Numerical analysis of 3D magnetostatic fields

Author

Preis, K. ; Bardi, I. ; Biro, O. ; Magele, C. ; Renhart, W. ; Richter, K.R. ; Vrisk, G.

Author_Institution

Graz, Univ. of Technol., Austria

Volume

27

Issue

5

fYear

1991

fDate

9/1/1991 12:00:00 AM

Firstpage

3798

Lastpage

3803

Abstract

Formulations of three-dimensional magnetostatic fields are reviewed for their finite-element analysis. Partial differential equations and boundary conditions are set up for various kinds of potentials. Besides the method using two scalar potentials, several vector potential formulations are also discussed. Galerkin techniques combined with the finite element method are applied for the numerical solution of the boundary value problems. The effect of gauging the vector potential upon the numerical performance is investigated. Solutions by different formulations to a simple test problem and a benchmark problem involving relatively thin saturated iron plates are presented. The latter is compared to measured results.

Keywords

boundary-value problems; finite element analysis; magnetic fields; magnetostatics; partial differential equations; 3D magnetostatic fields; Galerkin techniques; benchmark problem; boundary conditions; boundary value problems; finite-element analysis; gauging; numerical analysis; partial differential equations; relatively thin saturated iron plates; scalar potentials; simple test problem; vector potential formulations; Boundary conditions; Boundary value problems; Finite element methods; Magnetic analysis; Magnetostatics; Moment methods; Numerical analysis; Partial differential equations; Saturation magnetization; Testing;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.104929

Filename

104929