IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i18p5820-d635479.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/18/5820/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/14/18/5820/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lee, Tae H. & Park, Myeong Jin & Park, Ju H., 2021. "An improved stability criterion of neural networks with time-varying delays in the form of quadratic function using novel geometry-based conditions," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Lopez, A. & Ogayar, B. & Hernández, J.C. & Sutil, F.S., 2020. "Survey and assessment of technical and economic features for the provision of frequency control services by household-prosumers," Energy Policy, Elsevier, vol. 146(C).
    3. Zhang, Bao-Lin & Cheng, Luhua & Pan, Kejia & Zhang, Xian-Ming, 2020. "Reducing conservatism of stability criteria for linear systems with time-varying delay using an improved triple-integral inequality," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    4. 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.
    5. 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.
    6. 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.
    7. Liming Ding & Liqin Chen & Dajiang He & Weiwei Xiang, 2022. "New Delay-Partitioning LK-Functional for Stability Analysis with Neutral Type Systems," Mathematics, MDPI, vol. 10(21), pages 1-13, November.
    8. Wang, Yibo & Hua, Changchun & Park, PooGyeon & Qian, Cheng, 2023. "Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    9. Can Zhao & Kaibo Shi & Yiqian Tang & Shouming Zhong, 2022. "A New Slack Lyapunov Functional for Dynamical System with Time Delay," Mathematics, MDPI, vol. 10(23), pages 1-11, November.
    10. Pranta Das & Shuvra Prokash Biswas & Sudipto Mondal & Md Rabiul Islam, 2023. "Frequency Fluctuation Mitigation in a Single-Area Power System Using LQR-Based Proportional Damping Compensator," Energies, MDPI, vol. 16(12), pages 1-18, June.
    11. Phuong Nam Dao & Hong Quang Nguyen & Minh-Duc Ngo & Seon-Ju Ahn, 2020. "On Stability of Perturbed Nonlinear Switched Systems with Adaptive Reinforcement Learning," Energies, MDPI, vol. 13(19), pages 1-19, September.
    12. Ashraf Khalil & Dina Shona Laila, 2022. "An Accurate Method for Computing the Delay Margin in Load Frequency Control System with Gain and Phase Margins," Energies, MDPI, vol. 15(9), pages 1-21, May.
    13. Debanjan, Mukherjee & Karuna, Kalita, 2022. "An Overview of Renewable Energy Scenario in India and its Impact on Grid Inertia and Frequency Response," Renewable and Sustainable Energy Reviews, Elsevier, vol. 168(C).
    14. Chang, Xu-Kang & He, Yong & Gao, Zhen-Man, 2023. "Exponential stability of neural networks with a time-varying delay via a cubic function negative-determination lemma," Applied Mathematics and Computation, Elsevier, vol. 438(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5820-:d:635479. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.