This book is devoted to resonant energy conversion in power electronics. It is a practical, systematic guide to the analysis and design of various dc-dc resonant inverters, high-frequency rectifiers, and dc-dc resonant converters that are building blocks of many of today's high-frequency energy processors. Designed to function as both a superior senior-to-graduate level textbook for electrical engineering courses and a valuable professional reference for practicing engineers, it provides students and engineers with a solid grasp of existing high-frequency technology, while acquainting them with a number of easy-to-use tools for the analysis and design of resonant power circuits. Resonant power conversion technology is now a very hot area and in the center of the renewable energy and energy harvesting technologies.


6 Copyright 2011 by John Wiley & Sons, Inc. All rights reserved Published by John Wiley & Sons, Inc., Hoboken, New Jersey Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) , fax (978) , or on the web at Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) , fax (201) , or online at Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages. For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at (800) , outside the United States at (317) or fax (317) Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic formats. For more information about Wiley products, visit our web site at Library of Congress Cataloging-in-Publication Data Kazimierczuk, Marian. Resonant power converters / Marian K. Kazimierczuk, Dariusz Czarkowski. 2nd ed. p. cm. Includes bibliographical references and index. ISBN (cloth) 1. Electric current converters. 2. Electric resonators. 3. Power electronics. I. Czarkowski, Dariusz. II. Title. TK7872.C8K '322 dc Printed in Singapore


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23 PREFACE Energy is considered number one of 10 challenges facing humanity today. Energy processing is a large portion of energy technology. Power electronics is a branch of electrical and electronic engineering concerned with the analysis, simulation, design, manufacture, and application of switching-mode DC-DC power converters. Resonant power conversion is in the center of the renewable energy and energy harvesting technologies. This book is focused on the analysis and design of DC-AC resonant inverters, high-frequency rectifiers, and DC-DC resonant converters that are basic building blocks of various high-frequency, high-efficiency low-noise energy processors. The past two decades have initiated a revolution in and unprecedented growth of power electronics. Continuing advances in this area have resulted in DC and AC energy sources that are smaller, more efficient, lighter, less expensive, and more reliable than ever before. Power processors are widely used in the computer, telecommunication, instrumentation, automotive, aerospace, defense, and consumer industries. DC-DC converters are being used in power supplies to power practically all electronic circuits that contain active devices. The growing escalation in complexity of modern electronic systems is imposing challenging demands on the capabilities of circuit designers. Many design problems encountered in a great diversity of products can be solved using the unique capabilities of resonant technology. Information on resonant power processors is scattered throughout many different technical journals, conference proceedings, and application notes. This volume brings the principles of resonant technology to students, scientists, and practicing design engineers. The stateof-the-art technology of high-frequency resonant power processors is covered in a systematic manner for the first time. The reader will be introduced to the topologies, characteristics, terminology, and mathematics of resonant converters. The xxi

27 ABOUT THE AUTHORS Marian K. Kazimierczuk is Robert J. Kegerreis Distinguished Professor of Electrical Engineering at Wright State University, Dayton, Ohio, USA. He has received M.S., Ph.D., and D. Sei. degrees from the Department of Electronics, Technical University of Warsaw, Warsaw, Poland. He is the author of six books, 145 archival refereed journal papers, 175 conference papers, and seven patents. He is a Fellow of the IEEE. He received the Outstanding Teaching Award from the American Society for Engineering Education (ASEE) in 2008, National Professorship of Technical Sciencies of Poland in 2009, and Southwestern Ohio Council for Higher Education (SOCHE) Award in His honors also include the Board of Trustees' Award, Brage Golding Distinguished Professor of Research Award, Outstanding Faculty Member Award, Excellence in Professional Service Award, and several college Excellence in Teaching Awards. His research interests are in the areas of power electronics, including resonant DC-DC power converters, PWM DC-DC power converters, modeling and controls, RF power amplifiers and oscillators, semiconductor power devices, high-frequency magnetic devices, renewable energy sources, and evanescent microwave microscopy. He has served as an Associate Editor of the IEEE Transactions on Circuits and Systems, IEEE Transactions on Industrial Electronics, Journal of Circuits, Systems and Computers, and International journal of Circuit Theory and Applications. Dariusz Czarkowski is an Associate Professor at the Department of Electrical and Computer Engineering, Polytechnic Institute of New York University, Brooklyn, NY, USA. He received an M.S. degree in electrical engineering from AGH University XXV

30 xxviii LIST OF SYMBOLS /, AC current source i 0 AC load current icf Current through filter capacitance icr Current through the Cf-Ri circuit 'Dk Current through kth diode //} Input current of rectifier is Switch current isk Current through kth switch // Capacitor DC leakage current I m Amplitude of i / nth harmonic of the current to Ri-Cf-rc circuit I p k Magnitude of cross-conduction current Irms rms value of / Icf(rms) rms value of i C f I DM Peak current of diode forms Rms value of diode current ID Average current through diode lo DC output current IOFF Current at which the transistor turns off lomax Maximum value of lo ISM Peak current of switch k Ratio Rhlrc Kj Current transfer function of rectifier L Resonant inductance L e Inductance of electrodes Lf Filter inductance Lfmm Minimum value of Lf L, Inductance of terminations LESL Equivalent series inductance M DC-DC voltage transfer function of converter Mvi Voltage transfer function of inverter Myi Amplitude of the voltage transfer function of inverter Mvs Voltage transfer function of switches Mv r Voltage transfer function of resonant circuit \My r Magnitude of voltage transfer function of resonant circuit MVR Voltage transfer function of rectifier n Transformer turns ratio Pi Input power of rectifier Pic AC conduction loss in filter inductor and capacitor P r Conduction loss in r P r c Conduction loss in filter capacitor P,f Average value of power loss associated with current fall time tf P, r Average value of power loss associated with voltage rise time t r P lo ff Turn-off switching losses Turn-on switching losses P ton

Chapter 9 Resonant Conversion Introduction 9. Sinusoidal analysis of resonant converters 9. Examples Series resonant converter Parallel resonant converter 9.3 Exact characteristics of the series and parallel

Bi-directional power converters for smart grids Isolated bidirectional DC-DC converter Welday Gebremedihn Gerekial Master of Science in Electric Power Engineering Submission date: June 214 Supervisor:

His research interests are in the field of power electronics, in particular dc-dc power resonant and pulse-width modulated (PWM) converters, high-efficiency RF power amplifiers and oscillators, wide-band gap power SiC and GaN power semiconductor devices, modeling and control of power converters, linearization of nonlinear circuits, high-frequency magnetic components, electronic ballasts for fluorescent lamps, power quality, electromagnetic compatibility, probabilistic circuit design, wireless power transfer, renewable energy sources, and engineering education.[9]

Resonant power conversion technology is now at the center of renewable energy and energy harvesting technologies. This book is a practical, systematic guide to the analysis and design of various dc-dc resonant inverters, high-frequency rectifiers, and dc-dc resonant converters that are building blocks of many of today's high-frequency energy processors. It provides a comprehensive overview of existing high-frequency technology, while introducing a number of easy-to-use tools for the analysis and design of resonant power circuits. Containing class-tested material, the book is a valuable reference for students and practicing engineers. be457b7860

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