{"id":"https://openalex.org/W2170063465","doi":"https://doi.org/10.1109/tie.2012.2194951","title":"Modeling, Analysis, and Design of Stationary-Reference-Frame Droop-Controlled Parallel Three-Phase Voltage Source Inverters","display_name":"Modeling, Analysis, and Design of Stationary-Reference-Frame Droop-Controlled Parallel Three-Phase Voltage Source Inverters","publication_year":2012,"publication_date":"2012-04-16","ids":{"openalex":"https://openalex.org/W2170063465","doi":"https://doi.org/10.1109/tie.2012.2194951","mag":"2170063465"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2012.2194951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2012.2194951","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":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/files/62663642/PREPRINT_modeling_analysis_and_design_of_stationary_reference.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044175190","display_name":"Juan C. V\u00e1squez","orcid":"https://orcid.org/0000-0001-6332-385X"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Juan C. Vasquez","raw_affiliation_strings":["Institute of Energy Technology, University of Aalborg, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Institute of Energy Technology, University of Aalborg, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072189850","display_name":"Josep M. Guerrero","orcid":null},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Josep M. Guerrero","raw_affiliation_strings":["Institute of Energy Technology, University of Aalborg, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Institute of Energy Technology, University of Aalborg, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004326031","display_name":"Mehdi Savaghebi","orcid":"https://orcid.org/0000-0001-6188-0265"},"institutions":[{"id":"https://openalex.org/I67009956","display_name":"Iran University of Science and Technology","ror":"https://ror.org/01jw2p796","country_code":"IR","type":"education","lineage":["https://openalex.org/I67009956"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Savaghebi","raw_affiliation_strings":["Electrical Engineering Department and the Center of Excellence for Power System Automation and Operation, Iran University of Science and Technology, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department and the Center of Excellence for Power System Automation and Operation, Iran University of Science and Technology, Tehran, Iran","institution_ids":["https://openalex.org/I67009956"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079442064","display_name":"Joaquin Eloy\u2010Garc\u00eda","orcid":"https://orcid.org/0000-0003-3469-9465"},"institutions":[{"id":"https://openalex.org/I50357001","display_name":"Universidad Carlos III de Madrid","ror":"https://ror.org/03ths8210","country_code":"ES","type":"education","lineage":["https://openalex.org/I50357001"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Joaquin Eloy-Garcia","raw_affiliation_strings":["Department of Electrical Engineering, Universidad Carlos III de Madrid, Leganes, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidad Carlos III de Madrid, Leganes, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019644280","display_name":"Remus Teodorescu","orcid":"https://orcid.org/0000-0002-2617-7168"},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Remus Teodorescu","raw_affiliation_strings":["Institute of Energy Technology, University of Aalborg, Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Institute of Energy Technology, University of Aalborg, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5044175190"],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":null,"apc_paid":null,"fwci":77.2721,"has_fulltext":true,"cited_by_count":656,"citation_normalized_percentile":{"value":0.99967259,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"60","issue":"4","first_page":"1271","last_page":"1280"},"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/T10228","display_name":"Multilevel Inverters and Converters","score":0.9991999864578247,"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":0.9959999918937683,"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":0.8993552327156067},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.5757725238800049},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.5447800755500793},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.47541290521621704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46838003396987915},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4315029978752136},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.391815185546875},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.31942588090896606},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2546038329601288},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14797177910804749},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11150035262107849}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8993552327156067},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.5757725238800049},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.5447800755500793},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.47541290521621704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46838003396987915},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4315029978752136},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.391815185546875},