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Monotonicity Properties and Spectral Characterization of Power Redistribution in Cascading Failures

Guo, Linqi and Liang, Chen and Low, Steven H. (2017) Monotonicity Properties and Spectral Characterization of Power Redistribution in Cascading Failures. In: 2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton). IEEE , Piscataway, NJ, pp. 918-925. ISBN 978-1-5386-3267-3. http://resolver.caltech.edu/CaltechAUTHORS:20180125-135003175

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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. We illustrate that our characterization leads to a tree-partition of the network so that failure cascading can be localized.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/ALLERTON.2017.8262836DOIArticle
http://ieeexplore.ieee.org/document/8262836/PublisherArticle
ORCID:
AuthorORCID
Low, Steven H.0000-0001-6476-3048
Additional Information:© 2017 IEEE. Date Added to IEEE Xplore: 18 January 2018. This work has been supported by NSF grants through CCF 1637598, ECCS 1619352, CNS 1545096, ARPA-E grants through award DE-AR0000699 (NODES) and GRID DATA, DTRA grant through HDTRA 1-15-1-0003 and Skoltech grant through collaboration agreement 1075-MRA.
Funders:
Funding AgencyGrant Number
NSFCCF-1637598
NSFECCS-1619352
NSFCNS-1545096
Advanced Research Projects Agency-Energy (ARPA-E)DE-AR0000699
Defense Threat Reduction Agency (DTRA)HDTRA 1-15-1-0003
Skoltech1075-MRA
Record Number:CaltechAUTHORS:20180125-135003175
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20180125-135003175
Official Citation:L. Guo, C. Liang and S. H. Low, "Monotonicity properties and spectral characterization of power redistribution in cascading failures," 2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL, USA, 2017, pp. 918-925. doi: 10.1109/ALLERTON.2017.8262836
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84527
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:31 Jan 2018 18:42
Last Modified:31 Jan 2018 18:42

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