Application of an Improved Interpolating Element-free Galerkin Method in Magnetic Field Calculation

Abstract

In this paper, an improved interpolating element-free Galerkin method (IIEFGM) with nonsingular weight function is introduced to calculate the magnetic field distribution of electrical machines. Since the shape function satisfies the property of the Kronecker-delta function, the IIEFGM can impose the boundary conditions directly. Meanwhile, the IIEFGM adopts a nonsingular weight function, which means the weight function of the conventional element-free Galerkin method (EFGM) can be used. In order to demonstrate the effectiveness of IIEFGM, the magnetic field distribution of a permanent magnet coreless disc machine is analyzed. The selection of weight function and the nodes distribution are discussed, the comparison with the finite element method (FEM) shows the IIEFGM has high computational accuracy.