General analytical method for magnetic field analysis of Halbach magnet arrays based on magnetic scalar potential

Ping Jin, Yue Yuan, Heyun Lin, Shuhua Fang, Siu Lau Ho

Research output: Journal article publicationJournal articleAcademic researchpeer-review

12 Citations (Scopus)


This paper presents a general analytical method for predicting the magnetic fields of different Halbach magnet arrays with or without back iron mounted on slotless permanent magnet (PM) linear machines. By using Fourier decomposition, the magnetization components of four typical Halbach magnet arrays are determined. By applying special synthetic boundary conditions on the PM surfaces, the expressions of their magnetic field distributions are derived based on the magnetic scalar potential (MSP), which are simpler than those based on the magnetic vector potential (MVP). The correctness of the method is validated by finite element analysis. The harmonics of airgap flux density waveforms of these Halbach magnet arrays with or without back iron are also compared and optimized.
Original languageEnglish
Pages (from-to)95-104
Number of pages10
JournalJournal of Magnetics
Issue number2
Publication statusPublished - 4 Jul 2013


  • Halbach magnet array
  • Harmonic analysis
  • Magnetic scalar potential
  • Synthetic boundary condition

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering

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