Motor Magnetic Field Analysis Using the Alpha Finite Element Method (αFEM)

This paper delves into the application of the alpha finite element method ([Formula: see text]FEM) in the simulation of electromagnetic fields within electric machines, with a particular focus on permanent magnet synchronous motors. Electromagnetic simulation analysis based on the finite element method (FEM) has become a critical tool for the design and optimization of electric machines. Traditional FEM, which employ linear triangular elements, often encounter challenges regarding computational accuracy and efficiency in complex electromagnetic scenarios. [Formula: see text]FEM, a variant within the smooth finite element method (S-FEM) family, enhances the capabilities of conventional FEM by scaling physical coordinates or strain gradients in the Jacobian matrix with an adjustable factor “[Formula: see text].” This modification yields more precise numerical solutions, rendering [Formula: see text]FEM particularly effective in dynamic problems such as vibration, acoustics, and plate analysis. Widely acknowledged for its stability and convergence properties, [Formula: see text]FEM is utilized in this study to analyze computational performance in simulating the electromagnetic fields of motor. Numerical examples presented confirm that [Formula: see text]FEM achieves higher computational accuracy with the same mesh model compared to conventional FEM.