TY - JOUR

T1 - Some treatments of fictitious volume charges in nonlinear magnetostatic analysis by BIE

AU - Ishibashi, K.

AU - Andjelic, Z.

AU - Takahashi, Y.

AU - Takamatsu, T.

AU - Tsuzaki, K.

AU - Wakao, S.

AU - Fujiwara, K.

AU - Ishihara, Y.

PY - 2012/2

Y1 - 2012/2

N2 - The scalar potential formulation by the boundary integral equation approach is attractive for numerical analysis but has fatal drawbacks due to a multi-valued function in current excitation. We derive an all-purpose boundary integral equation with double layer charges as the state variable and apply it to nonlinear magnetostatic problems by regarding the nonlinear magnetization as fictitious volume charges. We investigate two approaches how to treat the fictitious charges. In discretization by the constant volume element, a surface loop current is introduced for the volume charge. By the linear volume element, the fictitious charges are evaluated on the condition that the divergence of the magnetic flux density is zero. We give a comparative study of these two approaches.

AB - The scalar potential formulation by the boundary integral equation approach is attractive for numerical analysis but has fatal drawbacks due to a multi-valued function in current excitation. We derive an all-purpose boundary integral equation with double layer charges as the state variable and apply it to nonlinear magnetostatic problems by regarding the nonlinear magnetization as fictitious volume charges. We investigate two approaches how to treat the fictitious charges. In discretization by the constant volume element, a surface loop current is introduced for the volume charge. By the linear volume element, the fictitious charges are evaluated on the condition that the divergence of the magnetic flux density is zero. We give a comparative study of these two approaches.

KW - Boundary integral equation

KW - double layer charge

KW - fictitious volume charges

KW - iterative solutions

KW - multi-valued function

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U2 - 10.1109/TMAG.2011.2174778

DO - 10.1109/TMAG.2011.2174778

M3 - Article

AN - SCOPUS:84856385596

SN - 0018-9464

VL - 48

SP - 463

EP - 466

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 2

M1 - 6136647

ER -