{"id":"https://openalex.org/W4296794168","doi":"https://doi.org/10.3390/s22187078","title":"Stability Analysis of Two Power Converters Control Algorithms Connected to Micro-Grids with Wide Frequency Variation","display_name":"Stability Analysis of Two Power Converters Control Algorithms Connected to Micro-Grids with Wide Frequency Variation","publication_year":2022,"publication_date":"2022-09-19","ids":{"openalex":"https://openalex.org/W4296794168","doi":"https://doi.org/10.3390/s22187078","pmid":"https://pubmed.ncbi.nlm.nih.gov/36146425"},"language":"en","primary_location":{"id":"doi:10.3390/s22187078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22187078","pdf_url":"https://www.mdpi.com/1424-8220/22/18/7078/pdf?version=1663581040","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/22/18/7078/pdf?version=1663581040","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054956743","display_name":"Jaime Rohten","orcid":"https://orcid.org/0000-0002-1377-7244"},"institutions":[{"id":"https://openalex.org/I221450849","display_name":"University of B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38","country_code":"CL","type":"education","lineage":["https://openalex.org/I221450849"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"Jaime Rohten","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Universidad del B\u00edo-B\u00edo, Av. Collao 1202, Concepci\u00f3n 4051381, Chile"],"raw_orcid":"https://orcid.org/0000-0002-1377-7244","affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Universidad del B\u00edo-B\u00edo, Av. Collao 1202, Concepci\u00f3n 4051381, Chile","institution_ids":["https://openalex.org/I221450849"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076477923","display_name":"Felipe Villarroel","orcid":"https://orcid.org/0000-0003-4144-1315"},"institutions":[{"id":"https://openalex.org/I172787465","display_name":"University of Concepci\u00f3n","ror":"https://ror.org/0460jpj73","country_code":"CL","type":"education","lineage":["https://openalex.org/I172787465"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Felipe Villarroel","raw_affiliation_strings":["Department of Electrical Engineering, Universidad de Concepci\u00f3n, E. Larenas 219, Concepci\u00f3n 4089100, Chile"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidad de Concepci\u00f3n, E. Larenas 219, Concepci\u00f3n 4089100, Chile","institution_ids":["https://openalex.org/I172787465"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060755306","display_name":"Esteban S. Pulido","orcid":"https://orcid.org/0000-0003-2349-4632"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Esteban Pulido","raw_affiliation_strings":["Department of Electrical Engineering, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Avenida Espa\u00f1a 1680, Valpara\u00edso 2340000, Chile"],"raw_orcid":"https://orcid.org/0000-0003-2349-4632","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Avenida Espa\u00f1a 1680, Valpara\u00edso 2340000, Chile","institution_ids":["https://openalex.org/I75778554"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005573578","display_name":"Javier Mu\u00f1oz","orcid":"https://orcid.org/0000-0003-1508-5281"},"institutions":[{"id":"https://openalex.org/I134695357","display_name":"University of Talca","ror":"https://ror.org/01s4gpq44","country_code":"CL","type":"education","lineage":["https://openalex.org/I134695357"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Javier Mu\u00f1oz","raw_affiliation_strings":["Department of Electrical Engineering, Universidad de Talca, Camino Los Niches Km. 1, Curic\u00f3 3340000, Chile"],"raw_orcid":"https://orcid.org/0000-0003-1508-5281","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidad de Talca, Camino Los Niches Km. 1, Curic\u00f3 3340000, Chile","institution_ids":["https://openalex.org/I134695357"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015098110","display_name":"Jos\u00e9 Silva","orcid":"https://orcid.org/0000-0002-2242-6462"},"institutions":[{"id":"https://openalex.org/I4210154195","display_name":"Universidad de Los Lagos","ror":"https://ror.org/05jk8e518","country_code":"CL","type":"education","lineage":["https://openalex.org/I4210154195"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 Silva","raw_affiliation_strings":["Department of Engineering Science, Universidad de Los Lagos, km. 6, Camino A Chinquihue, Puerto Montt 5480000, Chile"],"raw_orcid":"https://orcid.org/0000-0002-2242-6462","affiliations":[{"raw_affiliation_string":"Department of Engineering Science, Universidad de Los Lagos, km. 6, Camino A Chinquihue, Puerto Montt 5480000, Chile","institution_ids":["https://openalex.org/I4210154195"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046484546","display_name":"Marcelo A. P\u00e9rez","orcid":"https://orcid.org/0000-0003-4166-448X"},"institutions":[{"id":"https://openalex.org/I75778554","display_name":"Federico Santa Mar\u00eda Technical University","ror":"https://ror.org/05510vn56","country_code":"CL","type":"education","lineage":["https://openalex.org/I75778554"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Marcelo Perez","raw_affiliation_strings":["Department of Electronic Engineering, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Avenida Espa\u00f1a 1680, Valpara\u00edso 2340000, Chile"],"raw_orcid":"https://orcid.org/0000-0003-4166-448X","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, Universidad T\u00e9cnica Federico Santa