Line failure probability bounds for power grids

Tommaso Nesti, Alessandro Zocca, Bert Zwart

Research output: Chapter in Book / Report / Conference proceedingConference contributionAcademicpeer-review

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
PublisherIEEE Computer Society
Pages1-5
Number of pages5
ISBN (Electronic)9781538622124
DOIs
Publication statusPublished - 29 Jan 2018
Externally publishedYes
Event2017 IEEE Power and Energy Society General Meeting, PESGM 2017 - Chicago, United States
Duration: 16 Jul 201720 Jul 2017

Publication series

NameIEEE Power and Energy Society General Meeting
Volume2018-January
ISSN (Print)1944-9925
ISSN (Electronic)1944-9933

Conference

Conference2017 IEEE Power and Energy Society General Meeting, PESGM 2017
Country/TerritoryUnited States
CityChicago
Period16/07/1720/07/17

Keywords

  • power systems
  • rare events
  • applied probability
  • large deviations
  • concentration inequalities
  • Stochastic modelling

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