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The Structural Vulnerability Analysis of Power Grids Based on Laplacian Centrality

The power grid is one of the most important real-world networks nowadays and has been widely studied as a kind of complex network. It has been developed for more than one century and becomes an extremely huge and seemingly robust system. But it becomes extremely fragile as well because some unexpected minimal failures may lead to sudden and massive blackouts. Many works have been carried out to investigate the structural vulnerability of power grids from the topological point of view based on the complex network theory. This paper focuses on the structural vulnerability of the power grid under the effect of selective node removal. We test the effectiveness of the Laplacian centrality in guiding the node removal based on several IEEE power grids. Simulation results show that, compared with other node centralities such as degree centrality (DC), betweenness centrality (BC) and closeness centrality (CC), Laplacian centrality (LAPC) is effective to guide the node removal and can destroy the power grid in less steps.