{"id":"https://openalex.org/W4312444170","doi":"https://doi.org/10.1109/access.2022.3230915","title":"A Systematic and Comprehensive Geometric Framework for Multiphase Power Systems Analysis and Computing in Time Domain","display_name":"A Systematic and Comprehensive Geometric Framework for Multiphase Power Systems Analysis and Computing in Time Domain","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4312444170","doi":"https://doi.org/10.1109/access.2022.3230915"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3230915","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3230915","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09992202.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":"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://ieeexplore.ieee.org/ielx7/6287639/6514899/09992202.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061118136","display_name":"Ahmad H. Eid","orcid":null},"institutions":[{"id":"https://openalex.org/I88017793","display_name":"Port Said University","ror":"https://ror.org/01vx5yq44","country_code":"EG","type":"education","lineage":["https://openalex.org/I88017793"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Ahmad H. Eid","raw_affiliation_strings":["Department of Electrical Engineering, Faculty of Engineering, Port-Said University, Port Fouad, Egypt","Department of Electrical Engineering, Faculty of Engineering, Port-Said University, Port-Fouad, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Port-Said University, Port Fouad, Egypt","institution_ids":["https://openalex.org/I88017793"]},{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Port-Said University, Port-Fouad, Egypt","institution_ids":["https://openalex.org/I88017793"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102751604","display_name":"Francisco G. Montoya","orcid":"https://orcid.org/0000-0003-4105-565X"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco G. Montoya","raw_affiliation_strings":["Department of Engineering, University of Almer&#x00ED;a, Almeria, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Almer&#x00ED;a, Almeria, Spain","institution_ids":["https://openalex.org/I52354020"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061118136"],"corresponding_institution_ids":["https://openalex.org/I88017793"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":2.7036,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91515572,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"10","issue":null,"first_page":"132725","last_page":"132741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9908999800682068,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10573","display_name":"Power Quality and Harmonics","score":0.9564999938011169,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9412999749183655,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6147671937942505},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.4955688714981079},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4807314872741699},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.4751817286014557},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.4675171673297882},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.46691229939460754},{"id":"https://openalex.org/keywords/vector-space","display_name":"Vector space","score":0.46094048023223877},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4414401948451996},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.41103053092956543},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40604522824287415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3608155846595764},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3114794194698334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26784032583236694},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15686306357383728},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13962054252624512},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10821318626403809}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6147671937942505},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.4955688714981079},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4807314872741699},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.4751817286014557},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.4675171673297882},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.46691229939460754},{"id":"https://openalex.org/C13336665","wikidata":"https://www.wikidata.org/wiki/Q125977","display_name":"Vector space","level":2,"score":0.46094048023223877},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4414401948451996},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.41103053092956543},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40604522824287415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3608155846595764},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3114794194698334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26784032583236694},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15686306357383728},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13962054252624512},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10821318626403809},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","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/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3230915","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3230915","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09992202.