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Line Failure Localization of Power Networks Part II: Cut Set Outages

Guo, Linqi and Liang, Chen and Zocca, Alessandro and Low, Steven H. and Wierman, Adam (2021) Line Failure Localization of Power Networks Part II: Cut Set Outages. IEEE Transactions on Power Systems, 36 (5). pp. 4152-4160. ISSN 0885-8950. doi:10.1109/TPWRS.2021.3068048.

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Transmission line failure in power systems prop-agate non-locally, making the control of the resulting outages extremely difficult. In Part II of this paper, we continue the study of line failure localizability in transmission networks and characterize the impact of cut set outages. We establish a Simple Path Criterion, showing that the propagation pattern due to bridge outages, a special case of cut set failures, are fully determined by the positions in the network of the buses that participate in load balancing. We then extend our results to general cut set outages. In contrast to non-cut outages discussed in Part I whose subsequent line failures are contained within the original blocks, cut set outages typically impact the whole network, affecting the power flows on all remaining lines. We corroborate our analytical results in both parts using the IEEE 118-bus test system, in which the failure propagation patterns exhibit a clear block-diagonal structure predicted by our theory, even when using full AC power flow equations.

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 II: Localization
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 April 13, 2021; date of current version August 19, 2021. This work was supported by Resnick Fellowship, Linde Institute Research Award, NWO Rubicon under Grant 680.50.1529, and by NSF under Grants CCF 1637598, ECCS 1619352, ECCS 1931662, CNS 1545096, CNS 1518941, CPS ECCS 1739355, and CPS 154471. Paper no. TPWRS-00762-2020.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Resnick Sustainability InstituteUNSPECIFIED
Linde Institute of Economic and Management 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:20200707-095927831
Persistent URL:
Official Citation:L. Guo, C. Liang, A. Zocca, S. H. Low and A. Wierman, "Line Failure Localization of Power Networks Part II: Cut Set Outages," in IEEE Transactions on Power Systems, vol. 36, no. 5, pp. 4152-4160, Sept. 2021, doi: 10.1109/TPWRS.2021.3068048
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104240
Deposited By: Tony Diaz
Deposited On:07 Jul 2020 17:09
Last Modified:25 Aug 2021 17:23

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