{"id":"https://openalex.org/W2573296977","doi":"https://doi.org/10.1109/tsg.2017.2652919","title":"Distributed Real-Time Economic Dispatch in Smart Grids: A State-Based Potential Game Approach","display_name":"Distributed Real-Time Economic Dispatch in Smart Grids: A State-Based Potential Game Approach","publication_year":2017,"publication_date":"2017-01-17","ids":{"openalex":"https://openalex.org/W2573296977","doi":"https://doi.org/10.1109/tsg.2017.2652919","mag":"2573296977"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2017.2652919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2017.2652919","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/A5052129514","display_name":"Yile Liang","orcid":"https://orcid.org/0000-0001-7068-5912"},"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yile Liang","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7068-5912","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Feng Liu","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-2279-2558","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shengwei Mei","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2757-5977","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":null,"apc_paid":null,"fwci":2.1121,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.87689626,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"9","issue":"5","first_page":"4194","last_page":"4208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9987999796867371,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9979000091552734,"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/potential-game","display_name":"Potential game","score":0.8518223762512207},{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.813460648059845},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7198665738105774},{"id":"https://openalex.org/keywords/smart-grid","display_name":"Smart grid","score":0.6402245163917542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6075854301452637},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.6048361659049988},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.5191211104393005},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.49680355191230774},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.4739934206008911},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4676755368709564},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.46138623356819153},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.4261133372783661},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.41494351625442505},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4133705496788025},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.3862379193305969},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.36537131667137146},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.2939170002937317},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20175915956497192},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17402058839797974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14389580488204956},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.07669350504875183}],"concepts":[{"id":"https://openalex.org/C2778079155","wikidata":"https://www.wikidata.org/wiki/Q288500","display_name":"Potential game","level":3,"score":0.8518223762512207},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.813460648059845},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7198665738105774},{"id":"https://openalex.org/C10558101","wikidata":"https://www.wikidata.org/wiki/Q689855","display_name":"Smart grid","level":2,"score":0.6402245163917542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6075854301452637},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.6048361659049988},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.5191211104393005},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.49680355191230774},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.4739934206008911},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4676755368709564},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.46138623356819153},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.4261133372783661},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.41494351625442505},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4133705496788025},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.3862379193305969},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.36537131667137146},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2939170002937317},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20175915956497192},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17402058839797974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14389580488204956},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.07669350504875183},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2017.2652919","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2017.2652919","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":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.46000000834465027}],"awards":[{"id":"https://openalex.org/G1944249978","display_name":null,"funder_award_id":"51621065","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2013955184","display_name":null,"funder_award_id":"51677100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5829475755","display_name":null,"funder_award_id":"51377092","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W573545190","https://openalex.org/W750498331","https://openalex.org/W1619611869","https://openalex.org/W1656496418","https://openalex.org/W1964743539","https://openalex.org/W1972768959","https://openalex.org/W1975561159","https://openalex.org/W1999578068","https://openalex.org/W2002154164","https://openalex.org/W2025920748","https://openalex.org/W2030423628","https://openalex.org/W2032987408","https://openalex.org/W2042290665","https://openalex.org/W2042464810","https://openalex.org/W2080637564","https://openalex.org/W2117618281","https://openalex.org/W2147552962","https://openalex.org/W2150823352","https://openalex.org/W2169077434","https://openalex.org/W2187249362","https://openalex.org/W2196867644","https://openalex.org/W2320346668","https://openalex.org/W2344383225","https://openalex.org/W2550064385","https://openalex.org/W3022321359","https://openalex.org/W4242209908","https://openalex.org/W4250589301","https://openalex.org/W6700313196","https://openalex.org/W6729511197"],"related_works":["https://openalex.org/W1896807646","https://openalex.org/W2612203520","https://openalex.org/W2550064385","https://openalex.org/W4253160883","https://openalex.org/W2906508526","https://openalex.org/W2515997272","https://openalex.org/W2528338391","https://openalex.org/W2411183154","https://openalex.org/W2126431628","https://openalex.org/W4285126450"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"a":[3,40,72,79],"distributed":[4,80],"optimization":[5,42],"algorithm":[6,81,109,144],"based":[7],"on":[8,133],"state-based":[9],"potential":[10],"game":[11,70],"(SPG)":[12],"is":[13,110],"proposed":[14,108],"for":[15,82],"the":[16,26,33,50,57,68,84,90,95,99,103,134,143,149],"real-time":[17],"economic":[18],"dispatch":[19],"(RTED)":[20],"problem":[21,43],"in":[22,49,67,119],"smart":[23],"grids.":[24],"Under":[25],"DC":[27],"power":[28],"flow":[29],"approximation,":[30],"we":[31,55],"formulate":[32],"RTED":[34],"with":[35,71],"coupled":[36],"operational":[37],"constraints":[38,118],"as":[39,52],"centralized":[41],"(C-RTED).":[44],"By":[45],"treating":[46],"each":[47],"node":[48],"grid":[51],"an":[53,60],"agent,":[54],"convert":[56],"C-RTED":[58,85,105],"into":[59],"SPG":[61,96],"by":[62],"augmenting":[63],"its":[64],"objective":[65],"function":[66],"designed":[69],"local":[73],"augmented":[74],"Lagrange-like":[75],"function,":[76],"leading":[77],"to":[78,127,148],"solving":[83],"problem.":[86,106],"We":[87],"reveal":[88],"that":[89,142],"stationary-state":[91],"Nash":[92],"equilibrium":[93],"of":[94,102,112],"exactly":[97],"identifies":[98],"global":[100,150],"optimum":[101,151],"constrained":[104],"The":[107],"capable":[111],"handling":[113],"both":[114],"equality":[115],"and":[116,122,138,156],"inequality":[117],"complicated":[120],"forms,":[121],"can":[123,145],"be":[124],"further":[125],"simplified":[126],"entail":[128],"lower":[129],"communication":[130,155],"burden.":[131],"Simulations":[132],"IEEE":[135],"9-,":[136],"39-,":[137],"118-bus":[139],"systems":[140],"confirm":[141],"quickly":[146],"converge":[147],"even":[152],"under":[153],"unreliable":[154],"plug-and-play":[157],"operations.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
