Analytical magnetic field analysis of axial flux permanent-magnet machines using Schwarz-Christoffel transformation

This paper presents an accurate analytical method for calculating magnetic field in axial flux permanent magnet machine with slotted structure. We used quasi-3-D method and Schwarz-Christoffel transformation for obtaining normal (axial) and tangential components of air-gap flux density that produced by both permanent magnets and armature winding currents. The method has been used for an axial flux permanent magnet motor with semi-closed slots and profiled permanent-magnet shape. Using these results, cogging torque, back electromotive force and electromagnetic torque are calculated. The accuracy of the developed method is verified using 3-D finite element method.