{"id":"https://openalex.org/W4221157684","doi":"https://doi.org/10.1109/tcst.2022.3183164","title":"Optimal Adaptive Droop Design via a Modified Relaxation of the OPF","display_name":"Optimal Adaptive Droop Design via a Modified Relaxation of the OPF","publication_year":2022,"publication_date":"2022-06-28","ids":{"openalex":"https://openalex.org/W4221157684","doi":"https://doi.org/10.1109/tcst.2022.3183164"},"language":"en","primary_location":{"id":"doi:10.1109/tcst.2022.3183164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2022.3183164","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2203.09190","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074329628","display_name":"H. Sekhavatmanesh","orcid":null},"institutions":[{"id":"https://openalex.org/I2972652528","display_name":"FHNW University of Applied Sciences and Arts Northwestern Switzerland","ror":"https://ror.org/04mq2g308","country_code":"CH","type":"education","lineage":["https://openalex.org/I2972652528"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Hossein Sekhavatmanesh","raw_affiliation_strings":["Institute of Electrical Engineering, FachHochschule NordWestschweiz (FHNW), Windisch, Switzerland"],"raw_orcid":"https://orcid.org/0000-0003-1928-7147","affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, FachHochschule NordWestschweiz (FHNW), Windisch, Switzerland","institution_ids":["https://openalex.org/I2972652528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074145693","display_name":"Giancarlo Ferrari\u2010Trecate","orcid":"https://orcid.org/0000-0002-9492-9624"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Giancarlo Ferrari-Trecate","raw_affiliation_strings":["Institute of Mechanical Engineering, &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Lausanne, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-9492-9624","affiliations":[{"raw_affiliation_string":"Institute of Mechanical Engineering, &#x00C9;cole Polytechnique F&#x00E9;d&#x00E9;rale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071065657","display_name":"S. Mastellone","orcid":null},"institutions":[{"id":"https://openalex.org/I2972652528","display_name":"FHNW University of Applied Sciences and Arts Northwestern Switzerland","ror":"https://ror.org/04mq2g308","country_code":"CH","type":"education","lineage":["https://openalex.org/I2972652528"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Silvia Mastellone","raw_affiliation_strings":["Institute of Electrical Engineering, FachHochschule NordWestschweiz (FHNW), Windisch, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-7731-8821","affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, FachHochschule NordWestschweiz (FHNW), Windisch, Switzerland","institution_ids":["https://openalex.org/I2972652528"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01227416,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"2","first_page":"497","last_page":"510"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.8450000286102295,"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":0.8450000286102295,"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":0.05860000103712082,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.04170000180602074,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/voltage-droop","display_name":"Voltage droop","score":0.9401445984840393},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5650073885917664},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5038873553276062},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.47365865111351013},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4487878978252411},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.44207966327667236},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.27876365184783936},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2500385642051697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2068084478378296},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1670011281967163}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.9401445984840393},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5650073885917664},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5038873553276062},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.47365865111351013},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4487878978252411},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.44207966327667236},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.27876365184783936},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2500385642051697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2068084478378296},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1670011281967163},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tcst.2022.3183164","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcst.2022.3183164","pdf_url":null,"source":{"id":"https://openalex.org/S133363738","display_name":"IEEE Transactions on Control Systems Technology","issn_l":"1063-6536","issn":["1063-6536","1558-0865","2374-0159"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Control Systems