{"id":"https://openalex.org/W7204162859","doi":"https://doi.org/10.48550/arxiv.2608.23444","title":"Fair Dynamic Operating Envelopes using Distributed Multi-Period Optimal Power Flow and Jain Index for Active Distribution Networks","display_name":"Fair Dynamic Operating Envelopes using Distributed Multi-Period Optimal Power Flow and Jain Index for Active Distribution Networks","publication_year":2026,"publication_date":"2026-08-24","ids":{"openalex":"https://openalex.org/W7204162859","doi":"https://doi.org/10.48550/arxiv.2608.23444"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.23444","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.23444","pdf_url":"https://arxiv.org/pdf/2608.23444","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.23444","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148077062","display_name":"Pedro Salom\u00e3o Quessongo","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I52418104","display_name":"Universidade Federal do Paran\u00e1","ror":"https://ror.org/05syd6y78","country_code":"BR","type":"education","lineage":["https://openalex.org/I52418104"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Quessongo, Pedro Salom\u00e3o","raw_affiliation_strings":["Dept. of Electrical Engineering Federal University of Paran\u00e1 (UFPR) Curitiba , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical Engineering Federal University of Paran\u00e1 (UFPR) Curitiba , Brazil","institution_ids":["https://openalex.org/I52418104"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009750635","display_name":"Daniel Gebbran","orcid":"https://orcid.org/0000-0001-9591-171X","observed_orcids":["https://orcid.org/0000-0001-9591-171X"]},"institutions":[{"id":"https://openalex.org/I52418104","display_name":"Universidade Federal do Paran\u00e1","ror":"https://ror.org/05syd6y78","country_code":"BR","type":"education","lineage":["https://openalex.org/I52418104"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Gebbran, Daniel","raw_affiliation_strings":["Clodomiro Unsihuay-Vila Dept. of Electrical Engineering Federal University of Paran\u00e1 (UFPR) Curitiba , Brazil","Dept. of Electrical Engineering Federal University of Paran\u00e1 (UFPR) Curitiba , Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Clodomiro Unsihuay-Vila Dept. of Electrical Engineering Federal University of Paran\u00e1 (UFPR) Curitiba , Brazil","institution_ids":["https://openalex.org/I52418104"]},{"raw_affiliation_string":"Dept. of Electrical Engineering Federal University of Paran\u00e1 (UFPR) Curitiba , Brazil","institution_ids":["https://openalex.org/I52418104"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058602773","display_name":"Clodomiro Unsihuay\u2010Vila","orcid":"https://orcid.org/0000-0002-1639-7765","observed_orcids":["https://orcid.org/0000-0002-1639-7765"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Unsihuay-Vila, Clodomiro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9878000020980835,"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":0.9878000020980835,"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/T10603","display_name":"Smart Grid Energy Management","score":0.006300000008195639,"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":0.00419999985024333,"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/dynamic-operating-envelopes","display_name":"dynamic operating envelopes","score":0.996999979019165},{"id":"https://openalex.org/keywords/active-distribution-networks","display_name":"active distribution networks","score":0.7879999876022339},{"id":"https://openalex.org/keywords/multi-period-optimal-power-flow","display_name":"multi-period optimal power flow","score":0.7549999952316284},{"id":"https://openalex.org/keywords/distributed-optimal-power-flow","display_name":"distributed optimal power flow","score":0.7649999856948853},{"id":"https://openalex.org/keywords/jain-s-fairness-index","display_name":"Jain's fairness index","score":0.8759999871253967},{"id":"https://openalex.org/keywords/prosumers","display_name":"prosumers","score":0.7490000128746033},{"id":"https://openalex.org/keywords/curtailment","display_name":"curtailment","score":0.7829999923706055},{"id":"https://openalex.org/keywords/battery-energy-storage","display_name":"battery energy storage","score":0.9649999737739563},{"id":"https://openalex.org/keywords/renewable-energy-uncertainty","display_name":"renewable energy uncertainty","score":0.5630000233650208},{"id":"https://openalex.org/keywords/alternating-direction-method-of-multipliers","display_name":"alternating direction method of multipliers","score":0.9350000023841858},{"id":"https://openalex.org/keywords/equity-efficiency-trade-off","display_name":"equity-efficiency trade-off","score":0.8259999752044678}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5182999968528748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.505299985408783},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.4406999945640564},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.4350999891757965},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.3995000123977661},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.39160001277923584},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.3898000121116638},{"id":"https://openalex.org/C22762622","wikidata":"https://www.wikidata.org/wiki/Q628904","display_name":"Operating