Convergence Acceleration of Topology Optimization Based on Constrained Level Set Function Using Method of Moving Asymptotes in 3-D Nonlinear Magnetic Field System

Yoshifumi Okamoto, Hiroshi Masuda, Yutaro Kanda, Reona Hoshino, Shinji Wakao

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    9 Citations (Scopus)


    Topology optimization (TO) has advantages over shape optimization; for example, the design space is wider and the degrees of the shape freedom is larger. The convergence characteristic in the conventional level set (LS) method is slow because of the limitation of the time step size that is used for solving the simplified Hamilton-Jacobi equation, which is normally defined as the width of one finite element in the design domain. To overcome this difficulty, convergence acceleration using the method of moving asymptotes is investigated. The performance of the proposed method is compared with the conventional LS method for a 3-D TO problem regarding the magnetic shielding and an interior permanent magnet motor in a 3-D nonlinear magnetostatic field.

    Original languageEnglish
    Article number7855785
    JournalIEEE Transactions on Magnetics
    Issue number6
    Publication statusPublished - 2017 Jun 1



    • Heaviside function
    • level set (LS) function
    • method of moving asymptotes (MMA)
    • nonlinear magnetic field
    • topology optimization (TO)

    ASJC Scopus subject areas

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

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