Fundamentals of Electrical Drives

Electrical drives in general play a key role in power generation, household appliances, automotive and industrial applications. The rapidly expanding area of adjustable speed drives as used in robotics, wind turbines and hybrid vehicles is driven by innov

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André Veltman, Duco W.J. Pulle and Rik W. De Doncker

Fundamentals of Electrical Drives With 288 Figures

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Dr.ir. André Veltman Technische Universiteit Eindhoven Dept. of Electrical Engineering P.O. Box 513 5600 MB Eindhoven The Netherlands [email protected]

ISBN-10 ISBN-13 ISBN-10 ISBN-13

1-4020-5503-X (HB) 978-1-4020-5503-4 (HB) 1-4020-5504-8 (ebook) 978-1-4020-5504-1 (ebook)

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springer.com c 2007 Springer  The use of general descriptive names, 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 protective laws and regulations and therefore free for general use. Typesetting: by the authors and techbooks using a Springer LATEX macro package Cover design: design & production GmbH, Heidelberg Printed on acid-free paper

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Contents

Dedication Foreword Preface Acknowledgments Symbol Conventions

v xi xiii xvii xix

1. INTRODUCTION 1.1 Why use electro-mechanical energy conversion? 1.2 Key components of an electrical drive system 1.3 What characterizes high performance drives? 1.4 Notational conventions 1.5 Use of building blocks to represent equations 1.6 Magnetic principles 1.7 Machine sizing principles 1.8 Tutorials for Chapter 1

1 1 4 6 8 9 12 22 23

2. SIMPLE ELECTRO-MAGNETIC CIRCUITS 2.1 Introduction 2.2 Linear inductance 2.3 Coil resistance 2.4 Magnetic saturation 2.5 Use of phasors for analyzing linear circuits 2.6 Tutorials for Chapter 2

29 29 29 32 32 33 36

viii

FUNDAMENTALS OF ELECTRICAL DRIVES

3. THE TRANSFORMER 3.1 Introduction 3.2 Ideal transformer (ITF) concept 3.3 Basic transformer 3.4 Transformer with magnetizing inductance 3.5 Steady-state analysis 3.6 Three inductance model 3.7 Two inductance models 3.8 Mutual and self inductance based model 3.9 Two inductance model with coil resistance 3.10 Tutorials for Chapter 3

45 45 45 49 50 53 55 57 60 62 64

4. THREE-PHASE CIRCUITS 4.1 Introduction 4.2 Star/Wye connected circuit 4.3 Delta connected circuit 4.4 Space vectors 4.5 Amplitude and power invariant space vectors 4.6 Application of space vectors for three-phase circuit analysis 4.7 Relationship between space vectors and phasors 4.8 Tutorials for Chapter 4

75 75 76 80 84 86 89 99 103

5. CONCEPT OF REAL AND REACTIVE POWER 5.1 Introduction 5.2 Power in single phase syst