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Optimization and Stabilization of Distributed Secondary Voltage Control with Time Delays and Packet Losses Using LMIs

Author

Listed:
  • Allal El Moubarek Bouzid

    (Ecole Centrale Nantes-LS2N-CNRS, 44300 Nantes, France
    These authors contributed equally to this work.)

  • Bogdan Marinescu

    (Ecole Centrale Nantes-LS2N-CNRS, 44300 Nantes, France
    These authors contributed equally to this work.)

  • Florent Xavier

    (RTE-R&D, 7C Place du Dôme, 92073 Paris La Defense, France
    These authors contributed equally to this work.)

  • Guillaume Denis

    (RTE-R&D, 7C Place du Dôme, 92073 Paris La Defense, France
    These authors contributed equally to this work.)

Abstract

The proposed hierarchical secondary voltage control is a spatially distributed control system using communication networks which are disturbed by both a time delays and packet data dropouts. A state feedback integral control is adopted to eliminate the effect of non-zero disturbance and provide exact tracking of the references of the pilot points and alignment of the reactive powers of the generators that participate in the control. The system is modeled as a discrete-time switched system, and the control gains are synthesized by solving LMIs for a stability condition based on a state-dependent Lyapunov function. For that, the cone complementarity linearization (CCL) algorithm is used. The effectiveness of the proposed control strategy in preventing time delays and packet losses is simulated, considering the model of a realistic electric power grid under typical operational conditions using MATLAB.

Suggested Citation

  • Allal El Moubarek Bouzid & Bogdan Marinescu & Florent Xavier & Guillaume Denis, 2023. "Optimization and Stabilization of Distributed Secondary Voltage Control with Time Delays and Packet Losses Using LMIs," Energies, MDPI, vol. 17(1), pages 1-18, December.
    • Handle: RePEc:gam:jeners:v:17:y:2023:i:1:p:37-:d:1304275
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    References listed on IDEAS

    as
    1. Yeguo Sun, 2014. "Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1963-1969, September.
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