Torque ripple is the main cause of motor vibration and noise. In order to reduce the torque ripple of the switched reluctance motor (SRM), a new type of rotor tooth profile is studied, namely adding a semi-oval auxiliary core on both sides of the conventional parallel rotor tooth profile. Using a finite element method, a 12/8-pole SRM was modeled, and an optimal modified model was obtained through parameterized simulation. At the same time, in order to further reduce the torque ripple, the turn-on and turn-off angles of the power converter are optimized, and the torque jump caused by the commutation phase is alleviated. The combination of turn-on and turn-off angles is obtained through simulation calculation, and it can not only significantly reduce the torque ripple of the SRM, but also alleviate the local saturation caused by the double salient pole. This method can reduce the local saturation caused by the double salient structure and the large torque jump caused by the commutation phase. This method is of reference for other double salient motors.