{"id":"https://openalex.org/W4248900422","doi":"https://doi.org/10.1109/iecon43393.2020.9255228","title":"Harmonic Plane Decomposition: An Extension of the Vector-Space Decomposition - Part I","display_name":"Harmonic Plane Decomposition: An Extension of the Vector-Space Decomposition - Part I","publication_year":2020,"publication_date":"2020-10-18","ids":{"openalex":"https://openalex.org/W4248900422","doi":"https://doi.org/10.1109/iecon43393.2020.9255228"},"language":"en","primary_location":{"id":"doi:10.1109/iecon43393.2020.9255228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iecon43393.2020.9255228","pdf_url":null,"source":{"id":"https://openalex.org/S4363608618","display_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://kth.diva-portal.org/smash/get/diva2:1501249/FULLTEXT01","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080661971","display_name":"Yixuan Wu","orcid":"https://orcid.org/0000-0003-4393-8990"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Yixuan Wu","raw_affiliation_strings":["Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033769724","display_name":"Gustaf Falk Olson","orcid":"https://orcid.org/0000-0001-6042-2975"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Gustaf Falk Olson","raw_affiliation_strings":["Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066579551","display_name":"Luca Peretti","orcid":"https://orcid.org/0000-0001-6831-3474"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Luca Peretti","raw_affiliation_strings":["Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031121509","display_name":"Oskar Wallmark","orcid":"https://orcid.org/0000-0002-6283-7661"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Oskar Wallmark","raw_affiliation_strings":["Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Electric Power and Energy Systems, KTH Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":4.6414,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.96543698,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"985","last_page":"990"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10228","display_name":"Multilevel Inverters and Converters","score":0.9998999834060669,"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/T10228","display_name":"Multilevel Inverters and Converters","score":0.9998999834060669,"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/T10278","display_name":"Electric Motor Design and Analysis","score":0.9994000196456909,"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/T10504","display_name":"Sensorless Control of Electric Motors","score":0.9965999722480774,"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/harmonic","display_name":"Harmonic","score":0.6551653742790222},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.6407318115234375},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.6173259019851685},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5590982437133789},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5558362007141113},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.524103045463562},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5102813243865967},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.48197025060653687},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.44806328415870667},{"id":"https://openalex.org/keywords/decomposition-method","display_name":"Decomposition method (queueing theory)","score":0.42266497015953064},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4096972346305847},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39248326420783997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3900045156478882},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3880023658275604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3704397678375244},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3589223027229309},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2121969759464264},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17668187618255615},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.13600534200668335},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11994192004203796},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09294864535331726},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08005967736244202},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.08003181219100952},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.0723642110824585}],"concepts":[{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.6551653742790222},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6407318115234375},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.6173259019851685},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5590982437133789},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5558362007141113},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.524103045463562},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5102813243865967},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.48197025060653687},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.44806328415870667},{"id":"https://openalex.org/C2778258933","wikidata":"https://www.wikidata.org/wiki/Q16918986","display_name":"Decomposition method (queueing theory)","level":2,"score":0.42266497015953064},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4096972346305847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39248326420783997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3900045156478882},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3880023658275604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3704397678375244},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3589223027229309},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2121969759464264},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17668187618255615},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.13600534200668335},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11994192004203796},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09294864535331726},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08005967736244202},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.08003181219100952},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0723642110824585},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","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},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/iecon43393.2020.9255228","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iecon43393.2020.9255228","pdf_url":null,"source":{"id":"https://openalex.org/S4363608618","display_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IECON 2020 The 46th Annual Conference of the IEEE Industrial Electronics Society","raw_type":"proceedings-article"},{"id":"pmh:oai:DiVA.org:kth-285958","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-285958","pdf_url":"https://kth.diva-portal.org/smash/get/diva2:1501249/FULLTEXT01","source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:DiVA.org:kth-285958","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-285958","pdf_url":"https://kth.diva-portal.org/smash/get/diva2:1501249/FULLTEXT01","source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4248900422.pdf","grobid_xml":"https://content.openalex.org/works/W4248900422.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1490404182","https://openalex.org/W1990311797","https://openalex.org/W2081371751","https://openalex.org/W2137725386","https://openalex.org/W2288591208","https://openalex.org/W2289296849","https://openalex.org/W2725441286","https://openalex.org/W2771612843","https://openalex.org/W2954947984","https://openalex.org/W2991831408","https://openalex.org/W3015807498","https://openalex.org/W3029408006","https://openalex.org/W4234369694","https://openalex.org/W4252234711","https://openalex.org/W6777735855"],"related_works":["https://openalex.org/W4224306892","https://openalex.org/W2587667458","https://openalex.org/W2568904611","https://openalex.org/W1990381924","https://openalex.org/W2164070943","https://openalex.org/W2983963786","https://openalex.org/W1861882962","https://openalex.org/W1497667432","https://openalex.org/W2163128389","https://openalex.org/W2121926536"],"abstract_inverted_index":{"In":[0,22,134],"this":[1,56,139],"first":[2],"paper":[3,57],"of":[4,18,38,62,98,121,128,138,151],"a":[5,35,69,95],"two-part":[6],"series,":[7,140],"the":[8,19,30,43,46,74,80,85,106,119,135,141],"harmonic":[9,100,142],"plane":[10,143],"decomposition":[11,32,144],"is":[12,15,58,114],"introduced,":[13],"which":[14,104],"an":[16],"extension":[17],"vector-space":[20,31],"decomposition.":[21],"multiphase":[23,122],"electrical":[24,123],"machines":[25,124,130],"with":[26],"variable":[27],"phase-pole":[28,91],"configurations,":[29],"leads":[33],"to":[34,68,118],"varying":[36],"numbers":[37],"vector":[39],"spaces":[40],"when":[41],"changing":[42],"configuration.":[44,82],"Consequently,":[45],"model":[47],"and":[48],"current":[49,107],"control":[50,108],"become":[51],"discontinuous.":[52],"The":[53,111],"method":[54,113],"in":[55,73],"based":[59],"on":[60],"samples":[61],"each":[63],"single":[64],"slot":[65],"currents,":[66],"similarly":[67],"discrete":[70],"Fourier":[71],"transformation":[72,87],"space":[75],"domain":[76],"that":[77,94],"accounts":[78],"for":[79,88,148],"winding":[81],"It":[83],"unifies":[84],"Clarke":[86],"all":[89,126,149],"possible":[90],"configurations":[92],"such":[93],"fixed":[96],"number":[97],"orthogonal":[99],"planes":[101],"are":[102],"created,":[103],"facilitates":[105],"during":[109],"reconfigurations.":[110],"presented":[112],"not":[115],"only":[116],"limited":[117],"modeling":[120],"but":[125],"kinds":[127],"existing":[129],"can":[131],"be":[132,146],"modeled.":[133],"second":[136],"part":[137],"will":[145],"completed":[147],"types":[150],"machine":[152],"configurations.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
