{"id":"https://openalex.org/W3040327858","doi":"https://doi.org/10.1109/access.2020.3006875","title":"A General Mathematical Model for LVRT Capability Assessment of DER-Penetrated Distribution Networks","display_name":"A General Mathematical Model for LVRT Capability Assessment of DER-Penetrated Distribution Networks","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3040327858","doi":"https://doi.org/10.1109/access.2020.3006875","mag":"3040327858"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3006875","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3006875","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09133067.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","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://ieeexplore.ieee.org/ielx7/6287639/8948470/09133067.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027856995","display_name":"Pouya Salyani","orcid":null},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Pouya Salyani","raw_affiliation_strings":["Electrical Engineering Department, University of Tabriz, Tabriz, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016797146","display_name":"Kazem Zare","orcid":"https://orcid.org/0000-0003-4729-1741"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Kazem Zare","raw_affiliation_strings":["Electrical Engineering Department, University of Tabriz, Tabriz, Iran"],"raw_orcid":"https://orcid.org/0000-0003-4729-1741","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064698212","display_name":"Mehdi Abapour","orcid":"https://orcid.org/0000-0003-0241-7021"},"institutions":[{"id":"https://openalex.org/I41832843","display_name":"University of Tabriz","ror":"https://ror.org/01papkj44","country_code":"IR","type":"education","lineage":["https://openalex.org/I41832843"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Abapour","raw_affiliation_strings":["Electrical Engineering Department, University of Tabriz, Tabriz, Iran"],"raw_orcid":"https://orcid.org/0000-0003-0241-7021","affiliations":[{"raw_affiliation_string":"Electrical Engineering Department, University of Tabriz, Tabriz, Iran","institution_ids":["https://openalex.org/I41832843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059148728","display_name":"Amin Safari","orcid":"https://orcid.org/0000-0002-6575-2671"},"institutions":[{"id":"https://openalex.org/I51301133","display_name":"Azarbaijan Shahid Madani University","ror":"https://ror.org/05pg2cw06","country_code":"IR","type":"education","lineage":["https://openalex.org/I51301133"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Amin Safari","raw_affiliation_strings":["Department of Electrical Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran"],"raw_orcid":"https://orcid.org/0000-0002-6575-2671","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Azarbaijan Shahid Madani University, Tabriz, Iran","institution_ids":["https://openalex.org/I51301133"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088560163","display_name":"Miadreza Shafie\u2010khah","orcid":"https://orcid.org/0000-0003-1691-5355"},"institutions":[{"id":"https://openalex.org/I79765343","display_name":"University of Vaasa","ror":"https://ror.org/03769b225","country_code":"FI","type":"education","lineage":["https://openalex.org/I79765343"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Miadreza Shafie-Khah","raw_affiliation_strings":["School of Technology and Innovations, University of Vaasa, Vaasa, Finland"],"raw_orcid":"https://orcid.org/0000-0003-1691-5355","affiliations":[{"raw_affiliation_string":"School of Technology and Innovations, University of Vaasa, Vaasa, Finland","institution_ids":["https://openalex.org/I79765343"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5027856995"],"corresponding_institution_ids":["https://openalex.org/I41832843"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.1903,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.78584813,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"125521","last_page":"125533"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":1.0,"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":1.0,"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":0.9991000294685364,"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":0.9980999827384949,"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/low-voltage-ride-through","display_name":"Low voltage ride through","score":0.7268480062484741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6384780406951904},{"id":"https://openalex.org/keywords/microgrid","display_name":"Microgrid","score":0.5236232876777649},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.501629114151001},{"id":"https://openalex.org/keywords/distributed-generation","display_name":"Distributed generation","score":0.495702862739563},{"id":"https://openalex.org/keywords/low-voltage","display_name":"Low voltage","score":0.4424504041671753},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.41889330744743347},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.4087812006473541},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.36020681262016296},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26098185777664185},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.23575520515441895},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19637972116470337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14690187573432922},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.14010721445083618},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09044948220252991}],"concepts":[{"id":"https://openalex.org/C2780438294","wikidata":"https://www.wikidata.org/wiki/Q6693052","display_name":"Low voltage ride through","level":4,"score":0.7268480062484741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6384780406951904},{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.5236232876777649},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.501629114151001},{"id":"https://openalex.org/C544738498","wikidata":"https://www.wikidata.org/wiki/Q861135","display_name":"Distributed generation","level":3,"score":0.495702862739563},{"id":"https://openalex.org/C128624480","wikidata":"https://www.wikidata.org/wiki/Q1504817","display_name":"Low voltage","level":3,"score":0.4424504041671753},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.41889330744743347},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.4087812006473541},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.36020681262016296},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26098185777664185},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.23575520515441895},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19637972116470337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14690187573432922},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.14010721445083618},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09044948220252991},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2020.3006875","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3006875","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09133067.