Non-linear torsional vibration model of a PMSM for electric driven vehicle

To solve the torsional vibration problem of a permanent magnet synchronous motor (PMSM) causing body structural vibration and noise in an electric driven vehicle, firstly, a non-linear dynamical model for torsional vibration of a PMSM was established with the lumped parameter method. The electromagnetic Torque of PMSM with non-sinusoidal magnetic field distribution of permanent magnet, slotting and harmonic currents was solved using an analytical method. Stiffness and damping parameters were obtained as well. It was indicated that the electromagnetic torque ripple is the main reason for the torsional vibration of PMSM. Then, the non-linear differential equations were solved by means of the state variable technique. Finally, the effectiveness of the model was tested and verified.