{"id":"https://openalex.org/W4210395673","doi":"https://doi.org/10.1109/tpwrs.2022.3145065","title":"Interval Total Transfer Capability for Mesh HVDC Systems Based on Sum of Squares and Multi-Dimensional Holomorphic Embedding Method","display_name":"Interval Total Transfer Capability for Mesh HVDC Systems Based on Sum of Squares and Multi-Dimensional Holomorphic Embedding Method","publication_year":2022,"publication_date":"2022-01-25","ids":{"openalex":"https://openalex.org/W4210395673","doi":"https://doi.org/10.1109/tpwrs.2022.3145065"},"language":"en","primary_location":{"id":"doi:10.1109/tpwrs.2022.3145065","doi":"https://doi.org/10.1109/tpwrs.2022.3145065","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpwrs.2022.3145065","pdf_url":null,"source":{"id":"https://openalex.org/S201921491","display_name":"IEEE Transactions on Power Systems","issn_l":"0885-8950","issn":["0885-8950","1558-0679"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Power Systems","raw_type":"journal-article"},"volume":null,"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/A5081614104","display_name":"Yuge Sun","orcid":"https://orcid.org/0000-0003-0718-620X","observed_orcids":["https://orcid.org/0000-0003-0718-620X","https://orcid.org/0009-0008-8956-1723"]},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuge Sun","raw_affiliation_strings":["School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0003-0718-620X","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010781360","display_name":"Tao Ding","orcid":"https://orcid.org/0000-0002-7590-0172","observed_orcids":["https://orcid.org/0000-0002-7590-0172","https://orcid.org/0009-0001-5107-3694"]},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Ding","raw_affiliation_strings":["School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0002-7590-0172","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086159466","display_name":"Ming Qu","orcid":"https://orcid.org/0000-0001-7802-7631","observed_orcids":["https://orcid.org/0000-0001-7802-7631"]},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Qu","raw_affiliation_strings":["School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090944071","display_name":"Fengyu Wang","orcid":"https://orcid.org/0000-0003-1135-8035","observed_orcids":["https://orcid.org/0000-0003-1135-8035"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fengyu Wang","raw_affiliation_strings":["Market Design and Development, Midcontinental Independent System Operator, Carmel, IN, USA"],"raw_orcid":"https://orcid.org/0000-0003-1135-8035","affiliations":[{"raw_affiliation_string":"Market Design and Development, Midcontinental Independent System Operator, Carmel, IN, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062440795","display_name":"Mohammad Shahidehpour","orcid":"https://orcid.org/0000-0002-8994-1688","observed_orcids":["https://orcid.org/0000-0002-8994-1688"]},"institutions":[{"id":"https://openalex.org/I180949307","display_name":"Illinois Institute of Technology","ror":"https://ror.org/037t3ry66","country_code":"US","type":"education","lineage":["https://openalex.org/I180949307"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammad Shahidehpour","raw_affiliation_strings":["ECE Department, Illinois Institute of Technology, Chicago, IL, USA"],"raw_orcid":"https://orcid.org/0000-0002-8994-1688","affiliations":[{"raw_affiliation_string":"ECE Department, Illinois Institute of Technology, Chicago, IL, USA","institution_ids":["https://openalex.org/I180949307"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2195,"currency":"USD","value_usd":2195},"apc_paid":null,"fwci":0.8904,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.67931904,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"37","issue":"6","first_page":"4157","last_page":"4167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.37130001187324524,"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/T10424","display_name":"Electric Power System Optimization","score":0.37130001187324524,"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/T10305","display_name":"Power System Optimization and Stability","score":0.3082999885082245,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.1120000034570694,"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/total-transfer-capability","display_name":"total transfer capability","score":0.949999988079071},{"id":"https://openalex.org/keywords/interval-analysis","display_name":"interval analysis","score":0.6809999942779541},{"id":"https://openalex.org/keywords/sum-of-squares-relaxation","display_name":"sum-of-squares relaxation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/bi-level-optimization","display_name":"bi-level optimization","score":0.8510000109672546},{"id":"https://openalex.org/keywords/renewable-energy-uncertainty","display_name":"renewable energy uncertainty","score":0.7789999842643738},{"id":"https://openalex.org/keywords/transmission-capacity","display_name":"transmission capacity","score":0.3109999895095825}],"concepts":[{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6618761420249939},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5274971723556519},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.505863606929779},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4740065038204193},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45260894298553467},{"id":"https://openalex.org/C113608303","wikidata":"https://www.wikidata.org/wiki/Q1056835","display_name":"Transmission