Title :
A Convenient Mesh Rotation Method of Finite Element Analysis Using Sub-Matrix Transformation Approach
Author :
Niu, Shuangxia ; Ho, S.L. ; Fu, W.N. ; Zhu, Jianguo
Author_Institution :
Dept. of Electr. Eng., Hong Kong Polytech. Univ., Kowloon, China
Abstract :
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.
Keywords :
electric machines; finite element analysis; matrix algebra; rotors; FEA system equation; antiperiodic boundary conditions; convenient mesh rotation method; electric machines; finite element analysis; first-order element; rotor position displacement; second-order element; submatrix transformation approach; Boundary conditions; Equations; Finite element methods; Magnetic domains; Mathematical model; Rotors; Stators; Finite element method; mesh rotation; sub-matrix transformation; transformation matrix;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2011.2173913