TY - JOUR

T1 - Nonlinear magnetostatic analysis by unified BIE utilizing potential gap due to loop currents

AU - Ishibashi, Kazuhisa

AU - Andjelic, Zoran

AU - Takahashi, Yasuhito

AU - Tawada, Yoshihiro

AU - Yoshioka, Takuya

AU - Wakao, Shinji

AU - Fujiwara, Koji

AU - Ishihara, Yoshiyuki

PY - 2013

Y1 - 2013

N2 - 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.

AB - 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.

KW - Boundary integral equation

KW - double layer charge

KW - loop currents

KW - nonlinear magnetostatic analysis

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U2 - 10.1109/TMAG.2013.2242434

DO - 10.1109/TMAG.2013.2242434

M3 - Article

AN - SCOPUS:84877863527

VL - 49

SP - 1573

EP - 1576

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

SN - 0018-9464

IS - 5

M1 - 6514577

ER -