{"id":"https://openalex.org/W7162304955","doi":"https://doi.org/10.48550/arxiv.2605.23671","title":"A Non-Iterative Algorithm for Clearing Two-Layer Energy-Sharing Markets with Voltage Constraints","display_name":"A Non-Iterative Algorithm for Clearing Two-Layer Energy-Sharing Markets with Voltage Constraints","publication_year":2026,"publication_date":"2026-05-22","ids":{"openalex":"https://openalex.org/W7162304955","doi":"https://doi.org/10.48550/arxiv.2605.23671"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.23671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23671","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.23671","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047853564","display_name":"Tonghua Liu","orcid":"https://orcid.org/0000-0002-6717-8810"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Tonghua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136968340","display_name":"Yifan Su","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Su, Yifan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136958721","display_name":"Zhaojian Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wang, Zhaojian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5136902199","display_name":"Feng Liu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liu, Feng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.31290000677108765,"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":0.31290000677108765,"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":0.2667999863624573,"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":0.2524000108242035,"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/market-clearing","display_name":"Market clearing","score":0.7678999900817871},{"id":"https://openalex.org/keywords/clearing","display_name":"Clearing","score":0.6425999999046326},{"id":"https://openalex.org/keywords/bilevel-optimization","display_name":"Bilevel optimization","score":0.6316999793052673},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.585099995136261},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.5346999764442444},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4814999997615814},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.460099995136261},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.4318000078201294}],"concepts":[{"id":"https://openalex.org/C14981831","wikidata":"https://www.wikidata.org/wiki/Q1713661","display_name":"Market clearing","level":2,"score":0.7678999900817871},{"id":"https://openalex.org/C134697681","wikidata":"https://www.wikidata.org/wiki/Q1609677","display_name":"Clearing","level":2,"score":0.6425999999046326},{"id":"https://openalex.org/C3309286","wikidata":"https://www.wikidata.org/wiki/Q4907693","display_name":"Bilevel optimization","level":3,"score":0.6316999793052673},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.629800021648407},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.585099995136261},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5584999918937683},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5346999764442444},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4814999997615814},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.460099995136261},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.4318000078201294},{"id":"https://openalex.org/C196796808","wikidata":"https://www.wikidata.org/wiki/Q132629","display_name":"Electrical network","level":2,"score":0.42320001125335693},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4072999954223633},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3944999873638153},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.3310999870300293},{"id":"https://openalex.org/C146733006","wikidata":"https://www.wikidata.org/wiki/Q676081","display_name":"Electricity market","level":3,"score":0.3050999939441681},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.2863999903202057},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C2989126829","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Power network","level":4,"score":0.2678000032901764},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.2502000033855438}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.23671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23671","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":"doi:10.48550/arxiv.2605.23671","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.23671","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"score":0.7862871885299683,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Real-time":[0],"hierarchical":[1],"energy-sharing":[2,67,82],"markets":[3,68],"are":[4],"promising":[5],"to":[6,53,89],"coordinate":[7],"large":[8],"numbers":[9],"of":[10],"prosumers.":[11],"Still,":[12],"most":[13],"existing":[14],"clearing":[15,63],"methods":[16],"rely":[17],"on":[18,126],"linearized":[19],"or":[20,31],"DC":[21],"power-flow":[22],"models":[23],"and":[24,84,107,145],"do":[25],"not":[26],"explicitly":[27],"handle":[28],"reactive":[29],"power":[30],"voltage-security":[32],"constraints.":[33,71],"With":[34],"AC":[35],"network":[36],"constraints,":[37],"the":[38,86,94,103,109,127,136],"problem":[39,106],"becomes":[40],"a":[41,61,113],"large-scale":[42],"bilevel":[43,110],"Mathematical":[44],"Program":[45],"with":[46,69,131,148],"Equilibrium":[47],"Constraints":[48],"(MPEC)":[49],"that":[50,135],"is":[51,121],"difficult":[52],"solve":[54],"in":[55,153],"real":[56],"time.":[57],"This":[58],"paper":[59],"develops":[60],"non-iterative":[62],"algorithm":[64],"for":[65,79],"two-layer":[66],"voltage":[70],"We":[72,97],"first":[73],"derive":[74],"an":[75],"efficient":[76],"best-response":[77],"function":[78,101],"each":[80],"lower-layer":[81],"market":[83],"reduce":[85],"equilibrium":[87],"search":[88],"one":[90],"dimension":[91],"by":[92],"exploiting":[93],"pricing-coupling":[95],"structure.":[96],"then":[98],"embed":[99],"this":[100],"into":[102],"upper-layer":[104],"network-constrained":[105],"reformulate":[108],"MPEC":[111],"as":[112],"single-level":[114],"mixed-integer":[115],"second-order":[116],"cone":[117],"program":[118],"(MISOCP),":[119],"which":[120],"computationally":[122],"tractable.":[123],"Case":[124],"studies":[125],"IEEE":[128],"123-bus":[129],"system":[130],"12,300":[132],"prosumers":[133],"show":[134],"proposed":[137],"method":[138],"preserves":[139],"nodal":[140],"voltages":[141],"within":[142],"prescribed":[143],"limits":[144],"delivers":[146],"solutions":[147],"maximum":[149],"errors":[150],"below":[151],"0.01\\%":[152],"0.829":[154],"s.":[155]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-05-26T00:00:00"}