Magnetostatic analysis by BEM with magnetic double layer as unknown utilizing volume magnetic charge

Kazuhisa Ishibashi, Zoran Andjelic, Yasuhito Takahashi, Tomoaki Takamatsu, Kenta Tsuzaki, Shinji Wakao, Koji Fujiwara, Yoshiyuki Ishihara

    Research output: Contribution to journalArticle

    Abstract

    The volume integral equation approach replaces magnetic materials with the magnetization in magnetostatic analysis. The concept of magnetic shell relates the magnetization with loop currents. The loop current is equivalent to the magnetic double layer, which gives an integral form of the scalar potential. The nonlinear magnetic field is formulated by regarding the nonlinear magnetization as volume magnetic charges. This paper presents how to utilize the volume charge to solve nonlinear problems. In the case of constant volume element we replace the volume charges with the surface loop currents to derive the nonlinear boundary integral equations having the line and surface loop currents as unknowns. The boundary integral equation is solved iteratively while improving alternately the loop and surface currents.

    Original languageEnglish
    Pages (from-to)711-717
    Number of pages7
    JournalInternational Journal of Applied Electromagnetics and Mechanics
    Volume39
    Issue number1-4
    DOIs
    Publication statusPublished - 2012

    Fingerprint

    Magnetostatics
    magnetostatics
    Magnetization
    Boundary integral equations
    integral equations
    Magnetic materials
    magnetization
    Integral equations
    Magnetic fields
    magnetic materials
    scalars
    magnetic fields

    Keywords

    • Boundary integral equation
    • loop currents
    • magnetic charges
    • magnetic double layer
    • nonlinear magnetostatic analysis

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering
    • Mechanical Engineering
    • Mechanics of Materials
    • Condensed Matter Physics
    • Electronic, Optical and Magnetic Materials

    Cite this

    Magnetostatic analysis by BEM with magnetic double layer as unknown utilizing volume magnetic charge. / Ishibashi, Kazuhisa; Andjelic, Zoran; Takahashi, Yasuhito; Takamatsu, Tomoaki; Tsuzaki, Kenta; Wakao, Shinji; Fujiwara, Koji; Ishihara, Yoshiyuki.

    In: International Journal of Applied Electromagnetics and Mechanics, Vol. 39, No. 1-4, 2012, p. 711-717.

    Research output: Contribution to journalArticle

    Ishibashi, Kazuhisa ; Andjelic, Zoran ; Takahashi, Yasuhito ; Takamatsu, Tomoaki ; Tsuzaki, Kenta ; Wakao, Shinji ; Fujiwara, Koji ; Ishihara, Yoshiyuki. / Magnetostatic analysis by BEM with magnetic double layer as unknown utilizing volume magnetic charge. In: International Journal of Applied Electromagnetics and Mechanics. 2012 ; Vol. 39, No. 1-4. pp. 711-717.
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    AU - Andjelic, Zoran

    AU - Takahashi, Yasuhito

    AU - Takamatsu, Tomoaki

    AU - Tsuzaki, Kenta

    AU - Wakao, Shinji

    AU - Fujiwara, Koji

    AU - Ishihara, Yoshiyuki

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