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

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)

Abstract

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
Volume52
Issue number3
DOIs
Publication statusPublished - 2016 Mar

Keywords

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

ASJC Scopus subject areas

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

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