Title: Frequency regulation of a time-delayed power system utilising a nonlinear resilient controller

Authors: Vivek Patel; Dipayan Guha; Shubhi Purwar

Addresses: Electrical Engineering Department, Dr. Sakuntala Misra National Rehabilitation University, Lucknow, India ' Electrical Engineering Department, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India ' Electrical Engineering Department, Motilal Nehru National Institute of Technology Allahabad, Prayagraj, India

Abstract: In this work, an effort has been made to investigate the frequency regulation problem of a time-delayed interconnected power system (IPS) having redox flow battery (RFB). Frequency control is necessary for satisfactory output of power systems. An improved super twisting-based integral sliding mode controller (IST-ISMC) has been designed and incorporated in the IPS to actively compensate power-frequency oscillations in the wake of uncertain/unknown system disturbances. RFB has been introduced in the undertaken IPS because of high gain and smaller time constant, resulting in faster response. The stability of the closed-loop system has been affirmed by applying the Lyapunov-Krasovskii functional approach. Linear matrix inequality feasibility problem has been solved for designing the proposed controller. Simulation results show that IST-ISMC outperforms ISMC in terms of faster system dynamics, reduced chattering, and robustness against system uncertainty. The performance of the proposed controller is compared to the controller presented in Sun et al. (2018).

Keywords: frequency regulation; super twisting sliding mode controller; adaptive law; redox flow battery; RFB; linear matrix inequality; LMI.

DOI: 10.1504/IJAAC.2024.135096

International Journal of Automation and Control, 2024 Vol.18 No.1, pp.87 - 109

Received: 05 Aug 2022
Accepted: 30 Jan 2023
Published online: 30 Nov 2023 *

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