{"id":"https://openalex.org/W2000587848","doi":"https://doi.org/10.1137/130910312","title":"Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty","display_name":"Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2000587848","doi":"https://doi.org/10.1137/130910312","mag":"2000587848"},"language":"en","primary_location":{"id":"doi:10.1137/130910312","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130910312","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.7916/d8vh5zqv","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018342938","display_name":"Daniel Bienstock","orcid":"https://orcid.org/0000-0001-5037-7111"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Bienstock","raw_affiliation_strings":["Columbia University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068974029","display_name":"Michael Chertkov","orcid":"https://orcid.org/0000-0002-6758-515X"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Chertkov","raw_affiliation_strings":["LOS Alamos National Laboratory"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LOS Alamos National Laboratory","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085690346","display_name":"Sean Harnett","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean Harnett","raw_affiliation_strings":["Columbia University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":24.5424,"has_fulltext":false,"cited_by_count":503,"citation_normalized_percentile":{"value":0.99658368,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"56","issue":"3","first_page":"461","last_page":"495"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11371","display_name":"Wind and Air Flow Studies","score":0.9853000044822693,"subfield":{"id":"https://openalex.org/subfields/2305","display_name":"Environmental Engineering"},"field":{"id":"https://openalex.org/fields/23","display_name":"Environmental Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.6056001782417297},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5994352102279663},{"id":"https://openalex.org/keywords/tripping","display_name":"Tripping","score":0.5949466228485107},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5753664374351501},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.49811792373657227},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.49541938304901123},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4888598322868347},{"id":"https://openalex.org/keywords/smart-grid","display_name":"Smart grid","score":0.45969146490097046},{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.43669313192367554},{"id":"https://openalex.org/keywords/wind-power","display_name":"Wind power","score":0.4302574694156647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4142371118068695},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3619070053100586},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3418729901313782},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19702497124671936},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.15055504441261292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10953709483146667}],"concepts":[{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.6056001782417297},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5994352102279663},{"id":"https://openalex.org/C2779733308","wikidata":"https://www.wikidata.org/wiki/Q17146464","display_name":"Tripping","level":3,"score":0.5949466228485107},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5753664374351501},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.49811792373657227},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.49541938304901123},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4888598322868347},{"id":"https://openalex.org/C10558101","wikidata":"https://www.wikidata.org/wiki/Q689855","display_name":"Smart grid","level":2,"score":0.45969146490097046},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.43669313192367554},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.4302574694156647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4142371118068695},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3619070053100586},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3418729901313782},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19702497124671936},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.15055504441261292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10953709483146667},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C61352017","wikidata":"https://www.wikidata.org/wiki/Q211058","display_name":"Circuit breaker","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1137/130910312","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130910312","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.368.6163","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.368.6163","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.columbia.edu/~dano/papers/CC-OPF3.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.432.7744","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.432.7744","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.columbia.edu/~dano/papers/CC-OPF4.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.762.5669","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.762.5669","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1209.5779.pdf","raw_type":"text"},{"id":"pmh:oai:academiccommons.columbia.edu:10.7916/D8VH5ZQV","is_oa":false,"landing_page_url":"https://doi.org/10.7916/D8VH5ZQV","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Articles"},{"id":"doi:10.7916/d8vh5zqv","is_oa":true,"landing_page_url":"https://doi.org/10.7916/d8vh5zqv","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.7916/d8vh5zqv","is_oa":true,"landing_page_url":"https://doi.org/10.7916/d8vh5zqv","pdf_url":null,"source":{"id":"https://openalex.org/S4306402601","display_name":"Columbia Academic Commons (Columbia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78577930","host_organization_name":"Columbia University","host_organization_lineage":["https://openalex.org/I78577930"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.5099999904632568,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G286898171","display_name":null,"funder_award_id":"DE-AC52-06NA2-5396","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G310521049","display_name":null,"funder_award_id":"DEAC52- 