Fundamentals of
Power Electronics
Robert W. Erickson
University of Colorado
Boulder, CO
KLUWER ACADEMIC PUBLISHERS
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Library of Congress Cataloging-in-Publication Data
Erickson, Robert W. (Robert Warren),
Fundamentals of power electronics/Robert W. Erickson
p. cm.
Includes Bibliographical references and index.
ISBN 0-412-08541-0
1. Power electronics I.Title
TK7881. 15. E75 1997
621317-dc20 96-38347
CIP
British Library Cataloguing in Publication Data available
Copyright © 1997 by Chapman & Hall
Fifth printing 1999 by Kluwer Academic Publishers
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or
transmitted in any form or by any means, mechanical, photo-copying, recording, or otherwise, without
the prior written permission of the publisher, Kluwer Academic Publishers, 101 Philip Drive, Assinippi
Park, Norwell, Massachusetts 02061
Printed on acid-free paper.
Printed in the United States of America
Dedicated to
Linda and William
Robert Sr., Pearlie, and Karen
Contents
Dedication v
Preface xv
1. Introduction 1
1.1. Introduction to Power Processing 1
1.2. Several Applications of Power Electronics 8
1.3. Elements of Power Electronics 10
References 11
I. Converters in Equilibrium 13
2. Principles of Steady-State Converter Analysis 15
3. Steady-State Equivalent Circuit Modeling, Losses, and Efficiency 40
4. Switch Realization 62
5. The Discontinuous Conduction Mode 110
6. Converter Circuits 135
II. Converter Dynamics and Control 191
7. AC Equivalent Circuit Modeling 193
8. Converter Transfer Functions 261
9. Controller Design 323
10. Ac and dc Equivalent Circuit Modeling of the Discontinuous Conduction Mode 369
11. Current Programmed Control 408
III. Magnetics 453
12. Basic Magnetics Theory 455
13. Filter Inductor Design 497
14. Transformer Design 512
IV. Modern Rectifiers and Power System Harmonics 539
15. Power and Harmonics in Nonsinusoidal Systems 541
16. Line-Commutated Rectifiers 562
17. The Ideal Rectifier 590
18. Low Harmonic Rectifier Modeling and Control 627
19. Resonant Conversion 659
20. Quasi-Resonant Converters 711
Appendices 741
Appendix 1. RMS Values of Commonly-Observed Converter Waveforms 743
A.1.1. Some Common Waveforms 743
A 1.2. General Piecewise Waveform 747
Appendix 2. Magnetics design tables 751
A2.1. Pot core data 752
A2.2. EE core data 753
A2.3. EC core data 754
A2.4. ETD core data 754
A2.5. PQ core data 755
A2.6. American wire gauge data 755
References 756
Appemdix 3. Averaged Switch Modeling of a CCM SEPIC 757
Index 763
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