{"id":"https://openalex.org/W4387693852","doi":"https://doi.org/10.1137/22m1469651","title":"Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow","display_name":"Two-Stage Robust Quadratic Optimization with Equalities and Its Application to Optimal Power Flow","publication_year":2023,"publication_date":"2023-10-16","ids":{"openalex":"https://openalex.org/W4387693852","doi":"https://doi.org/10.1137/22m1469651"},"language":"en","primary_location":{"id":"doi:10.1137/22m1469651","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1469651","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Journal on Optimization","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075421881","display_name":"Olga Kuryatnikova","orcid":"https://orcid.org/0000-0001-8460-7296"},"institutions":[{"id":"https://openalex.org/I913958620","display_name":"Erasmus University Rotterdam","ror":"https://ror.org/057w15z03","country_code":"NL","type":"education","lineage":["https://openalex.org/I913958620"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Olga Kuryatnikova","raw_affiliation_strings":["Econometric Institute, Erasmus University Rotterdam, 3062 PA Rotterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"Econometric Institute, Erasmus University Rotterdam, 3062 PA Rotterdam, Netherlands","institution_ids":["https://openalex.org/I913958620"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084563518","display_name":"Bissan Ghaddar","orcid":"https://orcid.org/0000-0003-4695-200X"},"institutions":[{"id":"https://openalex.org/I125749732","display_name":"Western University","ror":"https://ror.org/02grkyz14","country_code":"CA","type":"education","lineage":["https://openalex.org/I125749732"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Bissan Ghaddar","raw_affiliation_strings":["Ivey Business School, Western University, London, ON NG6 0N1, Canada"],"affiliations":[{"raw_affiliation_string":"Ivey Business School, Western University, London, ON NG6 0N1, Canada","institution_ids":["https://openalex.org/I125749732"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046432907","display_name":"Daniel K. Molzahn","orcid":"https://orcid.org/0000-0003-0583-5376"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel K. Molzahn","raw_affiliation_strings":["School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30313 USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30313 USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075421881"],"corresponding_institution_ids":["https://openalex.org/I913958620"],"apc_list":null,"apc_paid":null,"fwci":0.1303,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45245115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"33","issue":"4","first_page":"2830","last_page":"2857"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9991000294685364,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9991000294685364,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6720425486564636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6627662181854248},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.6140559315681458},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.5389730334281921},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.48101386427879333},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.4517757296562195},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.43875983357429504},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.43530410528182983},{"id":"https://openalex.org/keywords/robust-optimization","display_name":"Robust optimization","score":0.43352049589157104},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42707139253616333},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.4184546172618866},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.41535013914108276},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4152193069458008},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.33712446689605713},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3148171603679657},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2360553741455078}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6720425486564636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6627662181854248},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.6140559315681458},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.5389730334281921},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.48101386427879333},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.4517757296562195},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.43875983357429504},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.43530410528182983},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.43352049589157104},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42707139253616333},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.4184546172618866},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.41535013914108276},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4152193069458008},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.33712446689605713},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3148171603679657},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2360553741455078},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"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},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1469651","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1469651","pdf_url":null,"source":{"id":"https://openalex.org/S928796702","display_name":"SIAM Journal on Optimization","issn_l":"1052-6234","issn":["1052-6234","1095-7189"],"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 Journal on Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6100000143051147,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1932048343","display_name":null,"funder_award_id":"2023140","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3869244148","display_name":null,"funder_award_id":"2017-04185","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1145378817","https://openalex.org/W1979603336","https://openalex.org/W1996827562","https://openalex.org/W2000587848","https://openalex.org/W2014851065","https://openalex.org/W2031279008","https://openalex.org/W2046491103","https://openalex.org/W2063190731","https://openalex.org/W2064121907","https://openalex.org/W2067108585","https://openalex.org/W2074663062","https://openalex.org/W2089953380","https://openalex.org/W2096011304","https://openalex.org/W2098553889","https://openalex.org/W2106117965","https://openalex.org/W2106424475","https://openalex.org/W2141380252","https://openalex.org/W2152575352","https://openalex.org/W2156825077","https://openalex.org/W2593081246","https://openalex.org/W2594867531","https://openalex.org/W2625248137","https://openalex.org/W2734649263","https://openalex.org/W2742500819","https://openalex.org/W2748245754","https://openalex.org/W2792090142","https://openalex.org/W2889230202","https://openalex.org/W2891879843","https://openalex.org/W2949784905","https://openalex.org/W2964073086","https://openalex.org/W2964146084","https://openalex.org/W2964217050","https://openalex.org/W2972389776","https://openalex.org/W3045739339","https://openalex.org/W3048970930","https://openalex.org/W3049736453","https://openalex.org/W3102209235","https://openalex.org/W3118724990","https://openalex.org/W3203782659","https://openalex.org/W4251616545","https://openalex.org/W4298152141"],"related_works":["https://openalex.org/W4206704743","https://openalex.org/W2387241522","https://openalex.org/W4210895176","https://openalex.org/W2168170446","https://openalex.org/W4312674943","https://openalex.org/W2327930114","https://openalex.org/W4245653589","https://openalex.org/W2390817143","https://openalex.org/W436931041","https://openalex.org/W2410228078"],"abstract_inverted_index":{"In":[0,12,31],"this":[1,151],"work,":[2],"we":[3],"consider":[4],"two-stage":[5],"quadratic":[6,155],"optimization":[7,27,44,70],"problems":[8],"under":[9],"ellipsoidal":[10],"uncertainty.":[11],"the":[13,21,32,35,40,43,109,116,124,129,157],"first":[14],"stage,":[15,34],"one":[16],"needs":[17],"to":[18,54,92],"decide":[19],"upon":[20],"values":[22],"of":[23,26,42,58,64,96,115,123,131,145],"a":[24,52,55,88,94,113],"subset":[25,114],"variables":[28,45],"(control":[29],"variables).":[30],"second":[33],"uncertainty":[36],"is":[37,159],"revealed,":[38],"and":[39,83,119,138],"rest":[41],"(state":[46],"variables)":[47],"are":[48],"set":[49,118],"up":[50],"as":[51,75,79,81],"solution":[53],"known":[56],"system":[57],"possibly":[59],"nonlinear":[60],"equations.":[61],"This":[62],"type":[63],"problem":[65],"occurs,":[66],"for":[67,71,161],"instance,":[68],"in":[69],"dynamical":[72],"systems,":[73],"such":[74],"electric":[76],"power":[77,148],"systems":[78],"well":[80],"gas":[82],"water":[84],"networks.":[85],"We":[86,134],"propose":[87],"convergent":[89],"iterative":[90],"algorithm":[91,110],"build":[93],"sequence":[95],"approximately":[97],"robustly":[98],"feasible":[99,117],"solutions":[100],"with":[101],"an":[102],"improving":[103],"objective":[104],"value.":[105],"At":[106],"each":[107],"iteration,":[108],"optimizes":[111],"over":[112],"uses":[120],"affine":[121],"approximations":[122],"second-stage":[125],"equations":[126],"while":[127],"preserving":[128],"nonlinearity":[130],"other":[132],"constraints.":[133],"implement":[135],"our":[136],"approach":[137,158],"demonstrate":[139],"its":[140],"performance":[141],"on":[142,154],"Matpower":[143],"instances":[144],"AC":[146],"optimal":[147],"flow.":[149],"Although":[150],"paper":[152],"focuses":[153],"problems,":[156],"suitable":[160],"more":[162],"general":[163],"setups.":[164]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}