{"id":"https://openalex.org/W3159930161","doi":"https://doi.org/10.1109/tnse.2021.3076526","title":"Distributed Optimal Economic Environmental Dispatch for Microgrids Over Time-Varying Directed Communication Graph","display_name":"Distributed Optimal Economic Environmental Dispatch for Microgrids Over Time-Varying Directed Communication Graph","publication_year":2021,"publication_date":"2021-04-01","ids":{"openalex":"https://openalex.org/W3159930161","doi":"https://doi.org/10.1109/tnse.2021.3076526","mag":"3159930161"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2021.3076526","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2021.3076526","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network 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/A5108677693","display_name":"Li-Ning Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li-Ning Liu","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031737874","display_name":"Guang\u2010Hong Yang","orcid":"https://orcid.org/0000-0002-8911-0112"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guang-Hong Yang","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, China","State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5108677693"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":9.4759,"has_fulltext":false,"cited_by_count":96,"citation_normalized_percentile":{"value":0.98602111,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"8","issue":"2","first_page":"1913","last_page":"1924"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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/T10603","display_name":"Smart Grid Energy Management","score":0.9976000189781189,"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":0.9865999817848206,"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":0.6840062141418457},{"id":"https://openalex.org/keywords/economic-dispatch","display_name":"Economic dispatch","score":0.657878041267395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6362147331237793},{"id":"https://openalex.org/keywords/distributed-algorithm","display_name":"Distributed algorithm","score":0.6252875328063965},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6098824739456177},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.531403660774231},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5263553857803345},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.4709000885486603},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.45883315801620483},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4461883306503296},{"id":"https://openalex.org/keywords/pareto-optimal","display_name":"Pareto optimal","score":0.43292829394340515},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41861337423324585},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.4092210531234741},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.16401243209838867},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14864903688430786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.10929113626480103},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.10172611474990845}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6840062141418457},{"id":"https://openalex.org/C187633118","wikidata":"https://www.wikidata.org/wiki/Q1317949","display_name":"Economic dispatch","level":4,"score":0.657878041267395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6362147331237793},{"id":"https://openalex.org/C130120984","wikidata":"https://www.wikidata.org/wiki/Q2835898","display_name":"Distributed algorithm","level":2,"score":0.6252875328063965},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6098824739456177},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.531403660774231},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5263553857803345},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.4709000885486603},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.45883315801620483},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4461883306503296},{"id":"https://openalex.org/C2986314615","wikidata":"https://www.wikidata.org/wiki/Q36829","display_name":"Pareto optimal","level":3,"score":0.43292829394340515},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41861337423324585},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.4092210531234741},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.16401243209838867},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14864903688430786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.10929113626480103},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.10172611474990845},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2021.3076526","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2021.3076526","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6292974479","display_name":null,"funder_award_id":"2020YFE0201100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"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":42,"referenced_works":["https://openalex.org/W1571403844","https://openalex.org/W1903515055","https://openalex.org/W1976178455","https://openalex.org/W1985849528","https://openalex.org/W1992296912","https://openalex.org/W1994762984","https://openalex.org/W1999578068","https://openalex.org/W2008499862","https://openalex.org/W2016902352","https://openalex.org/W2053395228","https://openalex.org/W2062912550","https://openalex.org/W2137006212","https://openalex.org/W2137435346","https://openalex.org/W2150823352","https://openalex.org/W2168991848","https://openalex.org/W2332586023","https://openalex.org/W2344231792","https://openalex.org/W2493109494","https://openalex.org/W2529364728","https://openalex.org/W2533385740","https://openalex.org/W2584604366","https://openalex.org/W2612203520","https://openalex.org/W2732924191","https://openalex.org/W2769909638","https://openalex.org/W2793787509","https://openalex.org/W2802195037","https://openalex.org/W2807456789","https://openalex.org/W2911385647","https://openalex.org/W2922105571","https://openalex.org/W2922150078","https://openalex.org/W2926613059","https://openalex.org/W2936021295","https://openalex.org/W2950789589","https://openalex.org/W2963649943","https://openalex.org/W2964280898","https://openalex.org/W2981261926","https://openalex.org/W3000344965","https://openalex.org/W3037952385","https://openalex.org/W3101737857","https://openalex.org/W3118560429","https://openalex.org/W3137936024","https://openalex.org/W6761292859"],"related_works":["https://openalex.org/W2612203520","https://openalex.org/W2337862504","https://openalex.org/W2906508526","https://openalex.org/W2515997272","https://openalex.org/W2411183154","https://openalex.org/W2988430768","https://openalex.org/W1968680568","https://openalex.org/W2344231792","https://openalex.org/W4285126450","https://openalex.org/W2123512339"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,19,34,46,86,91,108,114,118,131,137,142,151],"combined":[4],"economic":[5,143],"environmental":[6,25,145],"dispatch":[7],"problem":[8,93],"of":[9,141,147,164],"Microgrids":[10],"in":[11],"a":[12,29,100],"distributed":[13,30,35,83,173],"manner.":[14],"In":[15],"order":[16],"to":[17,44,64,113],"optimize":[18],"competing":[20],"agminated":[21],"operation":[22],"cost":[23],"and":[24,54,77,144,149,159],"impact":[26],"objectives":[27],"simultaneously,":[28],"method":[31,133],"which":[32],"combines":[33],"consensus":[36],"based":[37],"algorithm":[38,88,110],"with":[39,99,171],"dynamic":[40],"weights":[41],"is":[42,105,167],"proposed":[43,87,109,132],"assign":[45],"energy":[47,51],"among":[48,69],"generation":[49],"units,":[50,53],"storage":[52],"load":[55],"units.":[56],"By":[57],"this":[58],"method,":[59],"each":[60],"unit":[61],"only":[62],"needs":[63],"share":[65],"its":[66],"local":[67],"information":[68],"neighbours,":[70],"thus":[71],"it":[72,104],"offers":[73],"better":[74],"flexibility,":[75],"robustness":[76],"privacy.":[78],"Besides,":[79],"different":[80],"from":[81],"existing":[82],"optimization":[84],"algorithms,":[85],"can":[89,111,134],"solve":[90],"multi-objective":[92],"over":[94],"time-varying":[95],"directed":[96],"communication":[97],"graph":[98],"fixed":[101],"step-size.":[102],"Furthermore,":[103],"proved":[106],"that":[107,130],"converge":[112],"optimal":[115],"solution":[116],"if":[117],"step-size":[119],"does":[120],"not":[121],"exceed":[122],"some":[123,172],"upper":[124],"bound.":[125],"The":[126,162],"simulation":[127],"results":[128],"show":[129],"simultaneously":[135],"coordinate":[136],"two":[138],"conflicting":[139],"goals":[140],"aspects":[146],"Microgrids,":[148],"obtain":[150],"entire":[152],"Pareto":[153],"front,":[154],"effectively":[155],"reducing":[156],"operating":[157],"costs":[158],"pollutant":[160],"emissions.":[161],"advantage":[163],"convergence":[165],"speed":[166],"also":[168],"shown":[169],"compared":[170],"algorithms.":[174]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":26},{"year":2024,"cited_by_count":20},{"year":2023,"cited_by_count":25},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}