{"id":"https://openalex.org/W7133722335","doi":"https://doi.org/10.1109/access.2026.3671085","title":"Application of Model Order Reduction in Evaluation of Small-Signal Stability of Power Systems With Virtual Power Plants","display_name":"Application of Model Order Reduction in Evaluation of Small-Signal Stability of Power Systems With Virtual Power Plants","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7133722335","doi":"https://doi.org/10.1109/access.2026.3671085"},"language":"en","primary_location":{"id":"doi:10.1109/access.2026.3671085","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3671085","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2026.3671085","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093818633","display_name":"Marco Vinicio Avenda\u00f1o-Caiza","orcid":null},"institutions":[{"id":"https://openalex.org/I4210085895","display_name":"IMDEA Energy Institute","ror":"https://ror.org/002tzev63","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I4210085895"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Marco Vinicio Avenda\u00f1o-Caiza","raw_affiliation_strings":["IMDEA Energy Institute, Móstoles, Madrid, Spain"],"raw_orcid":"https://orcid.org/0009-0004-5539-3451","affiliations":[{"raw_affiliation_string":"IMDEA Energy Institute, Móstoles, Madrid, Spain","institution_ids":["https://openalex.org/I4210085895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128177140","display_name":"Javier Roldan-Perez","orcid":null},"institutions":[{"id":"https://openalex.org/I4210085895","display_name":"IMDEA Energy Institute","ror":"https://ror.org/002tzev63","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I4210085895"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Javier Rold\u00e1n-P\u00e9rez","raw_affiliation_strings":["IMDEA Energy Institute, Móstoles, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-9759-4006","affiliations":[{"raw_affiliation_string":"IMDEA Energy Institute, Móstoles, Madrid, Spain","institution_ids":["https://openalex.org/I4210085895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003888764","display_name":"Njegos Jankovic","orcid":"https://orcid.org/0000-0003-3358-069X"},"institutions":[{"id":"https://openalex.org/I179525631","display_name":"Cerner (United States)","ror":"https://ror.org/012c7gx93","country_code":"US","type":"company","lineage":["https://openalex.org/I179525631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Njegos Jankovic","raw_affiliation_strings":["Control Engineering Department, Mjølner Informatics, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0003-3358-069X","affiliations":[{"raw_affiliation_string":"Control Engineering Department, Mjølner Informatics, Madrid, Spain","institution_ids":["https://openalex.org/I179525631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5128178096","display_name":"J. L. Rodriguez-Amenedo","orcid":null},"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":"Jos\u00e9 Luis Rodr\u00edguez-Amenedo","raw_affiliation_strings":["Universidad Carlos III de Madrid, Leganés, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0585-4596","affiliations":[{"raw_affiliation_string":"Universidad Carlos III de Madrid, Leganés, Madrid, Spain","institution_ids":["https://openalex.org/I50357001"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107293914","display_name":"Juan Diego Rios-Pe\u00f1aloza","orcid":null},"institutions":[{"id":"https://openalex.org/I4210085895","display_name":"IMDEA Energy Institute","ror":"https://ror.org/002tzev63","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I4210085895"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Juan Diego Rios-Pe\u00f1aloza","raw_affiliation_strings":["IMDEA Energy Institute, Móstoles, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0001-6743-0839","affiliations":[{"raw_affiliation_string":"IMDEA Energy Institute, Móstoles, Madrid, Spain","institution_ids":["https://openalex.org/I4210085895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055836013","display_name":"Milan Prodanovi\u0107","orcid":"https://orcid.org/0000-0001-5500-9799"},"institutions":[{"id":"https://openalex.org/I4210085895","display_name":"IMDEA Energy Institute","ror":"https://ror.org/002tzev63","country_code":"ES","type":"facility","lineage":["https://openalex.org/I105140100","https://openalex.org/I4210085895"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Milan Prodanovi\u0107","raw_affiliation_strings":["IMDEA Energy Institute, Móstoles, Madrid, Spain"],"raw_orcid":"https://orcid.org/0000-0001-5500-9799","affiliations":[{"raw_affiliation_string":"IMDEA Energy Institute, Móstoles, Madrid, Spain","institution_ids":["https://openalex.org/I4210085895"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5093818633"],"corresponding_institution_ids":["https://openalex.org/I4210085895"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":16.606,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.98197122,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"14","issue":null,"first_page":"44277","last_page":"44292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.46369999647140503,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.46369999647140503,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.20960000157356262,"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/T12810","display_name":"Real-time simulation and control systems","score":0.037700001150369644,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6628000140190125},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.6424000263214111},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5799999833106995},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5149000287055969},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4713999927043915},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.4169999957084656},{"id":"https://openalex.org/keywords/power-system-simulation","display_name":"Power