{"id":"https://openalex.org/W4409014343","doi":"https://doi.org/10.1109/access.2025.3556334","title":"Numerical Modeling of PMSM Noise Reduction by Harmonic Current Injection","display_name":"Numerical Modeling of PMSM Noise Reduction by Harmonic Current Injection","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4409014343","doi":"https://doi.org/10.1109/access.2025.3556334"},"language":"en","primary_location":{"id":"doi:10.1109/access.2025.3556334","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3556334","pdf_url":null,"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://doi.org/10.1109/access.2025.3556334","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000841823","display_name":"Federico Soresini","orcid":"https://orcid.org/0000-0003-2260-6057"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Federico Soresini","raw_affiliation_strings":["Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2260-6057","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088669331","display_name":"Dario Barri","orcid":"https://orcid.org/0000-0002-7260-2540"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Dario Barri","raw_affiliation_strings":["Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0002-7260-2540","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088168963","display_name":"Federico Ballo","orcid":"https://orcid.org/0000-0002-0557-9889"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Federico Ballo","raw_affiliation_strings":["Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0002-0557-9889","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090090920","display_name":"Massimiliano Gobbi","orcid":"https://orcid.org/0000-0002-2631-8856"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Massimiliano Gobbi","raw_affiliation_strings":["Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy"],"raw_orcid":"https://orcid.org/0000-0002-2631-8856","affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Politecnico di Milano, Via Privata Giuseppe La Masa 1, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5000841823"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":3.1262,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.91239032,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"13","issue":null,"first_page":"60245","last_page":"60257"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12495","display_name":"Electrostatic Discharge in Electronics","score":0.9839000105857849,"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/T12495","display_name":"Electrostatic Discharge in Electronics","score":0.9839000105857849,"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/T10472","display_name":"Semiconductor materials and devices","score":0.9718000292778015,"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/T10377","display_name":"Metal and Thin Film Mechanics","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/reduction","display_name":"Reduction (mathematics)","score":0.6731530427932739},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.6641730666160583},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.6179796457290649},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.5421496629714966},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.5256349444389343},{"id":"https://openalex.org/keywords/noise-reduction","display_name":"Noise reduction","score":0.5254637002944946},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.441597044467926},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3496294617652893},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3127484917640686},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.26841843128204346},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.21444612741470337},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.14303359389305115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13233733177185059},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10730725526809692}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6731530427932739},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.6641730666160583},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.6179796457290649},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.5421496629714966},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.5256349444389343},{"id":"https://openalex.org/C163294075","wikidata":"https://www.wikidata.org/wiki/Q581861","display_name":"Noise reduction","level":2,"score":0.5254637002944946},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.441597044467926},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3496294617652893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3127484917640686},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.26841843128204346},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.21444612741470337},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.14303359389305115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13233733177185059},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10730725526809692},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2025.3556334","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3556334","pdf_url":null,"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:95ba46a8c57d45a4b910980ab8d5d714","is_oa":true,"landing_page_url":"https://doaj.org/article/95ba46a8c57d45a4b910980ab8d5d714","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 13, Pp 60245-60257 (2025)","raw_type":"article"},{"id":"pmh:oai:re.public.polimi.it:11311/1289291","is_oa":true,"landing_page_url":"https://ieeexplore.ieee.org/document/10945837","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1109/access.2025.3556334","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2025.3556334","pdf_url":null,"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":[{"display_name":"Affordable