{"id":"https://openalex.org/W1999247919","doi":"https://doi.org/10.1109/cdc.2014.7039894","title":"Multi-time-scale stability analysis and design conditions of a VSC terminal with DC voltage droop control for HVDC networks","display_name":"Multi-time-scale stability analysis and design conditions of a VSC terminal with DC voltage droop control for HVDC networks","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1999247919","doi":"https://doi.org/10.1109/cdc.2014.7039894","mag":"1999247919"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7039894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},"type":"preprint","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/A5100736139","display_name":"Yijing Chen","orcid":"https://orcid.org/0000-0002-5865-6198"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Yijing Chen","raw_affiliation_strings":["Laboratoire des Signaux et Systemes (LSS), France","Laboratoire des Signaux et Syst\u00e8mes (LSS), Sup\u00e9lec, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Systemes (LSS), France","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes (LSS), Sup\u00e9lec, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090139107","display_name":"Gilney Damm","orcid":"https://orcid.org/0000-0002-1392-4582"},"institutions":[{"id":"https://openalex.org/I4210107733","display_name":"Informatique, BioInformatique, Syst\u00e8mes Complexes","ror":"https://ror.org/01aqxgr98","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210107733","https://openalex.org/I88467170"]},{"id":"https://openalex.org/I4390039363","display_name":"Infection et inflammation","ror":"https://ror.org/021sh3243","country_code":"FR","type":"facility","lineage":["https://openalex.org/I154526488","https://openalex.org/I195731000","https://openalex.org/I277688954","https://openalex.org/I4390039363"]},{"id":"https://openalex.org/I88467170","display_name":"Universit\u00e9 d'\u00c9vry Val-d'Essonne","ror":"https://ror.org/00e96v939","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gilney Damm","raw_affiliation_strings":["Laboratoire IBISC, Universit\u00e9 d'Evry-Val d'Essonne, France","Laboratoire IBISC, Universit\u00e9 d'Evry-Val d'Essonne, 40 rue du Pelvoux, 91020, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire IBISC, Universit\u00e9 d'Evry-Val d'Essonne, France","institution_ids":["https://openalex.org/I88467170","https://openalex.org/I4210107733","https://openalex.org/I4390039363"]},{"raw_affiliation_string":"Laboratoire IBISC, Universit\u00e9 d'Evry-Val d'Essonne, 40 rue du Pelvoux, 91020, France","institution_ids":["https://openalex.org/I88467170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029184099","display_name":"Abdelkrim Benchaib","orcid":"https://orcid.org/0000-0001-5828-1587"},"institutions":[{"id":"https://openalex.org/I124158823","display_name":"Conservatoire National des Arts et M\u00e9tiers","ror":"https://ror.org/0175hh227","country_code":"FR","type":"education","lineage":["https://openalex.org/I124158823","https://openalex.org/I4210134562"]},{"id":"https://openalex.org/I36169673","display_name":"Alstom (France)","ror":"https://ror.org/00t4db855","country_code":"FR","type":"company","lineage":["https://openalex.org/I36169673"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Abdelkrim Benchaib","raw_affiliation_strings":["ALSTOM GRID/CNAM, France","ALSTOM GRID / Cnam, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ALSTOM GRID/CNAM, France","institution_ids":["https://openalex.org/I36169673","https://openalex.org/I124158823"]},{"raw_affiliation_string":"ALSTOM GRID / Cnam, France","institution_ids":["https://openalex.org/I36169673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025025768","display_name":"Fran\u00e7oise Lamnabhi\u2010Lagarrigue","orcid":"https://orcid.org/0000-0003-2512-3587"},"institutions":[{"id":"https://openalex.org/I102475099","display_name":"Sup\u00e9lec","ror":"https://ror.org/00n7gwn90","country_code":"FR","type":"education","lineage":["https://openalex.org/I102475099"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francoise Lamnabhi-Lagarrigue","raw_affiliation_strings":["Laboratoire des Signaux et Systemes (LSS), France","Laboratoire des Signaux et Syst\u00e8mes (LSS), Sup\u00e9lec, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Systemes (LSS), France","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"Laboratoire des Signaux et Syst\u00e8mes (LSS), Sup\u00e9lec, 3 rue Joliot-Curie, 91192 