Synthesis of a fractional-order PIλDμ-controller for a closed system of switched reluctance motor control

Authors

DOI:

https://doi.org/10.15587/1729-4061.2019.160946

Keywords:

switched reluctance motor, identification, fractional-order transfer function, control quality, fractional-order controller

Abstract

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.

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 %.

For the obtained fractional-order transfer functions, a method of synthesis of a fractional-order PIλDμ 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 PIλDμ controller.

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 PIλDμ controller was made. Use of the fractional-order PIλDμ 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

Author Biographies

Valerii Tytiuk, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

PhD, Associate Professor

Department of Electromechanics

Oleksii Chornyi, Kremenchuk Mykhailo Ostrohradskyi National University Pershotravneva str., 20, Kremenchug, Ukraine, 39600

Doctor of Technical Sciences, Professor, Director

Institute of Electromechanics, Energy Saving and Automatic Control Systems

Mila Baranovskaya, Kryvyi Rih National University Vitaliya Matusevycha str., 11, Kryvyi Rih, Ukraine, 50027

PhD, Associate Professor

Department of Electromechanics

Serhii Serhiienko, Kremenchuk Mykhailo Ostrohradskyi National University Pershotravneva str., 20, Kremenchug, Ukraine, 39600

PhD, Associate Professor, Vice-rector

Department of Systems of Automatic Control and Electric Drive

Iurii Zachepa, Kremenchuk Mykhailo Ostrohradskyi National University Pershotravneva str., 20, Kremenchug, Ukraine, 39600

PhD, Associate Professor

Department of Systems of Automatic Control and Electric Drive

Leonid Tsvirkun, National TU Dnipro Polytechnic Dmytra Yavornytskoho ave., 19, Dnipro, Ukraine, 49005

PhD, Associate Professor

Department of Automation and Computer Systems

Vitaliy Kuznetsov, National Metallurgical Academy of Ukraine Gagarina ave., 4, Dnipro, Ukraine, 49600

PhD, Associate Professor

Department of Electrical Engineering and Electromechanic

Nikolay Tryputen, National TU Dnipro Polytechnic Dmytra Yavornytskoho ave., 19, Dnipro, Ukraine, 49005

PhD, Associate Professor

Department of Automation and Computer Systems

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Published

2019-03-27

How to Cite

Tytiuk, V., Chornyi, O., Baranovskaya, M., Serhiienko, S., Zachepa, I., Tsvirkun, L., Kuznetsov, V., & Tryputen, N. (2019). Synthesis of a fractional-order PIλDμ-controller for a closed system of switched reluctance motor control. Eastern-European Journal of Enterprise Technologies, 2(2 (98), 35–42. https://doi.org/10.15587/1729-4061.2019.160946

Issue

Vol. 2 No. 2 (98) (2019): Information technology. Industry control systems

Section

Industry control systems

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Copyright (c) 2019 Valerii Tytiuk, Oleksii Chornyi, Mila Baranovskaya, Serhii Serhiienko, Iurii Zachepa, Leonid Tsvirkun, Vitaliy Kuznetsov, Nikolay Tryputen

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