Stability analysis for time-delay load frequency control systems with electric vehicles via slack-matrix-based functions

Yang Hang, Lingxiao Wei, Xudong Jia, Yu Huang and Heyong Zhao

Cyber-Physical Systems, 2025, vol. 11, issue 4, 471-487

Abstract: This paper is concerned with stability analysis for LFC systems with electric vehicles (EVs) and wind power subject to time delay. Firstly, a couple of models are developed for LFC systems based on PI control strategy. Secondly, improved slack-matrix-based functions (SMFs) are proposed, which consider the relationships among system states. Thirdly, by use of SMFs, the delay-dependent stability conditions are put forward for both of normal and uncertain LFC systems. Finally, case studies verify effectiveness of the proposed approaches.

Date: 2025
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DOI: 10.1080/23335777.2025.2459778

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