Mar\u00eda, Avenida Espa\u00f1a 1680, Valpara\u00edso 2340000, Chile","institution_ids":["https://openalex.org/I75778554"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5054956743"],"corresponding_institution_ids":["https://openalex.org/I221450849"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2598},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2598},"fwci":0.6064,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.66219274,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"22","issue":"18","first_page":"7078","last_page":"7078"},"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9977999925613403,"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":0.996999979019165,"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/converters","display_name":"Converters","score":0.78333979845047},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5771595239639282},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.5201514363288879},{"id":"https://openalex.org/keywords/variation","display_name":"Variation (astronomy)","score":0.5164101719856262},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48879358172416687},{"id":"https://openalex.org/keywords/automatic-frequency-control","display_name":"Automatic frequency control","score":0.4774482846260071},{"id":"https://openalex.org/keywords/power-analysis","display_name":"Power analysis","score":0.41050633788108826},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.4082590341567993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39884790778160095},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.39095965027809143},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.34193843603134155},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.333953857421875},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.30585625767707825},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.16636699438095093},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1432134509086609},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08353936672210693}],"concepts":[{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.78333979845047},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5771595239639282},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.5201514363288879},{"id":"https://openalex.org/C2778334786","wikidata":"https://www.wikidata.org/wiki/Q1586270","display_name":"Variation (astronomy)","level":2,"score":0.5164101719856262},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48879358172416687},{"id":"https://openalex.org/C25915539","wikidata":"https://www.wikidata.org/wiki/Q220786","display_name":"Automatic frequency control","level":2,"score":0.4774482846260071},{"id":"https://openalex.org/C71743495","wikidata":"https://www.wikidata.org/wiki/Q2845210","display_name":"Power analysis","level":3,"score":0.41050633788108826},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4082590341567993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39884790778160095},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.39095965027809143},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.34193843603134155},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.333953857421875},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.30585625767707825},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.16636699438095093},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1432134509086609},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08353936672210693},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s22187078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22187078","pdf_url":"https://www.mdpi.com/1424-8220/22/18/7078/pdf?version=1663581040","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:36146425","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36146425","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:c1d009e334f745919144f34d3cfa8c2b","is_oa":true,"landing_page_url":"https://doaj.org/article/c1d009e334f745919144f34d3cfa8c2b","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":"Sensors, Vol 22, Iss 18, p 7078 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/22/18/7078/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/s22187078","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors; Volume 22; Issue 18; Pages: 7078","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9503461","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9503461","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s22187078","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s22187078","pdf_url":"https://www.mdpi.com/1424-8220/22/18/7078/pdf?version=1663581040","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8100000023841858,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G4132027614","display_name":null,"funder_award_id":"2160180 GI/EF-UBB","funder_id":"https://openalex.org/F4320325372","funder_display_name":"Universidad del B\u00edo-B\u00edo"},{"id":"https://openalex.org/G5364479584","display_name":null,"funder_award_id":"ANID/FB0008","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G6147097680","display_name":null,"funder_award_id":"FB0008","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"},{"id":"https://openalex.org/G6818155571","display_name":"DISTRIBUTED MULTIFUNCTIONAL MICROINVERTERS TOPOLOGIES FOR PHOTOVOLTAIC ENERGY INJECTION TO THE POWER GRID","funder_award_id":"1191028","funder_id":"https://openalex.org/F4320331146","funder_display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo"}],"funders":[{"id":"https://openalex.org/F4320325372","display_name":"Universidad del B\u00edo-B\u00edo","ror":"https://ror.org/04dndfk38"},{"id":"https://openalex.org/F4320326517","display_name":"Universidad de Talca","ror":"https://ror.org/01s4gpq44"},{"id":"https://openalex.org/F4320331146","display_name":"Agencia Nacional de Investigaci\u00f3n y Desarrollo","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4296794168.pdf","grobid_xml":"https://content.openalex.org/works/W4296794168.