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Scott D. Sudhoff

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Power Magnetic Devices Discover a cutting-edge discussion of the design process for power magnetic devices In the newly revised second edition of Power Magnetic Devices: A Multi-Objective Design Approach, accomplished engineer and author Dr. Scott D. Sudhoff delivers a thorough exploration of the design principles of power magnetic devices such as inductors, transformers, and rotating electric machinery using a systematic and consistent framework. The book includes new chapters on converter and inverter magnetic components (including three-phase and common-mode inductors) and elaborates on characteristics of power electronics that are required knowledge in magnetics. New chapters on parasitic capacitance and finite element analysis have also been incorporated into the new edition. The work further includes: * A thorough introduction to evolutionary computing-based optimization and magnetic analysis techniques * Discussions of force and torque production, electromagnet design, and rotating electric machine design * Full chapters on high-frequency effects such as skin- and proximity-effect losses, core losses and their characterization, thermal analysis, and parasitic capacitance * Treatments of dc-dc converter design, as well as three-phase and common-mode inductor design for inverters * An extensive open-source MATLAB code base, PowerPoint slides, and a solutions manual Perfect for practicing power engineers and designers, Power Magnetic Devices will serve as an excellent textbook for advanced undergraduate and graduate courses in electromechanical and electromagnetic design.

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IEEE Press445 Hoes LanePiscataway, NJ 08854

IEEE Press Editorial BoardEkram Hossain, Editor in Chief

Jón Atli Benediktsson  

Xiaoou Li  

Jeffrey Reed

Anjan Bose  

Lian Yong  

Diomidis Spinellis

David Alan GrierElya B. Joffe  

Andreas MolischSaeid Nahavandi  

Sarah SpurgeonAhmet Murat Tekalp

Power Magnetic Devices

A Multi‐Objective Design Approach

Second Edition

Scott D. Sudhoff

Copyright © 2022 by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

Published by John Wiley & Sons, Inc., Hoboken, New Jersey.Published simultaneously in Canada.

Edition HistoryJohn Wiley & Sons, Inc (1e, 2014);

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) 750‐8400, fax (978) 750‐4470, or on the web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748‐6011, fax (201) 748‐6008, or online at http://www.wiley.com/go/permission.

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. Further, readers should be aware that websites listed in this work may have changed or disappeared between when this work was written and when it is read. 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.

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Library of Congress Cataloging‐in‐Publication Data:

Names: Sudhoff, Scott D., author.Title: Power magnetic devices : a multi-objective design approach / Scott D. Sudhoff.Description: Second edition. | Hoboken, NJ : Wiley, [2021] | Series: Eee press series on power and energy systems | Includes bibliographical references and index.Identifiers: LCCN 2021031537 (print) | LCCN 2021031538 (ebook) | ISBN 9781119674603 (hardback) | ISBN 9781119674641 (adobe pdf) | ISBN 9781119674634 (epub)Subjects: LCSH: Electromagnetic devices. | Power electronics. | Electric machinery.Classification: LCC TK7872.M25 S83 2022 (print) | LCC TK7872.M25 (ebook) | DDC 621.3–dc23LC record available at https://lccn.loc.gov/2021031537LC ebook record available at https://lccn.loc.gov/2021031538

Cover Design: WileyCover Images: (center) Courtesy of Scott D. Sudhoff, (top) © Sam Robinson/Getty Images

To my wife Julie for 38 wonderful years and countingTo my daughter Emily. Hy‐potenuseTo my daughter Samantha. Boiler Up!

In memory of my mother, Mary Louise Sudhoff, 1931–2017To my FatherIn memory of my brothers, Doug Sudhoff, 1958–2021, and Brian Sudhoff, 1961–1964To my brother Steve

Author Biography

Scott D. Sudhoff received the BS (highest distinction), MS, and PhD degrees in electrical engineering from Purdue University in 1988, 1989, and 1991, respectively. From 1991 to 1993, he served as a consultant for PC Krause and Associates in aerospace power and actuation systems. From 1993 to 1997, he served as a faculty member at the University of Missouri‐Rolla, and in 1997, he joined Purdue University where he currently serves as the Michael and Katherine Birck Professor of Electrical and Computer Engineering.