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":"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:a8c7393c4c854ea8be319916e0260c10","is_oa":true,"landing_page_url":"https://doaj.org/article/a8c7393c4c854ea8be319916e0260c10","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 132725-132741 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3230915","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3230915","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09992202.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":"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":[{"id":"https://openalex.org/G3748667867","display_name":null,"funder_award_id":"PGC2018-098813-B-C33","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"},{"id":"https://openalex.org/G3821925137","display_name":null,"funder_award_id":"PGC2018-09","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G490073602","display_name":null,"funder_award_id":"PGC2018","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G8148098646","display_name":null,"funder_award_id":"PGC2018-098813-B-C33","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312444170.pdf","grobid_xml":"https://content.openalex.org/works/W4312444170.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W122875470","https://openalex.org/W1544725832","https://openalex.org/W1973681578","https://openalex.org/W2025746857","https://openalex.org/W2041937566","https://openalex.org/W2047014123","https://openalex.org/W2072015843","https://openalex.org/W2083179787","https://openalex.org/W2088681432","https://openalex.org/W2106673195","https://openalex.org/W2108355560","https://openalex.org/W2116021467","https://openalex.org/W2129784846","https://openalex.org/W2138232695","https://openalex.org/W2147801835","https://openalex.org/W2149783401","https://openalex.org/W2152957847","https://openalex.org/W2160874270","https://openalex.org/W2163754877","https://openalex.org/W2166441753","https://openalex.org/W2207405419","https://openalex.org/W2226320259","https://openalex.org/W2312763373","https://openalex.org/W2481578392","https://openalex.org/W2605501659","https://openalex.org/W2616886576","https://openalex.org/W2754537469","https://openalex.org/W2913688952","https://openalex.org/W2972587753","https://openalex.org/W2974900460","https://openalex.org/W2981387314","https://openalex.org/W3016558401","https://openalex.org/W3047611883","https://openalex.org/W3049262741","https://openalex.org/W3088862700","https://openalex.org/W3187835492","https://openalex.org/W3197139174","https://openalex.org/W4200163155","https://openalex.org/W4250020688"],"related_works":["https://openalex.org/W1980381208","https://openalex.org/W2364594919","https://openalex.org/W2219338811","https://openalex.org/W3021842471","https://openalex.org/W3021551309","https://openalex.org/W48031615","https://openalex.org/W4239093923","https://openalex.org/W4387319732","https://openalex.org/W2113663012","https://openalex.org/W4236969978"],"abstract_inverted_index":{"This":[0,118],"paper":[1],"presents":[2],"a":[3,7,48,79,124],"new":[4,49],"framework":[5],"for":[6,22],"systematic":[8],"and":[9,26,45],"thorough":[10],"generalization":[11,80],"of":[12,35,42,74,85,109,127,150,168],"the":[13,33,40,59,98,102,147,151,165,169],"most":[14],"well-known":[15],"instantaneous":[16],"transformations":[17,65],"used":[18,67],"in":[19,68,123],"electrical":[20,69,133],"engineering":[21],"power":[23,128,137],"systems":[24],"analysis":[25],"computing":[27],"through":[28],"geometric":[29],"principles":[30],"based":[31],"on":[32],"language":[34],"Geometric":[36],"Algebra.":[37],"By":[38],"introducing":[39],"concepts":[41],"Kirchhoff":[43,46],"Vector":[44],"Subspace,":[47],"generalized":[50],"transformation":[51],"is":[52,56,87],"presented.":[53],"Thus,":[54],"it":[55],"shown":[57],"how":[58],"Clarke,":[60],"Park":[61],"or":[62,141],"Hyper-Space":[63],"vector":[64],"(widely":[66],"engineering)":[70],"are":[71,105],"particular":[72],"cases":[73],"this":[75],"unifying":[76],"framework.":[77],"Moreover,":[78],"to":[81,91,97,154,163],"an":[82],"arbitrary":[83],"number":[84],"phases":[86],"achieved.":[88],"In":[89],"order":[90],"be":[92],"as":[93,95,132],"close":[94],"possible":[96],"geometrical":[99],"intuition,":[100],"all":[101],"underlying":[103],"ideas":[104],"presented":[106],"by":[107,113],"means":[108],"spatial-like":[110],"conceptualizations,":[111],"substantiated":[112],"their":[114],"corresponding":[115],"algebraic":[116],"formulation.":[117],"proposal":[119],"has":[120],"potential":[121,166],"uses":[122],"wide":[125],"range":[126],"system":[129],"applications":[130],"such":[131],"machines,":[134],"current":[135],"compensation,":[136],"quality,":[138],"electronic":[139],"converters":[140],"transmission":[142],"lines.":[143],"Preliminary":[144],"results":[145],"show":[146],"superior":[148],"efficiency":[149],"method":[152],"compared":[153],"matrix":[155],"methods.":[156],"Some":[157],"real-world":[158],"examples":[159],"have":[160],"been":[161],"included":[162],"highlight":[164],"use":[167],"method.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":9}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
