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Distributed LQR Design for a Class of Large-Scale Multi-Area Power Systems

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Listed:
  • Eleftherios Vlahakis

    (Department of Electrical & Electronic Engineering, City, University of London, London EC1V 0HB, UK)

  • Leonidas Dritsas

    (Department of Electrical & Electronic Engineering Educators, School of Pedagogical & Technological Education, ASPETE, 14121 Athens, Greece)

  • George Halikias

    (Department of Electrical & Electronic Engineering, City, University of London, London EC1V 0HB, UK)

Abstract

Load frequency control (LFC) is one of the most challenging problems in multi-area power systems. In this paper, we consider power system formed of distinct control areas with identical dynamics which are interconnected via weak tie-lines. We then formulate a disturbance rejection problem of power-load step variations for the interconnected network system. We follow a top-down method to approximate a centralized linear quadratic regulator (LQR) optimal controller by a distributed scheme. Overall network stability is guaranteed via a stability test applied to a convex combination of Hurwitz matrices, the validity of which leads to stable network operation for a class of network topologies. The efficiency of the proposed distributed load frequency controller is illustrated via simulation studies involving a six-area power system and three interconnection schemes. In the study, apart from the nominal parameters, significant parametric variations have been considered in each area. The obtained results suggest that the proposed approach can be extended to the non-identical case.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:14:p:2664-:d:247578
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    References listed on IDEAS

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    1. Pandey, Shashi Kant & Mohanty, Soumya R. & Kishor, Nand, 2013. "A literature survey on load–frequency control for conventional and distribution generation power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 25(C), pages 318-334.
    2. Pappachen, Abhijith & Peer Fathima, A., 2017. "Critical research areas on load frequency control issues in a deregulated power system: A state-of-the-art-of-review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 72(C), pages 163-177.
    3. Tielens, Pieter & Van Hertem, Dirk, 2016. "The relevance of inertia in power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 55(C), pages 999-1009.
    4. 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.
    5. Shankar, Ravi & Pradhan, S.R. & Chatterjee, Kalyan & Mandal, Rajasi, 2017. "A comprehensive state of the art literature survey on LFC mechanism for power system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 76(C), pages 1185-1207.
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    Cited by:

    1. Yicong Wang & Chang Liu & Ji Han & Haoyu Tan & Fangchao Ke & Dongyin Zhang & Cong Wei & Shihong Miao, 2022. "A Distributed Frequency Regulation Method for Multi-Area Power System Considering Optimization of Communication Structure," Energies, MDPI, vol. 15(18), pages 1-18, September.
    2. Mbungu, Nsilulu T. & Ismail, Ali A. & AlShabi, Mohammad & Bansal, Ramesh C. & Elnady, A. & Hamid, Abdul Kadir, 2023. "Control and estimation techniques applied to smart microgrids: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 179(C).
    3. Antonio T. Alexandridis, 2020. "Modern Power System Dynamics, Stability and Control," Energies, MDPI, vol. 13(15), pages 1-8, July.

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