Circuit Analysis for Power Engineering Handbook
The study of circuits is the foundation on which most other courses in the electrical engineering curriculum are based. For this reason the first course in circuit analysis must be appropriate to the succeeding specializations, which may be classified int
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Circuit Analysis for Power Engineering Handbook Arieh L. Shenkman
SPRINGER SCIENCE+BUSINESS MEDIA, B.V
A c.I.P. Catalogue record for this book is available from the Library of Congress
ISBN 978-1-4613-7418-3 ISBN978-1-4615-5299-4 (eBook) DOI 10.1007/978-1-4615-5299-4
Printed an acid-free paper
All Rights Reserved © 1998 Springer Science+Business Media Dordrecht Originally published by K1uwer Academic Publishers in1998 Softcover reprint ofthe hardcover Ist edition 1998 No part of the material protected by this copyright notice may be reproduced or uti1ized in any form ar by any means, electronic or mechanical, including photocopying, recording, ar by any informati an storage and retrieval system, without prior permission from the copyright owner.
To my wife Iris
Contents
1 Topological methods of circuit analysis 1.1 1.2 1.3 1.4 1.5 1.6 1.7
Introduction The concept of a graph Incidence, loop and mesh matrices Generalized matrix approach in circuit analysis Tellegen's theorem and conservation of energy Dual graphs and dual circuits Computer-aided analysis of very complex circuits
2 Sinusoidal steady-state analysis 2.1 Introduction 2.2 The phasor concept and complex representation of sinusoids 2.3 Phasor relationships for R, Land C elements; complex impedance and admittance 2.4 Analysis of complex a.c. circuits 2.5 Resonance in a.c. circuits 2.6 Energy and power in a.c. circuits 2.7 Linear and circle diagrams 3 Magnetically Coupled Circuits 3.1 3.2 3.3 3.4 3.5 3.6 3.7
Introduction Mutual inductance Series and parallel connections of coupled elements Energy storage and power transfer Transformers Resonance in coupled circuits Circuits with more than two coupled elements
4 Three-phase systems 4.1 Introduction 4.2 Polyphase circuits
1 1 7 14 41 44 49 57 57 59 73 83 132 159 188 201 201 202 213 232 239 271 283 295 295 296
Contents
Vlll
Three-phase generators Three-phase connections Power measurements in three-phase systems Three-phase transformers The rotating magnetic field The principle of induction (asynchronous) and synchronous machines 4.9 Symmetrical components 4.3 4.4 4.5 4.6 4.7 4.8
307 316 349 360 371 384 400
5 Non-sinusoidal behavior of electric circuits 5.1 Introduction 5.2 Fourier series 5.3 Circuit analysis for non-sinusoidal functions 5.4 Characteristics of non-sinusoidal functions 5.5 Power due to non-sinusoidal voltages and currents 5.6 Factors characterizing non-sinusoidal waves 5.7 Harmonics in three-phase systems
447 448 477 496 501 512 518
6 Transmission lines
527
6.1 Introduction 6.2 Transmission line (TL) parameters 6.3 Transmission line equations 6.4 Sinusoidal response of a transmission line 6.5 Waves in transmission lines 6.6 Solution of transmission line equations 6.7 Characteristic parameters of a transmission line 6.8 Some properties of transmission lines 6.9 A transmission line in various operating conditions 6.10 Equivalent circuit of a transmission line 6.11 Ladder network as a TL model 7 Transient analysis using Laplace transform techniques
7.1 7.2 7.3 7.4 7.5 7.6
