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Nonlinear magnetostatic BEM formulation using one unknown double layer charge

Kazuhisa Ishibashi (Corporate Research, ABB Switzerland Ltd, Baden, Switzerland)
Zoran Andjelic (Corporate Research, ABB Switzerland Ltd, Baden, Switzerland)

Abstract

Purpose

The purpose of this paper is to solve generic magnetostatic problems by BEM, by studying how to use a boundary integral equation (BIE) with the double layer charge as unknown derived from the scalar potential.

Design/methodology/approach

Since the double layer charge produces only the potential gap without disturbing the normal magnetic flux density, the field is accurately formulated even by one BIE with one unknown. Once the double layer charge is determined, Biot‐Savart's law gives easily the magnetic flux density.

Findings

The BIE using double layer charge is capable of treating robustly geometrical singularities at edges and corners. It is also capable of solving the problems with extremely high magnetic permeability.

Originality/value

The proposed BIE contains only the double layer charge while the conventional equations derived from the scalar potential contain the single and double layer charges as unknowns. In the multiply connected problems, the excitation potential in the material is derived from the magnetomotive force to represent the circulating fields due to multiply connected exciting currents.

Keywords

Citation

Ishibashi, K. and Andjelic, Z. (2011), "Nonlinear magnetostatic BEM formulation using one unknown double layer charge", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 30 No. 6, pp. 1870-1884. https://doi.org/10.1108/03321641111168165

Publisher

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Emerald Group Publishing Limited

Copyright © 2011, Emerald Group Publishing Limited