and clean energy","score":0.6700000166893005,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G330418648","display_name":null,"funder_award_id":"Next-GenerationEU (PNRR ? MISS. 4 COMP. 2, INV.","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W588101407","https://openalex.org/W1562133001","https://openalex.org/W2003719095","https://openalex.org/W2013885631","https://openalex.org/W2046749181","https://openalex.org/W2082957476","https://openalex.org/W2083611446","https://openalex.org/W2092258740","https://openalex.org/W2108231310","https://openalex.org/W2500485151","https://openalex.org/W2548102481","https://openalex.org/W2569744861","https://openalex.org/W2600701343","https://openalex.org/W2773769482","https://openalex.org/W2799463179","https://openalex.org/W2799479848","https://openalex.org/W2891860369","https://openalex.org/W2897606680","https://openalex.org/W2903521303","https://openalex.org/W2945511134","https://openalex.org/W2979599060","https://openalex.org/W3006798028","https://openalex.org/W3014727151","https://openalex.org/W3019917117","https://openalex.org/W3028422633","https://openalex.org/W3033143001","https://openalex.org/W3107101796","https://openalex.org/W3116331647","https://openalex.org/W3141960850","https://openalex.org/W3164199385","https://openalex.org/W3173342336","https://openalex.org/W3185938323","https://openalex.org/W3195065645","https://openalex.org/W3202963241","https://openalex.org/W4200372582","https://openalex.org/W4226389327","https://openalex.org/W4281493686","https://openalex.org/W4285300815","https://openalex.org/W4292793845","https://openalex.org/W4295308306","https://openalex.org/W4297094382","https://openalex.org/W4319752429","https://openalex.org/W4377000450","https://openalex.org/W4379620500","https://openalex.org/W4391741239","https://openalex.org/W4396523225","https://openalex.org/W4398151549","https://openalex.org/W4400264134","https://openalex.org/W4400314461","https://openalex.org/W4402050373","https://openalex.org/W4402617709","https://openalex.org/W4403273088","https://openalex.org/W4405517589","https://openalex.org/W4406358772","https://openalex.org/W4406754607"],"related_works":["https://openalex.org/W2587667458","https://openalex.org/W2164070943","https://openalex.org/W2983963786","https://openalex.org/W1861882962","https://openalex.org/W1497667432","https://openalex.org/W2163128389","https://openalex.org/W2121926536","https://openalex.org/W1516921425","https://openalex.org/W2390836177","https://openalex.org/W2568904611"],"abstract_inverted_index":{"In":[0],"this":[1,41],"paper,":[2],"harmonic":[3,73,184],"components":[4],"are":[5,85,100,129,236,264],"injected":[6,182,260],"into":[7],"the":[8,24,50,60,76,81,92,97,103,110,118,121,135,156,175,181,205,214,228,240,243,246,255,259,267,277],"phase":[9,179,200,256],"current":[10,183],"of":[11,75,112,117,180,204,213,221,242,254,258,274],"a":[12,36,147,167,198,202,218,252,271],"Permanent":[13],"Magnet":[14],"Synchronous":[15],"Motor":[16],"(PMSM)":[17],"used":[18,56],"in":[19,64,248],"automotive":[20],"applications":[21],"to":[22,91,95,102,146,163,173,238,266],"improve":[23],"Noise":[25],"Vibration":[26],"and":[27,34,55,68,87,114,132,189,224,230],"Harshness":[28],"(NVH)":[29],"performance.":[30],"The":[31,43,72,126,138,178,211],"study":[32],"proposes":[33],"validates":[35],"numerical":[37,61,127],"method":[38],"for":[39,59,155],"modeling":[40],"phenomenon.":[42],"strategy":[44,123,139,215],"was":[45],"first":[46],"applied":[47,101,141],"experimentally.":[48],"Subsequently,":[49],"experimental":[51,77,136,268],"currents":[52],"were":[53],"measured":[54],"as":[57,89,120,142,174,251],"input":[58],"models":[62,235],"developed":[63],"Flux2D":[65],"(Registered":[66,70],"trademark)":[67],"Abaqus":[69],"trademark).":[71],"contributions":[74],"currents,":[78],"obtained":[79],"from":[80,227],"inverter":[82],"control":[83],"strategy,":[84],"analysed":[86],"adopted":[88],"inputs":[90],"electromagnetic":[93],"model":[94],"calculate":[96],"forces.":[98],"These":[99],"Finite":[104],"Element":[105],"Model":[106],"(FEM),":[107],"which":[108],"returns":[109],"values":[111],"vibration":[113,229,279],"acoustic":[115,206,231,249],"emission":[116,207,250],"motor":[119],"injection":[122],"is":[124,140,152,185,209],"varied.":[125],"results":[128,263],"then":[130],"compared":[131],"validated":[133],"with":[134,270],"data.":[137],"an":[143],"NVH":[144],"countermeasure":[145],"specific":[148,199],"time":[149],"order":[150,160],"that":[151],"particularly":[153],"noisy":[154],"analyzed":[157],"PMSM.":[158],"This":[159],"turns":[161],"out":[162],"be":[164],"dominated":[165],"by":[166],"spatial":[168],"0":[169,188],"mode":[170],"also":[171],"referred":[172],"breathing":[176],"mode.":[177],"varied":[186],"between":[187],"<inline-formula":[190],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[191],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[192],"<tex-math":[193],"notation=\"LaTeX\">$2\\pi":[194],"$":[195],"</tex-math></inline-formula>.":[196],"For":[197],"angle,":[201],"minimum":[203],"level":[208],"reached.":[210],"application":[212],"experimentally":[216],"shows":[217],"maximum":[219,272],"reduction":[220,280],"29":[222],"dB":[223,226],"27":[225],"levels":[232],"respectively.":[233],"Numerical":[234,262],"able":[237],"capture":[239],"physics":[241],"system,":[244],"reproducing":[245],"variation":[247],"function":[253],"angle":[257],"current.":[261],"close":[265],"data,":[269],"difference":[273],"3dB":[275],"on":[276],"optimal":[278],"condition.":[281]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}