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derive a measure of " electrical centrality " for AC power networks, which describes the structure of the network as a function of its electrical topology rather than its physical topology. We compare our centrality measure to conventional measures of network structure using the IEEE 300-bus network. We find that when measured electrically, power networks… (More)

The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph. Electric power transmission and distribution networks have a topological structure that is straightforward to represent and analyze as a… (More)

Numerous recent reports have assessed the adequacy of current generating capacity to meet the growing electricity demand from Plug-in Hybrid Electric Vehicles (PHEVs) and the potential for using these vehicles to provide grid support (Vehicle to Grid, V2G) services. However, little has been written on how these new loads will affect the medium and… (More)

Numerous recent papers have found important relationships between network structure and risks within networks. These results indicate that network structure can dramatically affect the relative effectiveness of risk identification and mitigation methods. With this in mind this paper provides a comparative analysis of the topological and electrical structure… (More)

- Paul Hines
- 2009

F ew people consider the complexity of power grid operation when they flip a switch to light a room. Power grids provide electricity to billions of individuals around the globe, often with higher than 99.9% reliability. Because the social structures in most developed countries rely on high-reliability electricity, massive social disruption can result when… (More)

Cascading failures in electricity networks cause blackouts, which often lead to severe economic and social consequences. Cascading failures are typically initiated by a set of equipment outages that cause operating constraint violations. When violations persist in a network they can trigger additional outages which in turn may cause further violations. This… (More)

This paper describes results from the analysis of two approaches to blackout risk analysis in electric power systems. In the first analysis, we compare two topological (graph-theoretic) methods for finding vulnerable locations in a power grid, to a simple model of cascading outage. This comparison indicates that topological models can lead to misleading… (More)

—The dynamical behavior of power systems under stress frequently deviates from the predictions of deterministic models. Model-free methods for detecting signs of excessive stress before instability occurs would therefore be valuable. The mathematical frameworks of " fast-slow systems " and " critical slowing down " can describe the statistical behavior of… (More)

This paper describes two new approaches to cascading failure analysis in power systems that can combine large amounts of data about cascading blackouts to produce information about the ways that cascades may propagate. In the first, we evaluate methods for representing cascading failure information in the form of a graph. We refer to these graphs as " dual… (More)