Synthesis of a fractional-order PIλDμ-controller for a closed system of switched reluctance motor control
Journal Title: Восточно-Европейский журнал передовых технологий - Year 2019, Vol 2, Issue 2
Abstract
<p>The relevance of creating high-quality control systems for electric drives with a switched reluctance motor (SRM) was substantiated. Using methods of mathematical modeling, transient characteristics of the process of turn-on of SRMs with various moments of inertia were obtained. Based on analysis of the obtained transient characteristics, features of the SRM turn-on process determined by dynamic change of parameters of the SRM during its turn-on were shown.</p><p>Low accuracy of SRM identification using a fractionally rational function of rat34 class was shown. Regression coefficient of the resulting model was 85 %. Based on analysis of transient characteristics of the SRM turn-on process, a hypothesis was put forward about the possibility of identifying the SRM by means of a fractional-order transfer function. Using the methods of mathematical modeling, transient characteristics of the process of turning-on the SRMs with various moments of inertia were obtained. Using the FOMCON MATLAB Toolbox, identification of the SRM turn-on process with the help of a fractional-order transfer function of second order was performed. Regression coefficient of the resulting model was 93–96 %.</p><p>For the obtained fractional-order transfer functions, a method of synthesis of a fractional-order PI<sup>λ</sup>D<sup>μ</sup> controller optimized in terms of minimum integral square error of the transition function of the closed system of fractional-order control of objects was implemented. The FOMCON MATLAB Toolbox was used for synthesis of the PI<sup>λ</sup>D<sup>μ</sup> controller.</p>Comparative analysis of the SRM turn-on processes in both open and closed control systems with a classical integer-order PID controller and with a fractional-order PI<sup>λ</sup>D<sup>μ</sup> controller was made. Use of the fractional-order PI<sup>λ</sup>D<sup>μ</sup> controller in comparison with the classical integer-order regulator makes it possible to reduce overshoot from 13.3 % to 2.64 %, increase speed of the closed ACS, decrease regulation time from 1.48 s to 0.53 s while reducing variability of transient characteristics. The study results can be used to improve performance of closed systems for controlling angular velocity of the SRM
Authors and Affiliations
Valerii Tytiuk, Oleksii Chornyi, Mila Baranovskaya, Serhii Serhiienko, Iurii Zachepa, Leonid Tsvirkun, Vitaliy Kuznetsov, Nikolay Tryputen
Keywords
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- EP ID EP666279
- DOI 10.15587/1729-4061.2019.160946
- Views 58
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