters 692 modules 671-711 cell construction 673 configurations 676 costs vs. cumulative sales 142>-A deployment 266-7 design variations 682-3 efficiency 677-9 fabrication 302-4, 679-82 housing 566-70 manufacturing costs 705-8 operating temperatures 678-9 price history 718 production 262-4, 301-6 rating 677-9 structures 679-82 testing 678-9, 683 molecular orbitals 379-82, 387, 400, 408, 418, 427 oxygen 399
824
photovoltaic cells 392-5 semiconductors 378-82 molecular beam epitaxy (MBE) 353 Cu(In,Ga)Se2 293 III-V compounds 363—4 quantum well solar cells 450-1 molten carbonate fuel cells 632 molybdenum-coated glass substrates 288 monolithic cascade systems 95-6 monolithic four-junction cells 358 monolithic integrated two-junction cells 354 monolithic interconnected modules (MIMs) 507-11 monolithic interconnects 301-2 monolithic tandem cells 474, 537-8 monolithic vs. multi-terminal connection modes 364-5 monopolar tanks 621-3 Monte Carlo code 513, 516 mounting solar concentrator cells 566-70 mounting structures 685 MOVPE see metal organic vapour phase epitaxy MPPT see Maximum Power Point Trackers multi-dimensional device simulation 74-85 multi-terminal vs. monolithic connection modes 364-5 multiband-gap systems 95 multicrystalline silicon (Si) 168-70, 175-6, 182 multijunctions cell candidate materials 355-66 concentrator operations 368 design principles 94-7 monolithic cells 96-7 single-crystal space cells 602-3 super-high efficiency 347-71 multilayer solar cells 188-9 multiple quantum wells 184,447-8, 603 MUSIC FM, European Union Study 786 w-CdS/p-CdTe heterojunctions 9 n-i-p quantum efficiency 220 nanoscale carbon-based hydrogen storage media 628-9 naphthalene organic devices 394-5
Index
narrow-band radiators 486 national photovoltaic programmes 13 Nelson, J. 447-77 net metering 756, 760, 766 networks 699 neutral bulk recombination 311-14 New Central Station, Berlin 775 Newcastle Photovoltaic Applications Centre 783 NFFO see Non-Fossil Fuel Obligation nickel/cadmium batteries 641, 647-9 nickel/hydrogen batteries 650 nickel/iron batteries 649 nickel/metal hydride batteries 641, 650-1 nickel/zinc batteries 650 Nijs, J. 91-140 Nominal Operating Cell Temperature (NOCT) 679 non-contacted areas, surface passivation 110-13 non-diffused cells, surface recombination velocities 83-4 non-equilibrium conditions, charge carrier densities 44 Non-Fossil Fuel Obligation (NFFO) 762-3 non-generation losses 83^4 non-hardware costs 708 non-ideal dark current components 60-2 non-imaging optics 564 non-radiative currents 466 non-rechargeable battery cells 633-5 normal diffusion lengths 127-8 normal planes, tracking 575-6 numerical models 67-85 numerical solutions, semiconductor equations 68-72 O&M see operating and maintenance costs ODC see Ordered Defect Compound OECD countries, market development 760, 775, 781-3, 787 off-grid electricity supplies 728, 745-6 off-peak periods consumer demands 748 Ohl, R. 5, 152 ohmic contacts 259-60 ohmic losses 550-1 OLED see organic light-emitting diodes
