Line failure probability bounds for power grids

Tommaso Nesti, Alessandro Zocca, Bert Zwart

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Abstract

We develop upper bounds for line failure probabilities in power grids, under the DC approximation and assuming Gaussian noise for the power injections. Our upper bounds are explicit, and lead to characterization of safe operational capacity regions that are convex and polyhedral, making our tools compatible with existing planning methods. Our probabilistic bounds are derived through the use of powerful concentration inequalities.

Original languageEnglish
Title of host publication2017 IEEE Power and Energy Society General Meeting, PESGM 2017
Place of PublicationBrussels
PublisherIEEE Computer Society
Pages1-5
Number of pages5
ISBN (Electronic)978-1-5386-2212-4
ISBN (Print)978-1-5386-2213-1
DOIs
Publication statusPublished - 29 Jan 2018
Event2017 IEEE Power and Energy Society General Meeting, PESGM 2017 - Chicago, IL USA, Chicago, United States
Duration: 16 Jul 201720 Jul 2017
http://www.pes-gm.org/2017
http://www.pes-gm.org/2017/

Conference

Conference2017 IEEE Power and Energy Society General Meeting, PESGM 2017
Abbreviated titlePESGM 2017
CountryUnited States
CityChicago
Period16/07/1720/07/17
Internet address

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