{"id":"https://openalex.org/W7105092608","doi":"https://doi.org/10.1109/tie.2025.3621598","title":"A Novel Fractional-Order Derivative-Based Method for Frequency Estimation in Low-Inertia Future Grids","display_name":"A Novel Fractional-Order Derivative-Based Method for Frequency Estimation in Low-Inertia Future Grids","publication_year":2025,"publication_date":"2025-11-12","ids":{"openalex":"https://openalex.org/W7105092608","doi":"https://doi.org/10.1109/tie.2025.3621598"},"language":null,"primary_location":{"id":"doi:10.1109/tie.2025.3621598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3621598","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://strathprints.strath.ac.uk/94803/1/Abouyehia-etal-2025-A-novel-fractional-order-derivative-based-method.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Mohamed Abouyehia","orcid":"https://orcid.org/0000-0002-8569-4763"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Mohamed Abouyehia","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, U.K"],"raw_orcid":"https://orcid.org/0000-0002-8569-4763","affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, U.K","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Agusti Egea-Alvarez","orcid":"https://orcid.org/0000-0003-1286-6699"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Agusti Egea-Alvarez","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, U.K"],"raw_orcid":"https://orcid.org/0000-0003-1286-6699","affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, U.K","institution_ids":["https://openalex.org/I181647926"]}]},{"author_position":"last","author":{"id":null,"display_name":"Khaled H. Ahmed","orcid":"https://orcid.org/0000-0002-7912-8140"},"institutions":[{"id":"https://openalex.org/I181647926","display_name":"University of Strathclyde","ror":"https://ror.org/00n3w3b69","country_code":"GB","type":"education","lineage":["https://openalex.org/I181647926"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Khaled H. Ahmed","raw_affiliation_strings":["Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, U.K"],"raw_orcid":"https://orcid.org/0000-0002-7912-8140","affiliations":[{"raw_affiliation_string":"Department of Electronic and Electrical Engineering, University of Strathclyde, Glasgow, U.K","institution_ids":["https://openalex.org/I181647926"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181647926"],"apc_list":null,"apc_paid":null,"fwci":0.4506,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66440685,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"73","issue":"3","first_page":"4989","last_page":"5001"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.7332000136375427,"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":0.7332000136375427,"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/T10305","display_name":"Power System Optimization and Stability","score":0.1273999959230423,"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/T10740","display_name":"Wind Turbine Control Systems","score":0.04190000146627426,"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/robustness","display_name":"Robustness (evolution)","score":0.7469000220298767},{"id":"https://openalex.org/keywords/frequency-deviation","display_name":"Frequency deviation","score":0.6410999894142151},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5719000101089478},{"id":"https://openalex.org/keywords/frequency-response","display_name":"Frequency response","score":0.527899980545044},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.5157999992370605},{"id":"https://openalex.org/keywords/automatic-frequency-control","display_name":"Automatic frequency control","score":0.5060999989509583},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4713999927043915},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.42829999327659607},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.4194999933242798},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4090000092983246}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7469000220298767},{"id":"https://openalex.org/C123919525","wikidata":"https://www.wikidata.org/wiki/Q761942","display_name":"Frequency deviation","level":3,"score":0.6410999894142151},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5719000101089478},{"id":"https://openalex.org/C8590192","wikidata":"https://www.wikidata.org/wiki/Q1054694","display_name":"Frequency response","level":2,"score":0.527899980545044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5210999846458435},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.5157999992370605},{"id":"https://openalex.org/C25915539","wikidata":"https://www.wikidata.org/wiki/Q220786","display_name":"Automatic frequency control","level":2,"score":0.5060999989509583},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4731000065803528},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4713999927043915},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.42829999327659607},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.4194999933242798},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C11930861","wikidata":"https://www.wikidata.org/wiki/Q181417","display_name":"Frequency modulation","level":3,"score":0.39730000495910645},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.3887999951839447},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3822000026702881},{"id":"https://openalex.org/C21905445","wikidata":"https://www.wikidata.org/wiki/Q5502873","display_name":"Frequency