Line Failure Localization of Power Networks Part I: Non-Cut Outages
Abstract
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.
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.Attached Files
Published - Line_Failure_Localization_of_Power_Networks_Part_I_Non-Cut_Outages.pdf
Submitted - 2005.10199.pdf
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Additional details
- Alternative title
- Localization & Mitigation of Cascading Failures in Power Systems, Part I: Spectral Representation & Tree Partition
- Eprint ID
- 104242
- Resolver ID
- CaltechAUTHORS:20200707-101019648
- Resnick Sustainability Institute
- Ronald And Maxine Linde Center for Global Environmental Science
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO)
- 680.50.1529
- NSF
- CCF-1637598
- NSF
- ECCS-1619352
- NSF
- ECCS-1931662
- NSF
- CNS-1545096
- NSF
- CNS-1518941
- NSF
- ECCS-1739355
- NSF
- CPS-154471
- Created
-
2020-07-07Created from EPrint's datestamp field
- Updated
-
2021-08-25Created from EPrint's last_modified field
- Caltech groups
- Resnick Sustainability Institute