{"id":"https://openalex.org/W4414431985","doi":"https://doi.org/10.1109/tie.2025.3594427","title":"Multiple Fourier Series Method for Amplitude-Frequency Characteristics of PWM Pulses With Amplitude-Frequency Time-Varying Modulation Signals","display_name":"Multiple Fourier Series Method for Amplitude-Frequency Characteristics of PWM Pulses With Amplitude-Frequency Time-Varying Modulation Signals","publication_year":2025,"publication_date":"2025-09-23","ids":{"openalex":"https://openalex.org/W4414431985","doi":"https://doi.org/10.1109/tie.2025.3594427"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2025.3594427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3594427","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073040673","display_name":"Yue Cui","orcid":"https://orcid.org/0000-0002-8356-8149"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Cui","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-8356-8149","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085930715","display_name":"Han Peng","orcid":"https://orcid.org/0000-0001-5063-2995"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Han Peng","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-5063-2995","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100769230","display_name":"Sicheng Wang","orcid":"https://orcid.org/0000-0002-4015-523X"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sicheng Wang","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-4015-523X","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26686652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"73","issue":"1","first_page":"730","last_page":"741"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.864799976348877,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T14438","display_name":"Advanced Scientific Research Methods","score":0.864799976348877,"subfield":{"id":"https://openalex.org/subfields/1106","display_name":"Food Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T13493","display_name":"Optical and Acousto-Optic Technologies","score":0.8550000190734863,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14420","display_name":"Advanced Research in Systems and Signal Processing","score":0.8314999938011169,"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/pulse-width-modulation","display_name":"Pulse-width modulation","score":0.7942000031471252},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.7638000249862671},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.6348000168800354},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.6086999773979187},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.6013000011444092},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.5144000053405762},{"id":"https://openalex.org/keywords/pulse-frequency-modulation","display_name":"Pulse-frequency modulation","score":0.47200000286102295},{"id":"https://openalex.org/keywords/frequency-modulation","display_name":"Frequency modulation","score":0.47029998898506165},{"id":"https://openalex.org/keywords/total-harmonic-distortion","display_name":"Total harmonic distortion","score":0.4230000078678131}],"concepts":[{"id":"https://openalex.org/C92746544","wikidata":"https://www.wikidata.org/wiki/Q585184","display_name":"Pulse-width modulation","level":3,"score":0.7942000031471252},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.7638000249862671},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6348000168800354},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.6086999773979187},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.6013000011444092},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.5144000053405762},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.5065000057220459},{"id":"https://openalex.org/C150251571","wikidata":"https://www.wikidata.org/wiki/Q2066418","display_name":"Pulse-frequency modulation","level":5,"score":0.47200000286102295},{"id":"https://openalex.org/C11930861","wikidata":"https://www.wikidata.org/wiki/Q181417","display_name":"Frequency modulation","level":3,"score":0.47029998898506165},{"id":"https://openalex.org/C42156128","wikidata":"https://www.wikidata.org/wiki/Q162641","display_name":"Total harmonic distortion","level":3,"score":0.4230000078678131},{"id":"https://openalex.org/C201905106","wikidata":"https://www.wikidata.org/wiki/Q183755","display_name":"Amplitude modulation","level":4,"score":0.4171999990940094},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.4169999957084656},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40689998865127563},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.3668000102043152},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.3625999987125397},{"id":"https://openalex.org/C20518276","wikidata":"https://www.wikidata.org/wiki/Q186130","display_name":"Pulse-amplitude