Line Failure Localization of Power Networks Part I: Non-Cut Outages

Transmission line failures in power systems propagate non-locally, making the control of the resulting outages extremely difficult. In this work, we establish a mathematical theory that characterizes the patterns of line failure propagation and localization in terms of network graph structure. It pr...

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Veröffentlicht in:IEEE transactions on power systems 2021-09, Vol.36 (5), p.4140-4151
Hauptverfasser: Guo, Linqi, Liang, Chen, Zocca, Alessandro, Low, Steven H., Wierman, Adam
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container_issue 5
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container_title IEEE transactions on power systems
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creator Guo, Linqi
Liang, Chen
Zocca, Alessandro
Low, Steven H.
Wierman, Adam
description Transmission line failures in power systems propagate non-locally, making the control of the resulting outages extremely difficult. In this work, we establish a mathematical theory that characterizes the patterns of line failure propagation and localization in terms of network graph structure. It provides a novel perspective on distribution factors that precisely captures Kirchhoff's Law in terms of topological structures. Our results show that the distribution of specific collections of subtrees of the transmission network plays a critical role on the patterns of power redistribution, and motivates the block decomposition of the transmission network as a structure to understand long-distance propagation of disturbances. In Part I of this paper, we present the case when the post-contingency network remains connected after an initial set of lines are disconnected simultaneously. In Part II, we present the case when an outage separates the network into multiple islands.
doi_str_mv 10.1109/TPWRS.2021.3066336
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subjects Cascading failure
Contingency
contingency analysis
Contingency management
Extreme values
Laplace equations
laplacian matrix
Localization
Matrix decomposition
Outages
Power system faults
Power system protection
Power transmission lines
Propagation
spanning forests
Transmission line matrix methods
Transmission lines
title Line Failure Localization of Power Networks Part I: Non-Cut Outages
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