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).