IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i8p2101-d349338.html
   My bibliography  Save this article

An Improved Stability Criterion for Load Frequency Control of Power Systems with Time-Varying Delays

Author

Listed:
  • Bi-Ying Chen

    (School of Automation, China University of Geosciences, Wuhan 430074, China
    The Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China)

  • Xing-Chen Shangguan

    (School of Automation, China University of Geosciences, Wuhan 430074, China
    The Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China)

  • Li Jin

    (School of Automation, China University of Geosciences, Wuhan 430074, China
    The Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China)

  • Dan-Yun Li

    (School of Automation, China University of Geosciences, Wuhan 430074, China
    The Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China)

Abstract

This paper aims at developing a novel stability criterion to access the influence of the time-varying delay on the stability of power systems equipped with a proportional-integral (PI)-based load frequency control (LFC). The model of the LFC scheme considering time-varying communication delays is established at first. Then, an improved stability condition related to the information of delay bounds is deduced by constructing an augmented Lyapunov–Krasovski functional and using a matrix inequality, and it is expressed as linear matrix inequalities (LMIs) for easily checking. Finally, case studies for one-area and two-area LFC systems are carried out to show the relationship between delay margins ensuring the stability and the PI gains of the LFC, and also verify the superiority of proposed stability criterion compared with the previous ones.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:8:p:2101-:d:349338
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/8/2101/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/8/2101/
    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. Hassan Haes Alhelou & Mohamad-Esmail Hamedani-Golshan & Reza Zamani & Ehsan Heydarian-Forushani & Pierluigi Siano, 2018. "Challenges and Opportunities of Load Frequency Control in Conventional, Modern and Future Smart Power Systems: A Comprehensive Review," Energies, MDPI, vol. 11(10), pages 1-35, September.
    3. Shang-Guan, Xingchen & He, Yong & Zhang, Chuanke & Jiang, Lin & Spencer, Joseph William & Wu, Min, 2020. "Sampled-data based discrete and fast load frequency control for power systems with wind power," Applied Energy, Elsevier, vol. 259(C).
    4. 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.
    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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).

    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. Daraz, Amil, 2023. "Optimized cascaded controller for frequency stabilization of marine microgrid system," Applied Energy, Elsevier, vol. 350(C).
    2. Rafiq Asghar & Francesco Riganti Fulginei & Hamid Wadood & Sarmad Saeed, 2023. "A Review of Load Frequency Control Schemes Deployed for Wind-Integrated Power Systems," Sustainability, MDPI, vol. 15(10), pages 1-29, May.
    3. Amil Daraz & Suheel Abdullah Malik & Ihsan Ul Haq & Khan Bahadar Khan & Ghulam Fareed Laghari & Farhan Zafar, 2020. "Modified PID controller for automatic generation control of multi-source interconnected power system using fitness dependent optimizer algorithm," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-31, November.
    4. Cheng, Yi & Azizipanah-Abarghooee, Rasoul & Azizi, Sadegh & Ding, Lei & Terzija, Vladimir, 2020. "Smart frequency control in low inertia energy systems based on frequency response techniques: A review," Applied Energy, Elsevier, vol. 279(C).
    5. Zhenghao Wang & Yonghui Liu & Zihao Yang & Wanhao Yang, 2021. "Load Frequency Control of Multi-Region Interconnected Power Systems with Wind Power and Electric Vehicles Based on Sliding Mode Control," Energies, MDPI, vol. 14(8), pages 1-15, April.
    6. Eleftherios Vlahakis & Leonidas Dritsas & George Halikias, 2019. "Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems," Energies, MDPI, vol. 12(14), pages 1-28, July.
    7. Xinghua Liu & Siwei Qiao & Zhiwei Liu, 2023. "A Survey on Load Frequency Control of Multi-Area Power Systems: Recent Challenges and Strategies," Energies, MDPI, vol. 16(5), pages 1-22, February.
    8. Athira M. Mohan & Nader Meskin & Hasan Mehrjerdi, 2020. "A Comprehensive Review of the Cyber-Attacks and Cyber-Security on Load Frequency Control of Power Systems," Energies, MDPI, vol. 13(15), pages 1-33, July.
    9. Oshnoei, Soroush & Aghamohammadi, Mohammad Reza & Oshnoei, Siavash & Sahoo, Subham & Fathollahi, Arman & Khooban, Mohammad Hasan, 2023. "A novel virtual inertia control strategy for frequency regulation of islanded microgrid using two-layer multiple model predictive control," Applied Energy, Elsevier, vol. 343(C).
    10. Kaleem Ullah & Abdul Basit & Zahid Ullah & Sheraz Aslam & Herodotos Herodotou, 2021. "Automatic Generation Control Strategies in Conventional and Modern Power Systems: A Comprehensive Overview," Energies, MDPI, vol. 14(9), pages 1-43, April.
    11. Ninoslav Holjevac & Tomislav Baškarad & Josip Đaković & Matej Krpan & Matija Zidar & Igor Kuzle, 2021. "Challenges of High Renewable Energy Sources Integration in Power Systems—The Case of Croatia," Energies, MDPI, vol. 14(4), pages 1-20, February.
    12. Yang, Jin & Zhong, Qishui & Ghias, Amer M.Y.M. & Dong, Zhao Yang & Shi, Kaibo & Yu, Yongbin, 2023. "Distributed fault-tolerant PI load frequency control for power system under stochastic event-triggered scheme," Applied Energy, Elsevier, vol. 351(C).
    13. Solomon Feleke & Balamurali Pydi & Raavi Satish & Degarege Anteneh & Kareem M. AboRas & Hossam Kotb & Mohammed Alharbi & Mohamed Abuagreb, 2023. "DE-Based Design of an Intelligent and Conventional Hybrid Control System with IPFC for AGC of Interconnected Power System," Sustainability, MDPI, vol. 15(7), pages 1-23, March.
    14. 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).
    15. Chen, Chunyu & Cui, Mingjian & Fang, Xin & Ren, Bixing & Chen, Yang, 2020. "Load altering attack-tolerant defense strategy for load frequency control system," Applied Energy, Elsevier, vol. 280(C).
    16. Shangguan, Xing-Chen & He, Yong & Zhang, Chuan-Ke & Jiang, Lin & Wu, Min, 2022. "Load frequency control of time-delayed power system based on event-triggered communication scheme," Applied Energy, Elsevier, vol. 308(C).
    17. Mohammed Alharbi & Muhammad Ragab & Kareem M. AboRas & Hossam Kotb & Masoud Dashtdar & Mokhtar Shouran & Elmazeg Elgamli, 2023. "Innovative AVR-LFC Design for a Multi-Area Power System Using Hybrid Fractional-Order PI and PIDD 2 Controllers Based on Dandelion Optimizer," Mathematics, MDPI, vol. 11(6), pages 1-45, March.
    18. Danny Ochoa & Sergio Martinez, 2021. "Analytical Approach to Understanding the Effects of Implementing Fast-Frequency Response by Wind Turbines on the Short-Term Operation of Power Systems," Energies, MDPI, vol. 14(12), pages 1-22, June.
    19. Huo, Zhihong & Wang, Bing, 2023. "Distributed resilient multi-event cooperative triggered mechanism based discrete sliding-mode control for wind-integrated power systems under denial of service attacks," Applied Energy, Elsevier, vol. 333(C).
    20. M. Ebrahim Adabi & Bogdan Marinescu, 2022. "Direct Participation of Dynamic Virtual Power Plants in Secondary Frequency Control," Energies, MDPI, vol. 15(8), pages 1-15, April.

    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:13:y:2020:i:8:p:2101-:d:349338. 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.