Sliding mode controller design via delay-dependent $$H_{\infty }$$ stabilization criterion for load frequency regulation

IF 8.7 1区工程技术 Q1 ENERGY & FUELS Protection and Control of Modern Power Systems Pub Date : 2023-10-07 DOI:10.1186/s41601-023-00322-w

Subrat Kumar Pradhan, Dushmanta Kumar Das

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Abstract

Abstract This work presents a control approach based on sliding-mode-control (SMC) to design robust $$H_{\infty }$$ H ∞ state feedback controllers for load frequency regulation of delayed interconnected power system (IPS) with parametric uncertainties. Considering both state feedback control strategy and delayed feedback control strategy, two SMC laws are proposed. The proposed control laws are designed to improve the stability and disturbance rejection performance of delayed IPS, while stabilization criteria in the form of linear matrix inequality are derived by choosing a Lyapunov–Krasovskii functional. An artificial time-delay is incorporated in the control law design of the delayed feedback control structure to enhance the controller performance. A numerical example is considered to study the control performance of the proposed controllers and simulation results are provided to observe the dynamic response of the IPS.

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滑模控制器设计采用时滞相关$$H_{\infty }$$稳定化准则进行负载频率调节

摘要提出了一种基于滑模控制(SMC)的鲁棒$$H_{\infty }$$ H∞状态反馈控制器，用于具有参数不确定性的延迟互联电力系统(IPS)的负载频率调节。同时考虑状态反馈控制策略和延迟反馈控制策略，提出了两种最小控制律。所提出的控制律旨在提高延迟IPS系统的稳定性和抗扰性能，同时通过选择Lyapunov-Krasovskii泛函导出线性矩阵不等式形式的镇定判据。在时滞反馈控制结构的控制律设计中引入了人工时滞，提高了控制器的性能。通过数值算例研究了所提控制器的控制性能，并给出了仿真结果来观察IPS的动态响应。

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来源期刊

Protection and Control of Modern Power Systems Multiple-

CiteScore

20.10

自引率

8.20%

发文量

审稿时长

4 weeks

期刊介绍： Protection and Control of Modern Power Systems (PCMP) is the first international modern power system protection and control journal originated in China. The journal is dedicated to presenting top-level academic achievements in this field and aims to provide a platform for international researchers and engineers, with a special focus on authors from China, to maximize the papers' impact worldwide and contribute to the development of the power industry. PCMP is sponsored by Xuchang Ketop Electrical Research Institute and is edited and published by Power System Protection and Control Press. PCMP focuses on advanced views, techniques, methodologies, and experience in the field of protection and control of modern power systems to showcase the latest technological achievements. However, it is important to note that the journal will cease to be published by SpringerOpen as of 31 December 2023. Nonetheless, it will continue in cooperation with a new publisher.