Analytical calculation of winding inductances of permanent-magnet synchronous motor accounting for stator slots

The paper presents an accurate analytical model for calculating winding inductances of permanent-magnet synchronous motor accounting for stator slots. Firstly, the vector potential distributions are obtained in each subdomain, i.e., stator slot, slot opening and air-gap (permanent magnet) by solving the governing equations with boundary and interface conditions. Particularly, the process of transforming equations into matrix format are given in detail. Then winding inductances are calculated by magnetic energy method. 2-poles/12-slots prototype machine is used for validation. The armature reaction field and inductances computed by the analytical method match the FE results very well.