{"id":"https://openalex.org/W4316660632","doi":"https://doi.org/10.1109/tase.2023.3236408","title":"Distributed Online Incentive Scheme for Energy Trading in Multi-Microgrid Systems","display_name":"Distributed Online Incentive Scheme for Energy Trading in Multi-Microgrid Systems","publication_year":2023,"publication_date":"2023-01-16","ids":{"openalex":"https://openalex.org/W4316660632","doi":"https://doi.org/10.1109/tase.2023.3236408"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3236408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3236408","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5035313256","display_name":"Dou An","orcid":"https://orcid.org/0000-0003-2868-0186"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dou An","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0003-2868-0186","affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087373711","display_name":"Qingyu Yang","orcid":"https://orcid.org/0000-0002-1525-2900"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qingyu Yang","raw_affiliation_strings":["SKLMSE Laboratory and the School of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-1525-2900","affiliations":[{"raw_affiliation_string":"SKLMSE Laboratory and the School of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058473468","display_name":"Donghe Li","orcid":"https://orcid.org/0000-0001-6773-3143"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donghe Li","raw_affiliation_strings":["School of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053349477","display_name":"Zongze Wu","orcid":"https://orcid.org/0000-0002-2115-8670"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongze Wu","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-2115-8670","affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I139024713"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7669,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.84135046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"21","issue":"1","first_page":"951","last_page":"964"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9977999925613403,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9977999925613403,"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":0.9954000115394592,"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/T11478","display_name":"Caching and Content Delivery","score":0.9617000222206116,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.8202388286590576},{"id":"https://openalex.org/keywords/smart-grid","display_name":"Smart grid","score":0.7059537172317505},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6460115313529968},{"id":"https://openalex.org/keywords/incentive","display_name":"Incentive","score":0.645005464553833},{"id":"https://openalex.org/keywords/incentive-compatibility","display_name":"Incentive compatibility","score":0.6244977116584778},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5043114423751831},{"id":"https://openalex.org/keywords/interoperation","display_name":"Interoperation","score":0.48994866013526917},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.4886189103126526},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4766724407672882},{"id":"https://openalex.org/keywords/purchasing","display_name":"Purchasing","score":0.46793171763420105},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4584931433200836},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.3751212954521179},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.14696237444877625},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.13959568738937378},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1337605118751526},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12760886549949646},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10442608594894409},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.09357771277427673},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.08929461240768433}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.8202388286590576},{"id":"https://openalex.org/C10558101","wikidata":"https://www.wikidata.org/wiki/Q689855","display_name":"Smart grid","level":2,"score":0.7059537172317505},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6460115313529968},{"id":"https://openalex.org/C29122968","wikidata":"https://www.wikidata.org/wiki/Q1414816","display_name":"Incentive","level":2,"score":0.645005464553833},{"id":"https://openalex.org/C91810955","wikidata":"https://www.wikidata.org/wiki/Q7731670","display_name":"Incentive compatibility","level":3,"score":0.6244977116584778},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5043114423751831},{"id":"https://openalex.org/C139458680","wikidata":"https://www.wikidata.org/wiki/Q12184942","display_name":"Interoperation","level":3,"score":0.48994866013526917},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.4886189103126526},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4766724407672882},{"id":"https://openalex.org/C2778813691","wikidata":"https://www.wikidata.org/wiki/Q1369832","display_name":"Purchasing","level":2,"score":0.46793171763420105},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4584931433200836},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.3751212954521179},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.14696237444877625},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.13959568738937378},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1337605118751526},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12760886549949646},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10442608594894409},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.09357771277427673},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.08929461240768433},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C20136886","wikidata":"https://www.wikidata.org/wiki/Q749647","display_name":"Interoperability","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2023.3236408","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