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Context-independent centrality measures underestimate the vulnerability of power grids

Author

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  • Trivik Verma
  • Wendy Ellens
  • Robert E. Kooij

Abstract

Power grids vulnerability is a key issue in society. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Within complex network analysis, structural vulnerabilities of power grids have been studied mostly using purely topological approaches, which assumes that flow of power is dictated by shortest paths. However, this fails to capture the real flow characteristics of power grids. We have proposed a flow redistribution mechanism that closely mimics the flow in power grids using the power transfer distribution factor (PTDF). We apply the model to the European high-voltage grid to carry out a comparative study for a number of centrality measures. 'Centrality' gives an indication of the criticality of network components. We also show a brief comparison of the end results with other power grid systems to generalise the result.

Suggested Citation

  • Trivik Verma & Wendy Ellens & Robert E. Kooij, 2015. "Context-independent centrality measures underestimate the vulnerability of power grids," International Journal of Critical Infrastructures, Inderscience Enterprises Ltd, vol. 11(1), pages 62-81.
    • Handle: RePEc:ids:ijcist:v:11:y:2015:i:1:p:62-81
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    References listed on IDEAS

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    1. R. Kinney & P. Crucitti & R. Albert & V. Latora, 2005. "Modeling cascading failures in the North American power grid," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 46(1), pages 101-107, July.
    2. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    3. Bompard, Ettore & Napoli, Roberto & Xue, Fei, 2009. "Analysis of structural vulnerabilities in power transmission grids," International Journal of Critical Infrastructure Protection, Elsevier, vol. 2(1), pages 5-12.
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    2. Psaltoglou, Artemis & Calle, Eusebi, 2018. "Enhanced connectivity index – A new measure for identifying critical points in urban public transportation networks," International Journal of Critical Infrastructure Protection, Elsevier, vol. 21(C), pages 22-32.

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