{"id":"https://openalex.org/W2127750297","doi":"https://doi.org/10.1142/s0218126609005629","title":"GENERALIZED ANALYSIS OF ELECTRICAL CIRCUITS BY USING HYPERNION MATRICES","display_name":"GENERALIZED ANALYSIS OF ELECTRICAL CIRCUITS BY USING HYPERNION MATRICES","publication_year":2009,"publication_date":"2009-10-08","ids":{"openalex":"https://openalex.org/W2127750297","doi":"https://doi.org/10.1142/s0218126609005629","mag":"2127750297"},"language":"en","primary_location":{"id":"doi:10.1142/s0218126609005629","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126609005629","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","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/A5105542296","display_name":"Yefim Berkovich","orcid":null},"institutions":[{"id":"https://openalex.org/I157943965","display_name":"Holon Institute of Technology","ror":"https://ror.org/02prqh017","country_code":"IL","type":"education","lineage":["https://openalex.org/I157943965"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"YEFIM BERKOVICH","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Holon Institute of Technology, 52 Golomb Str., Holon 58102, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Holon Institute of Technology, 52 Golomb Str., Holon 58102, Israel","institution_ids":["https://openalex.org/I157943965"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108522070","display_name":"A. Shenkman","orcid":null},"institutions":[{"id":"https://openalex.org/I157943965","display_name":"Holon Institute of Technology","ror":"https://ror.org/02prqh017","country_code":"IL","type":"education","lineage":["https://openalex.org/I157943965"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"ARIEH SHENKMAN","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Holon Institute of Technology, 52 Golomb Str., Holon 58102, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Holon Institute of Technology, 52 Golomb Str., Holon 58102, Israel","institution_ids":["https://openalex.org/I157943965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031476977","display_name":"S. Tapuchi","orcid":null},"institutions":[{"id":"https://openalex.org/I3129975082","display_name":"Sami Shamoon College of Engineering","ror":"https://ror.org/011aa4g29","country_code":"IL","type":"education","lineage":["https://openalex.org/I3129975082"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"SAAD TAPUCHI","raw_affiliation_strings":["Sami Shamoon College of Engineering, Bialic/Basel Str. Beer Sheva 84100, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sami Shamoon College of Engineering, Bialic/Basel Str. Beer Sheva 84100, Israel","institution_ids":["https://openalex.org/I3129975082"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.1501808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"18","issue":"07","first_page":"1205","last_page":"1225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12899","display_name":"Engineering and Technology Innovations","score":0.919700026512146,"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/T12899","display_name":"Engineering and Technology Innovations","score":0.919700026512146,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9174000024795532,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9162999987602234,"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/electronic-circuit","display_name":"Electronic circuit","score":0.8246445655822754},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6327022314071655},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6113468408584595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5902488231658936},{"id":"https://openalex.org/keywords/network-analysis","display_name":"Network analysis","score":0.5778850317001343},{"id":"https://openalex.org/keywords/symbolic-data-analysis","display_name":"Symbolic data analysis","score":0.5671402812004089},{"id":"https://openalex.org/keywords/electrical-network","display_name":"Electrical network","score":0.5493261218070984},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.4452096223831177},{"id":"https://openalex.org/keywords/electrical-element","display_name":"Electrical element","score":0.4302450716495514},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.426765501499176},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4161069393157959},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3452119827270508},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3328423798084259},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.2356569468975067},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.16206753253936768},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.16037511825561523},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14538803696632385}],"concepts":[{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.8246445655822754},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6327022314071655},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6113468408584595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5902488231658936},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.5778850317001343},{"id":"https://openalex.org/C65620979","wikidata":"https://www.wikidata.org/wiki/Q7661176","display_name":"Symbolic data analysis","level":2,"score":0.5671402812004089},{"id":"https://openalex.org/C196796808","wikidata":"https://www.wikidata.org/wiki/Q132629","display_name":"Electrical network","level":2,"score":0.5493261218070984},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.4452096223831177},{"id":"https://openalex.org/C113089479","wikidata":"https://www.wikidata.org/wiki/Q210729","display_name":"Electrical element","level":2,"score":0.4302450716495514},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.426765501499176},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4161069393157959},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3452119827270508},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3328423798084259},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.2356569468975067},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.16206753253936768},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.16037511825561523},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14538803696632385},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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":1,"locations":[{"id":"doi:10.1142/s0218126609005629","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218126609005629","pdf_url":null,"source":{"id":"https://openalex.org/S167602672","display_name":"Journal of Circuits Systems and Computers","issn_l":"0218-1266","issn":["0218-1266","1793-6454"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Circuits, Systems and Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W93308513","https://openalex.org/W144064437","https://openalex.org/W613833556","https://openalex.org/W615881649","https://openalex.org/W1554808421","https://openalex.org/W2060496790","https://openalex.org/W3142455761","https://openalex.org/W4214747203"],"related_works":["https://openalex.org/W2132074481","https://openalex.org/W2736010003","https://openalex.org/W2523111252","https://openalex.org/W2114430625","https://openalex.org/W1556171578","https://openalex.org/W2496234482","https://openalex.org/W1905658062","https://openalex.org/W1612713856","https://openalex.org/W3140828006","https://openalex.org/W2185945525"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"a":[3,77,101,119,129,164,173],"novel":[4],"method":[5,56,99,146],"for":[6,25,46,163],"circuit":[7,152],"analysis":[8,17,62,106],"is":[9,12,22,179],"proposed.":[10],"It":[11],"based":[13],"on":[14],"using":[15,143],"symbolic":[16],"in":[18,66,85,118,124],"matrix":[19],"form,":[20,121],"which":[21,35,67],"especially":[23],"appropriate":[24],"repetitive":[26],"similar":[27],"calculations":[28],"of":[29,51,63,79,88,107,115,137,140],"the":[30,44,48,55,61,68,71,105,108,113,144,151],"same":[31],"circuit.":[32],"This":[33],"method,":[34],"applies":[36],"hyper-complex":[37],"numbers":[38],"(hypernions),":[39],"was":[40],"first":[41],"developed":[42],"by":[43,111,142,171,181],"authors":[45],"analyzing":[47],"non-sinusoidal":[49],"operation":[50],"electrical":[52,126],"circuits.":[53],"Now,":[54],"has":[57],"been":[58],"extended":[59],"to":[60,104,156],"electronic/switching":[64],"circuits":[65,82,110,127,141],"sources":[69],"and/or":[70],"parameters":[72],"are":[73,83],"step-wisely":[74],"changed":[75],"as":[76,92],"result":[78],"switching.":[80],"Such":[81],"common":[84],"different":[86,165],"kinds":[87,139],"DC-DC":[89],"converters":[90],"(such":[91],"Buck,":[93],"Boost,":[94],"Cuk,":[95],"etc.).":[96],"The":[97,135,176],"proposed":[98,145],"gives":[100],"new":[102],"approach":[103],"above":[109],"opening":[112],"possibility":[114],"treating":[116],"them":[117],"general-analytical":[120],"just":[122],"like":[123],"regular":[125],"having":[128],"constant":[130,133],"configuration":[131],"and":[132],"parameters.":[134],"computation":[136],"such":[138],"becomes":[147],"very":[148],"simple,":[149],"since":[150],"does":[153],"not":[154],"have":[155],"be":[157],"analyzed":[158],"many":[159],"times,":[160],"each":[161],"time":[162],"configuration,":[166],"but":[167],"all":[168],"at":[169],"once":[170],"performing":[172],"parallel":[174],"computation.":[175],"theoretical":[177],"presentation":[178],"accompanied":[180],"numerical":[182],"examples.":[183]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}