{"id":"https://openalex.org/W4324290860","doi":"https://doi.org/10.1109/tsg.2023.3253886","title":"Dynamic Weighted-Gradient Descent Method With Smoothing Momentum for Distributed Energy Management of Multi-Microgrids Systems","display_name":"Dynamic Weighted-Gradient Descent Method With Smoothing Momentum for Distributed Energy Management of Multi-Microgrids Systems","publication_year":2023,"publication_date":"2023-03-14","ids":{"openalex":"https://openalex.org/W4324290860","doi":"https://doi.org/10.1109/tsg.2023.3253886"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2023.3253886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3253886","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/A5102791768","display_name":"Cong Bai","orcid":"https://orcid.org/0000-0002-5312-6008"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cong Bai","raw_affiliation_strings":["State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-5312-6008","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045914211","display_name":"Qiang Li","orcid":"https://orcid.org/0000-0002-1899-2808"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Li","raw_affiliation_strings":["State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China"],"raw_orcid":"https://orcid.org/0000-0002-1899-2808","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031207286","display_name":"Xinze Zheng","orcid":"https://orcid.org/0009-0006-1872-1369"},"institutions":[{"id":"https://openalex.org/I158842170","display_name":"Chongqing University","ror":"https://ror.org/023rhb549","country_code":"CN","type":"education","lineage":["https://openalex.org/I158842170"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinze Zheng","raw_affiliation_strings":["State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China","institution_ids":["https://openalex.org/I158842170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012423320","display_name":"Xingpeng Yin","orcid":null},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingpeng Yin","raw_affiliation_strings":["Yunfu Power Supply Bureau, China Southern Power Grid Company Ltd, Yunfu, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yunfu Power Supply Bureau, China Southern Power Grid Company Ltd, Yunfu, China","institution_ids":["https://openalex.org/I74872605"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086057629","display_name":"Yingjie Tan","orcid":"https://orcid.org/0000-0003-2579-3046"},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingjie Tan","raw_affiliation_strings":["Electric Power Research Institute, China Southern Power Grid Company Ltd, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electric Power Research Institute, China Southern Power Grid Company Ltd, Guangzhou, China","institution_ids":["https://openalex.org/I74872605"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5102791768"],"corresponding_institution_ids":["https://openalex.org/I158842170"],"apc_list":null,"apc_paid":null,"fwci":1.6608,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.8351727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":"14","issue":"6","first_page":"4152","last_page":"4168"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10148","display_name":"Advanced MIMO Systems Optimization","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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9937999844551086,"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":0.6549776792526245},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6185644268989563},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5781776905059814},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.549265444278717},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.537345826625824},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5155398845672607},{"id":"https://openalex.org/keywords/smoothing","display_name":"Smoothing","score":0.4765123426914215},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4598897099494934},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.44848570227622986},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.41261452436447144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34306013584136963},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.2289900779724121},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.11841315031051636}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6549776792526245},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6185644268989563},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5781776905059814},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.549265444278717},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.537345826625824},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5155398845672607},{"id":"https://openalex.org/C3770464","wikidata":"https://www.wikidata.org/wiki/Q775963","display_name":"Smoothing","level":2,"score":0.4765123426914215},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4598897099494934},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.44848570227622986},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.41261452436447144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34306013584136963},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.2289900779724121},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.11841315031051636},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2023.3253886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3253886","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":[{"score":0.8399999737739563,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2030211792","display_name":null,"funder_award_id":"035300KK52210006","funder_id":"https://openalex.org/F4320323192","funder_display_name":"China