Optimal shape design of flux barriers in IPM synchronous motors using the phase field method

Jae Seok Choi, Takayuki Yamada, Kazuhiro Izui, Shinji Nishiwaki, Heeseung Lim, Jeonghoon Yoo

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


Purpose - The purpose of this paper is to present an optimization method for flux barrier designs in interior permanent magnet (IPM) synchronous motors that aims to produce an advantageous sinusoidal flux density distribution in the air-gap. Design/methodology/approach - The optimization is based on the phase field method using an Allen-Cahn equation. This approach is a numerical technique for tracking diffuse interfaces like the level set method based on the Hamilton-Jacobi equation. Findings - The optimization results of IPM motor designs are highly dependent on the initial flux barrier shapes. The authors solve the optimization problem using two different initial shapes, and the optimized models show considerable reductions in torque pulsation and the higher harmonics of back-electromotive force. Originality/value - This paper presents the optimization method based on the phase field for the design of rotor flux barriers, and proposes a novel interpolation scheme of the magnetic reluctivity.

Original languageEnglish
Article number17111514
Pages (from-to)998-1016
Number of pages19
JournalCOMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering
Issue number3
Publication statusPublished - 2014

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics


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