Nonlinear magnetostatic analysis by unified BIE utilizing potential gap due to loop currents

Kazuhisa Ishibashi*, Zoran Andjelic, Yasuhito Takahashi, Yoshihiro Tawada, Takuya Yoshioka, Shinji Wakao, Koji Fujiwara, Yoshiyuki Ishihara

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Since the line loop current is equivalent to the double layer charge, it gives an integral form of scalar potential. The segmental loop current on the interface between magnetic materials produces a potential gap, which works to give a boundary integral equation (BIE). By virtue of another potential gap due to a fictitious circulating current along the contour of cut-surface in the material, the excitation potential becomes single valued and the BIE becomes applicable to generic problems without any restriction. Regarding the nonlinear magnetic material as composed of segmental materials with different values of permeability, we get the same BIE for the nonlinear analysis as for the linear analysis. In order to check the adequacy and effectiveness of the nonlinear BIE, we solve a typical magnetostatic problem and compare the computed results with those by the conventional magnetic moment method.

Original languageEnglish
Article number6514577
Pages (from-to)1573-1576
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number5
Publication statusPublished - 2013


  • Boundary integral equation
  • double layer charge
  • loop currents
  • nonlinear magnetostatic analysis

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering


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