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ad6e2922a787428eb8dced4bbf6e3ca7","is_oa":true,"landing_page_url":"https://doaj.org/article/ad6e2922a787428eb8dced4bbf6e3ca7","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 8, Pp 125521-125533 (2020)","raw_type":"article"},{"id":"pmh:oai:osuva.uwasa.fi:10024/11284","is_oa":true,"landing_page_url":"https://osuva.uwasa.fi/handle/10024/11284","pdf_url":null,"source":{"id":"https://openalex.org/S4306400974","display_name":"Osuva (University of Vaasa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79765343","host_organization_name":"University of Vaasa","host_organization_lineage":["https://openalex.org/I79765343"],"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":"","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3006875","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3006875","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09133067.pdf","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8700000047683716}],"awards":[{"id":"https://openalex.org/G8396287498","display_name":null,"funder_award_id":"2019-2021","funder_id":"https://openalex.org/F4320328501","funder_display_name":"Business Finland"},{"id":"https://openalex.org/G8532932350","display_name":null,"funder_award_id":"6844/31/2018","funder_id":"https://openalex.org/F4320328501","funder_display_name":"Business Finland"}],"funders":[{"id":"https://openalex.org/F4320328501","display_name":"Business Finland","ror":"https://ror.org/05bgf9v38"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3040327858.pdf","grobid_xml":"https://content.openalex.org/works/W3040327858.grobid-xml"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W1538443052","https://openalex.org/W1993031714","https://openalex.org/W2024835328","https://openalex.org/W2040605126","https://openalex.org/W2040675470","https://openalex.org/W2053828736","https://openalex.org/W2054842413","https://openalex.org/W2062980826","https://openalex.org/W2089319279","https://openalex.org/W2107726613","https://openalex.org/W2124332712","https://openalex.org/W2132971690","https://openalex.org/W2136220088","https://openalex.org/W2143068257","https://openalex.org/W2154896659","https://openalex.org/W2342484892","https://openalex.org/W2346018280","https://openalex.org/W2557597373","https://openalex.org/W2751935803","https://openalex.org/W2756173019","https://openalex.org/W2766214342","https://openalex.org/W2778290439","https://openalex.org/W2778839402","https://openalex.org/W2782974287","https://openalex.org/W2792174403","https://openalex.org/W2793586438","https://openalex.org/W2794632997","https://openalex.org/W2805690866","https://openalex.org/W2889429005","https://openalex.org/W2896284417","https://openalex.org/W2897139880","https://openalex.org/W2898380972","https://openalex.org/W2903264182","https://openalex.org/W2908525424","https://openalex.org/W2936535135","https://openalex.org/W2943172228","https://openalex.org/W2943964720","https://openalex.org/W2944064191","https://openalex.org/W2945864910","https://openalex.org/W2959392515","https://openalex.org/W2963706970","https://openalex.org/W2978053433","https://openalex.org/W2982445461","https://openalex.org/W2985186021","https://openalex.org/W2985701573","https://openalex.org/W2994964269","https://openalex.org/W3002449826","https://openalex.org/W3003405236","https://openalex.org/W3015115225","https://openalex.org/W3023649022","https://openalex.org/W4251818744"],"related_works":["https://openalex.org/W1574359403","https://openalex.org/W2355150740","https://openalex.org/W1570369983","https://openalex.org/W2051053503","https://openalex.org/W3112588909","https://openalex.org/W1993958856","https://openalex.org/W1991764864","https://openalex.org/W2757449142","https://openalex.org/W2115644566","https://openalex.org/W2889429005"],"abstract_inverted_index":{"Low":[0],"voltage":[1,34,90],"ride":[2],"through":[3,153],"(LVRT)":[4],"is":[5,74,146],"one":[6],"of":[7,11,17,25,51,82,103,107,111,127,134,143,156],"the":[8,15,23,33,37,48,79,100,154],"indispensable":[9],"issues":[10],"recent":[12,41],"decade":[13],"in":[14,40,114],"context":[16],"grid":[18],"codes.":[19],"LVRT":[20,80,101,109,125,141,151],"stands":[21],"for":[22,124],"ability":[24],"a":[26,58,83,121,128,132,144,149],"generation":[27],"facility":[28],"to":[29,77,98],"stay":[30],"connected":[31],"during":[32],"dip.":[35],"Despite":[36],"numerous":[38],"discussions":[39],"works,":[42],"but":[43],"they":[44],"mostly":[45],"concentrate":[46],"on":[47],"LVRT-based":[49],"control":[50],"distributed":[52],"energy":[53],"resources":[54],"(DERs)":[55],"integrated":[56],"into":[57],"microgrid":[59],"and":[60,68],"its":[61],"improvement.":[62],"However,":[63],"what":[64],"has":[65],"been":[66],"hidden":[67],"not":[69],"addressed":[70],"any":[71],"more":[72],"yet":[73],"an":[75],"index":[76,152],"measure":[78],"capability":[81,102,142],"DER-penetrated":[84],"distribution":[85],"network":[86],"(DPDN)":[87],"under":[88],"different":[89],"sags.":[91],"This":[92,118],"takes":[93],"precedence":[94],"when":[95],"we":[96],"want":[97],"evaluate":[99],"DPDNs":[104],"with":[105],"consideration":[106],"various":[108],"categories":[110],"DERs":[112],"mandated":[113],"IEEE":[115],"1547":[116],"standard.":[117],"paper":[119],"introduces":[120],"general":[122],"framework":[123],"assessment":[126],"DPDN":[129,145],"by":[130,148],"solving":[131],"system":[133],"differential":[135],"algebraic":[136],"equations":[137],"(DAEs).":[138],"Then":[139],"expected":[140],"evaluated":[147],"proposed":[150],"implementation":[155],"Monte":[157],"Carlo":[158],"simulation":[159],"technique.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}