A Novel Quasi-3D Analytical Model for Axial Flux Motors Considering Magnetic Saturation

Hang Zhao, K. T. Chau, Tengbo Yang, Zaixin Song, Chunhua Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

15 Citations (Scopus)


The magnetic field calculation for axial flux motors (AFMs) is always intricate and time-consuming. To this end, a fast quasi-three-dimensional (3D) analytical model is proposed in this paper for magnetic field prediction in AFMs. The 3D magnetic field problem can be simplified into a two-dimensional (2D) one by dividing the AFM into several annular slices in the radial direction. Then, for the first time, the harmonic modeling method (HMM) in Cartesian coordinates is adopted to solve the magnetic field in these slices cut from the AFM. The corresponding electromagnetic parameters of the AFM can be acquired subsequently. The critical step for the field prediction of using HMM in Cartesian coordinates is to adopt a variable substitution method when solving the partial differential equations. Next, the magnetic saturation of soft-magnetic material within AFMs is considered by adopting an iterative approach. Ultimately, the effectiveness of the proposed quasi-3D analytical model is validated by the nonlinear finite element analysis (FEA). The proposed analytical model is computationally efficient, which makes it suitable for the preliminary design of AFMs.

Original languageEnglish
Pages (from-to)1358-1368
Number of pages11
JournalIEEE Transactions on Energy Conversion
Issue number2
Publication statusPublished - 1 Jun 2022
Externally publishedYes


  • Axial flux motor
  • cartesian coordinates
  • harmonic modeling method
  • magnetic saturation
  • variable substitution

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


Dive into the research topics of 'A Novel Quasi-3D Analytical Model for Axial Flux Motors Considering Magnetic Saturation'. Together they form a unique fingerprint.

Cite this