Hybrid modeling for permanent-magnet electrical machines using Maxwell-Fourier and finite-element method

This paper is the first that proposes an extended hybrid analytical method (HAM) based on a two-dimensional (2-D) coupling between the semi-analytical Maxwell-Fourier analysis and finite-element method (FEM) in polar coordinates. The proposed model is applied to any rotating electrical machines. The main objective of this paper is to establish the magnetic field solution in the whole machine by coupling an exact analytical model (AM), proposed for all regions having relative magnetic permeability equal to unity, with a FEM in ferromagnetic regions. The AM and FEM are coupled in both directions (r, ?) in the edge separating teeth regions and all its adjacent regions by applied boundary conditions (BCs). The developed HAM gives accurate results on the magnetic flux density distribution and the cogging torque whatever the operating conditions, the magnetic or geometric parameters. All results obtained give very satisfactory agreement with 2-D finite-element analysis (FEA).

Automated summary

This paper proposes an extended hybrid analytical method (HAM) based on a 2-D coupling between the semi-analytical Maxwell-Fourier analysis and finite-element method (FEM) in polar coordinates. The model is applied to rotating electrical machines and aims to establish the magnetic field solution by coupling an exact analytical model (AM) with FEM in ferromagnetic regions. The HAM gives accurate results on magnetic flux density distribution and cogging torque, with satisfactory agreement with 2-D finite-element analysis (FEA) under various conditions.