Electromagnetic Field Novel Equivalent Source Method

Author: Yan Zhaowen
Publisher:
Publish Date: 2003-11-01
Features: How to quickly, efficiently, and accurately calculate electromagnetic field problems is one of the hot topics for scientists and engineers engaged in numerical analysis of electromagnetic fields. Before the 1950s, numerical analysis of electromagnetic fields primarily relied on analytical or approximate analytical methods. After the invention of digital computers, significant advancements were made in numerical analysis of electromagnetic fields. Methods such as the Finite Difference Method (FDM), Finite Element Method (FEM), Integral Equation Method, Equivalent Source Method, and Method of Moments have become relatively mature, but each has its own scope of application. The proposal of a new type of equivalent source method for electromagnetic fields establishes a bridge between analytical and numerical methods, greatly simplifying the solution of many problems. The characteristics of this method are as follows: the unknown function in the partial differential equation is expanded using a series of eigenfunction solutions that satisfy the equation, and the determination of the undetermined coefficients in the general solution is achieved through point matching or the least squares method. In this method, the number and positions of equivalent sources can be specified, and the field distribution expression takes the form of a series. The calculation accuracy of the field can be determined by the number of equivalent sources and the number of terms in the series, making it more scientific than traditional equivalent source methods that rely on empirical determination of the number of equivalent sources and are more convenient for practical applications. This book is the first comprehensive scientific monograph in China to introduce the new equivalent source method for electromagnetic fields. It features a rigorous theoretical framework and numerous computational examples, covering both static field and eddy current field applications. This book is suitable for technicians in electrical engineering, university teachers, senior undergraduate students, and graduate students for reference.