Motor Magnetic Field Analysis Using the Edge-based Smooth Point Interpolation Methods

The study analyzes the motor’s electromagnetic field using an edge-based smooth point interpolation method (ES-PIM). This method makes use of a basic triangular mesh that works well with the intricate geometric model of the motor. In ES-PIM, gradient smoothing operation is performed on each edge-based smooth domain, which is also used to calculate the building blocks in stiffness matrix assembly. Then, the discrete system equation is created using smooth Galerkin weak form, and the field function is interpolated using polynomial basis function or radial point interpolation basis function. On the basis of using different basis functions to construct field functions, this paper introduces several typical PIM interpolation node selection schemes (T3, T6/3, T6, T2L) in detail, and then compares their calculation effects in the electromagnetic field of motors through numerical calculation and analysis. The results show that ES-PIM(T3) provides an ideal softening effect on the finite element stiffness matrix, which significantly improves the calculation accuracy of the finite element analysis of the electromagnetic field of the motor. The numerical example proves the effectiveness of ES-PIM(T3) in improving the calculation accuracy in the finite element simulation analysis of the electromagnetic field of the motor.