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Control of cascading failures in dynamical models of power grids

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  • Frasca, Mattia
  • Gambuzza, Lucia Valentina

Abstract

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the electro-mechanical phenomena taking place on them (in particular, we use coupled swing equations) and restrict our analysis to cascades of line failures, i.e., failures due to power flows exceeding the maximum capacity of a line. We formulate a distributed control protocol relying on the same topology of the physical layer and apply it to several power grid models, including a small-size illustrative example with five nodes, the Italian high-voltage (380kV) power grid, and the IEEE 118-bus system. Our results indicate that the approach is capable of preventing cascading failures, either controlling each node of the network or a suitable subset of them.

Suggested Citation

  • Frasca, Mattia & Gambuzza, Lucia Valentina, 2021. "Control of cascading failures in dynamical models of power grids," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    • Handle: RePEc:eee:chsofr:v:153:y:2021:i:p2:s0960077921008146
    DOI: 10.1016/j.chaos.2021.111460
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    References listed on IDEAS

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    1. G. Filatrella & A. H. Nielsen & N. F. Pedersen, 2008. "Analysis of a power grid using a Kuramoto-like model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 485-491, February.
    2. Sergey V. Buldyrev & Roni Parshani & Gerald Paul & H. Eugene Stanley & Shlomo Havlin, 2010. "Catastrophic cascade of failures in interdependent networks," Nature, Nature, vol. 464(7291), pages 1025-1028, April.
    3. Benjamin Schäfer & Dirk Witthaut & Marc Timme & Vito Latora, 2018. "Dynamically induced cascading failures in power grids," Nature Communications, Nature, vol. 9(1), pages 1-13, December.
    4. Benjamin Schäfer & Dirk Witthaut & Marc Timme & Vito Latora, 2018. "Author Correction: Dynamically induced cascading failures in power grids," Nature Communications, Nature, vol. 9(1), pages 1-1, December.
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    1. Batool, Attia & Pál, Gergő & Danku, Zsuzsa & Kun, Ferenc, 2022. "Transition from localized to mean field behaviour of cascading failures in the fiber bundle model on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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