Analytical calculation of magnetic field and electromagnetic performance of flux reversal machines

A subdomain model is developed for the computation of the no-load and load magnetic field distribution in flux reversal machines. In the proposed model, the Laplace´s and Poisson´s equations are built in the subdomains, including semi-closed stator slot, rotor slot, air gap and permanent magnets. Based on the general solutions and the boundary conditions between the adjacent subdomains, the magnetic field in all subdomains can be obtained. According to the field solution, the electromagnetic performance, such as the flux linkage, back-EMF, cogging torque and electromagnetic torque are calculated. The calculated results by finite element analysis and experiment results are given to verify the analytical model.