Analytical modeling of magnetic fields in interior permanent magnet synchronous motors with arbitrary rotor configurations

This paper proposes a hybrid model applicable to electromagnetic calculation of interior permanent magnet synchronous motors (IPMSMs) with arbitrary rotor topologies. The model integrates the subdomain method with the non-parametric magnetic reluctance network (MRN), and applies periodic or anti-periodic boundary conditions to both sides of the model. The MRN enables accurate prediction of rotor saturation characteristics, while the subdomain method is employed to account for the slotting effect. The block matrix representation of the model is constructed via the bidirectional coupling boundary conditions at the air gap. The proposed model can incorporate motion characteristics under boundary constraints, thereby enabling time-stepping solution of the magnetic field distribution. Two motor topologies are analyzed using this model; its computational accuracy is verified by comparison with the finite element method, and experimental validation is conducted based on a V-type IPMSM prototype.