{"id":"https://openalex.org/W4388878538","doi":"https://doi.org/10.1109/tie.2023.3329189","title":"A Robust Phase-Locked Loop-Integrated Controller in Stationary Frame for Voltage Source Converters Connected to Weak and Unbalanced Grids","display_name":"A Robust Phase-Locked Loop-Integrated Controller in Stationary Frame for Voltage Source Converters Connected to Weak and Unbalanced Grids","publication_year":2023,"publication_date":"2023-11-21","ids":{"openalex":"https://openalex.org/W4388878538","doi":"https://doi.org/10.1109/tie.2023.3329189"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2023.3329189","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2023.3329189","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5068829389","display_name":"S. Milad Hoseinizadeh","orcid":"https://orcid.org/0000-0003-0895-7694"},"institutions":[{"id":"https://openalex.org/I4210154558","display_name":"Opal-Rt Technologies (Canada)","ror":"https://ror.org/05qnbjn88","country_code":"CA","type":"company","lineage":["https://openalex.org/I4210154558"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"S. Milad Hoseinizadeh","raw_affiliation_strings":["Opal-RT Technologies, Montreal, QC, Canada"],"raw_orcid":"https://orcid.org/0000-0003-0895-7694","affiliations":[{"raw_affiliation_string":"Opal-RT Technologies, Montreal, QC, Canada","institution_ids":["https://openalex.org/I4210154558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034853620","display_name":"Houshang Karimi","orcid":"https://orcid.org/0000-0003-4956-0925"},"institutions":[{"id":"https://openalex.org/I192455969","display_name":"York University","ror":"https://ror.org/05fq50484","country_code":"CA","type":"education","lineage":["https://openalex.org/I192455969"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Houshang Karimi","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, York University, Toronto, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0003-4956-0925","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, York University, Toronto, ON, Canada","institution_ids":["https://openalex.org/I192455969"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045651219","display_name":"Masoud Karimi-Ghartemani","orcid":"https://orcid.org/0000-0002-8112-8166"},"institutions":[{"id":"https://openalex.org/I99041443","display_name":"Mississippi State University","ror":"https://ror.org/0432jq872","country_code":"US","type":"education","lineage":["https://openalex.org/I4210141039","https://openalex.org/I99041443"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Masoud Karimi-Ghartemani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Mississippi State University, Mississippi, MS, USA"],"raw_orcid":"https://orcid.org/0000-0002-8112-8166","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Mississippi State University, Mississippi, MS, USA","institution_ids":["https://openalex.org/I99041443"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6884,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70904148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"71","issue":"9","first_page":"10647","last_page":"10657"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9939000010490417,"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/T10175","display_name":"Advanced DC-DC Converters","score":0.9914000034332275,"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/control-theory","display_name":"Control theory (sociology)","score":0.8184211254119873},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.6307792663574219},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.6140629649162292},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.6138599514961243},{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.6060426831245422},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.5687875151634216},{"id":"https://openalex.org/keywords/voltage-controller","display_name":"Voltage controller","score":0.48025965690612793},{"id":"https://openalex.org/keywords/three-phase","display_name":"Three-phase","score":0.44729429483413696},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4418545663356781},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4383704960346222},{"id":"https://openalex.org/keywords/open-loop-controller","display_name":"Open-loop controller","score":0.4291917383670807},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.36619967222213745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36371976137161255},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3488617539405823},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.2810794413089752},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.2014082968235016},{"id":"https://openalex.org/keywords/voltage-droop","display_name":"Voltage droop","score":0.09935969114303589},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07081335783004761},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06586012244224548}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8184211254119873},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.6307792663574219},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.6140629649162292},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.6138599514961243},{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.6060426831245422},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.5687875151634216},{"id":"https://openalex.org/C156120966","wikidata":"https://www.wikidata.org/wiki/Q7940742","display_name":"Voltage