826 one dimension semiconductor device equations 35-6 one-axis tracking 558-60 one-sided contact design 137-9 open-circuit conditions 78-9 open-circuit voltages concentrator cells 531-2 Cu-chalcopyrite based solar cells 326 Cu(In,Ga)Se2 solar cells 311-21 diode characteristics 311-14 illuminated cells 22-3 neutral bulk recombination 311-14 organic cells 411-12 photovoltaic modules 677 quantum wells 472 recombination 311-15 relaxation 323-5 thermophotovoltaics 502-4 operating and maintenance costs (O&M) 757-60 operation conditions, quantum wells 456 operation photovoltaic systems 696-8 operation stability, organic devices 430-1 operation temperatures 640, 678-9, 681-2 optical absorption 203-5 optical cell design 99-107 optical control 490-7, 512 optical design principles 562-5 optical discretisation 82 optical enhancements a-Si modules 216 optical field distributions 418 optical filters 405-6 optical losses 308-10 optical properties simulation flow numerical calculations 81 optical reflectors 495-6 optical transitions 457-8 optical transmissions 387 optically detected magnetic resonance 415 optimisation a-Si modules 215-21 front contact patterns 133-5 optimum array orientation 685-7
Index
orbitals, conjugated semiconductor materials 384-6 Ordered Defect Compound (ODC) model 298 organic cells see organic devices organic devices 25, 28, 377^33 characteristics 405-12 charge transport 402^1 current-voltage characteristics 408-11, 425-6 developments 10-11 future applications 429-32 heteroj unctions 413-21 historical background 383^1 photocells 390-7 photodiodes 379, 424-5 photogeneration 398-402 semiconductors 380, 398-402 technology properties comparisons 432-3 organic light-emitting diodes (OLED) 378-9, 424 orientation, photovoltaic arrays 685-7 origins c-Si solar cells 149-50 CdTe solar cells 246 concentrating panels/systems 556-61 Cu(In,Ga)Se2 solar cells 277-9 monolithically interconnected modules 508-11 organic devices 393-5 organic materials 383-6 organic photodiodes 424-5 photovoltaic industry 713-16 quantum well solar cells 447-8 solar arrays in space 592-3 thermophotovoltaics 481-7 outlook for photovoltaics, 21st century 771-89 output parameters, chalcopyrite based cells 325-6 output power density 483, 498-9 output waveform shapes 692 overall system performance 697 overviews Al/GaAs/Si monolithic two-junction cells 359 AlGaAs/GaAs/InGaAsP/InGaAs four-junction cells 362 CdTe solar cells 245-6
828
cell operation 14-24 GaAs/CuInSe2 mechanically stacked cells 359-60 GaAs/GaSb mechanically stacked cells 360 GaAs/Ge two-junction cells 357 GaAs/InGaAsP mechanically stacked cells 360 GaAs/Si mechanically stacked cells 360 InGaP/GaAs two-junction cells 356-7 InGaP/GaAs/Ge three-junction cells 358 InGaP/GaAs/InGaAsP/InGaAs four-junction cells 362 InGaP/InGaAs monolithic cells 359 InP/InGaAs two-junction cells 357 monolithic four-junction cells 358 photovoltaic cell operation 14-24 oxygenation, Cu(In,Ga)Se2 films 296-7 p-i-n cells, low diffusion lengths 128-9 p-i-n junctions 25-6 p-n homoj unctions 5, 15-18 cell design principles 93—4 diffused doping profiles 72-4 equilibrium 37-40 resistances 59-60 Shockley model 37-55 shunt resistances 59-60 superposition 21-2 p-n junctions see p-n homojunctions p-type semiconductors 259-60 p/i interface regions 214 Pacific Solar 724 paints, future technologies 779 PANI-CSA see polyaniline protonated with camphor sulphuric acid parabolic dish technologies 578 parallel connections, modules 675-6 parallel multijunction cells 129-30 parallel multilayer solar cells 188-9 passivated emitter and rear cells (PERC) 159-61 passivated emitter, rear floating junction cells (PERF) 161-2 passivated emitter, rear locally diffused cells (PERL) 160-1, 534, 555 passivated emitter, rear totally diffused cells (PERT) 160-1 passivated emitter, solar cells (PESC) 157-61
Index
Index
