{"id":"https://openalex.org/W1987054041","doi":"https://doi.org/10.1109/acc.2013.6579992","title":"Global optimization of multi-period optimal power flow","display_name":"Global optimization of multi-period optimal power flow","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W1987054041","doi":"https://doi.org/10.1109/acc.2013.6579992","mag":"1987054041"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6579992","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6579992","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-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/A5060223538","display_name":"Ajit Gopalakrishnan","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ajit Gopalakrishnan","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA, US","Dept. of Chem. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA, US","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Dept. of Chem. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA#TAB#","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038062267","display_name":"Arvind U. Raghunathan","orcid":"https://orcid.org/0000-0003-3173-3875"},"institutions":[{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]},{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Arvind U. Raghunathan","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054931604","display_name":"Daniel Nikovski","orcid":"https://orcid.org/0000-0003-2919-645X"},"institutions":[{"id":"https://openalex.org/I1306287861","display_name":"Mitsubishi Group (Japan)","ror":"https://ror.org/0234cd281","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861"]},{"id":"https://openalex.org/I4210159266","display_name":"Mitsubishi Electric (United States)","ror":"https://ror.org/053jnhe44","country_code":"US","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125","https://openalex.org/I4210159266"]}],"countries":["JP","US"],"is_corresponding":false,"raw_author_name":"Daniel Nikovski","raw_affiliation_strings":["Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mitsubishi Electric Research Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210159266"]},{"raw_affiliation_string":"Mitsubishi Electr. Res. Laboratories, Cambridge, MA, USA","institution_ids":["https://openalex.org/I1306287861"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052825722","display_name":"Lorenz T. Biegler","orcid":"https://orcid.org/0000-0003-3875-4441"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lorenz T. Biegler","raw_affiliation_strings":["Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","Dept. of Chem. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemical Engineering, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Dept. of Chem. Eng., Carnegie Mellon Univ., Pittsburgh, PA, USA#TAB#","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5060223538"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":3.5997,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.93143549,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"1157","last_page":"1164"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9998999834060669,"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":0.9998999834060669,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9973000288009644,"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":0.9941999912261963,"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":0.7603902816772461},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6813350915908813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5464088916778564},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5258917212486267},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5059754252433777},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.4905659556388855},{"id":"https://openalex.org/keywords/global-optimization","display_name":"Global optimization","score":0.4725760221481323},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.42918264865875244},{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.42129650712013245},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42056241631507874},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.41423550248146057},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4134584069252014},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33714258670806885},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.30071669816970825}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7603902816772461},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6813350915908813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5464088916778564},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5258917212486267},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5059754252433777},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.4905659556388855},{"id":"https://openalex.org/C164752517","wikidata":"https://www.wikidata.org/wiki/Q5570875","display_name":"Global optimization","level":2,"score":0.4725760221481323},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.42918264865875244},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.42129650712013245},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42056241631507874},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.41423550248146057},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4134584069252014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33714258670806885},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.30071669816970825},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/acc.2013.6579992","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6579992","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.402.8842","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.402.8842","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.570.5796","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.570.5796","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.merl.com/publications/docs/TR2013-066.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.44999998807907104,"display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W224775207","https://openalex.org/W1564910180","https://openalex.org/W1968878112","https://openalex.org/W1974887257","https://openalex.org/W2011970986","https://openalex.org/W2029821157","https://openalex.org/W2043677016","https://openalex.org/W2062451421","https://openalex.org/W2071143636","https://openalex.org/W2073191344","https://openalex.org/W2077230226","https://openalex.org/W2079144477","https://openalex.org/W2086664392","https://openalex.org/W2103643667","https://openalex.org/W2104106131","https://openalex.org/W2114153151","https://openalex.org/W2116019122","https://openalex.org/W2129146387","https://openalex.org/W2130222651","https://openalex.org/W2133919892","https://openalex.org/W2134172715","https://openalex.org/W2134869843","https://openalex.org/W2141380252","https://openalex.org/W2153292828","https://openalex.org/W2154890268","https://openalex.org/W2176090987","https://openalex.org/W2182510773","https://openalex.org/W2374425248","https://openalex.org/W2536620281","https://openalex.org/W2553087624","https://openalex.org/W2951444518","https://openalex.org/W4250286089","https://openalex.org/W4297831800","https://openalex.org/W6708662101"],"related_works":["https://openalex.org/W1527081771","https://openalex.org/W3010864523","https://openalex.org/W2187391117","https://openalex.org/W1981809986","https://openalex.org/W1843467136","https://openalex.org/W2949367465","https://openalex.org/W1896807646","https://openalex.org/W4253160883","https://openalex.org/W2040562218","https://openalex.org/W2770440678"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"we":[3],"extend":[4],"the":[5,25,32,38,44,53,63,77,91,96,106,122,132,145],"algorithm":[6,49,151],"proposed":[7,80],"in":[8,121],"[1]":[9],"to":[10,18,31,125,154],"solve":[11],"multi-period":[12,22],"optimal":[13,64],"power":[14],"flow":[15],"(MOPF)":[16],"problems":[17],"global":[19,47,156],"optimality.":[20],"The":[21,46,79,117,139],"version":[23],"of":[24,34,76,98,105,119],"OPF":[26],"is":[27,50,87,152],"time":[28,113],"coupled":[29],"due":[30],"integration":[33,118],"storage":[35,120],"systems":[36],"into":[37],"network,":[39],"and":[40,56,86,131,148],"ramp":[41,133],"constraints":[42,134],"on":[43,52,62],"generators.":[45],"optimization":[48,150],"based":[51],"spatial":[54],"branch":[55],"bound":[57],"framework":[58],"with":[59,111],"lower":[60],"bounds":[61],"objective":[65],"function":[66],"value":[67],"calculated":[68],"by":[69],"solving":[70],"a":[71,102,112],"semidefinite":[72],"programming":[73],"(SDP)":[74],"relaxation":[75,141],"MOPF.":[78,99],"approach":[81],"does":[82,142],"not":[83,143],"assume":[84],"convexity":[85],"more":[88],"general":[89],"than":[90],"ones":[92],"presented":[93],"previously":[94],"for":[95],"solution":[97],"We":[100],"present":[101],"case":[103],"study":[104],"IEEE":[107],"57":[108],"bus":[109],"instance":[110],"varying":[114],"demand":[115],"profile.":[116],"network":[123],"helps":[124],"satisfy":[126,144],"loads":[127],"during":[128],"high":[129],"demands":[130],"ensure":[135],"smooth":[136],"generation":[137],"profiles.":[138],"SDP":[140],"rank":[146],"condition,":[147],"our":[149],"able":[153],"guarantee":[155],"optimality":[157],"within":[158],"reasonable":[159],"computational":[160],"time.":[161]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":6}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
