MTPA control of PMSM system considering saturation and cross-coupling

Based on Finite Element Analysis (FEA) of Permanent Magnet Synchronous Motor (PMSM), after taking into account of magnetic saturation and cross-coupling effect, the relationship between flux linkage and stator current becomes nonlinear. Making use of two-dimensional surface to fit the flux linkage and stator current, then solving partial derivative to the fitted flux linkage with respect to stator current, time variable self and mutual inductances of PMSM are obtained, and then, the mathematical model of PMSM is established considering magnetic saturation, cross-coupling and cogging torque. Based on the suggested PMSM model, the maximum torque per ampere (MTPA) control is researched and implemented for vector controlled PMSM system, and the comparison with traditional vector controlled PMSM system is studied. At last, system simulation is carried out to validate the effectiveness of suggested MTPA control.