Professor Sudhoff has worked for over 30 years in electric machinery, drives, and power‐electronics‐based distribution systems. His research sponsors have included the US Navy, Army, Air‐Force, DOE, and NASA, as well as many industrial partners. This work has resulted in 6 patents and the graduation of over 30 doctoral students.

He has nearly 100 journal publications and over 100 conference publications including 5 prize papers. He is a co‐author of Analysis of Electric Machinery and Drives Systems, second and third editions, both published by IEEE Press/Wiley. In 2006, he won the IEEE Power Engineering Society Cyril Veinott Electromechanical Energy Conversion Award for outstanding contributions to the field of electromechanical energy conversion. In 2008, he became an IEEE Fellow. He served as editor‐in‐chief of IEEE Transactions on Energy Conversion from 2007 to 2013 and the editor‐in‐chief of IEEE Power and Energy Systems Technology Journal (which later become IEEE Open Access Journal of Power and Energy) from 2013 to 2019.

His interests include electric machinery, power electronics, marine and aerospace power systems, applied control, power magnetics, and evolutionary computing. Much of his current research focuses on genetic algorithms and their application to power electronic converter and electric machine design.

Outside of power magnetics, his interests include running and astronomical imaging where he specializes in planetary nebula and peculiar galaxies.

Preface

This work is intended either as a text book for a senior‐level/beginning graduate‐level course, or as a resource for the practicing engineer. There are three objectives for the text. The first is to set forth a systematic multi‐objective‐optimization‐based approach for the semi‐automated design of power magnet components. A second objective of the text is to discuss physical principals and analysis necessary for the design of power magnetic devices including fields, magnet equivalent circuit analysis, core loss, eddy current losses, thermal analysis, skin and proximity effect, and the like. The third objective of the text is to provide some fundamental background in a variety of devices including inductors, electromagnets, transformers, and rotating electric machinery. It is not the intent to provide a cookbook of design information for all devices. Rather, it is intended a position to leave the reader well poised to start adapting the approach to specific devices of interest to their work—whether it be a transformer or a novel type of rotating machine.

From a pedagogical point of view, the organization of the text is designed to involve the readers in the design process as rapidly as possible. While it might be more efficient to discuss all the relevant physical effects, and then to discuss the design, such an approach is not always satisfying in that it leaves the reader hungry for a meal a long time before dinner is served. For that reason, the first thirteen chapters of the text generally alternate between discussing a physical effect and considering a design problem in which that effect is considered.

Chapter 1 introduces multi‐objective optimization using genetic algorithms. This chapter provides a sufficient background to conduct formal multi‐objective optimization‐based design. Next, Chapter 2 provides a background in the magnetic analysis that is used throughout the book. Formal design is introduced in Chapter 3, wherein a simple inductor design is considered, using the material from Chapters 1 and 2. In Chapter 4, force and torque production are considered – and in Chapter 5 this material is used in simple electromagnet design. Chapter 6 concerns magnetic core loss. In this second edition, this chapter has been greatly expanded to include characterization of magnetic materials, as well as to include more information on modeling of magnetic hysteresis. Chapter 7 uses the magnetic core loss models in the design of a single‐phase transformer. The alternating pattern of analysis and design continues, with Chapters 8 and 9 focusing on the rotating machinery.

The text then continues with three primarily analysis chapters to supplement the earlier work, with Chapter 10 focusing on thermal analysis (and revisiting some of the earlier design efforts), Chapter 11 discussing skin and proximity effect losses, and Chapter 12 focusing on parasitic capacitance. The material of these chapters is then tied together in Chapter 13, which considers the design of a dc‐to‐dc converter. Chapters 12 and 13 are new to the 2nd edition, as are Chapters 14, the design of three‐phase inductors, and Chapter 15, which focuses on the design of common‐mode inductors. The book concludes with Chapter 16, that is also new, which introduces finite element analysis as a method to validate designs.

