Modeling and analysis of nonlinear interior permanent magnet synchronous motors considering saturation and cross-magnetization effects

This paper provides an analytical nonlinear model based on flux density of rotor and Winding function of the PMSM, which take into account the magnetic saturation. This model gives a clear physical picture for the saturation phenomenon in the d- and q-axis representation. Moreover, the saturation effect on the machine d- and q-axis synchronous reactance is investigated and the contributions of both the saturation factors and the cross-magnetizing phenomenon are also clearly shown. Using Ansoft to do offline parameter calculus of Flux and inductance, a simulation platform is established in Simulink using the equation of the nonlinear model demonstrated in the paper. The paper also presents the details of the experimental setup. And the proposed model is verified by the comparison of calculated and experimental results.