{"id":"https://openalex.org/W3190177792","doi":"https://doi.org/10.1109/access.2021.3104184","title":"A Fast Convergent Homotopy Perturbation Method for Solving Selective Harmonics Elimination PWM Problem in Multi Level Inverter","display_name":"A Fast Convergent Homotopy Perturbation Method for Solving Selective Harmonics Elimination PWM Problem in Multi Level Inverter","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3190177792","doi":"https://doi.org/10.1109/access.2021.3104184","mag":"3190177792"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3104184","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3104184","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09511423.pdf","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://ieeexplore.ieee.org/ielx7/6287639/6514899/09511423.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5006902649","display_name":"Salman Ahmad","orcid":"https://orcid.org/0000-0003-0281-8220"},"institutions":[{"id":"https://openalex.org/I4264650","display_name":"Islamic University of Science and Technology","ror":"https://ror.org/02kdtt649","country_code":"IN","type":"education","lineage":["https://openalex.org/I4264650"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Salman Ahmad","raw_affiliation_strings":["Department of Electrical Engineering, Islamic University of Science and Technology, Jammu and Kashmir, Awantipora, India"],"raw_orcid":"https://orcid.org/0000-0003-0281-8220","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Islamic University of Science and Technology, Jammu and Kashmir, Awantipora, India","institution_ids":["https://openalex.org/I4264650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006136125","display_name":"Atif Iqbal","orcid":"https://orcid.org/0000-0002-6932-4367"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Atif Iqbal","raw_affiliation_strings":["Department of Electrical Engineering, Qatar University, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0002-6932-4367","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Qatar University, Doha, Qatar","institution_ids":["https://openalex.org/I60342839"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067421441","display_name":"Ali Mohammad","orcid":"https://orcid.org/0000-0002-4222-9589"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mohammad Ali","raw_affiliation_strings":["Department of Electrical Engineering, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh, India"],"raw_orcid":"https://orcid.org/0000-0002-4222-9589","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101876384","display_name":"Khaliqur Rahman","orcid":"https://orcid.org/0000-0003-4315-9583"},"institutions":[{"id":"https://openalex.org/I171210897","display_name":"Aligarh Muslim University","ror":"https://ror.org/03kw9gc02","country_code":"IN","type":"education","lineage":["https://openalex.org/I171210897"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Khaliqur Rahman","raw_affiliation_strings":["Department of Electrical Engineering, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh, India"],"raw_orcid":"https://orcid.org/0000-0003-4315-9583","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Zakir Husain College of Engineering and Technology, Aligarh Muslim University, Aligarh, India","institution_ids":["https://openalex.org/I171210897"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080276275","display_name":"Abdellahi Sidi Ahmed","orcid":"https://orcid.org/0000-0002-8315-4931"},"institutions":[{"id":"https://openalex.org/I60342839","display_name":"Qatar University","ror":"https://ror.org/00yhnba62","country_code":"QA","type":"education","lineage":["https://openalex.org/I60342839"]}],"countries":["QA"],"is_corresponding":false,"raw_author_name":"Abdellahi Sidi Ahmed","raw_affiliation_strings":["Department of Electrical Engineering, Qatar University, Doha, Qatar"],"raw_orcid":"https://orcid.org/0000-0002-8315-4931","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Qatar University, Doha, Qatar","institution_ids":["https://openalex.org/I60342839"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1516,"currency":"EUR","value_usd":1635},"fwci":3.4579,"has_fulltext":true,"cited_by_count":41,"citation_normalized_percentile":{"value":0.93127909,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"9","issue":null,"first_page":"113040","last_page":"113051"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10228","display_name":"Multilevel Inverters and Converters","score":1.0,"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":1.0,"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/T10175","display_name":"Advanced DC-DC Converters","score":0.9980999827384949,"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":0.9955000281333923,"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":0.8001400232315063},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.6303118467330933},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5532983541488647},{"id":"https://openalex.org/keywords/waveform","display_name":"Waveform","score":0.5107400417327881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5062028765678406},{"id":"https://openalex.org/keywords/modulation-index","display_name":"Modulation index","score":0.4981038570404053},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.4907864034175873},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.463763952255249},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.41727566719055176},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4043177366256714},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.38371530175209045},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.33665427565574646},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3059813976287842},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1142684817314148},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11114582419395447}],"concepts":[{"id":"https://openalex.org/C92746544","wikidata":"https://www.wikidata.org/wiki/Q585184","display_name":"Pulse-width modulation","level":3,"score":0.8001400232315063},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.6303118467330933},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5532983541488647},{"id":"https://openalex.org/C197424946","wikidata":"https://www.wikidata.org/wiki/Q1165717","display_name":"Waveform","level":3,"score":0.5107400417327881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5062028765678406},{"id":"https://openalex.org/C2776635522","wikidata":"https://www.wikidata.org/wiki/Q11883093","display_name":"Modulation