Three-dimensional eddy current calculation by an adaptive three-component boundary element algorithm

Author

Yuan, Jiansheng ; Ma, Xinshan ; Cui, Xiang

Author_Institution

Dept. of Electr. Eng., Tsinghua Univ., Beijing, China

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1275

Lastpage

1278

Abstract

An adaptive technique of calculating three-dimensional eddy currents by using the three-component boundary element algorithm is presented. The three-component algorithm is a minimum-order boundary element method in the calculation of three-dimensional eddy currents, which employs only three scalar unknowns on each mesh node, so that about 40% computer memory and 50% computational time can be saved relative to the conventional four-component algorithm that usually employs a scalar and a three-component vector as unknowns. The error estimate of the three-component algorithm and the implementation of the adaptive technique are described. The error estimate is based on the residue of the boundary element equation at the non-collocation mesh nodes. The adaptive technique is able to save computer memory and increase the accuracy of the solution greatly

Keywords

adaptive systems; boundary-elements methods; computational complexity; eddy currents; error analysis; physics computing; 3D eddy current calculation; adaptive technique; adaptive three-component boundary element algorithm; boundary element equation; computational time; computer memory; error estimate; mesh node; minimum-order boundary element method; noncollocation mesh nodes; residue; solution accuracy; Character generation; Computer errors; Current density; Eddy currents; Integral equations; Magnetic fields; Mesh generation; Software algorithms;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582487

Filename

582487