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.31942588090896606},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2546038329601288},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14797177910804749},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11150035262107849},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tie.2012.2194951","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2012.2194951","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"},{"id":"pmh:oai:pure.atira.dk:publications/c617dccc-4bbe-48c1-b8cf-7b3eac2b6bd9","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c617dccc-4bbe-48c1-b8cf-7b3eac2b6bd9","pdf_url":"https://vbn.aau.dk/files/62663642/PREPRINT_modeling_analysis_and_design_of_stationary_reference.pdf","source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Vasquez, J C, Guerrero, J M, Savaghebi, M, Eloy-Garcia, J & Teodorescu, R 2013, 'Modeling, analysis, and design of stationary reference frame droop controlled parallel three-phase voltage source inverters', I E E E Transactions on Industrial Electronics, vol. 60, no. 4, pp. 1271-1280. https://doi.org/10.1109/TIE.2012.2194951","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/c617dccc-4bbe-48c1-b8cf-7b3eac2b6bd9","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/c617dccc-4bbe-48c1-b8cf-7b3eac2b6bd9","pdf_url":"https://vbn.aau.dk/files/62663642/PREPRINT_modeling_analysis_and_design_of_stationary_reference.pdf","source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Vasquez, J C, Guerrero, J M, Savaghebi, M, Eloy-Garcia, J & Teodorescu, R 2013, 'Modeling, analysis, and design of stationary reference frame droop controlled parallel three-phase voltage source inverters', I E E E Transactions on Industrial Electronics, vol. 60, no. 4, pp. 1271-1280. https://doi.org/10.1109/TIE.2012.2194951","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"score":0.7699999809265137,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2170063465.pdf","grobid_xml":"https://content.openalex.org/works/W2170063465.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1504052325","https://openalex.org/W1594676085","https://openalex.org/W1967386882","https://openalex.org/W1993600420","https://openalex.org/W2071689632","https://openalex.org/W2076106967","https://openalex.org/W2092625437","https://openalex.org/W2096786180","https://openalex.org/W2107843419","https://openalex.org/W2108922822","https://openalex.org/W2111919291","https://openalex.org/W2112216845","https://openalex.org/W2115355161","https://openalex.org/W2123322784","https://openalex.org/W2124836123","https://openalex.org/W2130055347","https://openalex.org/W2135379734","https://openalex.org/W2138955534","https://openalex.org/W2149654885","https://openalex.org/W2151903076","https://openalex.org/W2160411150","https://openalex.org/W2162156389","https://openalex.org/W2337023503","https://openalex.org/W3144092144","https://openalex.org/W6648955042","https://openalex.org/W6703373334"],"related_works":["https://openalex.org/W2523432015","https://openalex.org/W2765340260","https://openalex.org/W2153130273","https://openalex.org/W3023710910","https://openalex.org/W2269166041","https://openalex.org/W2409882009","https://openalex.org/W2977399316","https://openalex.org/W2805471441","https://openalex.org/W3024702869","https://openalex.org/W4206032353"],"abstract_inverted_index":{"Power-electronics-based":[0],"microgrids":[1],"(MGs)":[2],"consist":[3],"of":[4,7,25,43,126],"a":[5,102],"number":[6],"voltage":[8,33],"source":[9],"inverters":[10],"(VSIs)":[11],"operating":[12],"in":[13,79,107],"parallel.":[14],"In":[15],"this":[16],"paper,":[17],"the":[18,40,44,49,58,71,75,91,98,111,114,122,127],"modeling,":[19],"control":[20,37,55,69,89,131],"design,":[21],"and":[22,34,39,74,84,93,124],"stability":[23],"analysis":[24],"parallel-connected":[26],"three-phase":[27],"VSIs":[28,45],"are":[29,46,118],"derived.":[30],"The":[31,67,87],"proposed":[32],"current":[35],"inner":[36],"loops":[38],"mathematical":[41],"models":[42],"based":[47],"on":[48],"stationary":[50],"reference":[51],"frame.":[52],"A":[53],"hierarchical":[54],"scheme":[56],"for":[57],"paralleled":[59],"VSI":[60,129],"system":[61,130],"is":[62,105],"developed":[63],"comprising":[64],"two":[65],"levels.":[66],"primary":[68,99],"includes":[70],"droop":[72],"method":[73],"virtual":[76],"impedance":[77],"loops,":[78],"order":[80,108],"to":[81,109,113,120],"share":[82],"active":[83],"reactive":[85],"powers.":[86],"secondary":[88],"restores":[90],"frequency":[92],"amplitude":[94],"deviations":[95],"produced":[96],"by":[97],"control.":[100],"Also,":[101],"synchronization":[103],"algorithm":[104],"presented":[106],"connect":[110],"MG":[112],"grid.":[115],"Experimental":[116],"results":[117],"provided":[119],"validate":[121],"performance":[123],"robustness":[125],"parallel":[128],"architecture.":[132]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":18},{"year":2024,"cited_by_count":32},{"year":2023,"cited_by_count":37},{"year":2022,"cited_by_count":41},{"year":2021,"cited_by_count":55},{"year":2020,"cited_by_count":58},{"year":2019,"cited_by_count":68},{"year":2018,"cited_by_count":55},{"year":2017,"cited_by_count":71},{"year":2016,"cited_by_count":82},{"year":2015,"cited_by_count":60},{"year":2014,"cited_by_count":46},{"year":2013,"cited_by_count":24},{"year":2012,"cited_by_count":6}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
