{"id":"https://openalex.org/W3155173339","doi":"https://doi.org/10.1109/access.2021.3073063","title":"Nonlinear Stability Analysis of the Conventional SRF-PLL and Enhanced SRF-EPLL","display_name":"Nonlinear Stability Analysis of the Conventional SRF-PLL and Enhanced SRF-EPLL","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3155173339","doi":"https://doi.org/10.1109/access.2021.3073063","mag":"3155173339"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3073063","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3073063","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2021.3073063","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025264533","display_name":"G. Escobar","orcid":"https://orcid.org/0000-0003-0223-2748"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Gerardo Escobar","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico"],"raw_orcid":"https://orcid.org/0000-0003-0223-2748","affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071562038","display_name":"Luis Ibarra","orcid":"https://orcid.org/0000-0002-7290-3001"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Luis Ibarra","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey, Mexico City, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-7290-3001","affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey, Mexico City, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015166957","display_name":"Jes\u00fas E. Valdez-Res\u00e9ndiz","orcid":"https://orcid.org/0000-0002-1889-1353"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jesus Elias Valdez-Resendiz","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico"],"raw_orcid":"https://orcid.org/0000-0002-1889-1353","affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080050535","display_name":"Jonathan C. Mayo\u2010Maldonado","orcid":"https://orcid.org/0000-0003-2513-2395"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Jonathan Carlos Mayo-Maldonado","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico"],"raw_orcid":"https://orcid.org/0000-0003-2513-2395","affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico","institution_ids":["https://openalex.org/I98461037"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063440967","display_name":"Daniel Guill\u00e9n","orcid":"https://orcid.org/0000-0001-9569-9691"},"institutions":[{"id":"https://openalex.org/I98461037","display_name":"Tecnol\u00f3gico de Monterrey","ror":"https://ror.org/03ayjn504","country_code":"MX","type":"education","lineage":["https://openalex.org/I98461037"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Daniel Guillen","raw_affiliation_strings":["School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico"],"raw_orcid":"https://orcid.org/0000-0001-9569-9691","affiliations":[{"raw_affiliation_string":"School of Engineering and Sciences, Tecnologico de Monterrey, Monterrey, Mexico","institution_ids":["https://openalex.org/I98461037"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I98461037"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.8212,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.90686087,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"9","issue":null,"first_page":"59446","last_page":"59455"},"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":0.9763000011444092,"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/T14444","display_name":"Power Systems and Renewable Energy","score":0.9758999943733215,"subfield":{"id":"https://openalex.org/subfields/2102","display_name":"Energy Engineering and Power Technology"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.8034211993217468},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.718756914138794},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6263830661773682},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6025856137275696},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6006802320480347},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5930424928665161},{"id":"https://openalex.org/keywords/linearization","display_name":"Linearization","score":0.5917642116546631},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4737454354763031},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.41836875677108765},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.4129940867424011},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.12203553318977356},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11722469329833984},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1051347553730011},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10200798511505127},{"id":"https://openalex.org/keywords/jitter","display_name":"Jitter","score":0.09721514582633972}],"concepts":[{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.8034211993217468},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.718756914138794},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6263830661773682},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6025856137275696},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6006802320480347},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5930424928665161},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.5917642116546631},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