Inverse Problems in Electric Circuits and Electromagnetics
Inverse Problems in Electric Circuits and Electromagnetics discusses methods of solution of so-called inverse problems that are often encountered in electrical engineering, electronics and electrophysics. The objective of inverse problems’ solut
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Inverse Problems in Electric Circuits and Electromagnetics
V.L, Chechurin Saint Petersburg State Polytechnical University St. Petersburg, Russia
N.V. Korovkin Saint Petersburg State Polyteclinicai University St. Petersburg, Russia
M. Hayakawa Tlie University of Electro-Communications Cliofu City, Tokyo
Springer
N.V. Korovkin Saint Petersburg State Polytechnical University St. Petersburg, Russia V.L. Chechurin Saint Petersburg State Polytechnical University St. Petersburg, Russia M. Hayakawa The University of Electro-Communications Chofu City, Tokyo Inverse Problems in Electric Circuits and Electromagnetics Library of Congress Control Number: 2006932802 ISBN 0-387-33524-2 ISBN 978-0387-33524-7
e-ISBN 0-387-46047-0
Printed on acid-free paper. © 2007 Springer Science+Business Media LLC All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now know or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks and similar terms, even if the are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed in the United States of America. 9 8 7 6 5 4 3 2 1 springer.com
Contents
Preface. Chapter 1 Inverse Problems in Electrical Circuits and Electromagnetic Field Theory
1
1.1 Features of inverse problems in electrical engineering 1.1.1 Properties of inverse problems 1.1.2 Solution methods 1.2 Inverse problems in electric circuits theory 1.2.1 Formulation of synthesis problems 1.2.2 The problem of constructing macromodels (macromodeling) of devices 1.2.3 Identifying electrical circuit parameters 1.3 Inverse problems in electromagnetic field theory 1.3.1 Synthesis problems 1.3.2 Identification problems
26 29 33 35 43
References
45
Chapter 2
The Methods of Optimization of Problems and Their Solution
2.1 Multicriterion inverse problems 2.2 Search of local minima 2.3 Search of objective functional minimum in the presence of constraints 2.4 Application of neural networks 2.5Application of Volterra polynomials for macromodeling 2.6 Search of global minima
1 6 12 18 18
47 47 59 68 85 98 105
VI
Contents 2.6.1 2.6.2
The multistart method and cluster algorithm "Soft" methods
References
Chapter 3
The Methods of Solution of Stiff Inverse Problems
3.1 Stiff inverse problems 3.2 The principle of quasistationarity of derivatives and integrals 3.3 Using linear relationships for solving stiff inverse probems 3.4 The problems of diagnostics and the identification of inverse problems in circuit theory 3.4.1 Methods of identification of linear circuits 3.4.2 Error of identification problem solution 3.5 The metho
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