{"id":"https://openalex.org/W2337068192","doi":"https://doi.org/10.1109/tsg.2015.2477844","title":"Charging Strategies of EV Aggregator Under Renewable Generation and Congestion: A Normalized Nash Equilibrium Approach","display_name":"Charging Strategies of EV Aggregator Under Renewable Generation and Congestion: A Normalized Nash Equilibrium Approach","publication_year":2015,"publication_date":"2015-09-29","ids":{"openalex":"https://openalex.org/W2337068192","doi":"https://doi.org/10.1109/tsg.2015.2477844","mag":"2337068192"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2015.2477844","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2477844","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","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/A5100323700","display_name":"Wei Wei","orcid":"https://orcid.org/0000-0002-2426-3660"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]},{"id":"https://openalex.org/I4210128533","display_name":"State Key Joint Laboratory of Environment Simulation and Pollution Control","ror":"https://ror.org/03ckpzr37","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210128533"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Wei","raw_affiliation_strings":["State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I4210128533","https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100415332","display_name":"Feng Liu","orcid":"https://orcid.org/0000-0003-2279-2558"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]},{"id":"https://openalex.org/I4210128533","display_name":"State Key Joint Laboratory of Environment Simulation and Pollution Control","ror":"https://ror.org/03ckpzr37","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210128533"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Liu","raw_affiliation_strings":["State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I4210128533","https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000459401","display_name":"Shengwei Mei","orcid":"https://orcid.org/0000-0002-2757-5977"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]},{"id":"https://openalex.org/I4210128533","display_name":"State Key Joint Laboratory of Environment Simulation and Pollution Control","ror":"https://ror.org/03ckpzr37","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210128533"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengwei Mei","raw_affiliation_strings":["State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Control and Simulation of Power Systems and Generation Equipment, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I4210128533","https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100323700"],"corresponding_institution_ids":["https://openalex.org/I4210128533","https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":4.9376,"has_fulltext":false,"cited_by_count":103,"citation_normalized_percentile":{"value":0.9563546,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"7","issue":"3","first_page":"1630","last_page":"1641"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10768","display_name":"Electric Vehicles and Infrastructure","score":1.0,"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/T10768","display_name":"Electric Vehicles and Infrastructure","score":1.0,"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":0.9987000226974487,"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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/news-aggregator","display_name":"News aggregator","score":0.945978581905365},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6994925737380981},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6398753523826599},{"id":"https://openalex.org/keywords/bidding","display_name":"Bidding","score":0.5352749228477478},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5004317760467529},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.46300628781318665},{"id":"https://openalex.org/keywords/epsilon-equilibrium","display_name":"Epsilon-equilibrium","score":0.4139874577522278},{"id":"https://openalex.org/keywords/best-response","display_name":"Best response","score":0.26212000846862793},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.23537930846214294},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2241191267967224},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12969118356704712},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.12719106674194336}],"concepts":[{"id":"https://openalex.org/C180505990","wikidata":"https://www.wikidata.org/wiki/Q498267","display_name":"News aggregator","level":2,"score":0.945978581905365},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6994925737380981},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6398753523826599},{"id":"https://openalex.org/C9233905","wikidata":"https://www.wikidata.org/wiki/Q3276328","display_name":"Bidding","level":2,"score":0.5352749228477478},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5004317760467529},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.46300628781318665},{"id":"https://openalex.org/C141824439","wikidata":"https://www.wikidata.org/wiki/Q307521","display_name":"Epsilon-equilibrium","level":4,"score":0.4139874577522278},{"id":"https://openalex.org/C32407928","wikidata":"https://www.wikidata.org/wiki/Q2733833","display_name":"Best