{"id":"https://openalex.org/W4403295140","doi":"https://doi.org/10.1109/access.2024.3477970","title":"Optimized Operation of Multi-Virtual Power Plant for Energy Sharing Based on Nash Multi-Stage Robust","display_name":"Optimized Operation of Multi-Virtual Power Plant for Energy Sharing Based on Nash Multi-Stage Robust","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403295140","doi":"https://doi.org/10.1109/access.2024.3477970"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3477970","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3477970","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2024.3477970","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yong Wang","orcid":"https://orcid.org/0009-0009-6079-714X"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, &#x00DC;r&#x00FC;mqi, China","Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, Urumqi, China"],"raw_orcid":"https://orcid.org/0009-0009-6079-714X","affiliations":[{"raw_affiliation_string":"Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, &#x00DC;r&#x00FC;mqi, China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100601475","display_name":"Haiyun Wang","orcid":"https://orcid.org/0000-0001-9856-2789"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haiyun Wang","raw_affiliation_strings":["Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, &#x00DC;r&#x00FC;mqi, China","Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, Urumqi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, &#x00DC;r&#x00FC;mqi, China","institution_ids":["https://openalex.org/I96908189"]},{"raw_affiliation_string":"Engineering Research Center of Education Ministry for Renewable Energy Power Generation and Grid-Connected Control, Xinjiang University, Urumqi, China","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101972073","display_name":"Xin Du","orcid":"https://orcid.org/0000-0001-7424-1438"},"institutions":[{"id":"https://openalex.org/I4210109940","display_name":"Goldwind (China)","ror":"https://ror.org/01qe4kz15","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210109940"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Du","raw_affiliation_strings":["Goldwind Science and Technology Company Ltd., Beijing, China","Goldwind Science &#x0026; Technology Company Ltd, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Goldwind Science and Technology Company Ltd., Beijing, China","institution_ids":["https://openalex.org/I4210109940"]},{"raw_affiliation_string":"Goldwind Science &#x0026; Technology Company Ltd, Beijing, China","institution_ids":["https://openalex.org/I4210109940"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.2609,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.80294679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"12","issue":null,"first_page":"169805","last_page":"169823"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14444","display_name":"Power Systems and Renewable Energy","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2102","display_name":"Energy Engineering and Power Technology"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14444","display_name":"Power Systems and Renewable Energy","score":0.9843000173568726,"subfield":{"id":"https://openalex.org/subfields/2102","display_name":"Energy Engineering and Power Technology"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12451","display_name":"Smart Grid and Power Systems","score":0.9386000037193298,"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":0.9355000257492065,"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/computer-science","display_name":"Computer science","score":0.6823102235794067},{"id":"https://openalex.org/keywords/virtual-power-plant","display_name":"Virtual power plant","score":0.48281392455101013},{"id":"https://openalex.org/keywords/stage","display_name":"Stage (stratigraphy)","score":0.47980502247810364},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.4384238123893738},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3107191026210785},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.18931305408477783},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1224936842918396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12041234970092773},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.11443537473678589},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11069276928901672}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6823102235794067},{"id":"https://openalex.org/C2776033628","wikidata":"https://www.wikidata.org/wiki/Q785102","display_name":"Virtual power plant","level":4,"score":0.48281392455101013},{"id":"https://openalex.org/C146357865","wikidata":"https://www.wikidata.org/wiki/Q1123245","display_name":"Stage (stratigraphy)","level":2,"score":0.47980502247810364},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.4384238123893738},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3107191026210785},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.18931305408477783},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1224936842918396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12041234970092773},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.11443537473678589},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11069276928901672},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3477970","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3477970","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:bbc2af3e0ab643bd8bb4ab73cfe7ae89","is_oa":true,"landing_page_url":"https://doaj.org/article/bbc2af3e0ab643bd8bb4ab73cfe7ae89","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 169805-169823 