system","level":3,"score":0.4449107348918915},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.4284771978855133},{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.4235602617263794},{"id":"https://openalex.org/C2781163877","wikidata":"https://www.wikidata.org/wiki/Q370607","display_name":"High-voltage direct current","level":4,"score":0.42255163192749023},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4140024781227112},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4082825183868408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4061073362827301},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34050554037094116},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.31293219327926636},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.29298847913742065},{"id":"https://openalex.org/C2776620479","wikidata":"https://www.wikidata.org/wiki/Q159241","display_name":"Direct current","level":3,"score":0.16277265548706055},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11264592409133911},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09234416484832764},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06307077407836914},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tpwrs.2022.3145065","doi":"https://doi.org/10.1109/tpwrs.2022.3145065","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tpwrs.2022.3145065","pdf_url":null,"source":{"id":"https://openalex.org/S201921491","display_name":"IEEE Transactions on Power Systems","issn_l":"0885-8950","issn":["0885-8950","1558-0679"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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 Power Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":1.0,"display_name":"Industry, innovation and infrastructure"},{"id":"https://metadata.un.org/sdg/7","score":0.9090999960899353,"display_name":"Affordable and clean energy"}],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/7","score":0.8899999856948853,"display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G2226195143","display_name":null,"funder_award_id":"2021GXLH-Z-059","funder_id":"https://openalex.org/F4320324173","funder_display_name":"Natural Science Foundation of Shaanxi Province"},{"id":"https://openalex.org/G652081930","display_name":null,"funder_award_id":"51977166","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/F4320324173","display_name":"Natural Science Foundation of Shaanxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1425958117","https://openalex.org/W1978603907","https://openalex.org/W1984639830","https://openalex.org/W1999562671","https://openalex.org/W2004113561","https://openalex.org/W2004891368","https://openalex.org/W2006093909","https://openalex.org/W2008514108","https://openalex.org/W2010710754","https://openalex.org/W2031454011","https://openalex.org/W2040572327","https://openalex.org/W2091207038","https://openalex.org/W2095747039","https://openalex.org/W2108570598","https://openalex.org/W2116854630","https://openalex.org/W2135312672","https://openalex.org/W2137782207","https://openalex.org/W2141552601","https://openalex.org/W2143593805","https://openalex.org/W2172200392","https://openalex.org/W2257269774","https://openalex.org/W2274824320","https://openalex.org/W2319167687","https://openalex.org/W2390364481","https://openalex.org/W2558933202","https://openalex.org/W2660978056","https://openalex.org/W2793604900","https://openalex.org/W2902315169","https://openalex.org/W2903589605","https://openalex.org/W2907960639","https://openalex.org/W2912185641","https://openalex.org/W2978798886","https://openalex.org/W3006422011","https://openalex.org/W4232253107"],"related_works":["https://openalex.org/W2168590144","https://openalex.org/W2774624788","https://openalex.org/W2393380162","https://openalex.org/W2978798886","https://openalex.org/W2040572327","https://openalex.org/W3090115238","https://openalex.org/W4411234026","https://openalex.org/W2148194632","https://openalex.org/W2376407936","https://openalex.org/W3029300261"],"abstract_inverted_index":{"Total":[0],"transfer":[1,24,47,77],"capability":[2,13,25,48,78],"evaluation":[3],"is":[4,40,62,93],"an":[5,21],"effective":[6],"method":[7,33,61],"to":[8,42,64,95],"analyze":[9],"the":[10,29,44,57,66,74,97,110,119,122],"backbone":[11],"transmission":[12],"among":[14],"regions.":[15],"To":[16],"address":[17],"renewable":[18],"energy":[19],"uncertainties,":[20],"interval":[22,75],"total":[23,46,76],"model":[26,79,124],"based":[27],"on":[28,103],"multi-dimensional":[30,58],"holomorphic":[31,59],"embedding":[32,60],"and":[34,109,125],"sum":[35,89],"of":[36,69,90,121],"squares":[37,91],"relaxation":[38,92],"technique":[39],"proposed":[41,123],"solve":[43,96],"regional":[45,70],"in":[49],"meshed":[50,112],"high":[51,113],"voltage":[52,114],"direct":[53,115],"current":[54,116],"systems.":[55],"First,":[56],"used":[63],"derive":[65],"analytical":[67],"expressions":[68],"tie":[71],"lines.":[72],"Second,":[73],"can":[80],"be":[81],"reformulated":[82],"by":[83],"two":[84,98],"bi-level":[85],"optimization":[86,99],"models.":[87],"Third,":[88],"employed":[94],"problems.":[100],"Numerical":[101],"results":[102],"a":[104],"40-bus":[105],"European":[106],"Synthetic":[107],"System":[108],"Chinese":[111],"system":[117],"validate":[118],"effectiveness":[120],"method.":[126]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2022-02-08T00:00:00"}