Exact special 2D spectral expression of the magnetic field in air gap with skewed source

Abstract

This paper presents a method to analytically model the magnetic field in the air gap of rotating electrical machines with cylindrical air gap. The field is expressed as a sum of sinusoidal functions of the azimuthal coordinate. The originality of this paper is to give an exact field solution in case of skewed sources (windings or magnets). That result can then be used for torque, inductances and magnetic losses computations in machines with Faulhaber or rhombic windings. The computation of the inductances of a Faulhaber motor is treated as an example.