Shape Optimization of Soft Magnetic Composites Using Level-Set Method

Xiaotao Ren*, Adrien Thabuis, Antti Hannukainen, Yves Perriard

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


Soft magnetic composites (SMCs) possess promising electromagnetic characteristics and attract intense research and application interest in the engineering community. Fabrication of composites with customized architecture is feasible due to the recent advances in additive manufacturing techniques. The systematic progress of computational optimization has opened up the possibility of devising such structures. This article aims to optimally design the shape of inclusion in SMCs. Their advantages are potentially high magnetic permeability and low eddy current losses at a certain volume fraction of the iron material. The shape derivative is calculated for the descent direction and the level-set method is used to evolve the domain. We implement the algorithm in 2-D space considering the linear magnetic behavior of iron. In this article, the objective is the effective magnetic permeability at a given volume fraction of inclusion for magnetostatics.

Original languageEnglish
Article number9371717
Number of pages8
JournalIEEE Transactions on Magnetics
Issue number5
Publication statusPublished - May 2021
MoE publication typeA1 Journal article-refereed


  • Adjoint formulation
  • effective permeability
  • finite element method (FEM)
  • Hamilton-Jacobi equation
  • shape derivative


Dive into the research topics of 'Shape Optimization of Soft Magnetic Composites Using Level-Set Method'. Together they form a unique fingerprint.

Cite this