{"id":"https://openalex.org/W3196350816","doi":"https://doi.org/10.1109/tsg.2021.3111029","title":"Stochastic Energy Management of Active Distribution Network Based on Improved Approximate Dynamic Programming","display_name":"Stochastic Energy Management of Active Distribution Network Based on Improved Approximate Dynamic Programming","publication_year":2021,"publication_date":"2021-09-08","ids":{"openalex":"https://openalex.org/W3196350816","doi":"https://doi.org/10.1109/tsg.2021.3111029","mag":"3196350816"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2021.3111029","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2021.3111029","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/A5068873092","display_name":"Jianquan Zhu","orcid":"https://orcid.org/0000-0001-6701-4018"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianquan Zhu","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075107111","display_name":"Jiajun Chen","orcid":"https://orcid.org/0000-0001-8084-7292"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiajun Chen","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035982972","display_name":"Yelin Zhuo","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yelin Zhuo","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026011881","display_name":"Xiemin Mo","orcid":"https://orcid.org/0009-0006-5724-4243"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiemin Mo","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101513125","display_name":"Ye Guo","orcid":"https://orcid.org/0000-0002-8016-2020"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ye Guo","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046013818","display_name":"Linpeng Liu","orcid":"https://orcid.org/0000-0001-7234-9779"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Linpeng Liu","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018898756","display_name":"Mingbo Liu","orcid":"https://orcid.org/0000-0001-9097-9045"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingbo Liu","raw_affiliation_strings":["School of Electric Power Engineering, South China University of Technology, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Electric Power Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5068873092"],"corresponding_institution_ids":["https://openalex.org/I90610280"],"apc_list":null,"apc_paid":null,"fwci":1.7046,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.84316161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"13","issue":"1","first_page":"406","last_page":"416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9994999766349792,"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/T10424","display_name":"Electric Power System Optimization","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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7145317792892456},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6560561656951904},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.6268349289894104},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.5418222546577454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5403885841369629},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5147559642791748},{"id":"https://openalex.org/keywords/dependency","display_name":"Dependency (UML)","score":0.4845675528049469},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.46859923005104065},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.4265378415584564},{"id":"https://openalex.org/keywords/basis-function","display_name":"Basis function","score":0.4117448031902313},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36357957124710083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29512396454811096}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7145317792892456},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6560561656951904},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.6268349289894104},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.5418222546577454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5403885841369629},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5147559642791748},{"id":"https://openalex.org/C19768560","wikidata":"https://www.wikidata.org/wiki/Q320727","display_name":"Dependency (UML)","level":2,"score":0.4845675528049469},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.46859923005104065},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.4265378415584564},{"id":"https://openalex.org/C5917680","wikidata":"https://www.wikidata.org/wiki/Q2621825","display_name":"Basis function","level":2,"score":0.4117448031902313},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36357957124710083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29512396454811096},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2021.3111029","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2021.3111029","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","id":"https://metadata.un.org/sdg/7","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G1839127213","display_name":null,"funder_award_id":"51307064","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4713160512","display_name":null,"funder_award_id":"51977081","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5185910759","display_name":null,"funder_award_id":"2019A1515010877","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1987835331","https://openalex.org/W1989500638","https://openalex.org/W1992679131","https://openalex.org/W2062778210","https://openalex.org/W2145759217","https://openalex.org/W2199153360","https://openalex.org/W2344938262","https://openalex.org/W2345158658","https://openalex.org/W2516587876","https://openalex.org/W2546436176","https://openalex.org/W2552671119","https://openalex.org/W2553261477","https://openalex.org/W2783680483","https://openalex.org/W2785111396","https://openalex.org/W2794351730","https://openalex.org/W2827363701","https://openalex.org/W2884320687","https://openalex.org/W2884522054","https://openalex.org/W2889021906","https://openalex.org/W2900827190","https://openalex.org/W2924826474","https://openalex.org/W2932128957","https://openalex.org/W2996291664","https://openalex.org/W3014304369"],"related_works":["https://openalex.org/W4239477580","https://openalex.org/W2952594763","https://openalex.org/W4285537323","https://openalex.org/W175006096","https://openalex.org/W2090698372","https://openalex.org/W4383890581","https://openalex.org/W2921905705","https://openalex.org/W4233178034","https://openalex.org/W2003293420","https://openalex.org/W2110376385"],"abstract_inverted_index":{"The":[0,136],"energy":[1],"management":[2],"(EM)":[3],"of":[4,40,90,101,154,177],"active":[5],"distribution":[6],"network":[7],"(ADN)":[8],"under":[9],"uncertainties":[10],"is":[11,110],"a":[12,38,167],"stochastic,":[13],"nonconvex":[14],"and":[15,47,150,166],"nonlinear":[16],"problem,":[17],"which":[18,42,70],"cannot":[19],"be":[20,96,141],"solved":[21],"by":[22],"traditional":[23],"algorithms":[24],"in":[25],"acceptable":[26],"time.":[27],"In":[28],"this":[29,33],"paper,":[30],"we":[31],"decouple":[32],"computationally":[34],"intractable":[35],"problem":[36],"into":[37,143],"series":[39],"subproblems":[41],"are":[43,124,171],"easier":[44],"to":[45,53,72,113,131,145,173],"handle,":[46],"then":[48],"solve":[49],"them":[50],"successively":[51],"according":[52,112],"an":[54],"improved":[55],"approximate":[56,65,79,92,107],"dynamic":[57,66],"programming":[58,67],"(IADP)":[59],"algorithm.":[60,135],"Different":[61],"from":[62,126],"the":[63,88,99,106,114,120,127,134,147,152,175,178],"existing":[64],"(ADP)":[68],"algorithms,":[69],"need":[71],"update":[73],"value":[74,80,93,108,116],"functions":[75,81,94,123],"iteratively,":[76],"IADP":[77,144],"obtains":[78],"directly":[82],"using":[83],"Galerkin":[84],"method.":[85],"Such":[86],"that":[87],"time":[89],"updating":[91],"can":[95,139],"omitted.":[97],"Furthermore,":[98],"influence":[100],"each":[102],"basis":[103,122,128],"function":[104,109,129],"on":[105,160],"evaluated":[111],"absolute":[115],"inequality":[117],"principle.":[118],"Then":[119],"unimportant":[121],"removed":[125],"set":[130],"speed":[132],"up":[133],"historical":[137],"data":[138],"also":[140],"embedded":[142],"facilitate":[146],"online":[148],"decision-making":[149],"reduce":[151],"dependency":[153],"real-time":[155],"forecast":[156],"information.":[157],"Numerical":[158],"simulations":[159],"two":[161],"modified":[162],"IEEE":[163],"test":[164],"systems":[165],"real":[168],"682-bus":[169],"ADN":[170],"given":[172],"illustrate":[174],"effectiveness":[176],"proposed":[179],"approach.":[180]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
