Journal ArticleDOI
Monotonicity Properties and Spectral Characterization of Power Redistribution in Cascading Failures
Linqi Guo,Chen Liang,Steven H. Low +2 more
- Vol. 45, Iss: 2, pp 103-106
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TLDR
It is shown that many useful quantities in cascading failure analysis can be unified into a spectral inner product, which itself is related to graphical properties of the transmission network and leads to a tree-partition of the network so that failure cascading can be localized.Abstract:
In this work, we apply spectral graph theory methods to study the monotonicity and structural properties of power redistribution in a cascading failure process. We demonstrate that in contrast to the lack of monotonicity in physical domain, there is a rich collection of monotonicity one can explore in the spectral domain, leading to a systematic way to define topological metrics that are monotonic. It is further shown that many useful quantities in cascading failure analysis can be unified into a spectral inner product, which itself is related to graphical properties of the transmission network. Such graphical interpretations precisely capture the Kirchhoff's law expressed in terms of graph structural properties and gauge the impact of a line when it is tripped.read more
Citations
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Proceedings ArticleDOI
Graph Laplacian Spectrum and Primary Frequency Regulation
TL;DR: A framework based on spectral graph theory is presented that shows that the impact of network topology on a power system can be quantified through the network Laplacian eigen values, and such eigenvalues determine the grid robustness against low frequency disturbances.
Journal ArticleDOI
Critical Component Analysis in Cascading Failures for Power Grids Using Community Structures in Interaction Graphs
TL;DR: In this paper, cascading failures in power grids are studied using interaction graphs and it has been shown that the loading level of the power grid impacts the interaction graph and consequently, the community structure and criticality of the components in the cascade process.
Posted Content
Failure Localization in Power Systems via Tree Partitions.
TL;DR: In this article, the authors use the concept of tree partition of transmission networks to provide an analytical characterization of line failure localizability in transmission systems, and demonstrate that switching off a negligible portion of transmission lines allows the impact of line failures to be significantly more localized without substantial changes in line congestion.
Interaction Graphs for Reliability Analysis of Power Grids: A Survey.
TL;DR: This survey reviews various methods of developing interaction graphs as well as studies on reliability analysis of power grids using these graphs.
Journal ArticleDOI
Computing Optimal Control of Cascading Failure in DC Networks
Qin Ba,Ketan Savla +1 more
TL;DR: Finite horizon optimal control to steer the network from an arbitrary initial state, defined in terms of active link set and supply–demand at the nodes, to a feasible state, i.e., a state which is invariant under the failure rule.
References
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