controller","level":5,"score":0.48025965690612793},{"id":"https://openalex.org/C173871940","wikidata":"https://www.wikidata.org/wiki/Q471846","display_name":"Three-phase","level":3,"score":0.44729429483413696},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4418545663356781},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4383704960346222},{"id":"https://openalex.org/C161362739","wikidata":"https://www.wikidata.org/wiki/Q2301555","display_name":"Open-loop controller","level":3,"score":0.4291917383670807},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.36619967222213745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36371976137161255},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3488617539405823},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.2810794413089752},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.2014082968235016},{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.09935969114303589},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07081335783004761},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06586012244224548},{"id":"https://openalex.org/C3019251811","wikidata":"https://www.wikidata.org/wiki/Q5135346","display_name":"Closed loop","level":2,"score":0.0},{"id":"https://openalex.org/C134652429","wikidata":"https://www.wikidata.org/wiki/Q1052698","display_name":"Jitter","level":2,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2023.3329189","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2023.3329189","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8600000143051147,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G8335824004","display_name":null,"funder_award_id":"RGPIN-2015-05091","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W2042827877","https://openalex.org/W2096419500","https://openalex.org/W2122605594","https://openalex.org/W2144824707","https://openalex.org/W2280707463","https://openalex.org/W2317838635","https://openalex.org/W2319490868","https://openalex.org/W2330294603","https://openalex.org/W2543627317","https://openalex.org/W2757449142","https://openalex.org/W2790684698","https://openalex.org/W2891005598","https://openalex.org/W2902883770","https://openalex.org/W2911260642","https://openalex.org/W2912101659","https://openalex.org/W2920299241","https://openalex.org/W2965441408","https://openalex.org/W2967178708","https://openalex.org/W2972772146","https://openalex.org/W2978077316","https://openalex.org/W3042568088","https://openalex.org/W3096356875","https://openalex.org/W3163616733","https://openalex.org/W3167550774","https://openalex.org/W3196266562","https://openalex.org/W3213578137","https://openalex.org/W4211054026","https://openalex.org/W4225664253","https://openalex.org/W4226176306","https://openalex.org/W4283639596","https://openalex.org/W7030346934"],"related_works":["https://openalex.org/W2380997552","https://openalex.org/W2103280697","https://openalex.org/W2348312876","https://openalex.org/W4310814254","https://openalex.org/W3106592559","https://openalex.org/W1526083290","https://openalex.org/W4200360381","https://openalex.org/W2178713162","https://openalex.org/W4237098834","https://openalex.org/W2898402634"],"abstract_inverted_index":{"This":[0],"article":[1,119],"presents":[2],"a":[3,25,87,134],"controller":[4,23,36,52],"in":[5,65,99],"stationary":[6],"frame":[7],"for":[8],"enhanced":[9,161],"performance":[10,75,162],"of":[11,30,56,86,112,163],"voltage":[12,43,59,70,130],"source":[13],"converters":[14],"(VSCs)":[15],"under":[16,69,78,89,143],"weak":[17,79,144],"and":[18,76,141,152],"unbalanced":[19,90],"grid":[20,80,91,145],"conditions.":[21,81],"The":[22,51],"incorporates":[24],"nested":[26],"multiloop":[27],"structure":[28],"consisting":[29],"an":[31,40,121],"inner":[32],"phase-locked":[33],"loop-integrated":[34],"current":[35],"as":[37,39,60,62],"well":[38,61],"outer":[41],"dc-link":[42,58,84,114],"control":[44,49,115,137],"loop":[45],"based":[46],"on":[47],"integral-resonant":[48],"mechanism.":[50],"neutralizes":[53],"double-frequency":[54],"oscillations":[55],"the":[57,66,83,100,113,160,164],"third-order":[63],"harmonics":[64],"output":[67],"currents":[68],"imbalance":[71],"while":[72],"improving":[73],"system":[74,139],"stability":[77,142],"First,":[82],"dynamics":[85],"VSC":[88],"conditions":[92,146],"are":[93,105,147,155],"revisited.":[94],"It":[95],"is":[96],"shown":[97],"that":[98],"power":[101],"balance":[102],"equation,":[103],"there":[104],"nonlinear":[106],"coupling":[107],"terms":[108,126],"between":[109],"different":[110],"mechanisms":[111],"loop.":[116],"Second,":[117],"this":[118],"proposes":[120],"approach":[122],"to":[123,158],"surpass":[124],"these":[125],"by":[127],"separating":[128],"dc":[129],"dynamics.":[131],"Finally,":[132],"using":[133],"robust":[135],"multivariable":[136],"approach,":[138],"performance,":[140],"significantly":[148],"improved.":[149],"Software":[150],"simulations":[151],"hardware-in-the-loop":[153],"tests":[154],"carried":[156],"out":[157],"validate":[159],"proposed":[165],"controller.":[166]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