response","level":3,"score":0.26212000846862793},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.23537930846214294},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2241191267967224},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12969118356704712},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.12719106674194336},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2015.2477844","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2477844","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8500000238418579,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G2857007022","display_name":null,"funder_award_id":"51577163","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6147061337","display_name":null,"funder_award_id":"51321005","funder_id":"https://openalex.org/F4320327720","funder_display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China"},{"id":"https://openalex.org/G6308628196","display_name":null,"funder_award_id":"51007041","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/F4320327720","display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1967346783","https://openalex.org/W1968532954","https://openalex.org/W1972221945","https://openalex.org/W1979870084","https://openalex.org/W1987809617","https://openalex.org/W1993196546","https://openalex.org/W1997949764","https://openalex.org/W2022690429","https://openalex.org/W2024974439","https://openalex.org/W2040611596","https://openalex.org/W2057338659","https://openalex.org/W2059792929","https://openalex.org/W2065343413","https://openalex.org/W2067108585","https://openalex.org/W2068060907","https://openalex.org/W2070501901","https://openalex.org/W2071334094","https://openalex.org/W2075566691","https://openalex.org/W2076381662","https://openalex.org/W2078834385","https://openalex.org/W2081929325","https://openalex.org/W2089953380","https://openalex.org/W2091299146","https://openalex.org/W2094392268","https://openalex.org/W2104093457","https://openalex.org/W2110373411","https://openalex.org/W2113138664","https://openalex.org/W2117685617","https://openalex.org/W2118578357","https://openalex.org/W2141659147","https://openalex.org/W2144011235","https://openalex.org/W2161666560","https://openalex.org/W2317558501","https://openalex.org/W3022321359","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2092374696","https://openalex.org/W1853631319","https://openalex.org/W2381568910","https://openalex.org/W4301347782","https://openalex.org/W3125812435","https://openalex.org/W1667857601","https://openalex.org/W1554758635","https://openalex.org/W1976009178","https://openalex.org/W2047874730","https://openalex.org/W2025767136"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,37,83,103,119,149,163],"two-stage":[4],"charging":[5,15,32,85],"scheme":[6,156],"for":[7,68,159,168],"the":[8,14,46,61,88,95,100,110,112,128,145,180],"electric":[9],"vehicle":[10],"aggregator":[11,101],"to":[12,81,143,178],"minimize":[13],"cost":[16],"of":[17,72,172],"each":[18],"individual":[19],"participator,":[20],"while":[21],"taking":[22],"uncertain":[23],"renewable":[24,50],"generation":[25,139],"and":[26,49,64,106,124],"aggregator's":[27],"capacity":[28],"into":[29],"account.":[30],"The":[31,74],"problem":[33],"is":[34,79,91,102,125,132,141,157],"formulated":[35],"as":[36,60],"generalized":[38],"Nash":[39,76],"game":[40],"with":[41],"shared":[42,108],"global":[43,62],"constraints,":[44],"where":[45],"congestion":[47],"constraint":[48,53],"energy":[51],"utility":[52],"that":[54,93],"couple":[55],"all":[56,69],"participators'":[57],"strategies":[58],"serve":[59],"constraints":[63],"should":[65],"be":[66,115],"satisfied":[67],"possible":[70],"outcomes":[71],"uncertainty.":[73],"normalized":[75],"equilibrium":[77],"(NNE)":[78],"used":[80],"characterize":[82],"fair":[84],"decision":[86],"among":[87],"participants.":[89],"It":[90],"shown":[92],"when":[94],"commission":[96,129],"fee":[97,130],"charged":[98],"by":[99,109],"convex":[104,121],"function":[105,131],"proportionally":[107],"consumers,":[111],"NNE":[113],"can":[114],"efficiently":[116],"computed":[117],"from":[118],"particular":[120],"optimization":[122],"problem,":[123],"noninferior":[126],"if":[127],"separable":[133],"in":[134,148,162],"players.":[135],"An":[136],"adaptive":[137],"scenario":[138],"algorithm":[140],"developed":[142],"solve":[144],"proposed":[146,181],"model":[147],"tractable":[150],"manner.":[151],"A":[152],"dynamic":[153],"real-time":[154],"bidding":[155],"suggested":[158],"practical":[160],"implementations":[161],"receding":[164],"horizon":[165],"fashion,":[166],"accounting":[167],"tackling":[169],"various":[170],"kinds":[171],"uncertainties.":[173],"Numerical":[174],"results":[175],"are":[176],"presented":[177],"corroborate":[179],"technique.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":11},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5}],"updated_date":"2026-03-01T08:55:55.761014","created_date":"2025-10-10T00:00:00"}