passivation a-Si modules 202-3 surface 109-15, 118-21, 182 passive cooling designs 557 pasted-plate batteries 642-3, 646 path-length enhancement 101-2 payload sizes 714 PC see point contacts peak periods consumer demands 748 peak shaving 640 peak spikiness 750 peak-load shaving 751 peak-load supplementation 751-2 Pearsall, N. M. 671-711 PECVD see plasma-enhanced chemical vapour deposition PERC see passivated emitter and rear cells PERF see passivated emitter rear floating junction cells perfluorosulphonic acid polymer membranes 623 performance a-Si modules 221-2 performance analysis 702-3 performance characteristics, quantum well cells 462-72 performance ratios 697 performance reference points 183-5 periodicals 736-7 PERL see passivated emitter, rear locally diffused cells PERT see passivated emitter, rear totally diffused cells perylene based photovoltaic cells 419-20 perylene derivatives 395 PESC see passivated emitter solar cells phase diagrams 247, 281-3 phenomenological expression fill factor 322 phosphorous (P) 176, 631-2 photo-induced charge transfer 381-2 photoabsorption 381 photocells 40-52, 56 conductivity 207-8 current 17-19, 60-2, 466-70 photoconductivity 207-8 photocurrents 20-1 action spectra 405-7, 425-6
830
heterojunction cells 417 light intensity dependency 431 photodiodes 421-7 photoexcited states 388-9 photogeneration 62-3 conjugated polymer/fullerene heterojunctions 417-19 currents 20 enhancement 413-14 organic cells 398^102 quantum wells 457-8 rates 46 photons 490-504 absorption 483 continuity equation 62 energies 16, 24, 184,457-8 photoresponses 417 photosensitivity 546 Phototronics 723 photovoltages 20-1 Photovoltaic Global Approval Programme (PV-GAP) 784 Photovoltaic Market Transformation Initiative (PVMTI) 736 Photovoltaic Power Systems (PVPS) agreement 787 Photovoltaic Program 178-80 Photowatt 720, 723 phthalocyanine/perylene photovoltaic cells 419-20 physics cells 390-7 Cu(In,Ga)Se2 solar cells 306-25 organic photocells 390-7 quantum well solar cells 451-62 Si solar cells 33-90 planar silicon (Si) solar cells 72-3 plasma filters 4 9 2 ^ , 496 plasma-enhanced chemical vapour deposition (PECVD) 202 plastic substrates 230-1 plate geometry 515,517 plating design principles 135-6 pocket plate cells 648-9 point of emission, radiators 514 point-contact (PC) cells 138-9, 535, 553^1
Index
point-focus, concentrators 556, 563, 566 Poisson equation 35, 68-9 polarons 388-9, 401-3 policy frameworks, economics 714-66 political climates 788-9 POLIX 723 poly(2-methoxy-5-(2'-ethyl-hyxoxy),4-phenylenevinylene) 397,427 polyaniline protonated with camphor sulphuric acid (PANI-CSA) 424 polycrystalline see also thin-films... a-Si:H materials 217 devices 7 semiconductor effective lifetimes 315-16 polycrystalline silicon (Si) cell designing principles 102 manufacturing costs 706 production capacities 725 polymer diodes 409-10,419-20,423-7 polymer electrolyte membranes 631-2 polymer heterojunction cells 415-19 polymer interfaces 406 polymer photovoltaic cells 392, 395-7, 404 polymer-blend photodiodes 419-20,423-7 polymer/perylene photovoltaic cells 419-20 polymer/polymer photovoltaic cells 420 polythiophene based polymer light-emitting diodes 424 pool pricing 748 Poortmans, J. 91-140 position-dependent doping profiles 63-7 positive electrode reactions 635-6 potential distribution 126 potential-energy storage 610-12 power conditioning 596-7, 691 demand surges 640 density outputs 484, 498-9, 505 distribution 596-7 generation 587 plants 730 range market segments 726
832