grid","level":3,"score":0.3815000057220459},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.37940001487731934},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.3634999990463257},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.33649998903274536},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3176000118255615},{"id":"https://openalex.org/C29265498","wikidata":"https://www.wikidata.org/wiki/Q7047719","display_name":"Noise measurement","level":3,"score":0.3122999966144562},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.30329999327659607},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.2996000051498413},{"id":"https://openalex.org/C10513763","wikidata":"https://www.wikidata.org/wiki/Q1331774","display_name":"Fundamental frequency","level":2,"score":0.29350000619888306},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29120001196861267},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.29019999504089355},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.28630000352859497},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.27399998903274536},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.27230000495910645},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C178911571","wikidata":"https://www.wikidata.org/wiki/Q593143","display_name":"Power electronics","level":3,"score":0.25859999656677246}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tie.2025.3621598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3621598","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"},{"id":"pmh:oai:strathprints.strath.ac.uk:94803","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/1477902.html>","pdf_url":"https://strathprints.strath.ac.uk/94803/1/Abouyehia-etal-2025-A-novel-fractional-order-derivative-based-method.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:strathprints.strath.ac.uk:94803","is_oa":true,"landing_page_url":"https://strathprints.strath.ac.uk/view/author/1477902.html>","pdf_url":"https://strathprints.strath.ac.uk/94803/1/Abouyehia-etal-2025-A-novel-fractional-order-derivative-based-method.pdf","source":{"id":"https://openalex.org/S4306402226","display_name":"Strathprints: The University of Strathclyde institutional repository (University of Strathclyde)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I181647926","host_organization_name":"University of Strathclyde","host_organization_lineage":["https://openalex.org/I181647926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320313196","display_name":"ScottishPower Renewables","ror":"https://ror.org/048hrc512"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7105092608.pdf","grobid_xml":"https://content.openalex.org/works/W7105092608.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,40,53,157,163,179],"novel":[4],"frequency":[5,41,51,74,79],"estimation":[6,194],"method":[7,26,113,122,170,191],"based":[8],"on":[9,101],"fractional-order":[10,64],"derivatives,":[11],"designed":[12],"to":[13,31,44,66,93,134,203],"meet":[14],"the":[15,28,45,48,73,88,111,120,146,189],"rapid":[16],"response":[17,197],"requirements":[18],"of":[19,119,148,182],"modern":[20],"low-inertia":[21],"power":[22],"systems.":[23],"The":[24,76,117,168],"proposed":[25,112,121,169,190],"utilises":[27],"Park-Clark":[29],"transformation":[30],"convert":[32],"three-phase":[33],"system":[34,50,78],"voltages":[35],"intodqcomponents,":[36],"which":[37,99,130],"oscillate":[38],"at":[39],"deviation":[42,86],"corresponding":[43],"difference":[46],"between":[47],"actual":[49,77],"and":[52,71,104,137,199],"predefined":[54],"reference":[55,89],"frequency.":[56],"A":[57],"new":[58],"analytical":[59],"formulation":[60],"is":[61,80,123,153,171],"derived":[62],"using":[63,156],"derivatives":[65],"process":[67],"these":[68],"oscillatory":[69],"components":[70],"estimate":[72],"deviation.":[75],"then":[81],"obtained":[82],"by":[83,108],"summing":[84],"this":[85],"with":[87],"value.":[90],"In":[91],"contrast":[92],"conventional":[94],"phase-locked":[95],"loop":[96],"(PLL)":[97],"methods,":[98],"rely":[100],"integral":[102],"control":[103],"are":[105],"inherently":[106],"limited":[107],"dynamic":[109],"delays,":[110],"eliminates":[114],"such":[115],"latency.":[116],"performance":[118],"thoroughly":[124],"evaluated":[125],"through":[126],"rigorous":[127],"mathematical":[128],"analysis,":[129],"encompasses":[131],"its":[132,143],"resilience":[133],"both":[135],"noise":[136],"harmonic":[138],"distortion,":[139],"as":[140,142],"well":[141],"stability":[144],"in":[145],"presence":[147],"measurement":[149],"inaccuracies.":[150],"Experimental":[151],"validation":[152],"carried":[154],"out":[155],"real-time":[158],"hardware-in-the-loop":[159],"(HIL)":[160],"setup,":[161],"incorporating":[162],"CINERGIA":[164],"programmable":[165],"grid":[166,183],"emulator.":[167],"benchmarked":[172],"against":[173],"recent":[174],"advanced":[175],"PLL-based":[176],"methods":[177],"across":[178],"diverse":[180],"set":[181],"disturbance":[184],"scenarios.":[185],"Results":[186],"confirm":[187],"that":[188],"achieves":[192],"superior":[193],"accuracy,":[195],"reduced":[196],"time,":[198],"enhanced":[200],"robustness":[201],"compared":[202],"existing":[204],"methods.":[205]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-11-12T00:00:00"}