system simulation","score":0.3237999975681305},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.319599986076355}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6628000140190125},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.6424000263214111},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6309999823570251},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5799999833106995},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5149000287055969},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4713999927043915},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.4318000078201294},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.4169999957084656},{"id":"https://openalex.org/C116219307","wikidata":"https://www.wikidata.org/wiki/Q7236625","display_name":"Power system simulation","level":4,"score":0.3237999975681305},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.319599986076355},{"id":"https://openalex.org/C181361822","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power-flow study","level":4,"score":0.2948000133037567},{"id":"https://openalex.org/C423512","wikidata":"https://www.wikidata.org/wiki/Q383973","display_name":"Electricity generation","level":3,"score":0.2930999994277954},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.29019999504089355},{"id":"https://openalex.org/C2776033628","wikidata":"https://www.wikidata.org/wiki/Q785102","display_name":"Virtual power plant","level":4,"score":0.2793999910354614},{"id":"https://openalex.org/C2985592304","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Power system harmonics","level":4,"score":0.26159998774528503},{"id":"https://openalex.org/C171146098","wikidata":"https://www.wikidata.org/wiki/Q124192","display_name":"Automotive engineering","level":1,"score":0.2605000138282776},{"id":"https://openalex.org/C56685638","wikidata":"https://www.wikidata.org/wiki/Q2300474","display_name":"Power control","level":3,"score":0.25619998574256897},{"id":"https://openalex.org/C2989149083","wikidata":"https://www.wikidata.org/wiki/Q7935121","display_name":"Virtual instrument","level":3,"score":0.2533999979496002},{"id":"https://openalex.org/C108882727","wikidata":"https://www.wikidata.org/wiki/Q2991685","display_name":"Solid modeling","level":2,"score":0.25119999051094055}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2026.3671085","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3671085","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:935597e8caba4b53bf133f7af44e85f5","is_oa":true,"landing_page_url":"https://doaj.org/article/935597e8caba4b53bf133f7af44e85f5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 14, Pp 44277-44292 (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2026.3671085","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3671085","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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 Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.8406959772109985,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1807267518","display_name":null,"funder_award_id":"PID2022-142416OB-I0","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G7731522311","display_name":null,"funder_award_id":"TEC-2024/ECO-287","funder_id":"https://openalex.org/F4320313831","funder_display_name":"Comunidad de Madrid"}],"funders":[{"id":"https://openalex.org/F4320313831","display_name":"Comunidad de Madrid","ror":null},{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Virtual":[0],"Power":[1],"Plants":[2],"(VPPs)":[3],"represent":[4],"an":[5],"aggregation":[6],"of":[7,15,34,40,47,53,57,74,80,97],"distributed":[8],"generators":[9],"and":[10,103,118,132,155],"loads":[11],"that":[12,87,143,156,167],"are":[13,90,108,123,182],"capable":[14],"following":[16],"power":[17,129],"references":[18],"sent":[19],"by":[20,110],"grid":[21,27],"operators.":[22],"To":[23],"guarantee":[24],"system":[25,130,153],"stability,":[26],"operators":[28],"need":[29],"to":[30,125,161,192],"verify":[31],"the":[32,37,55,72,77,95,106,126,136,152,162,168,185,194],"impact":[33,134,150],"VPPs":[35,48,75,89,122,146],"on":[36,76,135,151],"small-signal":[38,78,137],"stability":[39,67,79,138],"electrical":[41,81],"transmission":[42,82],"systems.":[43],"Since":[44],"dynamic":[45,170],"models":[46,107],"have":[49,147],"a":[50,148],"large":[51],"number":[52],"states,":[54],"application":[56],"model":[58,131],"order":[59],"reduction":[60],"(MOR)":[61],"techniques":[62],"should":[63],"be":[64,173],"considered":[65],"for":[66,184],"analyses.":[68],"In":[69],"this":[70],"paper,":[71],"influence":[73],"systems":[83],"is":[84,165,190],"evaluated.":[85],"For":[86],"purpose,":[88],"modelled":[91],"in":[92],"detail,":[93],"including":[94],"dynamics":[96],"renewable":[98,144],"sources":[99],"such":[100],"as":[101],"wind":[102],"solar.":[104],"Then,":[105],"reduced":[109,177],"using":[111,175],"two":[112],"MOR":[113],"techniques,":[114],"namely":[115],"state":[116],"relevance":[117],"balanced":[119],"truncation.":[120],"The":[121,140],"connected":[124],"benchmark":[127],"two-area":[128],"their":[133],"assessed.":[139],"results":[141],"show":[142],"energy-based":[145],"significant":[149],"eigenvalues":[154],"they":[157],"provide":[158],"additional":[159],"damping":[160],"system.":[163],"It":[164],"shown":[166],"low-frequency":[169],"properties":[171],"can":[172],"preserved":[174],"low-order":[176],"models,":[178],"while":[179],"higher-order":[180],"ones":[181],"needed":[183],"medium-frequency":[186],"dynamics.":[187],"Eigenvalue":[188],"analysis":[189],"used":[191],"validate":[193],"theoretical":[195],"developments.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-05-22T09:01:20.584952","created_date":"2026-03-06T00:00:00"}