{"id":"https://openalex.org/W2970581299","doi":"https://doi.org/10.1109/tii.2019.2937513","title":"A Distributed Dual Consensus ADMM Based on Partition for DC-DOPF With Carbon Emission Trading","display_name":"A Distributed Dual Consensus ADMM Based on Partition for DC-DOPF With Carbon Emission Trading","publication_year":2019,"publication_date":"2019-08-27","ids":{"openalex":"https://openalex.org/W2970581299","doi":"https://doi.org/10.1109/tii.2019.2937513","mag":"2970581299"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2019.2937513","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2019.2937513","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-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/A5076769004","display_name":"Linfeng Yang","orcid":"https://orcid.org/0000-0001-9854-3529"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Linfeng Yang","raw_affiliation_strings":["Guangxi University, Nanning, China"],"affiliations":[{"raw_affiliation_string":"Guangxi University, Nanning, China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080413921","display_name":"Jiangyao Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiangyao Luo","raw_affiliation_strings":["Guangxi University, Nanning, China"],"affiliations":[{"raw_affiliation_string":"Guangxi University, Nanning, China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013947981","display_name":"Yan Xu","orcid":"https://orcid.org/0000-0002-0503-183X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Yan Xu","raw_affiliation_strings":["Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012060181","display_name":"Zhenrong Zhang","orcid":"https://orcid.org/0000-0003-1125-6637"},"institutions":[{"id":"https://openalex.org/I150807315","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167","country_code":"CN","type":"education","lineage":["https://openalex.org/I150807315"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenrong Zhang","raw_affiliation_strings":["Guangxi University, Nanning, China"],"affiliations":[{"raw_affiliation_string":"Guangxi University, Nanning, China","institution_ids":["https://openalex.org/I150807315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112415925","display_name":"Zhaoyang Dong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhaoyang Dong","raw_affiliation_strings":["The University of NSW, Sydney, Australia"],"affiliations":[{"raw_affiliation_string":"The University of NSW, Sydney, Australia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5076769004"],"corresponding_institution_ids":["https://openalex.org/I150807315"],"apc_list":null,"apc_paid":null,"fwci":6.7559,"has_fulltext":false,"cited_by_count":114,"citation_normalized_percentile":{"value":0.97446142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"16","issue":"3","first_page":"1858","last_page":"1872"},"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9973999857902527,"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/partition","display_name":"Partition (number theory)","score":0.6537976264953613},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6307182312011719},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5721480846405029},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5568592548370361},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.544964075088501},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5089895725250244},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4979398250579834},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.493129700422287},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48427218198776245},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.46609464287757874},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.33657997846603394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2741093635559082},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.24516990780830383}],"concepts":[{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6537976264953613},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6307182312011719},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5721480846405029},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5568592548370361},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.544964075088501},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5089895725250244},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4979398250579834},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.493129700422287},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48427218198776245},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.46609464287757874},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.33657997846603394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2741093635559082},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.24516990780830383},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tii.2019.2937513","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2019.2937513","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Industrial Informatics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2500223858","display_name":null,"funder_award_id":"11771383","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G805142016","display_name":null,"funder_award_id":"61661004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G978441707","display_name":null,"funder_award_id":"51767003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W1125881252","https://openalex.org/W1964709249","https://openalex.org/W1978327062","https://openalex.org/W1989584438","https://openalex.org/W2007822845","https://openalex.org/W2011393317","https://openalex.org/W2029821157","https://openalex.org/W2033225140","https://openalex.org/W2033395589","https://openalex.org/W2037603831","https://openalex.org/W2045079045","https://openalex.org/W2049251811","https://openalex.org/W2054489122","https://openalex.org/W2064068173","https://openalex.org/W2079876304","https://openalex.org/W2087212580","https://openalex.org/W2088126501","https://openalex.org/W2105102609","https://openalex.org/W2108525724","https://openalex.org/W2133726159","https://openalex.org/W2141010530","https://openalex.org/W2141380252","https://openalex.org/W2150823352","https://openalex.org/W2151795203","https://openalex.org/W2157110120","https://openalex.org/W2164278908","https://openalex.org/W2175195964","https://openalex.org/W2277973662","https://openalex.org/W2313629133","https://openalex.org/W2314664144","https://openalex.org/W2320346668","https://openalex.org/W2342445519","https://openalex.org/W2344608947","https://openalex.org/W2502449239","https://openalex.org/W2528969357","https://openalex.org/W2548858558","https://openalex.org/W2554822178","https://openalex.org/W2616624758","https://openalex.org/W2625646018","https://openalex.org/W2746300872","https://openalex.org/W2962964418","https://openalex.org/W3099831354","https://openalex.org/W3104243370","https://openalex.org/W3117493475","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4292691059","https://openalex.org/W6678926812","https://openalex.org/W6684379799"],"related_works":["https://openalex.org/W3161249280","https://openalex.org/W2267059662","https://openalex.org/W2364268683","https://openalex.org/W4388411807","https://openalex.org/W1519906715","https://openalex.org/W2478803962","https://openalex.org/W3169430512","https://openalex.org/W1987507258","https://openalex.org/W2146041828","https://openalex.org/W4387635768"],"abstract_inverted_index":{"This":[0],"article":[1],"presents":[2],"a":[3,51,158],"distributed":[4,30],"alternating":[5],"direction":[6],"method":[7,48],"of":[8,62,77,85,94,121,146,153],"multipliers":[9,87,155],"(ADMMs)":[10],"approach":[11],"for":[12,162],"solving":[13,124],"the":[14,28,46,60,74,83,95,118,125,144,151,163],"direct":[15],"current":[16],"dynamic":[17],"optimal":[18],"power":[19],"flow":[20],"with":[21,108,110,128],"carbon":[22],"emission":[23],"trading":[24],"(dc-DOPF-CET)":[25],"problem.":[26],"Generally,":[27],"ADMM-based":[29],"approaches":[31],"disclose":[32],"boundary":[33,67],"buses":[34],"and":[35,88,156],"branches":[36,68],"information":[37,69],"among":[38,70],"adjacent":[39,71],"subsystems.":[40,72],"As":[41],"opposed":[42],"to":[43,58,105],"these":[44],"methods,":[45],"proposed":[47],"(dc-ADMM-P)":[49],"adopts":[50],"novel":[52],"strategy":[53,161],"which":[54,132],"uses":[55],"consensus":[56],"ADMM":[57],"solve":[59],"dual":[61,86,154],"dc-DOPF-CET":[63],"while":[64],"only":[65],"discloses":[66],"Moreover,":[73],"convergence":[75,147],"performance":[76,148],"dc-ADMM-P":[78,122],"is":[79,98],"improved":[80,91],"by":[81,149],"reducing":[82,150],"number":[84,152],"employing":[89,157],"an":[90],"update":[92,160],"step":[93],"multiplier.":[96,164],"DC-ADMM-P":[97],"tested":[99],"on":[100],"cases":[101],"ranging":[102],"from":[103],"6":[104],"1062":[106],"buses,":[107],"comparison":[109],"other":[111],"distributed/decentralized":[112],"methods.":[113],"The":[114],"simulation":[115],"results":[116],"verify":[117],"high":[119],"efficiency":[120],"in":[123],"dc-DOPF":[126],"problem":[127],"complex":[129],"(nonlinear)":[130],"factors":[131],"can":[133],"be":[134],"formulated":[135],"as":[136],"convex":[137],"separable":[138],"functions.":[139],"Meanwhile,":[140],"it":[141],"also":[142],"shows":[143],"improvement":[145],"new":[159]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":19},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":21},{"year":2020,"cited_by_count":13}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
