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

Author

Listed:
  • Wenxi Feng

    (College of Automation Science and Technology, South China University of Technology, Guangzhou 510640, China
    Guangzhou Institute of Standardization, Guangzhou 510050, 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)

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.

Suggested Citation

  • Wenxi Feng & Yanshan Xie & Fei Luo & Xianyong Zhang & Wenyong Duan, 2021. "Enhanced Stability Criteria of Network-Based Load Frequency Control of Power Systems with Time-Varying Delays," Energies, MDPI, vol. 14(18), pages 1-22, September.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5820-:d:635479
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    References listed on IDEAS

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    1. Bi-Ying Chen & Xing-Chen Shangguan & Li Jin & Dan-Yun Li, 2020. "An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays," Energies, MDPI, vol. 13(8), pages 1-14, April.
    2. Ashraf Khalil & Ang Swee Peng, 2018. "An Accurate Method for Delay Margin Computation for Power System Stability," Energies, MDPI, vol. 11(12), pages 1-22, December.
    3. de Oliveira, Fúlvia S.S. & Souza, Fernando O., 2020. "Further refinements in stability conditions for time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 369(C).
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    Cited by:

    1. Sadeq D. Al-Majidi & Mohammed Kh. AL-Nussairi & Ali Jasim Mohammed & Adel Manaa Dakhil & Maysam F. Abbod & Hamed S. Al-Raweshidy, 2022. "Design of a Load Frequency Controller Based on an Optimal Neural Network," Energies, MDPI, vol. 15(17), pages 1-28, August.
    2. Sadeq D. Al-Majidi & Hisham Dawood Salman Altai & Mohammed H. Lazim & Mohammed Kh. Al-Nussairi & Maysam F. Abbod & Hamed S. Al-Raweshidy, 2023. "Bacterial Foraging Algorithm for a Neural Network Learning Improvement in an Automatic Generation Controller," Energies, MDPI, vol. 16(6), pages 1-19, March.
    3. Mohammad Haziq Ibrahim & Ang Swee Peng & Muhammad Norfauzi Dani & Ashraf Khalil & Kah Haw Law & Sharina Yunus & Mohammad Ishlah Rahman & Thien Wan Au, 2023. "A Novel Computation of Delay Margin Based on Grey Wolf Optimisation for a Load Frequency Control of Two-Area-Network Power Systems," Energies, MDPI, vol. 16(6), pages 1-19, March.
    4. Yixuan Ge & Guobao Liu & Guishu Zhao & Huai Liu & Ji Sun, 2022. "Observer-Based H ∞ Load Frequency Control for Networked Power Systems with Limited Communications and Probabilistic Cyber Attacks," Energies, MDPI, vol. 15(12), pages 1-16, June.

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