Line failure probability bounds for power grids

Tommaso Nesti; Alessandro Zocca; Bert Zwart

doi:10.1109/PESGM.2017.8274716

Line failure probability bounds for power grids

Tommaso Nesti
, Alessandro Zocca
, Bert Zwart

Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-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 language	English
Title of host publication	2017 IEEE Power and Energy Society General Meeting, PESGM 2017
Publisher	IEEE Computer Society
Pages	1-5
Number of pages	5
ISBN (Electronic)	9781538622124
DOIs	https://doi.org/10.1109/PESGM.2017.8274716
Publication status	Published - 29 Jan 2018
Externally published	Yes
Event	2017 IEEE Power and Energy Society General Meeting, PESGM 2017 - Chicago, United States Duration: 16 Jul 2017 → 20 Jul 2017

Publication series

Name	IEEE Power and Energy Society General Meeting
Volume	2018-January
ISSN (Print)	1944-9925
ISSN (Electronic)	1944-9933

Conference

Conference	2017 IEEE Power and Energy Society General Meeting, PESGM 2017
Country/Territory	United States
City	Chicago
Period	16/07/17 → 20/07/17

Funding

ACKNOWLEDGMENTS This research has been completed at the Simons Institute in Berkeley, and has been supported by an NWO VICI grant.

Keywords

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

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10.1109/PESGM.2017.8274716

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title = "Line failure probability bounds for power grids",

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publisher = "IEEE Computer Society",

pages = "1--5",

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Nesti, T, Zocca, A & Zwart, B 2018, Line failure probability bounds for power grids. in 2017 IEEE Power and Energy Society General Meeting, PESGM 2017. IEEE Power and Energy Society General Meeting, vol. 2018-January, IEEE Computer Society, pp. 1-5, 2017 IEEE Power and Energy Society General Meeting, PESGM 2017, Chicago, United States, 16/07/17. https://doi.org/10.1109/PESGM.2017.8274716

Line failure probability bounds for power grids. / Nesti, Tommaso; Zocca, Alessandro; Zwart, Bert.
2017 IEEE Power and Energy Society General Meeting, PESGM 2017. IEEE Computer Society, 2018. p. 1-5 (IEEE Power and Energy Society General Meeting; Vol. 2018-January).

Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

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KW - power systems

KW - rare events

KW - applied probability

KW - large deviations

KW - concentration inequalities

KW - Stochastic modelling

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Line failure probability bounds for power grids

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