{"id":"https://openalex.org/W2011864895","doi":"https://doi.org/10.1109/tcsii.2011.2180097","title":"Prediction of Subharmonic Oscillation in Switching Converters Under Different Control Strategies","display_name":"Prediction of Subharmonic Oscillation in Switching Converters Under Different Control Strategies","publication_year":2012,"publication_date":"2012-01-17","ids":{"openalex":"https://openalex.org/W2011864895","doi":"https://doi.org/10.1109/tcsii.2011.2180097","mag":"2011864895"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2011.2180097","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2180097","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5039302980","display_name":"Abdelali El Aroudi","orcid":"https://orcid.org/0000-0001-9103-7762"},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Abdelali El Aroudi","raw_affiliation_strings":["GAEI Research Group, Departament d'Enginyeria Electr\u00f2nica, El\u00e8ctrica i Autom\u00e0tica, Universitat Rovira i Virgili, Tarragona, Spain","Dept. d'Eng. Electron., Electr. i Autom., Univ. Rovira i Virgili, Tarragona, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GAEI Research Group, Departament d'Enginyeria Electr\u00f2nica, El\u00e8ctrica i Autom\u00e0tica, Universitat Rovira i Virgili, Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]},{"raw_affiliation_string":"Dept. d'Eng. Electron., Electr. i Autom., Univ. Rovira i Virgili, Tarragona, Spain","institution_ids":["https://openalex.org/I55952717"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5039302980"],"corresponding_institution_ids":["https://openalex.org/I55952717"],"apc_list":null,"apc_paid":null,"fwci":2.5476,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.89447693,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"61","issue":"11","first_page":"910","last_page":"914"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10175","display_name":"Advanced DC-DC Converters","score":0.9995999932289124,"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/T10175","display_name":"Advanced DC-DC Converters","score":0.9995999932289124,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10228","display_name":"Multilevel Inverters and Converters","score":0.9972000122070312,"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/control-theory","display_name":"Control theory (sociology)","score":0.7545735836029053},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.7225641012191772},{"id":"https://openalex.org/keywords/oscillation","display_name":"Oscillation (cell signaling)","score":0.6622303128242493},{"id":"https://openalex.org/keywords/duty-cycle","display_name":"Duty cycle","score":0.6437077522277832},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.5519848465919495},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4959627091884613},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.4696561396121979},{"id":"https://openalex.org/keywords/expression","display_name":"Expression (computer science)","score":0.4662591218948364},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.46441027522087097},{"id":"https://openalex.org/keywords/subharmonic","display_name":"Subharmonic","score":0.43070706725120544},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41494494676589966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.410597026348114},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2974139451980591},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.24058425426483154},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21366721391677856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16784632205963135},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16420131921768188},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11199498176574707}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7545735836029053},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.7225641012191772},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.6622303128242493},{"id":"https://openalex.org/C199822604","wikidata":"https://www.wikidata.org/wiki/Q557120","display_name":"Duty cycle","level":3,"score":0.6437077522277832},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.5519848465919495},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4959627091884613},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.4696561396121979},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.4662591218948364},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.46441027522087097},{"id":"https://openalex.org/C193687819","wikidata":"https://www.wikidata.org/wiki/Q7631190","display_name":"Subharmonic","level":3,"score":0.43070706725120544},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41494494676589966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.410597026348114},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2974139451980591},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.24058425426483154},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21366721391677856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16784632205963135},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16420131921768188},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11199498176574707},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2011.2180097","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2011.2180097","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1979911436","https://openalex.org/W1991233659","https://openalex.org/W2096619019","https://openalex.org/W2097042603","https://openalex.org/W2109959415","https://openalex.org/W2130396194","https://openalex.org/W2134808087","https://openalex.org/W2135963474","https://openalex.org/W2143279320","https://openalex.org/W2152385167","https://openalex.org/W2155734084","https://openalex.org/W2581927296","https://openalex.org/W3085104407","https://openalex.org/W4229976411","https://openalex.org/W4244001917","https://openalex.org/W6683381618"],"related_works":["https://openalex.org/W2566738005","https://openalex.org/W4287815158","https://openalex.org/W2027014902","https://openalex.org/W631083485","https://openalex.org/W2955962889","https://openalex.org/W4252651742","https://openalex.org/W2013222437","https://openalex.org/W4313452936","https://openalex.org/W2097026685","https://openalex.org/W5725554"],"abstract_inverted_index":{"Subharmonic":[0],"oscillation":[1,94],"is":[2,67,86],"an":[3,41],"undesired":[4],"phenomenon":[5,66],"in":[6,28,62,149],"switching":[7],"converters.":[8],"In":[9],"past":[10],"studies,":[11],"its":[12],"prediction":[13],"has":[14],"been":[15],"mainly":[16],"tackled":[17],"by":[18,69,136],"explicitly":[19,109],"deriving":[20],"a":[21,71,105],"discrete-time":[22],"model":[23],"and":[24,99],"then":[25,100],"linearizing":[26],"it":[27],"the":[29,32,36,90,102,112,116,130,142,154],"vicinity":[30],"of":[31,158],"operating":[33,143],"point.":[34],"However,":[35],"results":[37,117,147],"obtained":[38],"from":[39],"such":[40,53],"approach":[42,75,85],"cannot":[43],"be":[44,78,134],"applied":[45,79],"for":[46,50,80,92,120],"design":[47,121],"purpose":[48],"except":[49],"simple":[51],"cases":[52],"as":[54],"peak":[55],"or":[56],"valley":[57],"current-mode":[58],"control":[59,82],"(CMC).":[60],"Alternatively,":[61],"this":[63,65,150],"brief,":[64],"analyzed":[68],"using":[70,96],"unified":[72],"formal":[73],"symbolic":[74],"that":[76,108],"can":[77,133],"different":[81],"strategies.":[83],"This":[84],"based":[87],"on":[88,111,141],"expressing":[89],"condition":[91,157],"subharmonic":[93],"occurrence":[95],"Fourier":[97],"series":[98],"converting":[101],"result":[103],"into":[104],"matrix-form":[106,131],"expression":[107,132],"depends":[110],"system":[113],"parameters,":[114,129],"making":[115],"directly":[118],"applicable":[119],"purpose.":[122],"Under":[123],"certain":[124],"practical":[125],"conditions":[126],"concerning":[127],"these":[128],"approximated":[135],"standard":[137],"polynomial":[138],"functions":[139],"depending":[140],"duty":[144],"cycle.":[145],"The":[146],"presented":[148],"work":[151],"clearly":[152],"generalize":[153],"well-known":[155],"stability":[156],"peak/valley":[159],"CMC.":[160]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}