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3477970","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3477970","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8500000238418579,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G360059557","display_name":null,"funder_award_id":"2022B01020-3","funder_id":"https://openalex.org/F4320336589","funder_display_name":"Guangxi Key Research and Development Program"},{"id":"https://openalex.org/G8488852879","display_name":null,"funder_award_id":"HGX2023KJXM008","funder_id":"https://openalex.org/F4320329836","funder_display_name":"Chuzhou Science and Technology Program"}],"funders":[{"id":"https://openalex.org/F4320329836","display_name":"Chuzhou Science and Technology Program","ror":null},{"id":"https://openalex.org/F4320336589","display_name":"Guangxi Key Research and Development Program","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W2903043946","https://openalex.org/W2906760322","https://openalex.org/W2914967911","https://openalex.org/W2966760534","https://openalex.org/W2984517272","https://openalex.org/W3000096586","https://openalex.org/W3010833892","https://openalex.org/W3014201377","https://openalex.org/W3058026672","https://openalex.org/W3087044390","https://openalex.org/W3092198091","https://openalex.org/W3109778252","https://openalex.org/W3112335786","https://openalex.org/W3128363455","https://openalex.org/W3170479104","https://openalex.org/W3173925461","https://openalex.org/W3186910207","https://openalex.org/W3209376793","https://openalex.org/W3210041060","https://openalex.org/W3216986292","https://openalex.org/W4205145371","https://openalex.org/W4210444770","https://openalex.org/W4214593975","https://openalex.org/W4225265791","https://openalex.org/W4281259543","https://openalex.org/W4309315242","https://openalex.org/W4313487669","https://openalex.org/W4323033541","https://openalex.org/W4368365683","https://openalex.org/W4381510132","https://openalex.org/W4385540841","https://openalex.org/W4386006872","https://openalex.org/W4386620678","https://openalex.org/W4390394379","https://openalex.org/W6636042695"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W4300310900","https://openalex.org/W2004209846","https://openalex.org/W67691828","https://openalex.org/W2545627629","https://openalex.org/W3025406132","https://openalex.org/W2783037270","https://openalex.org/W4386711720","https://openalex.org/W3112370676"],"abstract_inverted_index":{"Currently,":[0],"the":[1,19,27,31,36,42,49,56,65,75,84,95,123,128,131,138,146,150,154,167,173,188,192,258,261,270,273,277,287,290,296,299,304,312,324,328,339],"research":[2],"on":[3,94,109,195],"virtual":[4],"power":[5,52],"plant":[6],"(VPP)":[7],"is":[8,22,45,116,142,163,203,235,284],"mainly":[9,23],"divided":[10],"into":[11,171],"internal":[12,20,189],"optimal":[13,17],"scheduling":[14,21,44],"and":[15,33,35,54,83,91,97,133,153,257,338],"external":[16,43],"scheduling,":[18],"carried":[24],"out":[25],"from":[26],"two":[28],"sides":[29],"of":[30,38,79,87,100,130,175,191,260,289,298,301,307,314,327,331,343],"source":[32],"load":[34,341],"application":[37],"market":[39],"mechanism,":[40],"while":[41],"in":[46,70,119,237,254,281,295],"line":[47],"with":[48,59,213,232,323],"current":[50],"diversified":[51],"market,":[53],"considers":[55],"synergistic":[57],"operation":[58,99,107,306,326],"other":[60],"VPPs.":[61],"Therefore,":[62],"To":[63],"address":[64],"problems":[66],"faced":[67],"by":[68],"VPP":[69,132,151,309,333,345],"dispatch":[71],"operation,":[72],"such":[73],"as":[74],"low":[76],"economic":[77,124],"efficiency":[78],"VPPs":[80,247],"operating":[81,329],"independently":[82],"high":[85],"impact":[86,300],"grid":[88],"electricity":[89],"prices":[90],"source-load":[92],"uncertainty":[93,174],"safe":[96],"stable":[98],"VPPs,":[101],"a":[102,158,183,197,206,219],"method":[103,263,279],"for":[104,114,250],"energy":[105,199],"sharing":[106,200],"based":[108],"Nash":[110,207,214,221,291],"multi-stage":[111,159,222],"robust":[112,160,211,223,293],"optimization":[113,161,201,212,224,278,288],"multi-VPP":[115,198,220],"proposed.":[117],"Firstly,":[118],"order":[120,238],"to":[121,144,165,186,217,239,310],"coordinate":[122],"interests":[125],"conflict":[126],"between":[127,149],"operators":[129],"electric":[134],"vehicle":[135],"(EV)":[136],"users,":[137],"Stackelberg":[139],"game":[140],"theory":[141,216],"adopted":[143],"characterize":[145],"interactive":[147],"behavior":[148],"operator":[152],"EV":[155],"users.":[156],"Meanwhile,":[157],"model":[162,242],"used":[164],"construct":[166],"upper-level":[168],"entity,":[169],"taking":[170],"account":[172],"price-source-load.":[176],"Unlike":[177],"traditional":[178],"models,":[179],"this":[180,241,255,282],"paper":[181,283],"utilizes":[182],"min-maxmin-maxmin":[184],"construction":[185],"describe":[187],"relationships":[190],"model.":[193,225],"Based":[194],"this,":[196],"framework":[202],"established":[204],"using":[205],"game.":[208],"It":[209],"combines":[210],"bargaining":[215],"create":[218],"Additionally,":[226],"nested":[227],"C&CG":[228],"algorithms":[229,234],"are":[230],"combined":[231],"ADMM":[233],"proposed":[236,262,280],"solve":[240],"effectively.":[243],"Finally,":[244,268],"three":[245],"multi-energy":[246],"were":[248],"selected":[249],"case":[251,271],"study":[252],"analysis":[253],"paper,":[256],"effectiveness":[259],"was":[264],"validated":[265],"through":[266,269],"simulation.":[267],"study,":[272],"results":[274],"show":[275],"that":[276],"feasible,":[285],"after":[286],"three-stage":[292],"model,":[294],"face":[297],"multiple":[302],"uncertainties,":[303],"cooperative":[305],"each":[308,332,344],"enhance":[311],"revenue":[313],"396.40":[315],"yuan,":[316,318,320],"610.75":[317],"732.53":[319],"respectively,":[321],"compared":[322],"independent":[325],"cost":[330],"have":[334],"been":[335],"significantly":[336],"reduced,":[337],"system":[340],"demand":[342],"can":[346],"be":[347],"fully":[348],"satisfied.":[349]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