06NA25396","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G3700687868","display_name":null,"funder_award_id":"AC52-06NA25396","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G5657628048","display_name":null,"funder_award_id":"AC52-06NA25396","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G75892134","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G8050417273","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320332186","funder_display_name":"Defense Threat Reduction Agency"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320332186","display_name":"Defense Threat Reduction Agency","ror":"https://ror.org/04tz64554"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W66371144","https://openalex.org/W201621110","https://openalex.org/W605663379","https://openalex.org/W1564540124","https://openalex.org/W1763243278","https://openalex.org/W1851439146","https://openalex.org/W1973877265","https://openalex.org/W1980227625","https://openalex.org/W1987334565","https://openalex.org/W1996160600","https://openalex.org/W2001647331","https://openalex.org/W2003777645","https://openalex.org/W2006041100","https://openalex.org/W2007232488","https://openalex.org/W2007423841","https://openalex.org/W2009923109","https://openalex.org/W2019861006","https://openalex.org/W2037842710","https://openalex.org/W2064739942","https://openalex.org/W2066539720","https://openalex.org/W2069099760","https://openalex.org/W2069808690","https://openalex.org/W2072642243","https://openalex.org/W2073356062","https://openalex.org/W2083350518","https://openalex.org/W2099255123","https://openalex.org/W2099506495","https://openalex.org/W2100440346","https://openalex.org/W2101457442","https://openalex.org/W2103275617","https://openalex.org/W2106424475","https://openalex.org/W2118578357","https://openalex.org/W2124877376","https://openalex.org/W2132670515","https://openalex.org/W2132833284","https://openalex.org/W2141380252","https://openalex.org/W2145334893","https://openalex.org/W2153520025","https://openalex.org/W2158421466","https://openalex.org/W2166159416","https://openalex.org/W2166750547","https://openalex.org/W2167996441","https://openalex.org/W2169351249","https://openalex.org/W2175357651","https://openalex.org/W2252696533","https://openalex.org/W2296319761","https://openalex.org/W2316396040","https://openalex.org/W2764485439","https://openalex.org/W2799018399","https://openalex.org/W2963066644","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4390465888","https://openalex.org/W2576428960","https://openalex.org/W2348657577","https://openalex.org/W2371866616","https://openalex.org/W314499628","https://openalex.org/W2054734788","https://openalex.org/W4246867584","https://openalex.org/W1896807646","https://openalex.org/W4253160883","https://openalex.org/W2040562218"],"abstract_inverted_index":{"When":[0],"uncontrollable":[1],"resources":[2],"fluctuate,":[3],"optimal":[4],"power":[5,13,75,98],"flow":[6,77],"(OPF),":[7],"routinely":[8],"used":[9],"by":[10,88],"the":[11,135,145,156,168,172,179,187,202],"electric":[12],"industry":[14],"to":[15,71,105,120,129],"redispatch":[16],"hourly":[17],"controllable":[18],"generation":[19],"(coal,":[20],"gas,":[21],"and":[22,147],"hydro":[23],"plants)":[24],"over":[25,201],"control":[26],"areas":[27],"of":[28,50,91,123,137,162,171,189],"transmission":[29],"networks,":[30],"can":[31,69,103],"result":[32],"in":[33,53,56,97,133,155,206],"grid":[34,62,111,115],"instability":[35],"and,":[36],"potentially,":[37],"cascading":[38],"outages.":[39],"This":[40],"risk":[41],"arises":[42],"because":[43],"OPF":[44,65,143],"dispatch":[45],"is":[46,86,94],"computed":[47],"without":[48],"awareness":[49],"major":[51],"uncertainty,":[52],"particular":[54,134],"fluctuations":[55,151],"renewable":[57,67,150],"output.":[58],"As":[59],"a":[60,83,106,118,163,198,210],"result,":[61],"operation":[63],"under":[64],"with":[66,152,181],"variability":[68],"lead":[70,104],"frequent":[72],"conditions":[73],"where":[74],"line":[76],"ratings":[78],"are":[79],"significantly":[80],"exceeded.":[81],"Such":[82],"condition,":[84],"which":[85],"borne":[87],"our":[89,175],"simulations":[90],"real":[92],"grids,":[93],"considered":[95],"undesirable":[96],"engineering":[99],"practice.":[100],"Possibly,":[101],"it":[102],"risky":[107],"outcome":[108],"that":[109],"compromises":[110],"stability---line":[112],"tripping.":[113],"Smart":[114],"goals":[116],"include":[117],"commitment":[119],"large":[121],"penetration":[122],"highly":[124],"fluctuating":[125],"renewables,":[126],"thus":[127],"calling":[128],"reconsider":[130],"current":[131,157],"practices,":[132],"use":[136],"standard":[138,211],"OPF.":[139],"Our":[140],"chance-constrained":[141],"(CC)":[142],"corrects":[144],"problem":[146],"mitigates":[148],"dangerous":[149],"minimal":[153],"changes":[154],"operational":[158],"procedure.":[159],"Assuming":[160],"availability":[161],"reliable":[164],"wind":[165],"forecast":[166],"parameterizing":[167],"distribution":[169],"function":[170],"uncertain":[173],"generation,":[174],"CC-OPF":[176,192],"satisfies":[177],"all":[178],"constraints":[180],"high":[182],"probability":[183],"while":[184],"simultaneously":[185],"minimizing":[186],"cost":[188],"economic":[190],"redispatch.":[191],"allows":[193],"efficient":[194],"implementation,":[195],"e.g.,":[196],"solving":[197],"typical":[199],"instance":[200],"2746-bus":[203],"Polish":[204],"network":[205],"20":[207],"seconds":[208],"on":[209],"laptop.":[212]},"counts_by_year":[{"year":2026,"cited_by_count":17},{"year":2025,"cited_by_count":23},{"year":2024,"cited_by_count":37},{"year":2023,"cited_by_count":33},{"year":2022,"cited_by_count":33},{"year":2021,"cited_by_count":38},{"year":2020,"cited_by_count":48},{"year":2019,"cited_by_count":52},{"year":2018,"cited_by_count":72},{"year":2017,"cited_by_count":53},{"year":2016,"cited_by_count":46},{"year":2015,"cited_by_count":28},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":9}],"updated_date":"2026-08-08T01:25:22.217667","created_date":"2025-10-10T00:00:00"}