Topology Optimization Based on Regularized Level-Set Function for Solving 3-D Nonlinear Magnetic Field System with Spatial Symmetric Condition

Yoshifumi Okamoto, Shinji Wakao, Shuji Sato

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    14 Citations (Scopus)


    Topology optimization (TO) is an effective method for producing practical design of electrical machines. TO is conventionally implemented based on the material density; however, this approach can yield a large number of grayscale areas and unfeasible shapes. On the other hand, when the level-set function is applied to the TO of the magnetic field problem, the potential for obtaining a feasible solution improves. This paper implemented a TO method that uses the regularized level-set function to solve the 3-D nonlinear magnetic field problem. Furthermore, a spatial symmetry condition (SSC), which can introduce the mirror and periodic symmetry of the level-set function from the viewpoint of the electromagnetism, is proposed. To achieve symmetry in the electromagnetic field distribution, the validity of the SSC is investigated and confirmed in a 3-D magnetic shielding problem.

    Original languageEnglish
    Article number7402204
    JournalIEEE Transactions on Magnetics
    Issue number3
    Publication statusPublished - 2016 Mar 1



    • Level set function
    • regularization
    • spatial symmetry condition
    • topology optimization

    ASJC Scopus subject areas

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

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