{"id":"https://openalex.org/W4285263816","doi":"https://doi.org/10.1109/tsg.2022.3178704","title":"DC Voltage Oscillation Stability Analysis of DC-Voltage-Droop-Controlled Multiterminal DC Distribution System Using Reduced-Order Modal Calculation","display_name":"DC Voltage Oscillation Stability Analysis of DC-Voltage-Droop-Controlled Multiterminal DC Distribution System Using Reduced-Order Modal Calculation","publication_year":2022,"publication_date":"2022-05-30","ids":{"openalex":"https://openalex.org/W4285263816","doi":"https://doi.org/10.1109/tsg.2022.3178704"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2022.3178704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2022.3178704","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/A5080191905","display_name":"Qiang Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiang Fu","raw_affiliation_strings":["Electric Engineering School, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Electric Engineering School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108064743","display_name":"Wenjuan Du","orcid":"https://orcid.org/0000-0002-2482-6742"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjuan Du","raw_affiliation_strings":["Electric Engineering School, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Electric Engineering School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091671980","display_name":"Haifeng Wang","orcid":"https://orcid.org/0000-0002-8875-0003"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Wang","raw_affiliation_strings":["Electric Engineering School, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Electric Engineering School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061803252","display_name":"Xiaoyang Ma","orcid":"https://orcid.org/0000-0003-1639-2670"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoyang Ma","raw_affiliation_strings":["Electric Engineering School, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Electric Engineering School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041666549","display_name":"Xianyong Xiao","orcid":"https://orcid.org/0000-0001-5926-4068"},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianyong Xiao","raw_affiliation_strings":["Electric Engineering School, Sichuan University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Electric Engineering School, Sichuan University, Chengdu, China","institution_ids":["https://openalex.org/I24185976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5080191905"],"corresponding_institution_ids":["https://openalex.org/I24185976"],"apc_list":null,"apc_paid":null,"fwci":2.7883,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.90344376,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"13","issue":"6","first_page":"4327","last_page":"4339"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9965999722480774,"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":0.9873999953269958,"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/voltage-droop","display_name":"Voltage droop","score":0.8926612138748169},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7338416576385498},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.6777517199516296},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.6186938285827637},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.5834910273551941},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.5447297096252441},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5070281028747559},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4993753433227539},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.4935711622238159},{"id":"https://openalex.org/keywords/modal-analysis","display_name":"Modal analysis","score":0.49242863059043884},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.42822733521461487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3686542510986328},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36850666999816895},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24937817454338074},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23671886324882507},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.1057521402835846},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.09046202898025513},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.0821002721786499}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8926612138748169},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7338416576385498},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.6777517199516296},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.6186938285827637},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5834910273551941},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5447297096252441},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5070281028747559},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4993753433227539},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.4935711622238159},{"id":"https://openalex.org/C104286136","wikidata":"https://www.wikidata.org/wiki/Q1416137","display_name":"Modal analysis","level":3,"score":0.49242863059043884},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.42822733521461487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3686542510986328},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36850666999816895},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24937817454338074},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23671886324882507},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.1057521402835846},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.09046202898025513},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0821002721786499},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2022.3178704","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2022.3178704","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":0.4699999988079071,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G6520354509","display_name":null,"funder_award_id":"52077144","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/F4320322990","display_name":"Sichuan University","ror":"https://ror.org/011ashp19"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1556867418","https://openalex.org/W2008282185","https://openalex.org/W2014366918","https://openalex.org/W2016777822","https://openalex.org/W2024673216","https://openalex.org/W2035445002","https://openalex.org/W2055836636","https://openalex.org/W2056834683","https://openalex.org/W2074307360","https://openalex.org/W2086845059","https://openalex.org/W2132932042","https://openalex.org/W2147954988","https://openalex.org/W2160888607","https://openalex.org/W2168538680","https://openalex.org/W2346333715","https://openalex.org/W2354037911","https://openalex.org/W2411616204","https://openalex.org/W2414519435","https://openalex.org/W2418987274","https://openalex.org/W2493268548","https://openalex.org/W2549766222","https://openalex.org/W2560199170","https://openalex.org/W2573777293","https://openalex.org/W2599950709","https://openalex.org/W2626732145","https://openalex.org/W2735324707","https://openalex.org/W2749076398","https://openalex.org/W2776114286","https://openalex.org/W2802873986","https://openalex.org/W2948262204","https://openalex.org/W2954646619","https://openalex.org/W3027040292","https://openalex.org/W3039425649","https://openalex.org/W3080925399","https://openalex.org/W3109842875","https://openalex.org/W3190013436","https://openalex.org/W4232401620","https://openalex.org/W4254822001","https://openalex.org/W6630305796"],"related_works":["https://openalex.org/W2269166041","https://openalex.org/W2409882009","https://openalex.org/W2157888865","https://openalex.org/W2977399316","https://openalex.org/W2159163347","https://openalex.org/W2361310367","https://openalex.org/W2080072286","https://openalex.org/W2805471441","https://openalex.org/W2015680840","https://openalex.org/W3095660817"],"abstract_inverted_index":{"To":[0],"reduce":[1],"the":[2,27,51,59,78,81,84,101,108,119,127,130,144,154,157],"dimensions":[3],"of":[4,58,68,80,129,156],"a":[5,18,34,64,69,90,111,174,178],"multiterminal":[6],"DC":[7,85,102,133,180],"(MTDC)":[8],"distribution":[9,72,113,181],"system":[10,73,114,182],"connected":[11],"with":[12,41,115,164,183],"multiple":[13],"voltage":[14,103],"source":[15],"converters":[16],"(VSCs),":[17],"dynamic":[19,65],"equivalent":[20,66],"model":[21,67],"is":[22,74,96,122],"normally":[23],"established,":[24],"assuming":[25],"that":[26],"VSCs":[28,60,82],"are":[29,39,61,135,160,170],"either":[30],"identical":[31],"or":[32],"have":[33],"specified":[35],"topology.":[36],"These":[37],"assumptions":[38],"inconsistent":[40],"practical":[42],"scenarios,":[43],"and":[44,63,83,106,132,137,177],"thus,":[45],"may":[46],"lead":[47],"to":[48,98,150],"errors":[49],"in":[50],"analyzed":[52],"results.":[53],"In":[54],"this":[55],"study,":[56],"differences":[57],"considered,":[62],"DC-voltage-droop-controlled":[70],"MTDC":[71,112],"established":[75],"by":[76,162,172],"reconstructing":[77],"dynamics":[79],"network.":[86],"Based":[87],"on":[88],"that,":[89],"dynamic-reconstruction-based":[91],"reduced-order":[92,166],"modal":[93],"calculation":[94],"method":[95,146,159],"proposed":[97,145,158],"quickly":[99],"calculate":[100],"oscillation":[104],"mode":[105],"determine":[107],"stability.":[109],"For":[110],"N":[116],"different":[117,185],"VSCs,":[118],"highest":[120,141],"dimension":[121,142],"NH":[123],"+":[124],"T,":[125,138],"where":[126],"orders":[128],"VSC":[131],"network":[134],"H":[136,151],"respectively.":[139],"The":[140,168],"using":[143],"can":[147],"be":[148],"reduced":[149],"+1.":[152],"Finally,":[153],"advances":[155],"demonstrated":[161],"comparing":[163],"other":[165],"methods.":[167],"conclusions":[169],"verified":[171],"both":[173],"simple":[175],"example":[176],"large-scale":[179],"100":[184],"VSCs.":[186]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-29T08:15:47.926485","created_date":"2025-10-10T00:00:00"}