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Design of Rotating Electrical Machines(Second Edition)
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<Design of Rotating Electrical Machines>一书第二版,2014版,Pyrhonen, J., Jokinen, T., Jokinen, T., 2014. Design of Rotating Electrical Machines. John Wiley & Sons.
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DESIGN OF ROTATING
ELECTRICAL
MACHINES
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DESIGN OF ROTATING
ELECTRICAL
MACHINES
Second Edition
Juha Pyrh
¨
onen
Lappeenranta University of Technology, Finland
Tapani Jokinen
Aalto University, School of Electrical Engineering, Finland
Val
´
eria Hrabovcov
´
a
Faculty of Electrical Engineering, University of
ˇ
Zilina, Slovakia
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This edition first published 2014
C
2014 John Wiley & Sons, Ltd
Registered office
John Wiley & Sons Ltd, The Atrium, Southern Gate, Chichester, West Sussex, PO19 8SQ, United Kingdom
For details of our global editorial offices, for customer services and for information about how to apply for
permission to reuse the copyright material in this book please see our website at www.wiley.com.
The right of the author to be identified as the author of this work has been asserted in accordance with the Copyright,
Designs and Patents Act 1988.
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, electronic, mechanical, photocopying, recording or otherwise, except as permitted by the UK
Copyright, Designs and Patents Act 1988, without the prior permission of the publisher.
Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be
available in electronic books.
Designations used by companies to distinguish their products are often claimed as trademarks. All brand names and
product names used in this book are trade names, service marks, trademarks or registered trademarks of their
respective owners. The publisher is not associated with any product or vendor mentioned in this book.
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. It is
sold on the understanding that the publisher is not engaged in rendering professional services and neither the
publisher nor the author shall be liable for damages arising here from. If professional advice or other expert
assistance is required, the services of a competent professional should be sought.
Library of Congress Cataloging-in-Publication Data
Pyrh
¨
onen, Juha.
Design of rotating electrical machines / Juha Pyrh
¨
onen, Tapani Jokinen, Val
´
eria Hrabovcov
´
a. – Second edition.
pages cm
Includes bibliographical references and index.
ISBN 978-1-118-58157-5 (hardback)
1. Electric machinery–Design and construction. 2. Electric generators–Design and construction. 3. Electric
motors–Design and construction. 4. Rotational motion. I. Jokinen, Tapani, 1937– II. Hrabovcova, Valeria.
III. Title.
TK2331.P97 2013
621.31
042–dc23
2013021891
A catalogue record for this book is available from the British Library.
ISBN: 978-1-118-58157-5
Typeset in 10/12pt Times by Aptara Inc., New Delhi, India
1 2014
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Contents
Preface xi
About the Authors xiii
Abbreviations and Symbols xv
1 Principal Laws and Methods in Electrical Machine Design 1
1.1 Electromagnetic Principles 1
1.2 Numerical Solution 8
1.3 The Most Common Principles Applied to Analytic Calculation 12
1.3.1 Flux Line Diagrams 16
1.3.2 Flux Diagrams for Current-Carrying Areas 22
1.4 Application of the Principle of Virtual Work in the Determination of
Force and Torque 25
1.5 Maxwell’s Stress Tensor; Radial and Tangential Stress 32
1.6 Self-Inductance and Mutual Inductance 36
1.7 Per Unit Values 42
1.8 Phasor Diagrams 45
Bibliography 47
2 Windings of Electrical Machines 48
2.1 Basic Principles 49
2.1.1 Salient-Pole Windings 49
2.1.2 Slot Windings 53
2.1.3 End Windings 54
2.2 Phase Windings 54
2.3 Three-Phase Integral Slot Stator Winding 57
2.4 Voltage Phasor Diagram and Winding Factor 64
2.5 Winding Analysis 72
2.6 Short Pitching 74
2.7 Current Linkage of a Slot Winding 81
2.8 Poly-Phase Fractional Slot Windings 94
2.9 Phase Systems and Zones of Windings 97
2.9.1 Phase Systems 97
2.9.2 Zones of Windings 99
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vi Contents
2.10 Symmetry Conditions 101
2.10.1 Symmetrical Fractional Slot Windings 101
2.11 Base Windings 104
2.11.1 First-Grade Fractional Slot Base Windings 104
2.11.2 Second-Grade Fractional Slot Base Windings 105
2.11.3 Integral Slot Base Windings 106
2.12 Fractional Slot Windings 108
2.12.1 Single-Layer Fractional Slot Windings 108
2.12.2 Double-Layer Fractional Slot Windings 117
2.13 Single- and Double-Phase Windings 124
2.14 Windings Permitting a Varying Number of Poles 127
2.15 Commutator Windings 129
2.15.1 Lap Winding Principles 133
2.15.2 Wave Winding Principles 136
2.15.3 Commutator Winding Examples, Balancing Connectors 139
2.15.4 AC Commutator Windings 143
2.15.5 Current Linkage of the Commutator Winding and
Armature Reaction 144
2.16 Compensating Windings and Commutating Poles 146
2.17 Rotor Windings of Asynchronous Machines 149
2.18 Damper Windings 152
Bibliography 153
3 Design of Magnetic Circuits 155
3.1 Air Gap and its Magnetic Voltage 161
3.1.1 Air Gap and Carter Factor 161
3.1.2 Air Gaps of a Salient-Pole Machine 166
3.1.3 Air Gap of Nonsalient-Pole Machine 172
3.2 Equivalent Core Length 173
3.3 Magnetic Voltage of a Tooth and a Salient Pole 176
3.3.1 Magnetic Voltage of a Tooth 176
3.3.2 Magnetic Voltage of a Salient Pole 180
3.4 Magnetic Voltage of Stator and Rotor Yokes 180
3.5 No-Load Curve, Equivalent Air Gap and Magnetizing Current of the Machine 183
3.6 Magnetic Materials of a Rotating Machine 186
3.6.1 Characteristics of Ferromagnetic Materials 189
3.6.2 Losses in Iron Circuits 194
3.7 Permanent Magnets in Rotating Machines 203
3.7.1 History and Development of Permanent Magnets 203
3.7.2 Characteristics of Permanent Magnet Materials 205
3.7.3 Operating Point of a Permanent Magnet Circuit 210
3.7.4 Demagnetization of Permanent Magnets 217
3.7.5 Application of Permanent Magnets in Electrical Machines 219
3.8 Assembly of Iron Stacks 226
Bibliography 227
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