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Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach

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  • Hanmei Zhou

    (The Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, China
    School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China)

  • Qishui Zhong

    (The Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, China
    Aircraft Swarm Intelligent Sensing and Cooperative Control Key Laboratory of Sichuan Province, Chengdu 611731, China)

  • Shaoyu Hu

    (The Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, China
    School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China)

  • Jin Yang

    (The Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, China
    School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China)

  • Kaibo Shi

    (The Yangtze Delta Region Institute (Huzhou), University of Electronic Science and Technology of China, Huzhou 313001, China
    School of Information Science and Engineering, Chengdu University, Chengdu 610106, China)

  • Shouming Zhong

    (School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China)

Abstract

This article proposes a discrete proportional-integral-derivative (PID) load frequency control (LFC) scheme to investigate the dissipative analysis issue of restructured wind power systems via a non-fragile design approach. Firstly, by taking the different power-sharing rates of governors into full consideration, a unified model is constructed for interconnected power systems containing multiple governors. Secondly, unlike existing LFC schemes, a non-fragile discrete PID control scheme is designed, which has the performance of tolerating control gain fluctuation and relieving the huge computational burden. Further, by constructing a discrete-type Lyapunov–Krasovskii functional, improved stability criteria with a strict dissipative performance index are established. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed control method.

Suggested Citation

  • Hanmei Zhou & Qishui Zhong & Shaoyu Hu & Jin Yang & Kaibo Shi & Shouming Zhong, 2023. "Dissipative Discrete PID Load Frequency Control for Restructured Wind Power Systems via Non-Fragile Design Approach," Mathematics, MDPI, vol. 11(14), pages 1-21, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3252-:d:1201481
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