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

K. Ishibashi, Z. Andjelic, Y. Takahashi, T. Takamatsu, K. Tsuzaki, Shinji Wakao, K. Fujiwara, Y. Ishihara

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Article number6136647
    Pages (from-to)463-466
    Number of pages4
    JournalIEEE Transactions on Magnetics
    Volume48
    Issue number2
    DOIs
    Publication statusPublished - 2012 Feb

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    Magnetostatics
    Boundary integral equations
    Magnetic flux
    Numerical analysis
    Magnetization

    Keywords

    • Boundary integral equation
    • double layer charge
    • fictitious volume charges
    • iterative solutions
    • multi-valued function

    ASJC Scopus subject areas

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

    Cite this

    Ishibashi, K., Andjelic, Z., Takahashi, Y., Takamatsu, T., Tsuzaki, K., Wakao, S., ... Ishihara, Y. (2012). Some treatments of fictitious volume charges in nonlinear magnetostatic analysis by BIE. IEEE Transactions on Magnetics, 48(2), 463-466. [6136647]. https://doi.org/10.1109/TMAG.2011.2174778

    Some treatments of fictitious volume charges in nonlinear magnetostatic analysis by BIE. / Ishibashi, K.; Andjelic, Z.; Takahashi, Y.; Takamatsu, T.; Tsuzaki, K.; Wakao, Shinji; Fujiwara, K.; Ishihara, Y.

    In: IEEE Transactions on Magnetics, Vol. 48, No. 2, 6136647, 02.2012, p. 463-466.

    Research output: Contribution to journalArticle

    Ishibashi, K, Andjelic, Z, Takahashi, Y, Takamatsu, T, Tsuzaki, K, Wakao, S, Fujiwara, K & Ishihara, Y 2012, 'Some treatments of fictitious volume charges in nonlinear magnetostatic analysis by BIE', IEEE Transactions on Magnetics, vol. 48, no. 2, 6136647, pp. 463-466. https://doi.org/10.1109/TMAG.2011.2174778
    Ishibashi, K. ; Andjelic, Z. ; Takahashi, Y. ; Takamatsu, T. ; Tsuzaki, K. ; Wakao, Shinji ; Fujiwara, K. ; Ishihara, Y. / Some treatments of fictitious volume charges in nonlinear magnetostatic analysis by BIE. In: IEEE Transactions on Magnetics. 2012 ; Vol. 48, No. 2. pp. 463-466.
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