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Electrochemical Impedance Spectroscopy in PEM Fuel Cells
Xiao-Zi Yuan · Chaojie Song · Haijiang Wang Jiujun Zhang Electrochemical Impedance Spectroscopy in PEM Fuel Cells Fundamentals and Applications 123
Dr. Xiao-Zi Yuan National Research Council of Canada Institute for Fuel Cell Innovation 4250 Wesbrook Mall Vancouver BC V6T 1W5 Canada Xiao-Zi.Yuan@nrc-cnrc.gc.ca Dr. Chaojie Song National Research Council of Canada Institute for Fuel Cell Innovation 4250 Wesbrook Mall Vancouver BC V6T 1W5 Canada Chaojie.Song@nrc-cnrc.gc.ca Dr. Haijiang Wang National Research Council of Canada Institute for Fuel Cell Innovation 4250 Wesbrook Mall Vancouver BC V6T 1W5 Canada Haijiang.Wang@nrc-cnrc.gc.ca Dr. Jiujun Zhang National Research Council of Canada Institute for Fuel Cell Innovation 4250 Wesbrook Mall Vancouver BC V6T 1W5 Canada jiujun.zhang@nrc.gc.ca ISBN 978-1-84882-845-2 DOI 10.1007/978-1-84882-846-9 Springer London Dordrecht Heidelberg New York e-ISBN 978-1-84882-846-9 British Library Cataloguing in Publication Data A catalogue record for this book is available from the British Library Library of Congress Control Number: 2009940583 c Springer-Verlag London Limited 2010 Ballard® is a registered trademark of Ballard Power Systems Inc., 9000 Glenlyon Parkway, Burnaby, BC V5J 5J8, Canada, www.ballard.com Nafion® and Teflon® are registered trademarks of E. I. du Pont de Namours and Company, Wilmington, Delaware, USA, www.dupont.com Apart from any fair dealing for the purposes of research or private study, or criticism or review, as per- mitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publis- hers, or in the case of reprographic reproduction in accordance with the terms of licenses issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. The use of registered names, trademarks, etc., in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Cover design: eStudioCalamar, Figueres/Berlin Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface Proton exchange membrane (PEM) fuel cells hold the promise of environmentally friendly power generation due to their low/zero emissions in comparison with internal combustion engines. PEM fuel cells also have several other advantages over conventional energy converting devices, including both high efficiency and power density, which make them unique across a wide range of portable, stationary, and transportation power applications. However, several challenges remain, including cost and reliability/durability. Intensive R&D is therefore still needed sustainable commercialization. In this ongoing R&D, fuel cell testing and diagnostics play a critical role in material characterization, performance optimization, design validation, and fundamental understanding for further development. Among the testing and diagnostic tools used in fuel cell R&D, AC impedance spectroscopy (or electrochemical impedance spectroscopy, EIS) is regarded by scientists and engineers as a powerful technique. these challenges to achieve to address in order In recent years, EIS has been widely used in studies of electrochemical systems, including batteries and materials corrosion, and is also being increasingly employed by researchers in PEM fuel cell studies. During the last few decades this technique has emerged as a primary tool in PEM fuel cell diagnosis. Because PEM fuel cells are being developed at an increasingly rapid rate, with many new researchers entering the field, an overview of EIS methods is warranted to describe the basic principles, measurement techniques, and applications of this tool. Current researchers may or may not be electrochemists. Indeed, as fuel cells grow in popularity among students in mechanical, chemical, and electrical engineering, in environmental studies and engineering, as well as in materials science and engineering, fuel cell courses are being offered worldwide at many universities and research institutes, as well as in industry settings. The need for a text or reference book on fuel cell EIS has motivated the writing of this volume. Each of the authors is closely involved in PEM fuel cell technology, including the areas of design, materials, components, operation, diagnostics, and systems. The present publication is therefore a direct result of many years’ experience working on EIS diagnosis of PEM fuel cells. The authors hope this book will provide a general understanding of EIS techniques, as well as detailed guidance in the application of this technology to PEM fuel cells. The volume is also designed with the intention that other potential readers, especially non-electrochemists, will find it an accessible and useful introduction to EIS techniques, will gain basic knowledge of EIS testing, and after reading it will be well prepared for
vi Preface chemical and experimental result analysis. Although the book’s primary audience is intended to be fuel cell researchers and practising engineers in universities, research institutes, and industries who perform PEM fuel cell testing and diagnostics, some undergraduate students, as well as M.Sc. and Ph.D. candidates in mechanical engineering, environmental engineering, and materials science and engineering may also find this book a very useful reference source. electrochemical engineering, The book comprises six chapters and contains comprehensive information on the fundamentals of PEM fuel cells, as well as the basic principles of EIS electronics, measurements, and applications. Chapter 1 introduces readers to the general field of PEM fuel cells, including an overview of fuel cell history, the different types of fuel cells, and electrochemical approaches in fuel cell studies. Chapter 2 provides the electrical fundamentals that are the foundation for understanding spectra analysis based on electric equivalent circuits. Chapter 3 gives a brief overview of EIS fundamentals, covering topics such as impedance and its physical and chemical processes, and the relationships between impedance spectroscopy and other electrochemical techniques. Chapter 4 describes the equivalent circuits frequently used in PEM fuel cell diagnosis and their corresponding AC impedance spectra. Following this coverage of fundamentals in the first four chapters, progress in EIS techniques and applications is reviewed in Chapters 5 and 6, accompanied by some typical example analyses. These two chapters are more related to the practice and state-of-the-art development of EIS applications in PEM fuel cells. Literature published in scientific journals has been cited in this book up to the time of writing the final draft for each specific chapter. We would like to take this opportunity to thank the many outstanding engineers and scientists who made direct contributions to the writing of this book at the National Research Council of Canada’s Institute for Fuel Cell Innovation. Special thanks go to Dr. Yanghua Tang for his constructive contribution to Chapter 2, to Mr. Jason Ng Cheng Hin for his efficient editing of all the images, and to Dr. Dania Sheldon for her effective editing and indexing services. We also wish to thank the family members of all the authors for their continued patience, understanding, encouragement, and support throughout the writing of this monograph. Finally, it is our pleasure to acknowledge with gratitude the financial support provided by the NRC-Helmholtz Project, which made possible the editing and publication of this work. If technical errors are found, all of the authors would deeply appreciate readers’ constructive comments for correction and further improvement. Vancouver, BC, Canada May 2009 Xiao-Zi Yuan, Chaojie Song, Haijiang Wang, and Jiujun Zhang