modulation","level":4,"score":0.35089999437332153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34709998965263367},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.34150001406669617},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.32760000228881836},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3264999985694885},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3222000002861023},{"id":"https://openalex.org/C2776635522","wikidata":"https://www.wikidata.org/wiki/Q11883093","display_name":"Modulation index","level":4,"score":0.314300000667572},{"id":"https://openalex.org/C142433447","wikidata":"https://www.wikidata.org/wiki/Q7806653","display_name":"Time\u2013frequency analysis","level":3,"score":0.30250000953674316},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.2992999851703644},{"id":"https://openalex.org/C58922158","wikidata":"https://www.wikidata.org/wiki/Q598973","display_name":"Pulse-density modulation","level":5,"score":0.2849000096321106},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.28060001134872437},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27790001034736633},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.26750001311302185},{"id":"https://openalex.org/C207717533","wikidata":"https://www.wikidata.org/wiki/Q863505","display_name":"Binary offset carrier modulation","level":5,"score":0.25999999046325684},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25110000371932983}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2025.3594427","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3594427","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3411641752","display_name":null,"funder_award_id":"U23B6008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1973442215","https://openalex.org/W1983772497","https://openalex.org/W1993958328","https://openalex.org/W2087653623","https://openalex.org/W2142387164","https://openalex.org/W2146806231","https://openalex.org/W2161857313","https://openalex.org/W2592578862","https://openalex.org/W2789155417","https://openalex.org/W2791193733","https://openalex.org/W2929333920","https://openalex.org/W2975652362","https://openalex.org/W3026380789","https://openalex.org/W3033581805","https://openalex.org/W3119619822","https://openalex.org/W3141456309","https://openalex.org/W3216003845","https://openalex.org/W4214943403","https://openalex.org/W4230278603","https://openalex.org/W4288785913","https://openalex.org/W4313546883","https://openalex.org/W4385223179","https://openalex.org/W4407926571"],"related_works":[],"abstract_inverted_index":{"With":[0],"increasing":[1],"penetration":[2],"of":[3,32,45,116,129,157,188],"renewable":[4],"energy":[5],"generation":[6,29],"and":[7,13,19,26,30,36,59,81,92,133,140,149,177],"power":[8,23],"electronic":[9],"converters,":[10],"waveform":[11],"distortion":[12],"resonance":[14],"related":[15],"to":[16,56],"high-frequency":[17,33],"harmonics":[18,35],"interharmonics":[20,37],"increasingly":[21],"affect":[22],"grid":[24,34],"quality":[25],"stability.":[27],"The":[28],"characteristics":[31,143],"are":[38,95,152],"correlated":[39],"with":[40,48,68,183],"pulse":[41],"width":[42],"modulation":[43,52,71,101,130],"(PWM)":[44],"grid-integrated":[46],"converters":[47],"amplitude\u2013frequency":[49],"(A\u2013F)":[50],"interfered":[51],"signals.":[53,72],"However,":[54],"due":[55],"the":[57,85,89,126,137],"applicability":[58,156],"precision,":[60],"prior":[61],"PWM":[62,90,109,138],"analysis":[63,94,110],"methods":[64],"cannot":[65],"effectively":[66],"deal":[67],"A\u2013F":[69,99,147],"time-varying":[70,100],"To":[73,154],"solve":[74],"this":[75,104,158],"issue,":[76],"focusing":[77],"on":[78,113,136],"small":[79,146],"harmonic":[80],"interharmonic":[82],"disturbances":[83],"near":[84],"steady":[86],"operating":[87],"state,":[88],"modeling":[91],"characteristic":[93],"carried":[96],"out":[97],"for":[98],"signals":[102],"in":[103],"article.":[105],"Multiple":[106],"Fourier":[107,163],"series":[108,164],"method":[111,167,190],"based":[112],"decomposition":[114],"principle":[115],"multivariate":[117],"periodic":[118],"function":[119],"is":[120,168,191],"proposed,":[121,170],"which":[122,171],"can":[123],"explicitly":[124],"characterize":[125],"impact":[127],"mechanism":[128],"signal":[131,135],"components":[132],"carrier":[134,150],"amplitude":[139],"frequency.":[141],"Coupling":[142],"among":[144],"fundamental,":[145],"interference":[148],"frequencies":[151],"clarified.":[153],"enhance":[155],"method,":[159],"an":[160],"improved":[161],"multiple":[162,175],"coefficient":[165],"calculation":[166],"further":[169],"does":[172],"not":[173],"require":[174],"integrals,":[176],"has":[178],"lower":[179],"computational":[180],"burden":[181],"compared":[182],"traditional":[184],"method.":[185],"Finally,":[186],"effectiveness":[187],"proposed":[189],"verified":[192],"by":[193],"experiment.":[194]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
