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2020-12-22
Improving Effectiveness of the Double Layer Method for Modeling of Three-Dimensional Magnetic Field of Electromagnetic Systems
By
Dmitriy M. Filippov,

    Dr. Dmitriy M. Filippov

    Institute of Physics and Technology

    V.I. Vernadsky Crimean Federal University

    Russian Federation

    Homepage

Alexandr A. Shuyskyy,

    Dr. Alexandr A. Shuyskyy

    Institute of Physics and Technology V.I. Vernadsky Crimean Federal University

    Russian

    Homepage

Gennadiy P. Kozik,

    Dr. Gennadiy P. Kozik

    Institute of Physics and Technology

    V.I. Vernadsky Crimean Federal University

    Russia

    Homepage

Dmitry V. Samokhvalov,

    Dr. Dmitry V. Samokhvalov

    Saint Petersburg Electrotechnical University ``LETI''

    Russia

    Homepage

Anatoliy N. Kazak

    Dr. Anatoliy N. Kazak

    Humanities and Education Science Academy (branch)

    V.I. Vernadsky Crimean Federal University

    Russia

    Homepage

Progress In Electromagnetics Research B, Vol. 89, 195-211, 2020
doi:10.2528/PIERB20111105 | Google Scholar

Abstract
When solving the boundary integral equation with respect to the density of a double layer of fictitious magnetic charges in the case of using a piecewise constant approximation of double layer density, the interface conditions for the field vectors are not fulfilled at any point of the interface between ferromagnetic media. The article shows that these interface conditions are satisfied not discretely but integrally. Based on the proposed integral relations, which are derived from the Ampere's Circuital Law, a new system of linear equations is derived. The system of linear equations is obtained with respect to the piecewise constant approximation coefficients of double layer magnetic charge density. The resulting system of equations does not contain the scalar magnetic potential of free sources. Consequently, this numerical model can be directly applied to the analysis of magnetic field in any multiply connected domains without introducing impenetrable partitions or solving an additional boundary value problem for finding scalar magnetic potential.
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Citation
Dmitriy M. Filippov, Alexandr A. Shuyskyy, Gennadiy P. Kozik, Dmitry V. Samokhvalov, and Anatoliy N. Kazak, "Improving Effectiveness of the Double Layer Method for Modeling of Three-Dimensional Magnetic Field of Electromagnetic Systems," Progress In Electromagnetics Research B, Vol. 89, 195-211, 2020.
doi:10.2528/PIERB20111105
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