{"id":"https://openalex.org/W2121064293","doi":"https://doi.org/10.1109/tie.2014.2381151","title":"Model Order Reductions for Stability Analysis of Islanded Microgrids With Droop Control","display_name":"Model Order Reductions for Stability Analysis of Islanded Microgrids With Droop Control","publication_year":2015,"publication_date":"2015-01-06","ids":{"openalex":"https://openalex.org/W2121064293","doi":"https://doi.org/10.1109/tie.2014.2381151","mag":"2121064293"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2014.2381151","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2014.2381151","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/ws/files/236153231/ALL_014_TIE_1176.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040270116","display_name":"Valerio Mariani","orcid":"https://orcid.org/0000-0003-2284-3802"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Valerio Mariani","raw_affiliation_strings":["Department of Engineering, University of Sannio, Benevento, Italy","Department of Engineering, University of Sannio, Benevento-Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]},{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento-Italy","institution_ids":["https://openalex.org/I16337185"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082366820","display_name":"Francesco Vasca","orcid":"https://orcid.org/0000-0002-0960-8683"},"institutions":[{"id":"https://openalex.org/I16337185","display_name":"University of Sannio","ror":"https://ror.org/04vc81p87","country_code":"IT","type":"education","lineage":["https://openalex.org/I16337185"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Vasca","raw_affiliation_strings":["Department of Engineering, University of Sannio, Benevento, Italy","Department of Engineering, University of Sannio, Benevento-Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento, Italy","institution_ids":["https://openalex.org/I16337185"]},{"raw_affiliation_string":"Department of Engineering, University of Sannio, Benevento-Italy","institution_ids":["https://openalex.org/I16337185"]}]},{"author_position":"middle","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":false,"raw_author_name":"Juan C. Vasquez","raw_affiliation_strings":["Department of Energy Technology, Faculty of Engineering and Science, Aalborg University, Aalborg, Denmark","[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]"],"affiliations":[{"raw_affiliation_string":"Department of Energy Technology, Faculty of Engineering and Science, Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","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":["Department of Energy Technology, Faculty of Engineering and Science, Aalborg University, Aalborg, Denmark","[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]"],"affiliations":[{"raw_affiliation_string":"Department of Energy Technology, Faculty of Engineering and Science, Aalborg University, Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]},{"raw_affiliation_string":"[\u2020Department of Energy Technology, Aalborg University, Aalborg, Denmark]","institution_ids":["https://openalex.org/I891191580"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040270116"],"corresponding_institution_ids":["https://openalex.org/I16337185"],"apc_list":null,"apc_paid":null,"fwci":14.9752,"has_fulltext":true,"cited_by_count":160,"citation_normalized_percentile":{"value":0.99163384,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"62","issue":"7","first_page":"4344","last_page":"4354"},"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9948999881744385,"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9941999912261963,"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":0.8999856114387512},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.691656231880188},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5888789892196655},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4535275101661682},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4368169903755188},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4086233377456665},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.3687572479248047},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.31370633840560913},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.22828838229179382},{"id":"https://openalex.org/keywords/voltage-regulator","display_name":"Voltage regulator","score":0.17570501565933228},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.12165802717208862},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09227204322814941}],"concepts":[{"id":"https://openalex.org/C40760162","wikidata":"https://www.wikidata.org/wiki/Q10920295","display_name":"Voltage droop","level":4,"score":0.8999856114387512},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.691656231880188},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5888789892196655},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4535275101661682},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4368169903755188},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4086233377456665},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.3687572479248047},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.31370633840560913},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.22828838229179382},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.17570501565933228},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.12165802717208862},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09227204322814941},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tie.2014.2381151","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2014.2381151","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/09b86069-5923-4845-81a5-c5add7509afb","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/09b86069-5923-4845-81a5-c5add7509afb","pdf_url":"https://vbn.aau.dk/ws/files/236153231/ALL_014_TIE_1176.