3236408","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.75}],"awards":[{"id":"https://openalex.org/G3020521192","display_name":null,"funder_award_id":"61973247","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5065734402","display_name":null,"funder_award_id":"61833015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5226995995","display_name":null,"funder_award_id":"62173268","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5801680876","display_name":null,"funder_award_id":"2019YFB1704103","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5847318637","display_name":null,"funder_award_id":"2018M643659","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7192844520","display_name":null,"funder_award_id":"61673315","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G964132629","display_name":null,"funder_award_id":"61803295","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1877333218","https://openalex.org/W1963560203","https://openalex.org/W2021317151","https://openalex.org/W2023247191","https://openalex.org/W2034651661","https://openalex.org/W2038832483","https://openalex.org/W2040986667","https://openalex.org/W2048009800","https://openalex.org/W2056456094","https://openalex.org/W2099870629","https://openalex.org/W2119305986","https://openalex.org/W2146410184","https://openalex.org/W2302600822","https://openalex.org/W2343206695","https://openalex.org/W2404263528","https://openalex.org/W2510967330","https://openalex.org/W2526767376","https://openalex.org/W2590644396","https://openalex.org/W2629433172","https://openalex.org/W2737878702","https://openalex.org/W2768163101","https://openalex.org/W2776677120","https://openalex.org/W2786511190","https://openalex.org/W2788775856","https://openalex.org/W2790053239","https://openalex.org/W2793853083","https://openalex.org/W2794218781","https://openalex.org/W2807736764","https://openalex.org/W2885552284","https://openalex.org/W2909146079","https://openalex.org/W2921445803","https://openalex.org/W3015597061","https://openalex.org/W3125576929","https://openalex.org/W3182738738"],"related_works":["https://openalex.org/W2380963126","https://openalex.org/W2160425906","https://openalex.org/W2607118292","https://openalex.org/W2785392964","https://openalex.org/W4313026807","https://openalex.org/W2188511240","https://openalex.org/W4295036670","https://openalex.org/W2372653570","https://openalex.org/W2355803568","https://openalex.org/W2385207382"],"abstract_inverted_index":{"Microgrids":[0],"(MGs)":[1],"are":[2,273],"essential":[3],"components":[4],"of":[5,35,40,103,115,131,167,247,309],"a":[6,49,97,188,259,288],"smart":[7,17,27],"grid,":[8],"and":[9,37,66,85,93,118,145,186,196,222,292,301,325],"they":[10],"play":[11],"an":[12],"important":[13],"role":[14],"in":[15,33,57,60,96,135,182,254,268,316,330],"assisting":[16],"grid":[18,28],"operation.":[19],"Furthermore,":[20],"multi-MG":[21,58,169,323],"systems,":[22,59],"which":[23,61,209,269,303],"can":[24,78,326],"further":[25],"improve":[26],"operation,":[29],"raise":[30],"significant":[31],"challenges":[32],"terms":[34],"management":[36],"interoperation":[38],"because":[39],"their":[41],"increased":[42],"complexity.":[43],"To":[44,251],"address":[45],"this,":[46],"we":[47,176,257],"propose":[48],"multi-bid":[50],"online":[51],"incentive":[52,116,190,261],"scheme":[53,128,158,313],"for":[54,263],"energy":[55,142,179,198,204,290,319],"trading":[56,180,205,230,241,320,335],"MGs":[62,77,95],"act":[63,286],"as":[64,287],"buyers":[65,300],"sellers":[67,302],"to":[68,82,172,192,219,227,235,238,275,279,305],"trade":[69],"surplus":[70],"energy.":[71],"In":[72],"the":[73,86,101,109,113,126,156,161,165,168,178,220,224,229,245,248,264,270,293,299,307,318,322,331],"proposed":[74,110,127,157,187,258,312],"system,":[75,185,267],"buyer":[76,92,146,271],"submit":[79,215,276],"multiple":[80,265,277],"bids":[81,278],"different":[83,280],"sellers,":[84],"distributed":[87,189,260,289,294],"MG":[88,295],"system":[89,162,296,324],"operator":[90,297],"matches":[91,298],"seller":[94,284],"way":[98],"that":[99,108,155],"maximizes":[100],"utility":[102,308],"buyers.":[104,310],"Theoretical":[105],"analysis":[106],"demonstrates":[107],"method":[111],"meets":[112],"properties":[114],"compatibility":[117],"individual":[119],"rationality.":[120],"Moreover,":[121,282],"through":[122],"detailed":[123],"performance":[124,134],"evaluation,":[125],"was":[129],"capable":[130],"achieving":[132],"better":[133],"comparison":[136],"with":[137],"existing":[138,201],"schemes":[139],"regarding":[140],"utility,":[141],"purchasing":[143],"cost,":[144],"MG\u2019s":[147],"satisfaction":[148],"ratio.":[149],"Our":[150],"experimental":[151],"results":[152],"also":[153],"demonstrated":[154],"could":[159],"shift":[160],"peak-load,":[163],"improving":[164],"robustness":[166],"system.":[170],"Note":[171],"Practitioners\u2014In":[173],"this":[174,252,255],"article,":[175],"addressed":[177],"issues":[181],"multi-microgrid":[183],"(MG)":[184],"mechanism":[191,262],"achieve":[193],"more":[194],"flexible":[195],"efficient":[197],"allocation.":[199],"Most":[200],"works":[202],"on":[203],"use":[206],"centralized":[207],"methods,":[208],"means":[210],"all":[211],"electrical":[212],"users":[213,236],"will":[214,233],"only":[216],"one":[217],"bid":[218],"platform,":[221],"finally":[223],"platform":[225],"decides":[226],"match":[228],"parties.":[231],"This":[232],"lead":[234],"unable":[237],"actively":[239],"choose":[240],"partners,":[242],"thus":[243],"reducing":[244],"volume":[246],"whole":[249],"market.":[250,336],"end,":[253],"paper,":[256],"microgrid":[266],"microgrids":[272,285],"able":[274],"sellers.":[281],"each":[283],"market,":[291],"aims":[304],"maximize":[306],"The":[311],"is":[314],"helpful":[315],"managing":[317],"among":[321],"be":[327],"readily":[328],"implemented":[329],"real-world":[332],"large-scale":[333],"electricity":[334]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-16T13:24:37.021932","created_date":"2025-10-10T00:00:00"}
