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A novel fractional order PID plus derivative (PIλDµDµ2) controller for AVR system using equilibrium optimizer

Abdulsamed Tabak (Department of Mechatronics Engineering, Engineering Faculty, Necmettin Erbakan University, Konya, Turkey)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 13 July 2021

Issue publication date: 20 August 2021

124

Abstract

Purpose

The purpose of this paper is to improve transient response and dynamic performance of automatic voltage regulator (AVR).

Design/methodology/approach

This paper proposes a novel fractional order proportional–integral–derivative plus derivative (PIλDµDµ2) controller called FOPIDD for AVR system. The FOPIDD controller has seven optimization parameters and the equilibrium optimizer algorithm is used for tuning of controller parameters. The utilized objective function is widely preferred in AVR systems and consists of transient response characteristics.

Findings

In this study, results of AVR system controlled by FOPIDD is compared with results of proportional–integral–derivative (PID), proportional–integral–derivative acceleration, PID plus second order derivative and fractional order PID controllers. FOPIDD outperforms compared controllers in terms of transient response criteria such as settling time, rise time and overshoot. Then, the frequency domain analysis is performed for the AVR system with FOPIDD controller, and the results are found satisfactory. In addition, robustness test is realized for evaluating performance of FOPIDD controller in perturbed system parameters. In robustness test, FOPIDD controller shows superior control performance.

Originality/value

The FOPIDD controller is introduced for the first time to improve the control performance of the AVR system. The proposed FOPIDD controller has shown superior performance on AVR systems because of having seven optimization parameters and being fractional order based.

Keywords

Citation

Tabak, A. (2021), "A novel fractional order PID plus derivative (PIλDµDµ2) controller for AVR system using equilibrium optimizer", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 3, pp. 722-743. https://doi.org/10.1108/COMPEL-02-2021-0044

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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