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":"Mariani, V, Vasca, F, V\u00e1squez, J C & Guerrero, J M 2015, 'Model Order Reductions for Stability Analysis of Islanded Microgrids With Droop Control', I E E E Transactions on Industrial Electronics, vol. 62, no. 7, 6985720, pp. 4344-4354. https://doi.org/10.1109/TIE.2014.2381151","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/09b86069-5923-4845-81a5-c5add7509afb","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/09b86069-5923-4845-81a5-c5add7509afb","pdf_url":"https://vbn.aau.dk/ws/files/236153231/ALL_014_TIE_1176.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":"Mariani, V, Vasca, F, V\u00e1squez, J C & Guerrero, J M 2015, 'Model Order Reductions for Stability Analysis of Islanded Microgrids With Droop Control', I E E E Transactions on Industrial Electronics, vol. 62, no. 7, 6985720, pp. 4344-4354. https://doi.org/10.1109/TIE.2014.2381151","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8799999952316284,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2121064293.pdf","grobid_xml":"https://content.openalex.org/works/W2121064293.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1504052325","https://openalex.org/W1524500002","https://openalex.org/W1919353004","https://openalex.org/W1966322913","https://openalex.org/W1976553699","https://openalex.org/W1990833963","https://openalex.org/W2004080978","https://openalex.org/W2014366918","https://openalex.org/W2019407774","https://openalex.org/W2073703226","https://openalex.org/W2086213888","https://openalex.org/W2087939098","https://openalex.org/W2095269253","https://openalex.org/W2096928643","https://openalex.org/W2103319213","https://openalex.org/W2105055913","https://openalex.org/W2105168168","https://openalex.org/W2105806216","https://openalex.org/W2105840500","https://openalex.org/W2110283274","https://openalex.org/W2116000673","https://openalex.org/W2123597940","https://openalex.org/W2124332712","https://openalex.org/W2124708943","https://openalex.org/W2124928374","https://openalex.org/W2125106534","https://openalex.org/W2125328931","https://openalex.org/W2149179350","https://openalex.org/W2149654885","https://openalex.org/W2151903076","https://openalex.org/W2155638758","https://openalex.org/W2162156389","https://openalex.org/W2162535598","https://openalex.org/W2167266213","https://openalex.org/W2168753575","https://openalex.org/W2184705291","https://openalex.org/W6631426525"],"related_works":["https://openalex.org/W2523432015","https://openalex.org/W2765340260","https://openalex.org/W2153130273","https://openalex.org/W3023710910","https://openalex.org/W2076823813","https://openalex.org/W3008686614","https://openalex.org/W2143080380","https://openalex.org/W1589163333","https://openalex.org/W2060924671","https://openalex.org/W3108314050"],"abstract_inverted_index":{"Three-phase":[0],"inverters":[1,41],"subject":[2],"to":[3,12,17,21,62,79,130,139],"droop":[4,46,114],"control":[5,47,115],"are":[6],"widely":[7],"used":[8,78],"in":[9,67],"islanded":[10,35],"microgrids":[11,36],"interface":[13],"distributed":[14],"energy":[15],"resources":[16],"a":[18,31,56,122,131],"network":[19],"and":[20,40,44,149],"properly":[22],"share":[23],"loads":[24,39],"among":[25],"different":[26],"units.":[27],"In":[28],"this":[29],"paper,":[30],"mathematical":[32],"model":[33,51,66,127,134],"for":[34,108],"with":[37],"linear":[38],"under":[42],"frequency":[43,113],"voltage":[45],"is":[48,52,77,118,136],"proposed.":[49],"The":[50,94],"constructed":[53],"by":[54],"introducing":[55],"suitable":[57],"state-space":[58,70],"transformation":[59],"that":[60,84,97,121,135],"allows":[61],"write":[63],"the":[64,73,86,90,98,102,105,112,126,141,145,153,156],"closed-loop":[65,92],"an":[68],"explicit":[69],"form.":[71],"Then,":[72],"singular":[74],"perturbations":[75],"technique":[76],"obtain":[80],"reduced":[81],"order":[82,128],"models":[83],"reproduce":[85],"stability":[87,103],"properties":[88],"of":[89,104,111,125,144,155],"original":[91],"model.":[93],"analysis":[95],"shows":[96],"currents'":[99],"dynamics":[100],"influence":[101],"microgrid,":[106],"particularly":[107],"high":[109],"values":[110],"parameters.":[116],"It":[117],"also":[119],"shown":[120],"further":[123],"reduction":[124],"leads":[129],"typical":[132],"oscillator":[133],"not":[137],"able":[138],"predict":[140],"possible":[142],"instability":[143],"droop-controlled":[146],"system.":[147],"Numerical":[148],"experimental":[150],"results":[151],"demonstrate":[152],"validity":[154],"proposed":[157],"models.":[158]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":28},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":3}],"updated_date":"2026-03-29T08:15:47.926485","created_date":"2025-10-10T00:00:00"}