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Using Graph Models to Analyze the Vulnerability of Electric Power Networks

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  • Åke J. Holmgren

Abstract

In this article, we model electric power delivery networks as graphs, and conduct studies of two power transmission grids, i.e., the Nordic and the western states (U.S.) transmission grid. We calculate values of topological (structural) characteristics of the networks and compare their error and attack tolerance (structural vulnerability), i.e., their performance when vertices are removed, with two frequently used theoretical reference networks (the Erdös‐Rényi random graph and the Barabási‐Albert scale‐free network). Further, we perform a structural vulnerability analysis of a fictitious electric power network with simple structure. In this analysis, different strategies to decrease the vulnerability of the system are evaluated. Finally, we present a discussion on the practical applicability of graph modeling.

Suggested Citation

  • Åke J. Holmgren, 2006. "Using Graph Models to Analyze the Vulnerability of Electric Power Networks," Risk Analysis, John Wiley & Sons, vol. 26(4), pages 955-969, August.
    • Handle: RePEc:wly:riskan:v:26:y:2006:i:4:p:955-969
    DOI: 10.1111/j.1539-6924.2006.00791.x
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    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    2. Stefän Einarsson & Marvin Rausand, 1998. "An Approach to Vulnerability Analysis of Complex Industrial Systems," Risk Analysis, John Wiley & Sons, vol. 18(5), pages 535-546, October.
    3. Crucitti, Paolo & Latora, Vito & Marchiori, Massimo, 2004. "A topological analysis of the Italian electric power grid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 338(1), pages 92-97.
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