A Fast Optimization Scheme of Coaxial Magnetic Gears Based on Exact Analytical Model Considering Magnetic Saturation

Hang Zhao, Chunhua Liu, Zaixin Song, Jincheng Yu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

17 Citations (Scopus)


This article presents a harmonic modeling method (HMM) for coaxial magnetic gears (CMGs) by considering the nonlinear B-H curve for soft-magnetic material. CMGs are divided into several annular layers, where Maxwell equation is solved. A convolution matrix of permeability is introduced to obtain the relationship between the magnetic flux density and magnetic field strength, and the continuous boundary conditions can be further satisfied. Subsequently, the magnetic field distribution and electromagnetic performance of CMGs can be calculated by solving the system equations. The computation time and accuracy of HMM are compared with those of finite element analysis (FEA) and subdomain method. The results show that the HMM is relatively fast and precise, and its computation time is about 80% of that of FEA. Then, the parameters of CMGs are optimized based on the HMM and non-dominated sorting genetic algorithm II (NSGA-II) combined optimization method. Particularly, the modulator is divided into multilayers, so its saturation can be modeled more precisely, and its shape can be further optimized. Finally, two optimal cases are evaluated and compared, and the result proves the effectiveness of the integrated optimization method.

Original languageEnglish
Article number9268147
Pages (from-to)437-447
Number of pages11
JournalIEEE Transactions on Industry Applications
Issue number1
Publication statusPublished - 1 Jan 2021
Externally publishedYes


  • Coaxial magnetic gear (CMG)
  • design optimization
  • harmonic modeling method (HMM)
  • magnetic saturation

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering


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