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Design of fractional-order PI controllers and comparative analysis of these controllers with linearized, nonlinear integer-order and nonlinear fractional-order representations of PMSM

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Abstract

Mathematical model of permanent magnet synchronous motor (PMSM), which is also popularly known as sinusoidal BLDC motor, is highly nonlinear. Speed control of this motor is a cascade control structure which has two distinct loops: an inner current control loop and outer speed control loop. In this paper, we present the design of fractional proportional-integral (PI) controller using small-signal model of PMSM. The basic scheme used for speed control is field-oriented control wherein constant torque angle control is obtained by zero direct-axis current. This requires three PI controllers: one for direct-axis current to keep at zero; another for quadrature axis current to maintain at maximum; and the third for the speed to keep at the reference level. In this paper, we have replaced all three PI controllers with fractional-order (FO) PI controllers, where order of integrator is fractional. These three FOPI controllers are tested on integer-order nonlinear model as well as fractional-order nonlinear model of PMSM using MATLAB simulink and FOMCON toolbox. The comparative analysis shows superior performance of the FOPI controllers for FO PMSM.

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Authors and Affiliations

  1. Department of Electrical Engineering, Pune Vidyarthi Griha’s College of Engineering and Technology, Pune, India

    Ujjwala Thakar & Vrunda Joshi

  2. Department of Electronics Engineering, Ramrao Adik Institute of Technology, Nerul, Navi Mumbai, India

    Vishwesh Vyawahare

Authors
  1. Ujjwala Thakar
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  2. Vrunda Joshi
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  3. Vishwesh Vyawahare
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Correspondence to Ujjwala Thakar.

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Thakar, U., Joshi, V. & Vyawahare, V. Design of fractional-order PI controllers and comparative analysis of these controllers with linearized, nonlinear integer-order and nonlinear fractional-order representations of PMSM. Int. J. Dynam. Control 5, 187–197 (2017). https://doi.org/10.1007/s40435-016-0243-0

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  • DOI: https://doi.org/10.1007/s40435-016-0243-0

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