Robustness of the European power grids under intentional attack

Abstract

The power grid defines one of the most important technological networks of our times and sustains our complex society. It has evolved for more than a century into an extremely huge and seemingly robust and well understood system. But it becomes extremely fragile as well, when unexpected, usually minimal, failures turn into unknown dynamical behaviours leading, for example, to sudden and massive blackouts. Here we explore the fragility of the European power grid under the effect of selective node removal. A mean field analysis of fragility against attacks is presented together with the observed patterns. Deviations from the theoretical conditions for network percolation (and fragmentation) under attacks are analysed and correlated with non topological reliability measures.

arXiv comment7 pages, 4 figures

References in corpus (15)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• Error and attack tolerance of complex networks
• Epidemic spreading in scale-free networks
• Network robustness and fragility: Percolation on random graphs
• Resilience of the Internet to random breakdowns
• Cascade-based attacks on complex networks
• Dynamical and correlation properties of the Internet
• Breakdown of the Internet under intentional attack
• Structural Vulnerability of the North American Power Grid
• Cascade control and defense in complex networks
• Centrality Measures in Spatial Networks of Urban Streets
• Is the Boston subway a small-world network ?
• Epidemic Incidence in Correlated Complex Networks
• Geography in a Scale-Free Network Model

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• Topological Performance Measures as Surrogates for Physical Flow Models for Risk and Vulnerability Analysis for Electric Power Systems
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• Spatial Applications of Topological Data Analysis: Cities, Snowflakes, Random Structures, and Spiders Spinning Under the Influence
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• Goal-directed graph construction using reinforcement learning
• The equal load-sharing model of cascade failures in power grids
• Synchronization dynamics on the EU and US power grids
• Snowboot: Bootstrap Methods for Network Inference
• Modal Decomposition of the Linear Swing Equation in Networks with Symmetries
• How Does the Vulnerability of an Evolving Power Grid Change?
• Link deletion in directed complex networks
• Complex systems: features, similarity and connectivity
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• The Power Grid as a Complex Network: a Survey
• Towards Decentralized Trading: A Topological Investigation of the Dutch Medium and Low Voltage Grids
• Robustness Assessment of Complex Networks using the Idle Network
• Studying power-grid synchronization with incremental refinement of model heterogeneity
• Engineering Structural Robustness in Power Grid Networks Susceptible to Coherent Swing Instability
• Generation of Synthetic Spatially Embedded Power Grid Networks
• From the Grid to the Smart Grid, Topologically
• Node Removal Vulnerability of the Largest Component of a Network
• Greedy optimization for growing spatially embedded oscillatory networks