The amount of material is adequate for two courses. The author recommends that Chapter 1 through Chapter 6 be covered as a starting point. The remaining chapters could be covered at that discretion of the instructor or the reader.

Chapters 8 and 9 are based on Chapters 2 and 15 of Analysis of Electric Machinery and Drive Systems, 3rd Edition, by Paul Krause, Oleg Wasynczuk, Scott Sudhoff, and Steve Pekarek. This work is also published by IEEE/Wiley.

MATLAB source code to support this book is given in S. D. Sudhoff, “MATLAB codes for Power Magnetic Devices: A Multi‐Objective Design Approach, 2nd Edition” [Online]. Available: http://booksupport.wiley.com. This code includes the Genetic Optimization System Engineering Toolbox, a Magnetic Equivalent Circuit Toolbox, a Thermal Equivalent Circuit Toolbox, as well as all the design examples discussed in the book. This should greatly reduce the amount of work needed to either to teach from the book, or to use the principals taught in this text for the reader’s own purposes. Partially annotated slides and a solutions manual are also available.

Throughout this work, scalar variables are normally in italic font (for example) while vectors and matrices are bold non‐italic (for example). Functions of all dimensionalities are denoted by non‐italic non‐bold font (for example). Brackets in equations are associated with iteration number in iterative methods.

The author of this book is deeply indebted to many individuals. First, to my parents, who gave me the time, support, and indulgence for me to pursue my interests. While in high‐school, I was blessed with many excellent teachers. I am particularly indebted to Sister Thomasita Hayes. As an undergraduate, I was also fortunate to have some outstanding instructors – particularly Stanislaw Zak in control and optimization, Fred Mowle who taught me how to code, and Paul Krause, who taught me electric machinery. I spent the beginning part of my career at the University of Missouri – Rolla where I was fortunate to have a number of excellent mentors including Keith Stanek, Max Anderson, and especially Mariesa Crow and Jim Drewniak.

I would thank many current and former students, post docs, and research scientists who directly or indirectly contributed to this book. These include Benjamin Loop, Chunki Kwon, Jim Cale, Aaron Cramer, Brandon Cassimere, Brant Cassimere, Chuck Sullivan, Ricky Chan, Shengyu Wang, Yonggon Lee, Cahya Harianto, Jacob Krizan, Grant Shane, Omar Laldin, Ahmed Taher, Jamal Alsawhali, Harish Suryanarayana, and Jonathan Crider. Jamal Alsawalhi, Grant Shane, Jonathan Crider, Ahmed Taher, Ruiyang Lin, David Loder, Andrew Kasha, Vinicius Cabral Do Nascimento, Akhil Prasad, and Harshita Singh contributed in performing many of the FEA and/or experimental results in the book. I would also especially thank Dionysios Aliprantis for sparking my interest in genetic algorithms.

A variety of U.S. government agencies have contributed to research efforts which contributed to this book, including the Army, Navy, DOE, Sandia National Labs, NREL, ORNL, and NASA. The Office of Naval Research in particular has provided steady support for my entire career which directly and indirectly supported this work, and without which this work would not have been possible. The support of the Grainger Foundation has also been very important to the program at Purdue.

I would thank my colleagues at Purdue. A key attribute of any institution is the people your work with. With this regard, my colleagues at Purdue, namely Oleg Wasynczuk, Steve Pekarek, and Dionysios Aliprantis, are a great group.

Finally, I had some extra help with the second edition. Special thanks to Dr. Harshita Singh, who thoroughly reviewed Chapters 10 and 12. Dr Paul Ohodnicki (University of Pittsburg) and Drummond Fudge (Continuous Solutions) provided great feedback on Chapters 13, 14, and 15. Dr. Jamal Alsawalhi (Khalifa University) provided detailed reviews on Chapters 6 and 16. Finally, Dr Steve Pekarek (Purdue University) also reviewed Chapter 16. I am greatly indebted to all of these individuals for contributing so much time to the second edition of this book.

About the Companion Site

This book is accompanied by a companion website:

www.wiley.com/go/sudhoff/Powermagneticdevices

The website includes the following materials: Powerpoint slides, Solutions manual, Matlab code