A Caltech Library Service

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

Guo, Linqi and Liang, Chen and Zocca, Alessandro and Low, Steven H. and Wierman, Adam (2021) Line Failure Localization of Power Networks Part I: Non-Cut Outages. IEEE Transactions on Power Systems, 36 (5). pp. 4140-4151. ISSN 0885-8950. doi:10.1109/tpwrs.2021.3066336.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Guo, Linqi0000-0001-5771-2752
Liang, Chen0000-0002-0015-7206
Zocca, Alessandro0000-0001-6585-4785
Low, Steven H.0000-0001-6476-3048
Alternate Title:Localization & Mitigation of Cascading Failures in Power Systems, Part I: Spectral Representation & Tree Partition
Additional Information:© 2021 IEEE. This work is licensed under a Creative Commons Attribution 4.0 License. Manuscript received May 27, 2020; revised November 1, 2020 and January 19, 2021; accepted March 1, 2021. Date of publication March 17, 2021; date of current version August 19, 2021. This work has been supported by Resnick Fellowship, Linde Institute Research Award, NWO Rubicon under Grant 680.50.1529, NSF through Grants CCF 1637598, ECCS 1619352, ECCS 1931662, CNS 1545096, CNS 1518941, CPS ECCS 1739355, CPS 154471. Paper no. TPWRS-00882-2020.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Resnick Sustainability InstituteUNSPECIFIED
Ronald And Maxine Linde Center for Global Environmental ScienceUNSPECIFIED
Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)680.50.1529
Subject Keywords:Cascading failure, Laplacian matrix, contingency analysis, spanning forests
Issue or Number:5
Record Number:CaltechAUTHORS:20200707-101019648
Persistent URL:
Official Citation:L. Guo, C. Liang, A. Zocca, S. H. Low and A. Wierman, "Line Failure Localization of Power Networks Part I: Non-Cut Outages," in IEEE Transactions on Power Systems, vol. 36, no. 5, pp. 4140-4151, Sept. 2021, doi: 10.1109/TPWRS.2021.3066336
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104242
Deposited By: Tony Diaz
Deposited On:07 Jul 2020 17:15
Last Modified:25 Aug 2021 17:22

Repository Staff Only: item control page