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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.<\/jats:p>","DOI":"10.1145\/2667522.2667532","type":"journal-article","created":{"date-parts":[[2014,9,5]],"date-time":"2014-09-05T19:12:56Z","timestamp":1409944376000},"page":"33-35","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["On the probability of current and temperature overloading in power grids"],"prefix":"10.1145","volume":"42","author":[{"given":"Joost","family":"Bosman","sequence":"first","affiliation":[{"name":"Centrum Wiskunde &amp; Informatica"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jayakrishnan","family":"Nair","sequence":"additional","affiliation":[{"name":"IIT Bombay"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bert","family":"Zwart","sequence":"additional","affiliation":[{"name":"Centrum Wiskunde &amp; Informatica"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2014,9,4]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1394-9"},{"key":"e_1_2_1_2_1","volume-title":"US Federal Energy Regulatory Commission","author":"Cain M.","year":"2012","unstructured":"M. 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