Power grids vulnerability: a complex network approach

Abstract

Power grids exhibit patterns of reaction to outages similar to complex networks. Blackout sequences follow power laws, as complex systems operating near a critical point. Here, the tolerance of electric power grids to both accidental and malicious outages is analyzed in the framework of complex network theory. In particular, the quantity known as efficiency is modified by introducing a new concept of distance between nodes. As a result, a new parameter called net-ability is proposed to evaluate the performance of power grids. A comparison between efficiency and net-ability is provided by estimating the vulnerability of sample networks, in terms of both the metrics.

16 pages, 3 figures. Figure 2 and table II modified. Typos corrected. Version accepted for publication in Chaos

References in corpus (26)

• Statistical mechanics of complex networks
• The structure and function of complex networks
• Error and attack tolerance of complex networks
• Efficient Behavior of Small-World Networks
• Resilience of the Internet to random breakdowns
• Cascade-based attacks on complex networks
• Breakdown of the Internet under intentional attack
• Structural Vulnerability of the North American Power Grid
• A model for cascading failures in complex networks
• Cascade control and defense in complex networks
• Modeling Cascading Failures in the North American Power Grid
• Vulnerability and Protection of Critical Infrastructures
• Robustness of the European power grids under intentional attack
• Evaluating North American Electric Grid Reliability Using the Barabasi-Albert Network Model
• Topology and Evolution of Technology Innovation Networks
• Scaling breakdown in flow fluctuations on complex networks
• Range-based attack on links in scale-free networks: are long-range links responsible for the small-world phenomenon?
• Transport optimization on complex networks
• Effects of the network structural properties on its controllability
• Vulnerability and Hierarchy of Complex Networks
• Empirical analysis of the ship-transport network of China
• Load distribution in weighted complex networks
• Network traffic behaviour near phase transition point
• Fluctuation-driven capacity distribution in complex networks
• Optimization in Networks
• Highly optimized tolerance and power laws in dense and sparse resource regimes

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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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• Spacing ratio characterization of the spectra of directed random networks
• Building blocks of the basin stability of power grids
• Quantifying efficient information exchange in real network flows
• Multistability and Variations in Basin of Attraction in Power-grid Systems
• Power-grid stability predictions using transferable machine learning
• The Emerging Energy Web
• On structural and dynamical factors determining the integrated basin instability of power-grid nodes
• Topological Analysis and Mitigation Strategies for Cascading Failures in Power Grid Networks
• Selecting Energy Efficient Inputs using Graph Structure
• Modal Decomposition of the Linear Swing Equation in Networks with Symmetries
• How Does the Vulnerability of an Evolving Power Grid Change?
• The Power Grid as a Complex Network: a Survey
• Impact of shocks to economies on the efficiency and robustness of the international pesticide trade networks
• Morphological Inversion of Complex Diffusion
• Context-Independent Centrality Measures Underestimate the Vulnerability of Power Grids
• Structure and Stability of the Indian Power Transmission Network
• Identifying Central Nodes in Multiplex Networks by Embracing Layer-Specific Heterogeneity via DomiRank
• Don't go chasing artificial waterfalls: Simulating cascading failures in the power grid and the impact of artificial line-limit methods on results
• High Tension Lines: Predicting robustness of high-voltage power-grids to cascading failure using network embedding