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On the probability of current and temperature overloading in power grids: a large deviations approach

Published: 04 September 2014 Publication History

Abstract

The advent of renewable energy sources has huge implications for the design and control of power grids. On the engineering side, reliability is currently ensured by strict con- straints on current, voltage and temperature. However, with growing supply-side uncertainty induced by renewables, these will need to be replaced by probabilistic guarantees, allowing constraints on a given line to be violated with a low probability, e.g., several minutes per year. In the present note we illustrate, using large deviations techniques, how replacing (probabilistic) current constraints by temperature constraints can lead to capacity gains in power grids.

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Cited By

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  • (2019)Temperature Overloads in Power Grids Under Uncertainty: A Large Deviations ApproachIEEE Transactions on Control of Network Systems10.1109/TCNS.2019.29224926:3(1161-1173)Online publication date: Sep-2019
  • (2016)A Large-Deviation-Based Splitting Estimation of Power Flow ReliabilityACM Transactions on Modeling and Computer Simulation10.1145/287534226:4(1-26)Online publication date: 9-Feb-2016

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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 42, Issue 2
September 2014
74 pages
ISSN:0163-5999
DOI:10.1145/2667522
Issue’s Table of Contents

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 04 September 2014
Published in SIGMETRICS Volume 42, Issue 2

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Cited By

View all
  • (2019)Temperature Overloads in Power Grids Under Uncertainty: A Large Deviations ApproachIEEE Transactions on Control of Network Systems10.1109/TCNS.2019.29224926:3(1161-1173)Online publication date: Sep-2019
  • (2016)A Large-Deviation-Based Splitting Estimation of Power Flow ReliabilityACM Transactions on Modeling and Computer Simulation10.1145/287534226:4(1-26)Online publication date: 9-Feb-2016

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