{"id":"https://openalex.org/W2796101950","doi":"https://doi.org/10.1109/tsg.2018.2822323","title":"Frequency and Phasor Estimations in Three-Phase Systems: Maximum Likelihood Algorithms and Theoretical Performance","display_name":"Frequency and Phasor Estimations in Three-Phase Systems: Maximum Likelihood Algorithms and Theoretical Performance","publication_year":2018,"publication_date":"2018-04-03","ids":{"openalex":"https://openalex.org/W2796101950","doi":"https://doi.org/10.1109/tsg.2018.2822323","mag":"2796101950"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2018.2822323","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2822323","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014446092","display_name":"Vincent Choqueuse","orcid":"https://orcid.org/0000-0002-2532-7486"},"institutions":[{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I180375564","display_name":"\u00c9cole nationale d'ing\u00e9nieurs de Brest","ror":"https://ror.org/02ypw0a72","country_code":"FR","type":"education","lineage":["https://openalex.org/I180375564"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Vincent Choqueuse","raw_affiliation_strings":["IUT GEII, University of Brest, Brest, France"],"affiliations":[{"raw_affiliation_string":"IUT GEII, University of Brest, Brest, France","institution_ids":["https://openalex.org/I180375564","https://openalex.org/I161929037"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039079296","display_name":"Adel Belouchrani","orcid":"https://orcid.org/0000-0002-4579-7346"},"institutions":[{"id":"https://openalex.org/I2802493600","display_name":"Polytechnic School of Algiers","ror":"https://ror.org/05t0zwy08","country_code":"DZ","type":"education","lineage":["https://openalex.org/I2802493600"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Adel Belouchrani","raw_affiliation_strings":["Electrical Engineering Department/LDCCP Laboratory, Ecole Nationale Polytechnique, Algiers, Algeria","[Electrical Engineering Department/LDCCP Laboratory, Ecole Nationale Polytechnique, Algiers, Algeria]"],"affiliations":[{"raw_affiliation_string":"Electrical Engineering Department/LDCCP Laboratory, Ecole Nationale Polytechnique, Algiers, Algeria","institution_ids":["https://openalex.org/I2802493600"]},{"raw_affiliation_string":"[Electrical Engineering Department/LDCCP Laboratory, Ecole Nationale Polytechnique, Algiers, Algeria]","institution_ids":["https://openalex.org/I2802493600"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040318267","display_name":"Fran\u00e7ois Auger","orcid":"https://orcid.org/0000-0001-9158-1784"},"institutions":[{"id":"https://openalex.org/I4210137520","display_name":"Institut de Recherche en G\u00e9nie Civil et M\u00e9canique","ror":"https://ror.org/03x30hb31","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210095849","https://openalex.org/I4210137520","https://openalex.org/I97188460","https://openalex.org/I97188460"]},{"id":"https://openalex.org/I97188460","display_name":"Nantes Universit\u00e9","ror":"https://ror.org/03gnr7b55","country_code":"FR","type":"education","lineage":["https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francois Auger","raw_affiliation_strings":["Institut de Recherche en \u00c9nergie \u00c9lectrique de Nantes Atlantique, University of Nantes Angers Le Mans, Saint-Nazaire, France","[Institut de Recherche en \u00c9nergie \u00c9lectrique de Nantes Atlantique, University of Nantes Angers Le Mans, Saint-Nazaire, France]"],"affiliations":[{"raw_affiliation_string":"Institut de Recherche en \u00c9nergie \u00c9lectrique de Nantes Atlantique, University of Nantes Angers Le Mans, Saint-Nazaire, France","institution_ids":["https://openalex.org/I4210137520"]},{"raw_affiliation_string":"[Institut de Recherche en \u00c9nergie \u00c9lectrique de Nantes Atlantique, University of Nantes Angers Le Mans, Saint-Nazaire, France]","institution_ids":["https://openalex.org/I97188460"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035730211","display_name":"Mohamed Benbouzid","orcid":"https://orcid.org/0000-0002-4844-508X"},"institutions":[{"id":"https://openalex.org/I161929037","display_name":"Universit\u00e9 de Bretagne Occidentale","ror":"https://ror.org/01b8h3982","country_code":"FR","type":"education","lineage":["https://openalex.org/I161929037"]},{"id":"https://openalex.org/I180375564","display_name":"\u00c9cole nationale d'ing\u00e9nieurs de Brest","ror":"https://ror.org/02ypw0a72","country_code":"FR","type":"education","lineage":["https://openalex.org/I180375564"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohamed Benbouzid","raw_affiliation_strings":["IUT GEII, University of Brest, Brest, France"],"affiliations":[{"raw_affiliation_string":"IUT GEII, University of Brest, Brest, France","institution_ids":["https://openalex.org/I180375564","https://openalex.org/I161929037"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014446092"],"corresponding_institution_ids":["https://openalex.org/I161929037","https://openalex.org/I180375564"],"apc_list":null,"apc_paid":null,"fwci":3.0003,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.91743379,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"10","issue":"3","first_page":"3248","last_page":"3258"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":1.0,"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10573","display_name":"Power Quality and Harmonics","score":0.9973000288009644,"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/phasor","display_name":"Phasor","score":0.8636749982833862},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.8588106632232666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6219313740730286},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.5518739819526672},{"id":"https://openalex.org/keywords/minimax-estimator","display_name":"Minimax estimator","score":0.4919707477092743},{"id":"https://openalex.org/keywords/estimation-theory","display_name":"Estimation