Abstract: In practical situations, permanent magnetic synchronous motor(PMSM)not only has the continuous states, but also the discrete ones. Neither of their control strategies could help the motor to achieved the optimize performance. Therefores an innovative hybrid model, combining both nonlinear and time-variant model of the motor body, is derived by analyzing the flux linkage equation while taking into account of the leakage inductance and the equivalent inductance the d-axis and q-axis. Then the switch function of converter is given as the discrete state event of the motor’s stator voltage, to build the hybrid system of the convex PMSM. Finally, the simulation results indicate the availability of the hybrid model, and provide evidences to help the researches to control and optimize methods of the hybrid system.

Key words: hybrid system, PMSM, converter, mathematical model, simulation, switched system