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Power grid enhanced resilience using proportional and derivative control with delayed feedback

Author

Listed:
  • Eric Donald Dongmo

    (Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaoundé I)

  • Pere Colet

    (IFISC, Instituto de Física Interdisciplinar y Sistemas Complejos (CSIC-UIB), Campus Universitat Illes Balears)

  • Paul Woafo

    (Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes and TWAS Research Unit, Department of Physics, Faculty of Science, University of Yaoundé I
    Applied Physics Research Group (APHY), Vrije Universiteit Brussel)

Abstract

This paper investigates the resilience of an elementary electricity system (machine-generator) under proportional and derivative (PD) control when subject to large perturbations. A particular attention is paid to small power grids, representative of power grid structure in some developing countries. The considered elementary electricity system consists of a consumer (machine), a power plant (generator) and a transmission line. Both Runge-Kutta and Newton methods are used to solve the dynamical equations and the characteristic equations for stability. It is found that the controller increases the resilience of the system. We also show that time delays associated to the feedback loop of the controller have a negative impact on the performance. It is also shown that the asymmetry due to energy demand of different consumers to power plant increases the stability of the system.

Suggested Citation

  • Eric Donald Dongmo & Pere Colet & Paul Woafo, 2017. "Power grid enhanced resilience using proportional and derivative control with delayed feedback," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(1), pages 1-10, January.
    • Handle: RePEc:spr:eurphb:v:90:y:2017:i:1:d:10.1140_epjb_e2016-70507-6
    DOI: 10.1140/epjb/e2016-70507-6
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    Cited by:

    1. Dmitry Borisoglebsky & Liz Varga, 2019. "A Resilience Toolbox and Research Design for Black Sky Hazards to Power Grids," Complexity, Hindawi, vol. 2019, pages 1-15, June.
    2. Wang, Cong & Zhang, Hongli & Fan, Wenhui & Ma, Ping, 2018. "Adaptive control method for chaotic power systems based on finite-time stability theory and passivity-based control approach," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 159-167.

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    Keywords

    Statistical and Nonlinear Physics;

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