Southern Power Grid"},{"id":"https://openalex.org/G4593187163","display_name":null,"funder_award_id":"61105125","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G56651331","display_name":null,"funder_award_id":"51177177","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/F4320323192","display_name":"China Southern Power Grid","ror":"https://ror.org/03hkh9419"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1967409140","https://openalex.org/W1990907552","https://openalex.org/W1992786332","https://openalex.org/W2026304005","https://openalex.org/W2038832483","https://openalex.org/W2071321648","https://openalex.org/W2114085163","https://openalex.org/W2145877535","https://openalex.org/W2148576984","https://openalex.org/W2164278908","https://openalex.org/W2282690477","https://openalex.org/W2300835437","https://openalex.org/W2332586023","https://openalex.org/W2332879323","https://openalex.org/W2343206695","https://openalex.org/W2553595431","https://openalex.org/W2738379986","https://openalex.org/W2776463926","https://openalex.org/W2779055119","https://openalex.org/W2784181010","https://openalex.org/W2785898226","https://openalex.org/W2792827033","https://openalex.org/W2796210679","https://openalex.org/W2799638352","https://openalex.org/W2887408556","https://openalex.org/W2905021314","https://openalex.org/W2907784016","https://openalex.org/W2943272207","https://openalex.org/W2963250913","https://openalex.org/W2966937216","https://openalex.org/W2967283718","https://openalex.org/W2974216930","https://openalex.org/W3009379744","https://openalex.org/W3013685922","https://openalex.org/W3114362091","https://openalex.org/W3124206517","https://openalex.org/W3135349110","https://openalex.org/W3163136228","https://openalex.org/W3196139993","https://openalex.org/W3201338531","https://openalex.org/W3215823571","https://openalex.org/W3217791394","https://openalex.org/W4220755016","https://openalex.org/W4223946433","https://openalex.org/W4247652937","https://openalex.org/W6648512075","https://openalex.org/W6787582303"],"related_works":["https://openalex.org/W2846499288","https://openalex.org/W263682811","https://openalex.org/W2564172750","https://openalex.org/W3197592642","https://openalex.org/W2088605360","https://openalex.org/W3199158697","https://openalex.org/W2356977358","https://openalex.org/W2302465375","https://openalex.org/W2098528027","https://openalex.org/W2379811207"],"abstract_inverted_index":{"Distributed":[0],"optimization":[1],"methods":[2,21,174],"are":[3,69,104,125,140,147,166,190],"powerful":[4],"tools":[5],"to":[6,36,71,82,143],"deal":[7],"with":[8],"complex":[9],"systems.":[10],"However,":[11],"the":[12,38,43,46,51,59,61,75,86,93,98,128,135,151,159,182,198],"slow":[13],"convergence":[14,39,84,116,131],"rates":[15,117],"of":[16,45,53,64,74,101,111,130,137,161,163,170],"some":[17],"widely":[18,172],"used":[19,173],"distributed":[20,55,195],"have":[22],"restricted":[23],"their":[24],"applications.":[25],"In":[26],"this":[27],"paper,":[28],"a":[29,123,156,186,194],"dynamic":[30,47],"weighted-gradient":[31],"descent":[32],"method":[33,165],"is":[34,50,78,89],"proposed":[35],"improve":[37],"rate":[40],"significantly,":[41],"where":[42],"construction":[44],"weighted":[48],"matrix":[49],"key":[52],"our":[54,164,180],"method.":[56],"To":[57],"form":[58],"matrix,":[60,76],"maximal":[62],"differences":[63],"gradients":[65,112],"between":[66],"neighbor":[67],"agents":[68,206],"calculated":[70],"derive":[72],"entries":[73],"which":[77,107,133],"an":[79],"effective":[80],"way":[81],"accelerate":[83],"while":[85],"equality":[87],"constraint":[88],"always":[90],"satisfied.":[91],"Furthermore,":[92],"momentum":[94],"terms":[95],"based":[96],"on":[97,208],"last":[99],"updates":[100],"decision":[102],"variables":[103],"also":[105],"introduced,":[106],"reduce":[108],"frequent":[109],"change":[110],"and":[113,122,150,197],"speed":[114],"up":[115],"further.":[118],"Next,":[119],"two":[120],"propositions":[121],"theorem":[124],"proved":[126],"in":[127,185,193],"analysis":[129],"part,":[132],"show":[134,153],"values":[136],"objective":[138],"functions":[139],"monotonically":[141],"decreasing":[142],"optima.":[144],"Finally,":[145],"simulations":[146],"carried":[148],"out,":[149],"results":[152],"that":[154],"for":[155],"given":[157],"accuracy,":[158],"number":[160],"iterations":[162],"only":[167],"one":[168],"fourth":[169],"three":[171],"or":[175],"even":[176,204],"less.":[177],"Additionally,":[178],"applying":[179],"method,":[181],"optimal":[183],"dispatches":[184],"multi-microgrid":[187],"(MMG)":[188],"system":[189],"achieved":[191],"fast":[192],"manner,":[196],"MMG":[199],"can":[200],"still":[201],"work":[202],"well,":[203],"if":[205],"fail":[207],"communication":[209],"networks.":[210]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}