Improvements in material-density-based topology optimization for 3-d magnetic circuit design by fem and sequential linear programming method

Yoshifumi Okamoto, Yusuke Tominaga, Shinji Wakao, Shuji Sato

    Research output: Contribution to journalArticle

    18 Citations (Scopus)

    Abstract

    Topology optimization (TO) makes it possible to obtain new structures for electrical machines. The sensitivity-based method, which can cope with some constraint conditions, is suitable for large-scale three-dimensional TO. However, if the material density is defined by unknown variables in TO, elements with intermediate density (grayscale) occasionally appear. The grayscale cannot clearly show the material allocation within its finite element. Thus, we propose a sigmoid-based filtering function to suppress the generation of grayscale. Moreover, because the constraint condition can be simply taken into consideration, sequential linear programming is occasionally utilized as a topology optimizer. However, the convergence characteristics frequently oscillate and are strongly dependent on the move limit that controls the maximum intensity of the correction vector. To overcome this numerical difficulty, we propose an identification technique for the determination of a quasi-optimal move limit (QOML). This paper demonstrates the performance of both the mathematical function filtering grayscale and QOML.

    Original languageEnglish
    Article number6749040
    JournalIEEE Transactions on Magnetics
    Volume50
    Issue number2
    DOIs
    Publication statusPublished - 2014 Feb

    Fingerprint

    Magnetic circuits
    Shape optimization
    Linear programming
    Topology

    Keywords

    • Filtering function
    • material density
    • quasi-optimal move limit
    • sequential linear programming
    • topology optimization

    ASJC Scopus subject areas

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

    Cite this

    Improvements in material-density-based topology optimization for 3-d magnetic circuit design by fem and sequential linear programming method. / Okamoto, Yoshifumi; Tominaga, Yusuke; Wakao, Shinji; Sato, Shuji.

    In: IEEE Transactions on Magnetics, Vol. 50, No. 2, 6749040, 02.2014.

    Research output: Contribution to journalArticle

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