theory","score":0.46840474009513855},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.44528454542160034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4383878707885742},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4318726658821106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41505560278892517},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2318149209022522},{"id":"https://openalex.org/keywords/minimum-variance-unbiased-estimator","display_name":"Minimum-variance unbiased estimator","score":0.23105207085609436},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.1932971179485321},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.15711817145347595},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12356087565422058}],"concepts":[{"id":"https://openalex.org/C176605952","wikidata":"https://www.wikidata.org/wiki/Q827674","display_name":"Phasor","level":4,"score":0.8636749982833862},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8588106632232666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6219313740730286},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.5518739819526672},{"id":"https://openalex.org/C133939421","wikidata":"https://www.wikidata.org/wiki/Q6865379","display_name":"Minimax estimator","level":4,"score":0.4919707477092743},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.46840474009513855},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44528454542160034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4383878707885742},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4318726658821106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41505560278892517},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2318149209022522},{"id":"https://openalex.org/C165646398","wikidata":"https://www.wikidata.org/wiki/Q3755281","display_name":"Minimum-variance unbiased estimator","level":3,"score":0.23105207085609436},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.1932971179485321},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.15711817145347595},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12356087565422058},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsg.2018.2822323","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2018.2822323","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-02469555v1","is_oa":false,"landing_page_url":"https://hal.science/hal-02469555","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Smart Grid, 2019, 10 (3), pp.3248-3258. ⟨10.1109/TSG.2018.2822323⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W108379496","https://openalex.org/W208605634","https://openalex.org/W639989723","https://openalex.org/W1613238992","https://openalex.org/W1640454096","https://openalex.org/W1965041626","https://openalex.org/W1980606666","https://openalex.org/W1982785656","https://openalex.org/W2014724735","https://openalex.org/W2018089423","https://openalex.org/W2042663762","https://openalex.org/W2073567949","https://openalex.org/W2079720152","https://openalex.org/W2089907070","https://openalex.org/W2095590702","https://openalex.org/W2102965848","https://openalex.org/W2116279256","https://openalex.org/W2124160553","https://openalex.org/W2128258856","https://openalex.org/W2139424477","https://openalex.org/W2139639055","https://openalex.org/W2151107605","https://openalex.org/W2151109389","https://openalex.org/W2156770773","https://openalex.org/W2169791062","https://openalex.org/W2171730044","https://openalex.org/W2171978417","https://openalex.org/W2314512895","https://openalex.org/W2343875929","https://openalex.org/W2517945734","https://openalex.org/W2583753521","https://openalex.org/W2613681884","https://openalex.org/W2624059558","https://openalex.org/W2734648576","https://openalex.org/W2785637931","https://openalex.org/W3031689935","https://openalex.org/W3123456921","https://openalex.org/W4211251910","https://openalex.org/W4230289697","https://openalex.org/W4231796025","https://openalex.org/W4242467265"],"related_works":["https://openalex.org/W2071137974","https://openalex.org/W4224280502","https://openalex.org/W2503196393","https://openalex.org/W2166008706","https://openalex.org/W2127773678","https://openalex.org/W1923806246","https://openalex.org/W2543747607","https://openalex.org/W2165286486","https://openalex.org/W2069885834","https://openalex.org/W2594721800"],"abstract_inverted_index":{"In":[0,53],"this":[1,35,54,90],"paper,":[2,55],"the":[3,30,39,50,63,78,81,86,95,100,110,118,129,133,148],"problem":[4],"of":[5,20,38,99,112,150],"frequency":[6,102],"and":[7,85,103,121,142],"phasor":[8],"estimation":[9,31,41,119,134],"in":[10],"three-phase":[11,83],"systems":[12],"is":[13,65],"considered.":[14],"Three-phase":[15],"electrical":[16],"signals":[17],"are":[18,43],"composed":[19],"three":[21],"components":[22],"that":[23,126],"can":[24],"be":[25],"jointly":[26],"exploited":[27],"to":[28],"improve":[29],"performance.":[32],"To":[33],"exploit":[34],"property,":[36],"most":[37],"existing":[40],"algorithms":[42],"based":[44],"on":[45],"a":[46,58,68,113,123,144],"linear":[47],"preprocessing":[48,64],"called":[49,147],"Clarke":[51,130],"transform.":[52,70,131],"we":[56,93,139],"investigate":[57],"more":[59],"general":[60,91],"situation":[61,72],"where":[62],"obtained":[66],"from":[67],"semi-orthogonal":[69,115],"This":[71],"encompasses":[73],"several":[74],"strategies":[75],"such":[76],"as":[77],"single-phase":[79],"estimator,":[80,84],"optimal":[82],"Clarke-based":[87],"estimator.":[88],"For":[89],"situation,":[92],"derive":[94,143],"maximum":[96],"likelihood":[97],"estimator":[98],"angular":[101],"complex":[104],"phasors.":[105],"We":[106],"also":[107,140],"examine":[108],"how":[109],"choice":[111],"particular":[114],"transform":[116],"affects":[117],"performance,":[120],"present":[122],"new":[124,145],"technique":[125],"statistically":[127],"outperforms":[128],"Regarding":[132],"performance":[135],"under":[136],"noisy":[137],"environment,":[138],"introduce":[141],"criterion":[146],"probability":[149],"IEEE":[151],"C37.118":[152],"Standard":[153],"compliance.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}