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Discrete Dynamics in Nature and Society
Volume 2013, Article ID 135731, 11 pages
Research Article

Vulnerability Analysis of Power Grids Using Modified Centrality Measures

Graduate Program in Electrical Engineering at CUCEI, Department of the State University of Guadalajara, Guadalajara, Jalisco, Mexico

Received 9 December 2012; Revised 22 February 2013; Accepted 25 February 2013

Academic Editor: Ricardo Femat

Copyright © 2013 Francisco Gutierrez et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The aim of this paper is to propose modified centrality measures as a tool to identify critical nodes before a vulnerability analysis is performed in an electrical power grid. Pair dependency centrality is weighted using the grid active power flow, and this becomes the basis to define closeness and betweenness of its nodes, and hence to identify the most critical ones. To support the idea of using modified centralities, four power grids are tested to be either exponential or scale-free. To evaluate the proposal, information obtained via modified centrality measures is used to calculate global efficiency of the power grids.