Analytical modeling of the magnetic field in axial field flux-switching permanent magnet machines at no-load

In this paper an analytical model for prediction of the no-load magnetic field in axial field flux switching permanent magnet machines (FSPM) is presented. The proposed method is based on an exact 2D analytical solution of Maxwell's equations in low permeability regions (stator/rotor slots, air gap, permanent magnets (PMs) and surrounding air regions), using the separation of variables technique. For each region, the magnetic vector potential solution is expressed as a sum of Fourier series. Combining obtained solutions in each region and boundary conditions leads to a set of linear equations which allows calculation of the coefficients of the Fourier series in the different regions. The developed model is validated by comparing magnetic field components for a machine modeled with this analytical model and the finite element method (FEM).