requirements (satellite systems) 593-6 sources 587-8 prices electricity supply 747-50 history (photovoltaic modules) 718 photovoltaic systems 12-13 primary cells 633-5 prismatic solar cell covers 554 private investment 13 production achievements 264-7 capacities 725 costs 12 economies 743 issues 716-18 sequences 302-4 substrates 164-73 progress of a-Si modules 199-200 promotion initiatives 760-1 property analysis hydrogen storage media 627 organic cell technologies 432-3 prospects, future technologies 788-9 protons 588-90, 631-2 public expenditure 13 public policies 742, 744 pumped-hydro schemes 610-12 PV-GAP see Photovoltaic Global Approval Programme PVMTI see Photovoltaic Market Transformation Initiative PVPS see Photovoltaic Power Systems quality determination, a-Si based films 209 quantum dot structures 451 quantum efficiency, triple junctions 220 quantum mechanical tunnelling 461 quantum well solar cells (QWSC) 447-77 device design 448-9 efficiency 472-4 energy 452-8 spectral responses 462-6
Index
quantum wells 470-3 dark currents 466-70 envelope functions 453-5 incremental photocurrent 463, 470, 473 incremental recombination current 467-70 quarter wave antireflection coatings 175 quasi-binary phase diagrams 282-3 quasi-Fermi energy levels 44 quasi-thermal equilibrium 469 quota-based trading systems 785 QWSC see quantum well solar cells radiation hardness 305-6 radiative currents 466 radiative recombination 57, 460, 497-8 radiators 486-90, 501 RAPS see Remote Area Power Supplies ratings, photovoltaic module 677-9 ratio, peak to off peak prices 750-1 Rau, U. 277-333 ray diagrams 100 RD&D see research, development and demonstration real diode characteristics 55-67 rear-contact cells 68, 80, 160 rear-contacted bifacial cells 74 rechargeable batteries 635-54, 657-60 recombination carriers 124—6 centres 316 currents 18-19,61,94 loss analysis 84, 308-10, 319-21 mechanisms 57-8 p/i interface regions 214 paths 311-14 quantum wells 459-60 radiative 57, 460, 497-8 space-charge regions 311-14 surface characteristics 58-9 velocities 66, 83-4, 108-15, 120 rectangular bus cells 541-3
834 redox batteries 653-4 reduction in cell thickness 201 refined model photocurrent action spectra 408 relaxation, open-circuit voltages 323-5 reliability constraints 590-1, 598 Remote Area Power Supplies (RAPS) 638-9, 646, 698-704 renewable energy options 728 Renewable Energy White Paper 771 renewable generated electricity (RES-E) 784-6 Research & Technology Development (RTD) objectives 785 research, development and demonstration (RD&D) incentives 754, 757-64 reserve generating capacities 749 resistances see resistivity resistivity 59-60 losses 83 series 532, 538^5 sheet 134 transparent conductive oxides 137 resonant array filters 494-5 reverse saturation current density 502-3 ribbon growth methods 170-3 ribbon silicon (Si) 725 Richardson constant 98 ring cells 541 Rio agreements 13-14 rocking chair cells 658-9 RTD see Research & Technology Development rural-areas future technologies 776-7 off-grid supplies 745-6 safety-critical networks 699 Sandia National Laboratories 556-7 sandwich-type organic photocells 390-7 sandwich-type polymer diodes 409-10 Sanyo 720, 723 satellites power requirements 593-7 solar arrays 596-8, 604-5 space applications 585-606
Index
Index
