The method of fundamental solutions with a minimum order formulation applied to 3D eddy current problems

Author

Jingguo, Wang ; Lavers, J.D.

Author_Institution

Dept. of Electr. Eng., Toronto Univ., Ont., Canada

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1359

Lastpage

1362

Abstract

The most salient feature of the method of fundamental solutions is that by locating the source points on an auxiliary boundary, the singular kernels encountered in most boundary element methods (BEMs) are avoided. Therefore, good results can be obtained. The A*-ψ formulation is used in the 3D MFS. Furthermore, by eliminating the dependent coefficients from the equations, the unknowns are reduced by one on each node, as compared to the conventional BEM. In so doing, a minimum-order formulation is obtained. Two examples of the application of the approach are given. Results are compared with analytical solutions, as well as with the conventional BEM solutions

Keywords

boundary-elements methods; eddy currents; 3D eddy current problems; auxiliary boundary; boundary element methods; indirect BEM; method of fundamental solutions; minimum order formulation; source points; Boundary conditions; Coils; Conductors; Eddy currents; Finite element methods; Integral equations; Kernel; Material properties; Nonlinear equations; Robustness;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250651

Filename

250651