index","level":4,"score":0.4981038570404053},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.4907864034175873},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.463763952255249},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.41727566719055176},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4043177366256714},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.38371530175209045},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.33665427565574646},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3059813976287842},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1142684817314148},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11114582419395447},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/access.2021.3104184","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3104184","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09511423.pdf","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:5ca0af896faa47b1be5e5332c12363b3","is_oa":true,"landing_page_url":"https://doaj.org/article/5ca0af896faa47b1be5e5332c12363b3","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 9, Pp 113040-113051 (2021)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/24038946","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_Fast_Convergent_Homotopy_Perturbation_Method_for_Solving_Selective_Harmonics_Elimination_PWM_Problem_in_Multi_Level_Inverter/24038946","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"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":"","raw_type":"Text"},{"id":"pmh:oai:qspace.qu.edu.qa:10576/57735","is_oa":false,"landing_page_url":"http://hdl.handle.net/10576/57735","pdf_url":null,"source":{"id":"https://openalex.org/S4306400014","display_name":"Qatar University QSpace (Qatar University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60342839","host_organization_name":"Qatar University","host_organization_lineage":["https://openalex.org/I60342839"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3104184","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3104184","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09511423.pdf","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":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G6603576597","display_name":null,"funder_award_id":"#[M-CTPCENG-2020-2]","funder_id":"https://openalex.org/F4320322472","funder_display_name":"Qatar University"}],"funders":[{"id":"https://openalex.org/F4320322472","display_name":"Qatar University","ror":"https://ror.org/00yhnba62"},{"id":"https://openalex.org/F4320334468","display_name":"Qatar National Library","ror":"https://ror.org/02jv93662"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W50271627","https://openalex.org/W1963852410","https://openalex.org/W1987104796","https://openalex.org/W1987592894","https://openalex.org/W1988016841","https://openalex.org/W1990034734","https://openalex.org/W2004815131","https://openalex.org/W2020099750","https://openalex.org/W2030973541","https://openalex.org/W2071127551","https://openalex.org/W2071835425","https://openalex.org/W2084479716","https://openalex.org/W2099182790","https://openalex.org/W2109222360","https://openalex.org/W2110813512","https://openalex.org/W2126157269","https://openalex.org/W2163283007","https://openalex.org/W2165856152","https://openalex.org/W2172902494","https://openalex.org/W2180636195","https://openalex.org/W2501119887","https://openalex.org/W2507034709","https://openalex.org/W2752539900","https://openalex.org/W2789618213","https://openalex.org/W2805439092","https://openalex.org/W2805914395","https://openalex.org/W2900948026","https://openalex.org/W2902462999","https://openalex.org/W2915986658","https://openalex.org/W2953556851","https://openalex.org/W2965876233","https://openalex.org/W2971517188","https://openalex.org/W3003235515","https://openalex.org/W3046522690","https://openalex.org/W3092124795","https://openalex.org/W3106468752","https://openalex.org/W3134508535","https://openalex.org/W3143632840","https://openalex.org/W3159412649","https://openalex.org/W4250729799","https://openalex.org/W6792357043"],"related_works":["https://openalex.org/W4321463740","https://openalex.org/W2076654056","https://openalex.org/W2007601225","https://openalex.org/W1971689191","https://openalex.org/W2919266596","https://openalex.org/W3030580163","https://openalex.org/W2032239160","https://openalex.org/W2944541163","https://openalex.org/W1545539977","https://openalex.org/W2811076315"],"abstract_inverted_index":{"Pulse":[0],"width":[1],"modulation":[2,179],"(PWM)":[3],"control":[4],"for":[5,75,84,132,204],"power":[6,23],"converters":[7],"have":[8,81,191],"been":[9,82,192],"vastly":[10],"investigated":[11],"and":[12,21,95,186],"used":[13],"in":[14,64,69,109,177],"many":[15],"industrial":[16],"application.":[17],"For":[18],"medium":[19],"voltage":[20],"high":[22,33],"applications,":[24],"low":[25,40],"switching":[26,34,41,59,77,87,102,130,172,189],"frequency":[27],"PWM":[28,36,43,67],"techniques":[29],"are":[30],"preferred":[31],"over":[32],"frequency-based":[35,42],"techniques.":[37,97],"The":[38,61,140,163],"preprogrammed":[39],"technique":[44,146,165],"known":[45],"as":[46,148,150],"selective":[47],"harmonics":[48],"elimination":[49],"(SHE)":[50],"gives":[51],"the":[52,99,110,144,153,160,168,187,202],"better":[53],"quality":[54],"waveform":[55],"at":[56,136],"a":[57,106,118,133,137],"lower":[58],"frequency.":[60],"main":[62],"difficulty":[63],"applying":[65],"SHE":[66,113],"is":[68,104,126,147,184],"solving":[70],"of":[71,86,101,112,171],"non-linear":[72],"transcendental":[73],"equations":[74],"obtaining":[76],"angles.":[78],"Several":[79],"methods":[80,155],"proposed":[83,127,145,164],"computation":[85,100],"angles":[88,103,131,173,190],"that":[89],"include":[90],"numerical":[91],"techniques,":[92,94],"optimization":[93],"algebraic":[96,154],"However,":[98],"still":[105],"challenging":[107],"task":[108],"application":[111],"PWM.":[114],"In":[115],"this":[116],"paper,":[117],"novel":[119],"fast":[120],"convergent":[121],"homotopy":[122],"perturbation":[123],"method":[124],"(HPM)":[125],"to":[128,200],"compute":[129,167],"multilevel":[134],"inverter":[135],"faster":[138],"rate.":[139],"solutions":[141,176],"obtained":[142,151],"by":[143,152],"accurate":[149],"with":[156,174],"no":[157],"dependency":[158],"on":[159],"initial":[161],"guess.":[162],"can":[166],"higher":[169],"number":[170],"multiple":[175],"some":[178],"index":[180],"range.":[181],"A":[182],"prototype":[183],"developed":[185],"computed":[188],"verified":[193],"using":[194],"field-programmable":[195],"gate":[196],"arrays":[197],"(FPGA)":[198],"controller":[199],"validate":[201],"results":[203],"practical":[205],"applications.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}