saturation current density 18 Artenius plots 320-1 dark diodes 40-54 dark forward biased p-n junctions 51 Shockley equation 47 scale distribution 719 scale economies 743 SCARLET solar array 604-5 Schock, H. W. 277-333 Schottky barrier 27, 407 diodes 97-9 Schumacher, J. O. 33-90 scientific satellites 594-5 SCLC see space-charge-limited current screen printing CdS films 255 cell approach 156-7 design principles 135 metal contacts 174-7 sealed lead/acid batteries 645-7 seasonal load variations 639 Second World Photovoltaic Solar Energy Conference 714 secondary batteries 635-54, 657-60 secondary concentrators 564 selective radiators 488-90, 519 selenium (Se) 4-5 see also copper selenium... selinisation processes 291-3, 302-5 semiconductors cell developments 151-68 conjugated molecules 384-6 converters 519 device equations 35-6, 68-72 energy levels 17-19, 25 organic 380, 398^102 series connections 674-6 series resistances 59-60, 532, 538—45 series/parallel configurations 676 SHAC see Solar Heating and Cooling
836 shading 684, 687-8 shallow junction cells 155 shallow junction violet cells 155 Sharp 720, 722 sheet resistance 134 sheet silicon (Si) 170, 172-3, 725 Shell Solar 724 shipments, photovoltaics 717, 719 Shockley equations 43, 47 Shockley model, p-n junction 37-55 Shockley-Read-Hall (SRH) recombination model 57-8, 459-60 short-circuit currents ellipsoidal light-confining cavities 555 optical losses 308-10 photovoltaic modules 677 sensitivity 501 short-circuited conditions 76-7 illuminated cells 21 shunt resistances 59-60 Siemens Solar 720, 722 Sifhos Island, Greece 778 silicon hydrogen (Si:H), module evolution 8 silicon (Si) 5 see also amorphous silicon; crystalline silicon; polycrystalline silicon based surface passivation 182 carbides 488 cell development 151-68 cell space photovoltaics 593^1, 599-601 cell substrates 261 on ceramic approach 185 impurities 130-1 ingot production methods 168-70 multicrystalline 160-70, 175-6, 182 photovoltaic modules 150 point-contact diodes 151 ribbon 725 sheet 170, 172-3,725 single-crystal 706, 725 solar cells 33-90, 92-140
Index
supported thin-films 185-9 thin-film deposition 187 tricrystalline 168 silver batteries 651 simulations 69-85 Simultaneous Multiple Surface (SMS) method 564-5 single axis tracking 687 single bus cells 541 single-crystal silicon (Si) 706, 725 single-crystal space cells 599-602 single-exponential current-voltage equations 531-3 single-junctions 93^1, 222-3 single-layer anti-reflective coatings 107 single-polarity expression 410-11 single-walled carbon nanotubes (SWNTs) 628-9 SMS see Simultaneous Multiple Surface social drives 14, 745-6 sodium alanates 626 sodium batteries 654-7 sodium influences, Cu(In,Ga)Se2 growth 294-5 sodium/metal chloride (ZEBRA) batteries 655-7 sodium/sulphur batteries 655 solar arrays batteries 636-41 origins 592-3 satellite power systems 596-7 Solar Bank 736 solar cells amorphous silicon (a-Si) 199-237, 605 buried-contact 158, 177-8 c-Si 92-140, 149-90 CdTe 245-69 concentrators 529-78 Cu-chalcopyrite 326 Cu(In,Ga)Se2 277-333 future technologies 779 high-performance 347-71 illuminated 52-6 junction types 24-8 models 34, 67-85
838
multijunction 354-7, 360 multilayer 188-9 operation principles 211-15 parameters 55-6 quantum wells 447-77 Si 33-90, 92-140 technology 599-604 Solar Cells Inc. 265 Solar Development Group (SDG) 736 solar electricity storage 613-14 solar energy limiting characteristics 2 solar flare protons 589-90 Solar Heating and Cooling (SHAC) Programme Task 16 731 Solar Home Systems 774, 7 8 3 ^ solar insolation 741-2 solar photovoltaic modules 612, 637-8 Solar Power Corporation 715 Solar Power Ltd. 715 solar spectra 591 solar-driven thermophotovoltaics 482 Solarex Corporation 715 solid oxide fuel cells 632 solid polymer electrolytes 623 solid-state hydrogen storage 624 space applications, cells and systems 585-606 space environments 588-91 space photovoltaics 599-604 array applications 638 cost analysis 596 design constraints 597-8 reliability factors 590-1 total market 593^1 space silicon (Si) cell design 155 space solar cell technology 599-604 space-charge density 39, 75 space-charge regions Debye length 49-50 electric fields 73-5 open-circuit voltages 311-14 p-n junctions 15-16, 37, 39,44