Technology","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2203.09190","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.09190","pdf_url":"https://arxiv.org/pdf/2203.09190","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:295248","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/189259","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5124864","host_organization_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","host_organization_lineage":["https://openalex.org/I5124864"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"},{"id":"doi:10.48550/arxiv.2203.09190","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2203.09190","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2203.09190","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.09190","pdf_url":"https://arxiv.org/pdf/2203.09190","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1974059941","https://openalex.org/W1977985274","https://openalex.org/W1988252428","https://openalex.org/W1990833963","https://openalex.org/W1995884781","https://openalex.org/W2001515100","https://openalex.org/W2053842902","https://openalex.org/W2056420628","https://openalex.org/W2057057063","https://openalex.org/W2063559372","https://openalex.org/W2093909370","https://openalex.org/W2112050417","https://openalex.org/W2112716483","https://openalex.org/W2120599644","https://openalex.org/W2136236807","https://openalex.org/W2159443831","https://openalex.org/W2186178845","https://openalex.org/W2413256709","https://openalex.org/W2512061132","https://openalex.org/W2522099193","https://openalex.org/W2740655068","https://openalex.org/W2789882870","https://openalex.org/W2792090142","https://openalex.org/W2802975248","https://openalex.org/W2903487627","https://openalex.org/W2919738170","https://openalex.org/W2922251527","https://openalex.org/W2948632676","https://openalex.org/W2962848173","https://openalex.org/W2962937944","https://openalex.org/W2962964418","https://openalex.org/W2964128981","https://openalex.org/W2964220051","https://openalex.org/W3007916647","https://openalex.org/W3013090425","https://openalex.org/W3082676325","https://openalex.org/W3111766054","https://openalex.org/W3112854243","https://openalex.org/W3152687569","https://openalex.org/W3212897443","https://openalex.org/W4241079583"],"related_works":["https://openalex.org/W14961806","https://openalex.org/W496663","https://openalex.org/W16079134","https://openalex.org/W10606939","https://openalex.org/W9442318","https://openalex.org/W6856818","https://openalex.org/W11924840","https://openalex.org/W7164753","https://openalex.org/W2124194","https://openalex.org/W9892384"],"abstract_inverted_index":{"The":[0,83,239],"ever-increasing":[1],"penetration":[2,110],"of":[3,18,132,185,196,241,248],"renewable":[4],"energy":[5],"resources":[6],"(RESs)":[7],"in":[8,152,182,188],"power":[9,88,90,167],"distribution":[10,215],"networks":[11],"has":[12],"brought,":[13],"among":[14],"others,":[15],"the":[16,20,24,32,59,105,133,176,183,189,194,197,229,235,242,246,249],"challenge":[17],"maintaining":[19],"grid":[21,106],"voltages":[22],"within":[23],"secure":[25],"region.":[26],"Employing":[27],"droop":[28,47,134],"voltage":[29,93,122],"regulators":[30,79],"on":[31,254],"RES\u2019s":[33],"inverters":[34],"is":[35,75,85,136,146,171,221,232],"an":[36,218,225],"efficient":[37],"and":[38,62,92,121,209,245,257],"low-cost":[39],"solution":[40,199,227],"to":[41,86,96,102,139,173,223,228,234],"reach":[42],"this":[43,69,140],"objective.":[44],"However,":[45],"fixing":[46],"parameters":[48],"or":[49],"optimizing":[50],"them":[51],"only":[52],"for":[53,77,193,212],"overvoltage":[54],"conditions":[55,113,192,203],"does":[56],"not":[57],"provide":[58],"required":[60],"robustness":[61],"optimality":[63],"under":[64,111],"changing":[65],"operating":[66],"conditions.":[67],"In":[68],"article,":[70],"a":[71,125,128,142,149,155,159,162,207],"convex":[72],"optimization":[73],"approach":[74,220,244],"proposed":[76,172,222,250],"reconfiguring$P$\u2013$V$and$Q$\u2013$V$droop":[78],"during":[80],"online":[81],"operation.":[82],"objective":[84],"minimize":[87],"curtailment,":[89],"losses,":[91],"deviation":[94],"subject":[95],"electrical":[97,116,177],"security":[98,117,178],"constraints.":[99],"This":[100],"enables":[101],"optimally":[103],"operate":[104],"with":[107,154],"high":[108],"RES":[109],"variable":[112],"while":[114],"preserving":[115],"constraints":[118,179],"(e.g.,":[119],"current":[120],"limits).":[123],"As":[124,158],"first":[126],"contribution,":[127,161],"mixed-integer":[129],"linear":[130],"model":[131,251],"characteristics":[135],"developed.":[137],"According":[138],"model,":[141],"droop-regulated":[143],"generation":[144],"unit":[145],"represented":[147],"as":[148],"constant-power":[150],"generator":[151],"parallel":[153],"constant-impedance":[156,186],"load.":[157],"second":[160],"modified":[163],"augmented":[164],"relaxed":[165],"optimal":[166,237],"flow":[168],"(MAR-OPF)":[169],"formulation":[170],"guarantee":[174],"that":[175,231],"are":[180,200,210,252],"respected":[181],"presence":[184],"loads":[187],"network.":[190],"Sufficient":[191],"feasibility":[195],"MAR-OPF":[198,230,243],"provided.":[201],"Those":[202],"can":[204],"be":[205],"checked":[206],"priori":[208],"valid":[211],"several":[213],"real":[214],"networks.":[216,260],"Furthermore,":[217],"iterative":[219],"derive":[224],"approximate":[226],"close":[233],"global":[236],"one.":[238],"performance":[240],"accuracy":[247],"evaluated":[253],"standard":[255],"34-":[256],"85-bus":[258],"test":[259]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2022-04-03T00:00:00"}
