{"id":"https://openalex.org/W4221024146","doi":"https://doi.org/10.1109/jsyst.2022.3154811","title":"Fully Distributed Second-Order Cone Programming Model for Expansion in Transmission and Distribution Networks","display_name":"Fully Distributed Second-Order Cone Programming Model for Expansion in Transmission and Distribution Networks","publication_year":2022,"publication_date":"2022-03-17","ids":{"openalex":"https://openalex.org/W4221024146","doi":"https://doi.org/10.1109/jsyst.2022.3154811"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2022.3154811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2022.3154811","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://orbit.dtu.dk/en/publications/5eed6cf7-327d-492e-9856-9a7f8a2ff0d8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100409754","display_name":"Jia Liu","orcid":"https://orcid.org/0000-0003-1547-9256"},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jia Liu","raw_affiliation_strings":["Department of Automation, Hangzhou Dianzi University, Hangzhou, China","Department of Electrical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1547-9256","affiliations":[{"raw_affiliation_string":"Department of Automation, Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]},{"raw_affiliation_string":"Department of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087654500","display_name":"Zao Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zao Tang","raw_affiliation_strings":["Department of Automation, Hangzhou Dianzi University, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004606213","display_name":"Peter Pingliang Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I50760025","display_name":"Hangzhou Dianzi University","ror":"https://ror.org/0576gt767","country_code":"CN","type":"education","lineage":["https://openalex.org/I50760025"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Peter Pingliang Zeng","raw_affiliation_strings":["Department of Automation, Hangzhou Dianzi University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-0590-0123","affiliations":[{"raw_affiliation_string":"Department of Automation, Hangzhou Dianzi University, Hangzhou, China","institution_ids":["https://openalex.org/I50760025"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069374244","display_name":"Yalou Li","orcid":"https://orcid.org/0009-0006-5912-857X"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]},{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yalou Li","raw_affiliation_strings":["China Electric Power Research Institute, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China Electric Power Research Institute, Beijing, China","institution_ids":["https://openalex.org/I153473198","https://openalex.org/I4392738113"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010334964","display_name":"Qiuwei Wu","orcid":"https://orcid.org/0000-0001-7935-2567"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Qiuwei Wu","raw_affiliation_strings":["Department of Electrical Engineering, Technical University of Denmark, Kongens Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technical University of Denmark, Kongens Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100409754"],"corresponding_institution_ids":["https://openalex.org/I50760025","https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":1.6626,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.83129175,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"4","first_page":"6681","last_page":"6692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":1.0,"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":1.0,"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":0.9993000030517578,"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":0.9991000294685364,"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":0.7236385941505432},{"id":"https://openalex.org/keywords/subnetwork","display_name":"Subnetwork","score":0.6949281692504883},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.6134384870529175},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.611635684967041},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.559192955493927},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5284613966941833},{"id":"https://openalex.org/keywords/second-order-cone-programming","display_name":"Second-order cone programming","score":0.4866271913051605},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4522725045681},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.40094977617263794},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3280215859413147},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23834913969039917},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.18257945775985718},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11747381091117859},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09323209524154663}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7236385941505432},{"id":"https://openalex.org/C2780186347","wikidata":"https://www.wikidata.org/wiki/Q11414","display_name":"Subnetwork","level":2,"score":0.6949281692504883},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.6134384870529175},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.611635684967041},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.559192955493927},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5284613966941833},{"id":"https://openalex.org/C111397411","wikidata":"https://www.wikidata.org/wiki/Q7442977","display_name":"Second-order cone