Index
recombination 311-14 space-charge-limited current (SCLC) 410 specific energy, flywheels 615 specific series resistance 532, 540-1 spectral absorption 101-2 spectral reflectance curves 107 spectral responses 234, 258, 462-6 spectral utilisation factor 515 spin-cast blends 428-9 sputtering 256 squared bus cells 541-3 SRH see Shockley-Read-Hall stability, Cu(In,Ga)Se2 modules 305-6 Staebler-Wronski effect (SWE) 7, 96-7 a-Si modules 201, 207-8, 214, 216, 234 stand-alone inverters 691-3 systems 689-96, 726-8 standard processes cell processing techniques 173-6 substrate production 164-8 Standard Test Conditions (STC) 678, 683 STC see Standard Test Conditions steady-state photoconductivity 415-16 storage electrical energy 609-65 photovoltaic arrays 693 string ribbon growth approach 172 structures a-Si 221-5 concentrator cells 533-8 contact 133-9,259-60, 533 fabrication photovoltaic modules 679-82 photovoltaic industry 715-16 quantum well solar cells 448-9, 452 sub-bandgap photons 490-502 sublimation-condensation 252-3 substrates 164-73, 226-31, 261, 287-8 Sun-tracking systems 687 sunlight limitations 2
840 super-capacitors 662-3 super-high efficiency cells III—V tandem structures 347-71 multijunctions 347-71 superposition p-n junctions 21-2 principle 45-6 surface passivation 109-15, 118-21, 182 surface recombination 58-9 loss reduction 108-21 velocity 66, 83-4, 108-15,120 surfaces composition Cu(In,Ga)Se2 thin-films 298 junctions 25, 27-8 lambertian 100-3 oxygenation 297 properties Cu(In,Ga)Se2 thin-films 297-9 states Cu(In,Ga)Se2 solar cells 299 SWE see Staebler-Wronski effect switching equipment 694 SWNTs see single-walled carbon nanotubes systems 12, 688-711, 780-3 components 688-94 cooling 560, 566-70 cost analysis 700-1, 704-9 designs 688-90 efficiency 517-18 heat utilisation 703—4 modelling 512-18 operation 696-7 photovoltaic 688-711 sizing 694-6, 700 space applications 585-606 yield 697 Take-Off, European Union Campaign 771 tandem a-Si modules 219, 223^1 tandem cells concentrators 537-8 III-V structures 347-71
Index
laboratory cells 184 quantum wells 474 spectral responses 234 tandem structures 184, 349-52 tax incentives 759 TCO see transparent conductive oxide technology barriers 784-6 economics 741-66 milestones 4-11 telecommunications satellites 593-5 temperature analysis 545-9 dependence, current-voltage curves 316, 319 dependence, quantum well solar cells 475 photovoltaic modules 678-9, 681-2 profiles 513-14 tendering schemes 785 ternary phase diagrams 281-2 terrestrial photovoltaic arrays 638 testing photovoltaic modules 678-9, 683 textured non-reflecting black cells 155 thermal analysis 545-9, 567-9 thermal cycle tests 233 thermal energy storage 612-13 thermally-assisted tunnelling 461 thermodynamics 247-8, 623 thermophotovoltaics (TPV) 481-520 device modelling 497-505 endoreversible heat engines 498-501 filters 491-5 materials 506-11 optical control 490-7 quantum well solar cells 475-6 radiators 487-90 thin-films C&Tep-n homojunctions 246 cell arrangement 262 cell colour control 679-80,683 design principles 106
842