4737454354763031},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.41836875677108765},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4129940867424011},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.12203553318977356},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11722469329833984},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1051347553730011},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10200798511505127},{"id":"https://openalex.org/C134652429","wikidata":"https://www.wikidata.org/wiki/Q1052698","display_name":"Jitter","level":2,"score":0.09721514582633972},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2021.3073063","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3073063","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:b18d0701d7974d94817896c6a1ac6353","is_oa":true,"landing_page_url":"https://doaj.org/article/b18d0701d7974d94817896c6a1ac6353","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 9, Pp 59446-59455 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3073063","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3073063","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W984417604","https://openalex.org/W1966235450","https://openalex.org/W1974967408","https://openalex.org/W2005256015","https://openalex.org/W2057634925","https://openalex.org/W2067621972","https://openalex.org/W2100189858","https://openalex.org/W2100965353","https://openalex.org/W2113001378","https://openalex.org/W2115102890","https://openalex.org/W2127558538","https://openalex.org/W2129087515","https://openalex.org/W2135465079","https://openalex.org/W2278623041","https://openalex.org/W2305008190","https://openalex.org/W2371153789","https://openalex.org/W2476286199","https://openalex.org/W2563341442","https://openalex.org/W2610075340","https://openalex.org/W2792430593","https://openalex.org/W2890588903","https://openalex.org/W2899329342","https://openalex.org/W2921112787","https://openalex.org/W2943905979","https://openalex.org/W2970988154","https://openalex.org/W2976250784","https://openalex.org/W2991037843","https://openalex.org/W2996785560","https://openalex.org/W2997433473","https://openalex.org/W4310301864","https://openalex.org/W6678966916"],"related_works":["https://openalex.org/W1576949837","https://openalex.org/W4360861688","https://openalex.org/W3134930219","https://openalex.org/W984417604","https://openalex.org/W2967785526","https://openalex.org/W1993045784","https://openalex.org/W2065391525","https://openalex.org/W2113001378","https://openalex.org/W4318711045","https://openalex.org/W2525142136"],"abstract_inverted_index":{"Phase-locked":[0],"loop":[1],"(PLL)":[2],"systems":[3],"play":[4],"a":[5,33,48,73,106,151,184,193],"crucial":[6],"role":[7],"in":[8,19,43,123,180,192,207],"grid":[9,15],"synchronization.":[10],"Since":[11],"variations":[12,98],"on":[13,109,156,167],"the":[14,22,57,124,139,143,160,208],"voltage":[16],"parameters":[17],"are":[18,26,99,190],"general":[20],"uncertain,":[21],"dynamics":[23],"of":[24,51,81,186,210],"PLLs":[25],"by":[27,115,120],"nature":[28],"nonlinear.":[29],"This":[30],"fact":[31],"imposes":[32],"relevant":[34],"challenge":[35],"to":[36,76,83,91,102],"guarantee":[37],"their":[38],"stability.":[39,77],"Unfortunately,":[40],"as":[41,62],"argued":[42],"this":[44,67,104,121,181],"paper,":[45],"there":[46,69],"is":[47,70,86,89,113,183,198],"remarkable":[49],"lack":[50],"global":[52,129,194],"stability":[53,131,162,187],"tests":[54,132],"even":[55],"for":[56,133],"most":[58],"common":[59],"approaches,":[60],"such":[61],"thesynchronous":[63],"reference":[64],"frame(SRF).":[65],"In":[66],"case,":[68],"only":[71],"available":[72],"small-signal\u2014linearized\u2014model-based":[74],"approach":[75,153],"The":[78,177],"main":[79,178],"issue":[80],"resorting":[82],"local":[84],"conclusions":[85],"that":[87,189,200],"synchronization":[88],"forced":[90],"operate":[92],"under":[93],"conservative":[94],"conditions,":[95],"where":[96],"large-signal":[97],"forbidden.":[100],"Needless":[101],"say,":[103],"has":[105],"detrimental":[107],"impact":[108],"applications,":[110],"since":[111],"performance":[112],"limited":[114],"small":[116],"disturbance":[117],"assumptions.":[118],"Motivated":[119],"problem,":[122],"present":[125],"work,":[126],"we":[127,149],"provide":[128],"asymptotic":[130],"two":[134],"fundamental":[135],"PLL":[136,213],"algorithms.":[137],"Namely,":[138],"conventional":[140],"SRF-PLL":[141],"and":[142],"enhanced":[144],"SRF-EPLL.":[145],"To":[146],"do":[147,164],"so,":[148],"use":[150],"Lyapunov":[152],"acting":[154],"directly":[155],"nonlinear":[157],"trajectories.":[158],"Consequently,":[159],"provided":[161],"proofs":[163],"not":[165],"rely":[166],"any":[168],"linearization":[169],"technique,":[170],"frequency-domain":[171],"conversion,":[172],"or":[173],"small-signal":[174],"model":[175],"representation.":[176],"contribution":[179],"paper":[182],"set":[185],"conditions":[188],"valid":[191],"sense.":[195],"Moreover,":[196],"it":[197],"shown":[199],"these":[201],"results":[202],"have":[203],"direct":[204],"practical":[205],"implications":[206],"form":[209],"new":[211],"robust":[212],"gain":[214],"tuning":[215],"guidelines.":[216]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}