programming","level":4,"score":0.4866271913051605},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4522725045681},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.40094977617263794},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3280215859413147},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23834913969039917},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.18257945775985718},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11747381091117859},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09323209524154663},{"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/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"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":2,"locations":[{"id":"doi:10.1109/jsyst.2022.3154811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2022.3154811","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/5eed6cf7-327d-492e-9856-9a7f8a2ff0d8","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/5eed6cf7-327d-492e-9856-9a7f8a2ff0d8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Liu , J , Tang , Z , Zeng , P P , Li , Y & Wu , Q 2022 , ' Fully Distributed Second-Order Cone Programming Model for Expansion in Transmission and Distribution Networks ' , IEEE Systems Journal , vol. 16 , no. 4 , pp. 6681-6692 . https://doi.org/10.1109/JSYST.2022.3154811","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/5eed6cf7-327d-492e-9856-9a7f8a2ff0d8","is_oa":true,"landing_page_url":"https://orbit.dtu.dk/en/publications/5eed6cf7-327d-492e-9856-9a7f8a2ff0d8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Liu , J , Tang , Z , Zeng , P P , Li , Y & Wu , Q 2022 , ' Fully Distributed Second-Order Cone Programming Model for Expansion in Transmission and Distribution Networks ' , IEEE Systems Journal , vol. 16 , no. 4 , pp. 6681-6692 . https://doi.org/10.1109/JSYST.2022.3154811","raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8799999952316284,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G5356246085","display_name":null,"funder_award_id":"LQ22E070001","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"},{"id":"https://openalex.org/G5558066572","display_name":null,"funder_award_id":"LQ21E070003","funder_id":"https://openalex.org/F4320338464","funder_display_name":"Natural Science Foundation of Zhejiang Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1513271081","https://openalex.org/W1825466677","https://openalex.org/W1970793907","https://openalex.org/W1984079082","https://openalex.org/W2007365660","https://openalex.org/W2012235121","https://openalex.org/W2029075710","https://openalex.org/W2056636551","https://openalex.org/W2061000803","https://openalex.org/W2061962896","https://openalex.org/W2077875278","https://openalex.org/W2123871098","https://openalex.org/W2318291364","https://openalex.org/W2332913600","https://openalex.org/W2479566716","https://openalex.org/W2514788611","https://openalex.org/W2536620281","https://openalex.org/W2549652056","https://openalex.org/W2561292641","https://openalex.org/W2569753428","https://openalex.org/W2593353776","https://openalex.org/W2621637440","https://openalex.org/W2770876975","https://openalex.org/W2791638530","https://openalex.org/W2791830490","https://openalex.org/W2795080720","https://openalex.org/W2797616392","https://openalex.org/W2802201302","https://openalex.org/W2884602066","https://openalex.org/W2894118109","https://openalex.org/W2912792336","https://openalex.org/W2945452321","https://openalex.org/W2963632188","https://openalex.org/W2974879927","https://openalex.org/W3009274030","https://openalex.org/W3043534371","https://openalex.org/W3047746328","https://openalex.org/W3048234602","https://openalex.org/W3109596916","https://openalex.org/W3167711223","https://openalex.org/W3210163133"],"related_works":["https://openalex.org/W2053271671","https://openalex.org/W2023928436","https://openalex.org/W1495965042","https://openalex.org/W90125000","https://openalex.org/W1512175223","https://openalex.org/W2261561465","https://openalex.org/W3111705864","https://openalex.org/W2257291892","https://openalex.org/W2153047409","https://openalex.org/W2951999978"],"abstract_inverted_index":{"As":[0],"the":[1,14,17,40,48,53,57,114,121,129,134,140,144,150,153,162,172,175],"penetration":[2],"level":[3,19],"of":[4,43,56,125,137,147,161,174],"distributed":[5,107],"energy":[6],"resources":[7],"(DERs)":[8],"is":[9,96,110],"increasing":[10],"at":[11,16],"distribution":[12,18,75,102],"level,":[13],"stakeholders":[15],"are":[20,164],"no":[21],"longer":[22],"pure":[23],"consumers":[24],"and":[25,39,74,79,101,143,159,166,188],"they":[26],"play":[27],"a":[28,63,105],"more":[29,190],"active":[30],"role.":[31],"DERs":[32],"can":[33,180],"be":[34],"used":[35],"for":[36,71,98],"transmission":[37,49,73,100],"needs,":[38],"technical":[41],"impacts":[42],"them":[44],"may":[45],"propagate":[46],"to":[47,90,112],"level.":[50],"To":[51],"unlock":[52],"full":[54],"benefits":[55],"transmission-distribution":[58,116,177],"coordination,":[59],"this":[60],"article":[61],"proposes":[62],"second-order":[64],"cone":[65],"programming":[66],"(SOCP)":[67],"based":[68],"expansion":[69,87,117,145,178],"model":[70],"coordinated":[72,115,176],"networks":[76],"by":[77],"decomposition":[78],"parallelization.":[80],"First,":[81],"we":[82,132],"formulate":[83],"an":[84],"SOCP-based":[85],"subnetwork":[86,127],"problem":[88,118,142],"related":[89],"voltage":[91],"phase":[92],"angle":[93],"variables":[94],"which":[95,179],"valid":[97],"both":[99],"networks.":[103],"Then,":[104],"fully":[106],"decision-making":[108],"framework":[109],"presented":[111],"solve":[113],"iteratively.":[119],"Taking":[120],"total":[122],"power":[123,186],"output":[124],"each":[126],"as":[128,139,149],"interacting":[130],"variable,":[131],"deploy":[133],"operation":[135],"optimization":[136,146],"substations":[138],"master":[141],"subnetworks":[148],"subproblems":[151],"in":[152],"modified":[154],"iteration":[155,163],"algorithm.":[156],"The":[157],"feasibility":[158],"optimality":[160],"proved":[165],"numerically":[167],"verified.":[168],"Simulation":[169],"results":[170],"indicate":[171],"advantages":[173],"prevent":[181],"line":[182],"congestion,":[183],"decrease":[184],"boundary":[185],"mismatches":[187],"accommodate":[189],"DERs.":[191]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}