{"id":"https://openalex.org/W3045500919","doi":"https://doi.org/10.23919/acc45564.2020.9147944","title":"A Sum-of-Squares Optimization Method for Learning and Controlling Photovoltaic Systems","display_name":"A Sum-of-Squares Optimization Method for Learning and Controlling Photovoltaic Systems","publication_year":2020,"publication_date":"2020-07-01","ids":{"openalex":"https://openalex.org/W3045500919","doi":"https://doi.org/10.23919/acc45564.2020.9147944","mag":"3045500919"},"language":"en","primary_location":{"id":"doi:10.23919/acc45564.2020.9147944","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","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/A5100639545","display_name":"Xinwei Zhang","orcid":"https://orcid.org/0000-0002-3690-3127"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinwei Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067407835","display_name":"Victor Purba","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victor Purba","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100633783","display_name":"Mingyi Hong","orcid":"https://orcid.org/0000-0003-1263-9365"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mingyi Hong","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081876985","display_name":"Sairaj V. Dhople","orcid":"https://orcid.org/0000-0002-1180-1415"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sairaj Dhople","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Minnesota, Minneapolis, MN","institution_ids":["https://openalex.org/I130238516"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1611,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.43260491,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2376","last_page":"2381"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10468","display_name":"Photovoltaic System Optimization Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10468","display_name":"Photovoltaic System Optimization Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11276","display_name":"Solar Radiation and Photovoltaics","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10905","display_name":"Solar Thermal and Photovoltaic Systems","score":0.993399977684021,"subfield":{"id":"https://openalex.org/subfields/2105","display_name":"Renewable Energy, Sustainability and the Environment"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/setpoint","display_name":"Setpoint","score":0.9669140577316284},{"id":"https://openalex.org/keywords/photovoltaic-system","display_name":"Photovoltaic system","score":0.8336774110794067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5884958505630493},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4816233515739441},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.4767787754535675},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4286133646965027},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.4162510633468628},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37340444326400757},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.33542293310165405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28132426738739014},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2263755202293396},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18753790855407715},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10357308387756348}],"concepts":[{"id":"https://openalex.org/C12302492","wikidata":"https://www.wikidata.org/wiki/Q1752097","display_name":"Setpoint","level":2,"score":0.9669140577316284},{"id":"https://openalex.org/C41291067","wikidata":"https://www.wikidata.org/wiki/Q1897785","display_name":"Photovoltaic system","level":2,"score":0.8336774110794067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5884958505630493},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4816233515739441},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.4767787754535675},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4286133646965027},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.4162510633468628},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37340444326400757},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.33542293310165405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28132426738739014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2263755202293396},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18753790855407715},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10357308387756348},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc45564.2020.9147944","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc45564.2020.9147944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5899999737739563,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1577421539","https://openalex.org/W1968909928","https://openalex.org/W1993960457","https://openalex.org/W2002283459","https://openalex.org/W2046387885","https://openalex.org/W2103764200","https://openalex.org/W2108210064","https://openalex.org/W2112549477","https://openalex.org/W2118372662","https://openalex.org/W2128202699","https://openalex.org/W2131841686","https://openalex.org/W2131855287","https://openalex.org/W2164484193","https://openalex.org/W2169498704","https://openalex.org/W2264544681","https://openalex.org/W2342415883","https://openalex.org/W2491336180","https://openalex.org/W2530767044","https://openalex.org/W2575172903","https://openalex.org/W2590242002","https://openalex.org/W2593249465","https://openalex.org/W2620947501","https://openalex.org/W2921296938","https://openalex.org/W3005388791","https://openalex.org/W3160860933","https://openalex.org/W6676518587","https://openalex.org/W6677656303","https://openalex.org/W6684061903","https://openalex.org/W6693284254","https://openalex.org/W6731906769","https://openalex.org/W6795382015"],"related_works":["https://openalex.org/W1495927848","https://openalex.org/W4205962020","https://openalex.org/W2620138946","https://openalex.org/W90946887","https://openalex.org/W191702426","https://openalex.org/W2994131054","https://openalex.org/W2066553546","https://openalex.org/W4255293822","https://openalex.org/W2101935005","https://openalex.org/W2375143784"],"abstract_inverted_index":{"This":[0],"paper":[1],"outlines":[2],"a":[3,37,63,95,122,128,164],"combination":[4],"of":[5,22,31,42,53,99,130],"two":[6],"data-driven":[7],"approaches":[8],"leveraging":[9],"sum-of-squares":[10],"(SoS)":[11],"optimization":[12],"to:":[13],"i)":[14],"learn":[15],"the":[16,32,51,58,72,100,110,118,145,154],"power-voltage":[17],"(p":[18],"-":[19,156],"v)":[20],"characteristic":[21],"photovoltaic":[23],"(PV)":[24],"arrays,":[25],"and":[26,57,121,142,159],"ii)":[27],"rapidly":[28],"regulate":[29,161],"operation":[30,162],"companion":[33],"PV":[34,46,119],"inverter":[35,125],"to":[36,50,76,81,93,151,163],"desired":[38,165],"power":[39],"setpoint.":[40,166],"Estimation":[41],"available":[43],"headroom":[44],"in":[45,135,140],"systems":[47],"is":[48],"critical":[49],"task":[52],"providing":[54,77],"ancillary":[55],"services,":[56],"proposed":[59,111],"method":[60,92,146],"puts":[61],"forth":[62],"computationally":[64],"tractable":[65],"solution":[66],"with":[67,105],"minimal":[68],"data":[69],"needs":[70],"for":[71,127],"same.":[73],"In":[74],"addition":[75],"this":[78],"key":[79],"contribution":[80],"application,":[82],"from":[83],"an":[84,90,148],"algorithmic":[85],"vantage":[86],"point,":[87],"we":[88],"present":[89],"interior-point":[91],"solve":[94],"linear":[96],"regression":[97],"reformulation":[98],"original":[101],"polynomial":[102],"fitting":[103],"problem":[104],"SoS":[106],"constraints.":[107],"We":[108],"validate":[109],"algorithms":[112],"through":[113],"time-domain":[114],"numerical":[115],"simulations":[116],"(incorporating":[117],"source":[120],"15-th":[123],"order":[124],"model)":[126],"variety":[129],"large-signal":[131],"disturbances":[132],"(step":[133],"changes":[134,139],"real-power":[136],"demand,":[137],"rapid":[138],"irradiance)":[141],"demonstrate":[143],"that":[144],"provides":[147],"effective":[149],"strategy":[150],"concomitantly":[152],"discover":[153],"p":[155],"v":[157],"curve":[158],"seamlessly":[160]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}