{"id":"https://openalex.org/W4389459359","doi":"https://doi.org/10.1109/tsg.2023.3340157","title":"Improved Inner Approximation for Aggregating Power Flexibility in Active Distribution Networks and Its Applications","display_name":"Improved Inner Approximation for Aggregating Power Flexibility in Active Distribution Networks and Its Applications","publication_year":2023,"publication_date":"2023-12-07","ids":{"openalex":"https://openalex.org/W4389459359","doi":"https://doi.org/10.1109/tsg.2023.3340157"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2023.3340157","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3340157","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/A5039386919","display_name":"Yilin Wen","orcid":"https://orcid.org/0000-0002-8358-2792"},"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":"Yilin Wen","raw_affiliation_strings":["Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8358-2792","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079037064","display_name":"Zechun Hu","orcid":"https://orcid.org/0000-0002-1870-3375"},"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":"Zechun Hu","raw_affiliation_strings":["Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-1870-3375","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100620808","display_name":"Jinhua He","orcid":"https://orcid.org/0000-0003-4298-9454"},"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":"Jinhua He","raw_affiliation_strings":["Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053575337","display_name":"Yi Guo","orcid":"https://orcid.org/0000-0001-9589-3806"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yi Guo","raw_affiliation_strings":["Power Systems Laboratory, ETH Z&#x00FC;rich, Z&#x00FC;rich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0001-9589-3806","affiliations":[{"raw_affiliation_string":"Power Systems Laboratory, ETH Z&#x00FC;rich, Z&#x00FC;rich, Switzerland","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.154,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.96272235,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"15","issue":"4","first_page":"3653","last_page":"3665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","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/T10454","display_name":"Optimal Power Flow Distribution","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/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/T10424","display_name":"Electric Power System Optimization","score":0.9994999766349792,"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/robustness","display_name":"Robustness (evolution)","score":0.6515793800354004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6403864026069641},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6031621098518372},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.5992071032524109},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.465492844581604},{"id":"https://openalex.org/keywords/dispatchable-generation","display_name":"Dispatchable generation","score":0.45876994729042053},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.416300892829895},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.39142706990242004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2471766173839569},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13073188066482544}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6515793800354004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6403864026069641},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6031621098518372},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.5992071032524109},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.465492844581604},{"id":"https://openalex.org/C85924503","wikidata":"https://www.wikidata.org/wiki/Q5282546","display_name":"Dispatchable generation","level":4,"score":0.45876994729042053},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.416300892829895},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.39142706990242004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2471766173839569},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13073188066482544},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2023.3340157","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3340157","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G3335796811","display_name":null,"funder_award_id":"202206210220","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"}],"funders":[{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1982129843","https://openalex.org/W2068856775","https://openalex.org/W2171845477","https://openalex.org/W2291680303","https://openalex.org/W2323140498","https://openalex.org/W2327685928","https://openalex.org/W2327688955","https://openalex.org/W2332913600","https://openalex.org/W2333588906","https://openalex.org/W2344805072","https://openalex.org/W2512109574","https://openalex.org/W2599150163","https://openalex.org/W2613262164","https://openalex.org/W2789709604","https://openalex.org/W2953123634","https://openalex.org/W2962975740","https://openalex.org/W2964266044","https://openalex.org/W2990966057","https://openalex.org/W3043534371","https://openalex.org/W3082281277","https://openalex.org/W3082740031","https://openalex.org/W3091942238","https://openalex.org/W3098110552","https://openalex.org/W3111398347","https://openalex.org/W3128748598","https://openalex.org/W3138485218","https://openalex.org/W3169511960","https://openalex.org/W3193958997","https://openalex.org/W3202077632","https://openalex.org/W4211231174","https://openalex.org/W4221155522","https://openalex.org/W4285181031","https://openalex.org/W4285245710","https://openalex.org/W4301725679","https://openalex.org/W4310175039","https://openalex.org/W4312875665","https://openalex.org/W4313536130","https://openalex.org/W6810817045"],"related_works":["https://openalex.org/W2907064728","https://openalex.org/W2418139042","https://openalex.org/W4383346280","https://openalex.org/W3108551027","https://openalex.org/W2008414202","https://openalex.org/W4309761062","https://openalex.org/W2049307379","https://openalex.org/W3009992843","https://openalex.org/W4220801791","https://openalex.org/W2971847182"],"abstract_inverted_index":{"Concise":[0],"and":[1,24,57,76,117],"reliable":[2],"modeling":[3],"for":[4,21,33,44],"the":[5,45,61,68,93,104,119,132,136,144,148,153,160,174,185,192,195],"aggregated":[6],"power":[7,34],"flexibility":[8,166],"of":[9,63,67,95,106,130,155,168,194],"distributed":[10],"energy":[11],"resources":[12],"(DERs)":[13],"in":[14],"active":[15],"distribution":[16,25,46],"networks":[17],"(ADNs)":[18],"is":[19,124,170],"essential":[20],"coordinating":[22],"transmission":[23],"networks.":[26],"Inner":[27],"approximated":[28,165],"aggregation":[29,70],"models":[30],"are":[31],"desirable":[32],"system":[35],"operators":[36],"because":[37],"they":[38],"ensure":[39],"a":[40,83,114,128],"safe":[41],"dispatchable":[42],"range":[43],"network.":[47],"However,":[48],"previous":[49],"inner":[50,85,107,164],"approximation":[51,86,108],"methods":[52,109],"often":[53],"rely":[54],"on":[55,147],"experience":[56],"intuition":[58],"due":[59],"to":[60,74,88,140,158],"absence":[62],"an":[64,180],"explicit":[65],"expression":[66],"exact":[69],"model":[71,167],"(EAM),":[72],"leading":[73],"accuracy":[75],"computational":[77,161],"efficiency":[78],"challenges.":[79],"This":[80],"paper":[81],"proposes":[82],"novel":[84],"method":[87],"overcome":[89],"these":[90],"challenges,":[91],"leveraging":[92],"properties":[94],"our":[96],"recently":[97],"derived":[98],"closed-form":[99],"EAM.":[100],"Specifically,":[101],"we":[102,151],"divide":[103],"process":[105],"into":[110,173],"two":[111],"steps:":[112],"defining":[113],"geometric":[115],"prototype":[116],"calculating":[118],"parameters.":[120],"The":[121,163],"first":[122],"step":[123],"accomplished":[125],"by":[126],"selecting":[127],"subset":[129],"all":[131],"coefficient":[133,156],"vectors":[134,157],"forming":[135],"EAM":[137],"so":[138],"as":[139,179],"improve":[141,159,184],"accuracy.":[142],"In":[143],"second":[145],"step,":[146],"other":[149],"hand,":[150],"exploit":[152],"regularity":[154],"efficiency.":[162],"ADNs":[169],"further":[171],"incorporated":[172],"security-constrained":[175],"unit":[176],"commitment":[177],"problem":[178],"application,":[181],"which":[182],"helps":[183],"system\u2019s":[186],"economic":[187],"benefits.":[188],"Numerical":[189],"simulations":[190],"verify":[191],"effectiveness":[193],"proposed":[196],"method.":[197]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":22},{"year":2024,"cited_by_count":9}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
