IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v15y2022i9p3434-d810939.html
   My bibliography  Save this article

An Accurate Method for Computing the Delay Margin in Load Frequency Control System with Gain and Phase Margins

Author

Listed:
  • Ashraf Khalil

    (DTU Engineering Technology, Technical University of Denmark, DK-2750 Kongens Lyngby, Denmark
    These authors contributed equally to this work.)

  • Dina Shona Laila

    (Electrical & Electronic Engineering Department, Universiti Teknologi Brunei, Bandar Seri Begawan BE1410, Brunei
    These authors contributed equally to this work.)

Abstract

In traditional power systems, a dedicated communication channel is utilized to transfer the frequency measurements. With the deregulation and reconstruction of power systems, the information is sent through a shared communication network that makes time delays unavoidable in load frequency control (LFC) systems. With the existence of time delays, the LFC system becomes a standard time delay system that complicates the stability analysis and controller synthesis. In this paper, we present a new approach for analyzing the stability and determining the delay margin of the LFC system. By introducing a new variable, the transcendental equation is converted to nonlinear equations. To find the crossing frequencies, the nonlinear equations are solved, which is simpler than solving a set of linear matrix inequalities. A single-area and a multi-area LFC system are selected as case studies. The new method accurately determines the delay margin of the LFC system with phase and gain margin. The effect of the PI controller gains on the delay margin is also considered. A sensitivity analysis is conducted to discover the effects of the system parameters on the delay margin, and it is found that the primary loop parameters have a powerful influence on the delay margin. The stability region of the LFC system is also clearly identified through the proposed method. The influence of the system parameters on the stability region is studied. Compared to the published methods in the literature, the proposed method has a simpler structure while giving more accurate results.

Suggested Citation

  • 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.
  • Handle: RePEc:gam:jeners:v:15:y:2022:i:9:p:3434-:d:810939
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/15/9/3434/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/15/9/3434/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ashraf Khalil & Ang Swee Peng, 2018. "A New Method for Computing the Delay Margin for the Stability of Load Frequency Control Systems," Energies, MDPI, vol. 11(12), pages 1-18, December.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    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. 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. 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. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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).

    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:15:y:2022:i:9:p:3434-:d:810939. 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.