Grayscale-free topology optimization for electromagnetic design problem of in-vehicle reactor

Shintaro Yamasaki*, Atsushi Kawamoto, Akira Saito, Masakatsu Kuroishi, Kikuo Fujita

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


In this paper, we propose grayscale-free topology optimization for a reactor design problem where the electromagnetic performance needs to be optimized. A reactor is an electric device to boost electric voltage, and is used as a part of a DC-DC converter in electric and hybrid vehicles. When designing reactors, we need to consider many performance indicators such as inductance and fringing loss. In general, high-performance reactor design that satisfies all requirements is not obvious, and topology optimization is promising for such non-trivial design problems. In this paper, we therefore establish a framework for the electromagnetic design of an in-vehicle reactor on the basis of boundary tracking type level-set topology optimization, which realizes grayscale-free topology optimization. Because of its grayscale-free characteristic, the established framework can completely resolve the numerical problems caused by the so-called grayscale elements. We present several numerical examples to demonstrate the usefulness of the established framework, and we discuss the possibilities for the expansion of the established framework to more difficult and valuable design problems.

Original languageEnglish
Pages (from-to)1079-1090
Number of pages12
JournalStructural and Multidisciplinary Optimization
Issue number3
Publication statusPublished - 2017 Mar 1
Externally publishedYes


  • Fringing loss
  • Grayscale-free method
  • In-vehicle reactor
  • Inductance
  • Level-set method
  • Topology optimization

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Control and Optimization


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