In this article, the aim is to investigate the torque ripple and propose control strategies to reduce the torque ripple in Interior Permanent Magnet Synchronous Machine (IPMSM). Frequently, zero current in dx-axis is used to reduce the effect of reluctance torque. This is unsuitable for the IPMSM, due to the cross-coupling effect between the qx- and dx-axis. In order to overcome the cross-coupling effect problem, firstly, a novel modeling of reluctance torque is proposed, which allows the elaboration of control strategies by injecting current either in the qx-axis to suppress the effects of the cogging torque or in the dx-axis, to nullify the reluctance torque together with the cogging torque or just the reluctance torque. For this purpose, machine parameters and a pre-made lookup table are necessary. The results demonstrated the effectiveness of each strategy. The torque ripple can be totally or partially reduced according to the chosen strategy. The strategies have different current values, consequently, the copper losses in the machine will be different, as shown and discussed in the paper.