Inverse Problems in Electric Circuits and Electromagnetics (Mathematical and Analytical Techniques with Applications to Engineering)

The design and development of electrical devices involves choosing from many possible variants that which is the best or optimum according to one or several criteria. These optimization criteria are usually already clear to the designer at the statement of the design problem. The methods of optimization considered in this book, allow us to sort out variants of the realization of a design on the basis of these criteria and to create the best device in the sense of the set criteria. Optimization of devices is one of the major problems in electrical engi­ neering that is related to an extensive class of inverse problems including synthesis, diagnostics, fault detection, identification, and some others with common mathematical properties. When designing a device, the engineer ac­ tually solves inverse problems by defining the device structure and its pa­ rameters, and then proceeds to deal with the technical specifications followed by the incorporation of his own notions of the best device. Frequently the so­ lutions obtained are based on intuition and previous experience. New meth­ ods and approaches discussed in this book will add mathematical rigor to these intuitive notions. By virtue of their urgency inverse problems have been investigated for more than a century. However, general methods for their solution have been developed only recently. An analysis of the scientific literature indicates a steadily growing interest among scientists and engineers in these problems.

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’ solution is to assure that the manufacturing of devices are optimal by specified criteria. Approaches stated in the book show ways of making devices that ensure best electromagnetic performance, minimal weight and thermal emission. These approaches can be applied for modernization of existing devices as well as to improve their technical features or to extend their operational life.

This text treats important new methods in inverse problems in electromagnetics. The inverse problems such as synthesis, diagnostics, fault detection, and identification are becoming one of the most important subjects in the field because of the significant practical applications to electric circuits and electromagnetics.

This book introduces the recent achievements in mathematics and computing, while focusing on an approach to inverse problems that provides numerical solutions. The text systematically supplies descriptions of the most important practical inverse problems and the methods to solve them, thereby providing the reader with the best application for these intuitive processes. Also included are descriptions of the properties of inverse problems and known methods of their solution as well as the practical implementation of these methods in electric circuits theory and electromagnetic field theory.

Basic attention is given to clarity and simplicity. This book is comprehensible enough for students that have taken a course in electrical engineering or in electronics. All approaches and methods of solution of inverse problems are supplied by numerous examples. These examples are educational, in addition to existing as solid examples for engineering problemsimportant for practice. The authors have planned this book for students of electrotechnics, electronics, electrophysics and other specialties who are training for practical work, as well as for specialists already working in the field.