A Convenient Mesh rotation method of finite element analysis using sub-matrix transformation approach

Shuangxia Niu, Siu Lau Ho, Weinong Fu, Jianguo Zhu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

10 Citations (Scopus)


This paper presents a novel sub-matrix transformation method on mesh rotation problems in the finite element analysis (FEA) of electric machines. This proposed approach is simple, convenient and readily implementable. For each rotor position, only the transformation matrix which has fixed regular pattern versus the rotor position displacement needs to be modified. Transformation matrices with first-order element, second-order element as well as with periodic and anti-periodic boundary conditions have been developed. By using sub-matrix transformation, the mesh coupling can be realized automatically, efficiently and with minimal computing burden, since all the coefficients of the FEA system equation are stored in the sub-matrixes and they do not need to be re-assembled for different rotor positions. Formulae derivation and theoretical analysis are presented together simulation results to verify the validity of proposed method.
Original languageEnglish
Article number6136755
Pages (from-to)303-306
Number of pages4
JournalIEEE Transactions on Magnetics
Issue number2
Publication statusPublished - 1 Feb 2012


  • Finite element method
  • mesh rotation
  • sub-matrix transformation
  • transformation matrix

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials

Cite this