{"id":"https://openalex.org/W4285289229","doi":"https://doi.org/10.1109/tie.2022.3172780","title":"Truncation Number Selection of Harmonic State-Space Model Based on the Floquet Characteristic Exponent","display_name":"Truncation Number Selection of Harmonic State-Space Model Based on the Floquet Characteristic Exponent","publication_year":2022,"publication_date":"2022-05-11","ids":{"openalex":"https://openalex.org/W4285289229","doi":"https://doi.org/10.1109/tie.2022.3172780"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2022.3172780","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3172780","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/A5101833769","display_name":"Jianhang Zhu","orcid":"https://orcid.org/0000-0003-0698-7064"},"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":true,"raw_author_name":"Jianhang Zhu","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","Institute of Artificial Intelligence, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]},{"raw_affiliation_string":"Institute of Artificial Intelligence, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022681242","display_name":"Zeren Guo","orcid":"https://orcid.org/0000-0003-2453-6232"},"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":"Zeren Guo","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, 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/A5001987449","display_name":"Jiabing Hu","orcid":"https://orcid.org/0000-0002-3670-3029"},"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":"Jiabing Hu","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, 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/A5102056167","display_name":"Shicong Ma","orcid":"https://orcid.org/0009-0007-9308-5486"},"institutions":[{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]},{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shicong Ma","raw_affiliation_strings":["China Electric Power Research Institute, Beijing, China"],"affiliations":[{"raw_affiliation_string":"China Electric Power Research Institute, Beijing, China","institution_ids":["https://openalex.org/I153473198","https://openalex.org/I4392738113"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038274634","display_name":"Jianbo Guo","orcid":"https://orcid.org/0000-0003-2349-1757"},"institutions":[{"id":"https://openalex.org/I4392738113","display_name":"China Electric Power Research Institute","ror":"https://ror.org/05ehpzy81","country_code":null,"type":"facility","lineage":["https://openalex.org/I17442442","https://openalex.org/I4392738113"]},{"id":"https://openalex.org/I153473198","display_name":"North China Electric Power University","ror":"https://ror.org/04qr5t414","country_code":"CN","type":"education","lineage":["https://openalex.org/I153473198"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianbo Guo","raw_affiliation_strings":["China Electric Power Research Institute, Beijing, China"],"affiliations":[{"raw_affiliation_string":"China Electric Power Research Institute, Beijing, China","institution_ids":["https://openalex.org/I153473198","https://openalex.org/I4392738113"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5101833769"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":2.5615,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.89818698,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"70","issue":"3","first_page":"3222","last_page":"3228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11102","display_name":"HVDC Systems and Fault Protection","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/T11102","display_name":"HVDC Systems and Fault Protection","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/T14502","display_name":"High-Voltage Power Transmission Systems","score":0.9986000061035156,"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":0.9973000288009644,"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/floquet-theory","display_name":"Floquet theory","score":0.8873469233512878},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6016387939453125},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5477950572967529},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5009064674377441},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.48776012659072876},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4713838994503021},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4707180857658386},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.4521298110485077},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.4365469813346863},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.4138493537902832},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36242803931236267},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34488242864608765},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15676599740982056},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1437997817993164},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08474665880203247}],"concepts":[{"id":"https://openalex.org/C55649039","wikidata":"https://www.wikidata.org/wiki/Q902618","display_name":"Floquet theory","level":3,"score":0.8873469233512878},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6016387939453125},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5477950572967529},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5009064674377441},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.48776012659072876},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4713838994503021},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4707180857658386},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.4521298110485077},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.4365469813346863},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.4138493537902832},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36242803931236267},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34488242864608765},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15676599740982056},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1437997817993164},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08474665880203247},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2022.3172780","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3172780","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":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8399999737739563}],"awards":[{"id":"https://openalex.org/G101149834","display_name":null,"funder_award_id":"52107196","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3535685105","display_name":null,"funder_award_id":"2021M701314","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320335967","display_name":"Science and Technology Project of State Grid","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W592139942","https://openalex.org/W2093036603","https://openalex.org/W2443148919","https://openalex.org/W2622942885","https://openalex.org/W2806559440","https://openalex.org/W2830390047","https://openalex.org/W2937192347","https://openalex.org/W2983924263","https://openalex.org/W2998219635","https://openalex.org/W3007605815","https://openalex.org/W3048512071","https://openalex.org/W3081477644","https://openalex.org/W3184614747","https://openalex.org/W3193393243"],"related_works":["https://openalex.org/W1488175704","https://openalex.org/W4286849939","https://openalex.org/W2990905476","https://openalex.org/W3217258686","https://openalex.org/W4383815106","https://openalex.org/W4386135338","https://openalex.org/W3158508387","https://openalex.org/W2911825792","https://openalex.org/W2131815370","https://openalex.org/W2954073033"],"abstract_inverted_index":{"Harmonic":[0],"state-space":[1,33],"(HSS)":[2],"theory":[3],"has":[4,82],"been":[5],"an":[6,92],"effective":[7],"method":[8,57,68],"for":[9,58],"studying":[10],"system":[11,95],"stability":[12],"with":[13,96],"time-periodic":[14,79],"characteristics,":[15],"such":[16],"as":[17],"modular":[18],"multilevel":[19],"converters":[20],"(MMCs)":[21],"and":[22],"renewable":[23],"power":[24],"generation":[25],"under":[26],"unbalanced":[27],"grid":[28],"conditions.":[29],"However,":[30],"the":[31,36,59,66,72,77,101,104],"original":[32],"formulation":[34],"of":[35,65,76,91,103],"HSS":[37,60],"model":[38],"comprises":[39],"infinite-dimensional":[40],"matrices.":[41],"Truncation":[42],"is":[43,69],"necessary":[44],"before":[45],"practical":[46],"computing":[47],"application.":[48],"Therefore,":[49],"this":[50],"letter":[51],"proposes":[52],"a":[53,83,88],"truncation":[54],"number":[55],"selection":[56],"model.":[61],"The":[62],"theoretical":[63],"basis":[64],"proposed":[67,105],"based":[70],"on":[71],"Floquet":[73],"characteristic":[74],"exponent":[75],"linear":[78],"model,":[80],"which":[81],"straightforward":[84],"physical":[85],"meaning.":[86],"Finally,":[87],"case":[89],"study":[90],"MMC":[93],"grid-tied":[94],"tests":[97],"in":[98],"RT-LAB":[99],"illustrates":[100],"validity":[102],"method.":[106]},"counts_by_year":[{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}