Structural Vulnerability Analysis of Electric Power Distribution Grids

Power grid outages cause huge economical and societal costs. Disruptions in the power distribution grid are responsible for a significant fraction of electric power unavailability to customers. The impact of extreme weather conditions, continuously increasing demand, and the over-ageing of assets in the grid, deteriorates the safety of electric power delivery in the near future. It is this dependence on electric power that necessitates further research in the power distribution grid security assessment. Thus measures to analyze the robustness characteristics and to identify vulnerabilities as they exist in the grid are of utmost importance. This research investigates exactly those concepts- the vulnerability and robustness of power distribution grids from a topological point of view, and proposes a metric to quantify them with respect to assets in a distribution grid. Real-world data is used to demonstrate the applicability of the proposed metric as a tool to assess the criticality of assets in a distribution grid

Infrastructure network vulnerability

The work presented in this paper aims to propose a methodology of analyzing infrastructure network vulnerability in the field of prevention or reduction of the natural disaster consequences. After a state of the art on vulnerability models in the academic literature, the various vulnerability factors are classified and discussed. Eventually, a general model of vulnerability analysis including societal parameters is presented

A Topological Investigation of Phase Transitions of Cascading Failures in Power Grids

Cascading failures are one of the main reasons for blackouts in electric power transmission grids. The economic cost of such failures is in the order of tens of billion dollars annually. The loading level of power system is a key aspect to determine the amount of the damage caused by cascading failures. Existing studies show that the blackout size exhibits phase transitions as the loading level increases. This paper investigates the impact of the topology of a power grid on phase transitions in its robustness. Three spectral graph metrics are considered: spectral radius, effective graph resistance and algebraic connectivity. Experimental results from a model of cascading failures in power grids on the IEEE power systems demonstrate the applicability of these metrics to design/optimize a power grid topology for an enhanced phase transition behavior of the system

A network approach for power grid robustness against cascading failures

Cascading failures are one of the main reasons for blackouts in electrical power grids. Stable power supply requires a robust design of the power grid topology. Currently, the impact of the grid structure on the grid robustness is mainly assessed by purely topological metrics, that fail to capture the fundamental properties of the electrical power grids such as power flow allocation according to Kirchhoff's laws. This paper deploys the effective graph resistance as a metric to relate the topology of a grid to its robustness against cascading failures. Specifically, the effective graph resistance is deployed as a metric for network expansions (by means of transmission line additions) of an existing power grid. Four strategies based on network properties are investigated to optimize the effective graph resistance, accordingly to improve the robustness, of a given power grid at a low computational complexity. Experimental results suggest the existence of Braess's paradox in power grids: bringing an additional line into the system occasionally results in decrease of the grid robustness. This paper further investigates the impact of the topology on the Braess's paradox, and identifies specific sub-structures whose existence results in Braess's paradox. Careful assessment of the design and expansion choices of grid topologies incorporating the insights provided by this paper optimizes the robustness of a power grid, while avoiding the Braess's paradox in the system.Comment: 7 pages, 13 figures conferenc

Heavy-Tail Analysis of Network Theory-Based Critical Asset Identification Metrics for Bulk Transmission Power Systems

Large-scale blackouts present a significant threat to the reliable delivery of electricity expected of utilities. Often these blackouts are precipitated on a small set of failures, whether through component failures or operator error as a result of insufficient real-time system awareness. In response, a wide array of power system modeling methods has emerged to identify critical assets in electric power systems. This work seeks to study a select grouping of network theory metrics proposed in literature to identify critical power system assets. In total, two standard network theory metrics and eight “extended” complex network betweenness and degree centrality metrics across six synthetic power systems of varying size will be examined. These extended complex network representations of power systems account for structural (e.g. system impedances and susceptance) and operational (e.g. power flow and line losses) properties of power systems not readily captured by standard network theory metrics. All ten metrics, evaluated for each of the six networks, are calculated and tested for heavy-tailed, and more specifically power-law tail, distributions to determine potential connections to blackout size distributions. These heavy-tail tests have shown scaling parameters for power-law fits less than 2 for extended betweenness metrics, closely matching blackout data. System operation metrics more broadly have also show consistent power-law identification among different network sizes over the five metrics tested. Comprehensive system analysis to determine which metrics are most powerful in identifying mechanisms underlying blackout size distributions is recommended as a primary direction to extend this work