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Vector Control with Optimal Torque of a Salient-Pole Double Star Synchronous Machine Supplied by Three-Level Inverters This work relates to the study of the vector control of the salient-pole double star synchronous machine drive (DSSM) fed by three-level inverters which are controlled by PWM hysteresis strategy. Indeed, it is a question of carrying out a decoupling between rotor flux and electromagnetic torque, by introducing a vector control with an optimal torque working and by imposing constant flux regime. Furthermore, to ensure a decoupled dynamic behavior of the machine as in the case of a DC machine, a regulation of the rotor current has been introduced through a chopper operating at 5 kHz chopping frequency, feeding the excitation circuit. The obtained results are very satisfactory and reveal the effectiveness of the proposed approach.