Contents Acronyms and Abbreviations...............................................................................xi 1 PEM Fuel Cells and their Related Electrochemical Fundamentals .............1 1.1 Fuel Cell Description.................................................................................. 1 1.2 Fuel Cell Types..........................................................................................4 1.2.1 H2/Air Fuel Cells ............................................................................5 1.2.2 Direct Liquid Fuel Cells .................................................................8 1.2.3 Alkaline Fuel Cells .......................................................................10 1.2.4 Phosphoric Acid Fuel Cells ..........................................................11 1.3 Fuel Cell Challenges................................................................................12 1.4 PEM Fuel Cell Electrochemistry .............................................................13 1.4.1 Electrochemistry Fundamentals....................................................13 1.4.2 Polarization Curves ......................................................................20 1.4.3 Current Interruption......................................................................20 1.4.4 Chronoamperometry.....................................................................21 1.4.5 Cyclic Voltammetry .....................................................................22 1.4.6 Electrochemical Impedance Spectroscopy ...................................26 1.5 Fuel Cell Analysis....................................................................................28 1.5.1 Open Circuit Voltage....................................................................29 1.5.2 Cell Voltage Under Load..............................................................31 1.5.3 Ohmic Drop..................................................................................34 1.5.4 Mass Transfer Drop......................................................................34 1.5.5 Fuel Cell Efficiencies ...................................................................35 1.6 Chapter Summary ....................................................................................36 References................................................................................................36 2 Electrical Fundamentals.................................................................................39 2.1 Introduction..............................................................................................39 2.2 Direct Current Circuits.............................................................................40 2.2.1 Ohm’s Law ...................................................................................40 2.2.2 Series and Parallel Circuits...........................................................41 2.2.3 Kirchhoff’s Laws..........................................................................42 2.2.4 Resistors in DC Circuits ...............................................................43 2.2.5 Capacitors in DC Circuits.............................................................45 2.2.6 Inductors in DC Circuits...............................................................49 2.3 Alternating Current Circuits ....................................................................50 2.3.1 Sinusoidal Systems.......................................................................50 2.3.2 Resistors in AC Circuits ...............................................................52
viii Contents 2.3.3 Capacitors in AC Circuits.............................................................53 2.3.4 Inductors in AC Circuits...............................................................53 2.4 Complex Algebra and Impedance............................................................54 2.4.1 AC Impedance of a Resistor–Capacitor Circuit............................56 2.4.2 AC Impedance of a Resistor–Inductor Circuit .............................59 2.4.3 AC Impedance of a Capacitor–Inductor Circuit ...........................61 2.4.4 AC Impedance of a Resistor–Capacitor–Inductor Circuit ............63 2.5 Network Circuit Analysis ........................................................................72 2.5.1 Topological Features of a Network ..............................................72 2.5.2 Network Theorems .......................................................................73 2.5.3 Transient Network Analysis .........................................................78 2.6 Basic Knowledge for Understanding EIS ................................................81 2.6.1 Introduction ..................................................................................81 2.6.2 Nyquist and Bode Plots ................................................................82 2.6.3 Equivalent Circuit Models............................................................84 2.6.4 Data Fitting of EIS........................................................................89 2.6.5 Applications..................................................................................92 2.7 Chapter Summary... .................................................................................93 References................................................................................................93 3 Impedance and its Corresponding Electrochemical Processes ...................95 3.1 Electrode/Electrolyte Interfaces................................................................95 3.1.1 Introduction ..................................................................................95 3.1.2 Equivalent Circuit of an Electrode/Electrolyte Interface..............96 3.1.3 Differences Between Solid State and Aqueous Electrochemistry 97 3.2 Faradaic Impedance .................................................................................98 3.2.1 Calculation of the Faradaic Impedance at the Equilibrium Electrode Potential.. .....................................................................98 3.2.2 Kinetic Parameters from Zf......................................................... 104 3.2.3 Vectorgraphs of Faradaic Impedance....................... ............ ......108 3.3 Total Impedance of an Electrochemical System.................................... 109 3.3.1 Calculated Zf Based on Experimental Measurements................. 109 3.3.2 Graphic Presentations of the Total Impedance........................... 112 3.3.3 Impedance Plots of Real Electrochemical Systems Using the Complex Plane ........................................................................... 116 3.3.4 Semicircle Rotation of the Impedance........................................ 118 3.4 Correlation of EIS with Other Electrochemical Techniques.................. 123 3.4.1 EIS and the Polarization Curve................................................... 123 3.4.2 EIS and Current Interruption ...................................................... 128 3.5 EIS Measurements ................................................................................. 129 3.6 Advantages and Limitations of EIS ....................................................... 133 3.6.1 EIS Advantages .......................................................................... 133 3.6.2 EIS Limitations........................................................................... 134 3.7 Chapter Summary .................................................................................. 135 References.............................................................................................. 136
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