Inverse Problems in Electric Circuits and Electromagnetics[原版非扫描]:Contents
Preface.
Chapter 1 Inverse Problems in Electrical Circuits and
Electromagnetic Field Theory 1
1.1 Features of inverse problems in electrical engineering 1
1.1.1 Properties of inverse problems 6
1.1.2 Solution methods 12
1.2 Inverse problems in electric circuits theory 18
1.2.1 Formulation of synthesis problems 18
1.2.2 The problem of constructing macromodels
(macromodeling) of devices 26
1.2.3 Identifying electrical circuit parameters 29
1.3 Inverse problems in electromagnetic field theory 33
1.3.1 Synthesis problems 35
1.3.2 Identification problems 43
References 45
Chapter 2 The Methods of Optimization of Problems
and Their Solution 47
2.1 Multicriterion inverse problems 47
2.2 Search of local minima 59
2.3 Search of objective functional minimum in the presence
of constraints 68
2.4 Application of neural networks 85
2.5Application of Volterra polynomials for macromodeling 98
2.6 Search of global minima 105
2.6.1 The multistart method and cluster algorithm 107
2.6.2 "Soft" methods 109
References 119
Chapter 3 The Methods of Solution of Stiff
Inverse Problems 121
3.1 Stiff inverse problems 121
3.2 The principle of quasistationarity of derivatives and
integrals 136
3.3 Using linear relationships for solving stiff inverse
probems 151
3.4 The problems of diagnostics and the identification
of inverse problems in circuit theory 156
3.4.1 Methods of identification of linear circuits 159
3.4.2 Error of identification problem solution 161
3.5 The method of stiff diagnostics and identification
problems solutions 168
3.5.1 AppHcation of the principle of repeated
measurements for solution of electric
circuits' identification problem 168
3.5.2 Definition of linear connections between
parameters of circuit mathematical models 169
3.5.3 Algorithm and results of electric circuits'
identification problem solution using repeated
measurements 172
3.6 Inverse problems of localization of disturbance sources
in electrical circuits by measurement of voltages in
the circuit's nodes 181
References 191
Chapter 4 Solving Inverse Electromagnetic Problems
by the Lagrange Method 193
4.1 Reduction of an optimization problem in a stationary field
to boundary-value problems 193
4.2 Calculation of adjoint variable sources 202
4.3 Optimization of the shape and structure of bodies in
various classes of media 213
4.4 Properties and numerical examples of the Lagrange method 220
4.4.1 Focusing of magnetic flux 221
4.4.2 Redistribution of magnetic flux 223
4.4.3 The extremum of electromagnetic force 229
4.4.4 Identification of substance distribution 231
4.4.5 Creation of a homogeneous magnetic field 234
4.5 Features of numerical optimization by the Lagrange method 239
4.6 Optimizing the medium and source distribution in
non-stationary electromagnetic fields 242
References 249
Chapter 5 Solving Practical Inverse Problems 251
5.1 Search for lumped parameters of equivalent circuits
in transmission lines 251
5.2 Optimization of forming lines 262
5.3 The problems of synthesis of equivalent electric
parameters in the frequency domain 275
5.4 Optimization of current distribution over the conductors
of 3-phase cables 285
5.5 Search of the shape of a deflecting magnet polar tip
for producing homogeneous magnetic field 296
5.6 Search of the shape of magnetic quadrupole lens polar
tip for accelerating a particle 301
5.7 Optimum distribution of specific electric resistance
of a conductor in a magnetic field pulse 306
References 315
Appendices
Appendix A A Method of Reduction of an Eddy Magnetic
Field to a Potential One 317
Appendix B The Variation of a Functional 323
Index 325
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