fabrication 673, 679-80 growth processes 248-9, 287,490 manufacturing costs 706 materials 605 module configurations 676 module rating/efficiency 678-9 polycrystalline devices 7 solar cells 245-6 three-cell tandem structures 351-2 three-dimensional light trapping schemes 102-6 pyramids 103-4 three-junction cells, lattice matching 358, 360-1 three-junction monolithic cascade systems 96-7 three-stage co-evaporation process 291 three-terminal structures 350 tilt angles, tracking 640, 685-7 time-of-flight (TOF), charge transport 403^1 time-resolved photoluminescence 415 TOF see time-of-flight TOLEDO concentrator cells 572 top surface pastes 175 total market space photovoltaics 593-4 toxic materials 235-6 TPV see thermophotovoltaics trackers concentrators 556-70, 574-5 maximum power point 691 systems 556-70, 687 transient photoconductivity 415-16 transition energies, electronic 284-5 transmission indivisibilities 749-50 transmittance filters 494-5 transparent conductive oxide (TCO) films 136-7, 261 transport charge 402-4, 459-62 electronic 315-16 equations 36, 48 trapped electrons 404, 588-9 Trias Energica 774
Index
tricrystalline silicon (Si) 168 triple layer concentrator cells 534 triple scribing interconnections 262 triple-junctions 218-20, 224-5, 603 triplet excitons 402 tubular lead/acid batteries 643-6 tunnel diodes 392 tunnel-junctions 223-5, 365-8 tunnelling, charges 318-19, 409-10 two-axis tracking mechanisms 556-7 two-cell tandem structures 351-2 two-dimensional discretisation meshes 69 grooves 103 light trapping schemes 102-6 two-diode models 61 two-exponential current-voltage equations 545-6 two-junction monolithic cascade systems 96-7 two-junction solar cells 354-7, 360 two-sided contact designs 133-7 two-sided contacted point contact concentrator cells 551-2 two-terminal structures 350 ultimate photovoltaic system 779-81 ultra-capacitors 662-3 ultra-high-flux concentrator 564—5 ultrathin single-crystal space cells 605 United Nations Development Programme 783 United Nations Framework Convention on Climate Change 755, 765 University of New South Wales (UNSW) 157 upper layers finger spacing 134 US Signal Corps 713 USSC manufacturing processes 221, 229-30 valence band energies 17-18, 24-5, 38, 298 see also band-gap energies Valve-Regulated Lead/Acid Batteries (VRLA) 645-6 van Allen belts 588-9 vanadium hydride 625-6 vanadium redox batteries 653-4
844 Vanguard satellites 592, 713 vehicle power systems 618, 620, 700, 729 velocity, surface recombination 66, 83-4, 108-15, 120 vertical base specific resistance 538 vertical grain boundaries 126 VEST technology 172 violet shallow junction cells 155 voltages 85, 623 VRLA see Valve-Regulated Lead/Acid Batteries water systems 568, 621-3, 693 waveforms 692 web addresses 737 Wettling, W. 33-90 wide-gap chalcopyrites 325-32 window layers 116-18, 251-2, 301 World Bank 727, 734-6, 784 world energy supply 773^1 world markets 726, 733, 772 Wronski, C. R. 7, 199-237 yttrium aluminium garnet (YAG) 490 ZEBRA see sodium/metal chloride zero-bias quantum efficiency 462-6 zinc/air batteries 652 zinc/bromine batteries 652-3 zmc/ferricyanide batteries 653
Series on Photoconversion of Solar Energy — Vol. 1
CLEAN ELECTRICITY FROM PHOTOVOLTAICS Editors: Mary D. Archer (Imperial College, UK) Robert Hill (University of Northumbria, UK) Photovoltaic cells provide clean, reversible electrical power from the sun. Made from semiconductors, they are durable, silent in operation and free of polluting emissions. In this book, experts from all sectors of the PV community— materials scientists, physicists, production engineers, economists and environmentalists — give their critical appraisals of where the technology is now and what its prospects are.
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