point","level":2,"score":0.349700003862381},{"id":"https://openalex.org/C81081738","wikidata":"https://www.wikidata.org/wiki/Q55542","display_name":"Lossless compression","level":3,"score":0.34380000829696655},{"id":"https://openalex.org/C2777347956","wikidata":"https://www.wikidata.org/wiki/Q1362005","display_name":"Operating cost","level":2,"score":0.3398999869823456},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.3370000123977661},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.3224000036716461},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.31360000371932983},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.31029999256134033},{"id":"https://openalex.org/C2780771206","wikidata":"https://www.wikidata.org/wiki/Q3271761","display_name":"Safeguard","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.3043000102043152},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.27799999713897705},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.2533000111579895},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.25290000438690186},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.25270000100135803},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.23444","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.23444","pdf_url":"https://arxiv.org/pdf/2608.23444","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.23444","doi":"https://doi.org/10.48550/arxiv.2608.23444","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.23444","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.23444","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.23444","pdf_url":"https://arxiv.org/pdf/2608.23444","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,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.9090999960899353,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204162859.pdf","grobid_xml":"https://content.openalex.org/works/W7204162859.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W1630733292"],"related_works":["https://openalex.org/W7221547570","https://openalex.org/W7171716926","https://openalex.org/W7140086866","https://openalex.org/W4403126789","https://openalex.org/W4376467328","https://openalex.org/W3128503689","https://openalex.org/W4402666249","https://openalex.org/W7166682766","https://openalex.org/W4386124163","https://openalex.org/W4289867950"],"abstract_inverted_index":{"Dynamic":[0],"operating":[1],"envelopes":[2],"(DOEs)":[3],"are":[4,108],"increasingly":[5],"used":[6],"to":[7,170],"publish":[8],"time-varying":[9],"export":[10,76,86],"limits":[11],"that":[12,51,64,174],"keep":[13],"distribution":[14],"networks":[15],"within":[16],"operational":[17,125],"limits.":[18],"Purely":[19],"technical":[20,71],"DOE":[21,194],"allocation,":[22],"however,":[23],"can":[24],"systematically":[25],"privilege":[26],"electrically":[27],"favorable":[28],"prosumers,":[29],"while":[30,113],"embedding":[31],"fairness":[32,167,184],"directly":[33],"into":[34],"a":[35,49,60,70,83,130,140,153,200],"single-period":[36],"optimal":[37],"power":[38,149],"flow":[39],"(OPF)":[40],"objective":[41],"mixes":[42],"network":[43],"feasibility,":[44],"equity":[45],"and":[46,88,121,144,182],"efficiency":[47,102],"in":[48,157,197],"way":[50],"obscures":[52],"the":[53,96],"cost":[54],"of":[55,67,136],"fairness.":[56],"This":[57],"paper":[58],"proposes":[59],"two-stage,":[61],"multi-period":[62,183],"framework":[63],"addresses":[65],"both":[66,176],"these.":[68],"Initially,":[69],"distributed":[72],"OPF":[73],"computes":[74],"network-feasible":[75],"envelopes.":[77],"The":[78,104,124],"subsequent":[79],"stage":[80],"then":[81],"applies":[82],"dynamic":[84],"aggregate":[85],"budget":[87],"redistributes":[89],"capacity":[90],"through":[91],"cumulative":[92],"proportional":[93],"fairness,":[94,162],"limiting":[95],"additional":[97],"curtailment":[98,158,180],"by":[99,129],"an":[100,189],"admissible":[101],"budget.":[103],"resulting":[105],"fair":[106],"DOEs":[107],"treated":[109],"as":[110,163],"first-stage":[111],"decisions,":[112],"battery":[114],"storage":[115,177],"provides":[116],"scenario-dependent":[117],"recourse":[118],"under":[119],"demand":[120],"renewable":[122],"uncertainty.":[123],"problem":[126],"is":[127,188],"solved":[128],"calibrated":[131],"regional":[132],"alternating":[133],"direction":[134],"method":[135],"multipliers":[137],"(ADMM)":[138],"on":[139,161],"lossless":[141],"LinDistFlow":[142],"model":[143],"independently":[145],"validated":[146],"using":[147],"AC":[148],"flow.":[150],"We":[151],"observe":[152],"trade-off":[154],"between":[155],"increases":[156,186],"\\emph{versus}":[159],"improvements":[160],"expected,":[164],"reaching":[165],"Jain":[166],"indices":[168],"close":[169],"unity.":[171],"Results":[172],"show":[173],"considering":[175],"(which":[178,185],"alleviates":[179],"impact)":[181],"curtailment)":[187],"interesting":[190],"approach":[191],"for":[192],"modern":[193],"design,":[195],"which":[196],"turn":[198],"requires":[199],"multi-period,":[201],"co-designed":[202],"approach.":[203]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-26T00:00:00"}