Fractional-order PI controller design for PMSM: A model-based comparative study

The mathematical model of any plant plays very important role in the controller design. In electric drives, it is usual practice to consider approximate model of the machine by considering mechanical time constant neglecting electrical time constant for simplifying controller design. The model thus considered, results into an approximated or simplified model of the electrical machine. While if we consider mechanical as well as electrical time constant in the model, it is exact model of the machine. The controller can be designed on simplified model or exact model of the motor. It is observed that performance of the controller is better when it is designed considering exact model of the motor. To demonstrate this idea, in this paper we present the design of fractional-order PI (FOPI) controller for Permanent Magnet Synchronous Motor (PMSM). We design two independent controllers, one which is based on exact model of PMSM and the other which is designed considering simplified model of the motor. The results show that FOPI controller, if designed using exact model, gives better performance over that, if designed using simplified model.

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