Gif-sur-Yvette, France","institution_ids":["https://openalex.org/I102475099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4906,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.84301782,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3266","last_page":"3271"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9995999932289124,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9995999932289124,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9973999857902527,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9962000250816345,"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":0.8002260327339172},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47814786434173584},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4321565330028534},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37278255820274353},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.3127802610397339},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.25650885701179504},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.1945340633392334},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18638917803764343},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0850830078125}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8002260327339172},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47814786434173584},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4321565330028534},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37278255820274353},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.3127802610397339},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.25650885701179504},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.1945340633392334},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18638917803764343},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0850830078125}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2014.7039894","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7039894","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01172690v1","is_oa":false,"landing_page_url":"https://hal.science/hal-01172690","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"53rd IEEE Annual Conference on Decision and Control (CDC 2014), Dec 2014, Los Angeles, United States. pp.3266--3271, &#x27E8;10.1109/CDC.2014.7039894&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7240651115","display_name":null,"funder_award_id":"ANR-10","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W269896242","https://openalex.org/W1487077892","https://openalex.org/W1561303743","https://openalex.org/W1819717580","https://openalex.org/W1915509411","https://openalex.org/W1967457408","https://openalex.org/W2033672667","https://openalex.org/W2094903129","https://openalex.org/W2105449754","https://openalex.org/W2114963611","https://openalex.org/W2137200520","https://openalex.org/W2140532707","https://openalex.org/W2160019990","https://openalex.org/W2545646084","https://openalex.org/W6609879538","https://openalex.org/W6638517105"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2523432015","https://openalex.org/W2765340260","https://openalex.org/W2153130273","https://openalex.org/W2076823813","https://openalex.org/W1589163333","https://openalex.org/W2143080380","https://openalex.org/W3008686614","https://openalex.org/W2060924671","https://openalex.org/W3180072344"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,7,33,43,46,49,52,61,74,77,86,154,183],"problem":[4],"of":[5,10,38,45,76,150,156],"analyzing":[6],"dynamic":[8],"limitations":[9],"a":[11,100,120,123,144,161,173,177],"VSC":[12,47],"terminal":[13],"with":[14],"DC":[15,24,34,62],"voltage":[16,25,35,63],"droop":[17,26,78],"control.":[18],"Thanks":[19],"to":[20,31,152],"its":[21],"fast":[22,124],"response,":[23],"control":[27,79,92,158,184],"is":[28,98,165],"usually":[29],"used":[30],"adjust":[32],"in":[36,195],"case":[37],"power":[39],"imbalance.":[40],"To":[41,186],"ensure":[42],"stability":[44,163],"terminal,":[48],"dynamics":[50,125,151],"between":[51],"dq":[53],"currents":[54],"(i":[55],"<sub":[56,65,82,88,95,110,115,131,136],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[57,66,83,89,96,111,116,132,137],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">l,dq</sub>":[58,138],")":[59,68],"and":[60,85,113,122,134,176],"(u":[64],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">c</sub>":[67,133],"must":[69],"be":[70,127],"well":[71],"distinguished.":[72],"Therefore,":[73],"choice":[75],"gain":[80],"K":[81,94,109,114],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">u</sub>":[84,112],"d":[87],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[90],"current":[91],"gains":[93],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">dq</sub>":[97,117],"still":[99],"challenging":[101],"problem.":[102],"First,":[103],"we":[104,142],"assume":[105],"that":[106,119],"there":[107],"exist":[108],"such":[118],"slow":[121],"can":[126],"imposed":[128],"on":[129,148],"u":[130],"i":[135],",":[139],"respectively.":[140],"Then,":[141],"propose":[143],"novel":[145],"methodology":[146],"based":[147],"separation":[149],"prove":[153],"existence":[155],"these":[157],"gains.":[159,185],"Subsequently,":[160],"detailed":[162],"analysis":[164],"carried":[166,193],"out":[167,194],"via":[168],"Lyapunov":[169],"theory,":[170],"from":[171],"which":[172],"necessary":[174],"condition":[175,179],"sufficient":[178],"are":[180,192],"derived":[181],"for":[182],"verify":[187],"this":[188],"methodology,":[189],"numerical":[190],"simulations":[191],"MATLAB/SIMULINK.":[196]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
