Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays

Wenxi Feng, Yanshan Xie, Fei Luo, Xianyong Zhang and Wenyong Duan
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Wenxi Feng: College of Automation Science and Technology, South China University of Technology, Guangzhou 510640, China
Yanshan Xie: College of Automation Science and Technology, South China University of Technology, Guangzhou 510640, China
Fei Luo: College of Automation Science and Technology, South China University of Technology, Guangzhou 510640, China
Xianyong Zhang: School of Automation, Guangdong Polytechnic Normal University, Guangzhou 510665, China
Wenyong Duan: School of Electrical Engineering, Yancheng Institute of Technology, Yancheng 224051, China

Energies, 2021, vol. 14, issue 18, 1-22

Abstract: The stability problem for load frequency control (LFC) of power systems with two time-varying communication delays is studied in this paper. The one-area and two-area LFC systems are considered, respectively, which are modeled as corresponding linear systems with additive time-varying delays. An improved stability criterion is proposed via a modified Lyapunov-Krasovskii functional (LKF) approach. Firstly, an augmented LKF consisting of delay-dependent matrices and some single-integral items containing time-varying delay information in two different delay subintervals is constructed, which makes full use of the coupling information between the system states and time-varying delays. Secondly, the novel negative definite inequality equivalent transformation lemma is used to transform the nonlinear inequality to the linear matrix inequality (LMI) equivalently, which can be easily solved by the MATLAB LMI-Toolbox. Finally, some numerical examples are presented to show the improvement of the proposed approach.

Keywords: load frequency control; Lyapunov stability theory; stability analysis; time-varying delays (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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