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1966134687","https://openalex.org/W1974623743","https://openalex.org/W1995764633","https://openalex.org/W2018120463","https://openalex.org/W2033148588","https://openalex.org/W2060109101","https://openalex.org/W2123410861","https://openalex.org/W2138095489","https://openalex.org/W2143251643","https://openalex.org/W2313425885","https://openalex.org/W2344000707","https://openalex.org/W2515363549","https://openalex.org/W2604598289","https://openalex.org/W2746049237","https://openalex.org/W2800522761","https://openalex.org/W2889013834","https://openalex.org/W2894951932","https://openalex.org/W2897758704","https://openalex.org/W2910519626","https://openalex.org/W2965910479","https://openalex.org/W2968669480","https://openalex.org/W2971724028","https://openalex.org/W2972042605","https://openalex.org/W2981328432","https://openalex.org/W2982213864","https://openalex.org/W2985980544","https://openalex.org/W2987845108","https://openalex.org/W3011102868","https://openalex.org/W3014870729","https://openalex.org/W3035063468","https://openalex.org/W3036570797","https://openalex.org/W3037455835","https://openalex.org/W3096025669","https://openalex.org/W3108390917","https://openalex.org/W3109688150","https://openalex.org/W3112606993","https://openalex.org/W3131142661","https://openalex.org/W4205290469","https://openalex.org/W4220999514","https://openalex.org/W4282027584","https://openalex.org/W4285120743"],"related_works":["https://openalex.org/W2386430105","https://openalex.org/W2356521405","https://openalex.org/W631083485","https://openalex.org/W2038534795","https://openalex.org/W4313452936","https://openalex.org/W2097026685","https://openalex.org/W2384358604","https://openalex.org/W2615598724","https://openalex.org/W2480068220","https://openalex.org/W2358304601"],"abstract_inverted_index":{"Distributed":[0],"power":[1,76,103,180],"generation,":[2],"micro-grids,":[3],"and":[4,23,29,37,85,122,168,184,187,266],"networks":[5],"working":[6],"in":[7,13,35,102,142,193,240],"islanding":[8],"mode":[9],"have":[10,47],"strong":[11],"deviations":[12,17,26,41],"voltage":[14],"quantities.":[15],"These":[16],"can":[18,139,233,243],"be":[19,108,140,234,245],"divided":[20],"into":[21],"amplitude":[22],"frequency.":[24,175],"Amplitude":[25],"are":[27,33,78,166,190],"well-known":[28],"studied,":[30],"as":[31],"they":[32],"common":[34],"small":[36,96],"big":[38,81],"grids.":[39],"However,":[40],"on":[42,200],"the":[43,73,111,113,151,177,194,201,205,230,257,270],"ac":[44],"mains":[45],"frequency":[46,88,97,221,263],"not":[48,117,128,217],"been":[49,67],"widely":[50],"studied.":[51],"The":[52,207,237],"literature":[53],"shows":[54],"control":[55,152,158,249,258],"schemes":[56,159],"capable":[57],"of":[58,75,135,150,179],"bearing":[59],"these":[60],"variations,":[61],"but":[62],"no":[63],"systematic":[64],"analysis":[65,84,149],"has":[66],"performed":[68],"to":[69,107,110,204,247,254],"ensure":[70],"stability.":[71],"As":[72],"majority":[74],"converters":[77,104,181],"designed":[79],"for":[80,123,160,260],"grids,":[82],"their":[83],"design":[86],"neglect":[87],"disturbances,":[89],"therefore":[90],"those":[91],"devices":[92],"allow":[93],"a":[94,147,161,171,197,213,225,261],"very":[95],"operating":[98,231],"window.":[99],"For":[100],"instance,":[101],"that":[105,210],"need":[106],"synchronized":[109],"grid,":[112],"standard":[114],"deviation":[115],"does":[116,127,216],"go":[118,129],"beyond":[119,130],"0.5":[120],"Hz,":[121,132],"grid-tied":[124],"inverters":[125],"it":[126,252],"1":[131],"whereas":[133],"variations":[134],"around":[136],"8":[137],"Hz":[138],"expected":[141],"micro-grids.":[143],"This":[144],"work":[145],"presents":[146],"comprehensive":[148],"system's":[153],"stability,":[154],"where":[155],"two":[156],"different":[157],"back-to-back":[162],"static":[163,188,214],"converter":[164],"topology":[165],"implemented":[167],"studied":[169],"under":[170,220],"wide":[172],"variable":[173,262],"grid":[174],"Because":[176],"behavior":[178],"is":[182,228],"nonlinear":[183],"coupled,":[185],"dynamic":[186,226],"decouplers":[189],"usually":[191],"introduced":[192],"controller,":[195],"being":[196],"key":[198],"element":[199],"scheme":[202],"according":[203],"findings.":[206],"results":[208,268],"show":[209],"using":[211],"just":[212],"decoupler":[215,227],"guarantee":[218],"stability":[219],"variations;":[222],"meanwhile,":[223],"when":[224],"used,":[229],"window":[232],"greatly":[235],"extended.":[236],"procedure":[238],"shown":[239],"this":[241],"paper":[242],"also":[244],"extended":[246],"other":[248],"algorithms,":[250],"making":[251],"possible":[253],"carefully":[255],"choose":[256],"system":[259],"condition.":[264],"Simulated":[265],"experimental":[267],"confirm":[269],"theoretical":[271],"approach.":[272]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
