Two-dimensional analytical model for five-phase fault-tolerant permanent-magnet vernier machines

Purpose This study aims to extract an analytical model for five-phase fault-tolerant permanent-magnet vernier machines (FTPMVMs) based on the analytical solution of Maxwell's equations, which has some advantages than the finite element model. Design/methodology/approach FTPMVMs enhance the torque density by combining the vernier characteristics and the fault-tolerant feature. The principle operation of FTPMVMs is discussed based on the magnetic field modulation due to both permanent magnets and armature current. The analytical solution of the magnetic vector potential in each sub-region is obtained based on the sub-domain technique. Findings According to the calculated magnetic vector potential, the magnetic flux density, torque, self- and mutual inductance and back-electromotive force are calculated. The FEM is used to validate the results obtained from the proposed analytic model. Originality/value Two-dimensional analytical method is used to obtain the electromagnetic model of FTPMVMs.