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The permanent magnet synchronous motors (PMSM) are recommended in the industrial world. This is because they are simple, reliable and less bulky than DC motors. This article studies the control problem of two permanent magnet synchronous five-phase machine (PMSM) connected in series and powered by a single inverter of five arms. We studied a system of two PMSM machine connected in series, we started by modelling the system and presents the independent vector control of the two five-phase PMSM connected in series and the results of simulations showed that the performance of this command. These performances were made by using the PI controllers.