{"id":"https://openalex.org/W4396782887","doi":"https://doi.org/10.1109/access.2024.3398772","title":"Electromagnetic Transient Simulation Algorithm for Nonlinear Elements Based on Rosenbrock Numerical Integration Method","display_name":"Electromagnetic Transient Simulation Algorithm for Nonlinear Elements Based on Rosenbrock Numerical Integration Method","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4396782887","doi":"https://doi.org/10.1109/access.2024.3398772"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3398772","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3398772","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10526246.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":null,"license_id":null,"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/ielx7/6287639/6514899/10526246.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101821052","display_name":"Jing Ye","orcid":"https://orcid.org/0000-0002-1431-7135"},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jing Ye","raw_affiliation_strings":["College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021382103","display_name":"Jianghai Xie","orcid":"https://orcid.org/0009-0006-9285-9155"},"institutions":[{"id":"https://openalex.org/I161350542","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77","country_code":"CN","type":"education","lineage":["https://openalex.org/I161350542"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jihao Xie","raw_affiliation_strings":["College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, China"],"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and New Energy, China Three Gorges University, Yichang, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100424378","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0001-8784-7658"},"institutions":[{"id":"https://openalex.org/I4210126065","display_name":"Shanghai Electric (China)","ror":"https://ror.org/0314qy595","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210126065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Wang","raw_affiliation_strings":["State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]},{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100425205","display_name":"Liang Zhang","orcid":"https://orcid.org/0000-0002-3840-185X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liang Zhang","raw_affiliation_strings":["State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102514175","display_name":"Binshan Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Binshan Li","raw_affiliation_strings":["State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102662522","display_name":"Jinwei Lv","orcid":null},"institutions":[{"id":"https://openalex.org/I4210126065","display_name":"Shanghai Electric (China)","ror":"https://ror.org/0314qy595","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210126065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinwei Lv","raw_affiliation_strings":["State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]},{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100343439","display_name":"Ke Li","orcid":"https://orcid.org/0000-0001-5467-7218"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ke Li","raw_affiliation_strings":["State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101351152","display_name":"Shengpeng Jin","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shengpeng Jin","raw_affiliation_strings":["State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Qinghai Electric Power Company, UHV Company, Xining, Qinghai, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100725972","display_name":"Yang Xu","orcid":"https://orcid.org/0000-0002-5869-1890"},"institutions":[{"id":"https://openalex.org/I4210126065","display_name":"Shanghai Electric (China)","ror":"https://ror.org/0314qy595","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210126065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Xu","raw_affiliation_strings":["State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]},{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101897869","display_name":"Wei Ma","orcid":"https://orcid.org/0000-0001-6854-0191"},"institutions":[{"id":"https://openalex.org/I4210126065","display_name":"Shanghai Electric (China)","ror":"https://ror.org/0314qy595","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210126065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Ma","raw_affiliation_strings":["State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company, UHV Converter Station Branch, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]},{"raw_affiliation_string":"State Grid Shanghai Municipal Power Company UHV Converter Station Branch, Shanghai, Shanghai, China","institution_ids":["https://openalex.org/I4210126065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":10,"corresponding_author_ids":["https://openalex.org/A5101821052"],"corresponding_institution_ids":["https://openalex.org/I161350542"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.395,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80284848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"12","issue":null,"first_page":"66981","last_page":"66992"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T12810","display_name":"Real-time simulation and control systems","score":0.9991999864578247,"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/T10787","display_name":"Lightning and Electromagnetic Phenomena","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9973000288009644,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.8566690683364868},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.7240880727767944},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6051816940307617},{"id":"https://openalex.org/keywords/numerical-integration","display_name":"Numerical integration","score":0.6035923361778259},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5551674365997314},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.515654444694519},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4746083617210388},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4138299226760864},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.41098088026046753},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30696165561676025},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19538035988807678}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.8566690683364868},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.7240880727767944},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6051816940307617},{"id":"https://openalex.org/C127349201","wikidata":"https://www.wikidata.org/wiki/Q753445","display_name":"Numerical integration","level":2,"score":0.6035923361778259},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5551674365997314},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.515654444694519},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4746083617210388},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4138299226760864},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.41098088026046753},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30696165561676025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19538035988807678},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3398772","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3398772","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10526246.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:75d0d585b1ec4d20855b90fe38c3bbe4","is_oa":true,"landing_page_url":"https://doaj.org/article/75d0d585b1ec4d20855b90fe38c3bbe4","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 12, Pp 66981-66992 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3398772","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3398772","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10526246.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8759184563","display_name":null,"funder_award_id":"52090V230002","funder_id":"https://openalex.org/F4320326707","funder_display_name":"State Grid Corporation of China"},{"id":"https://openalex.org/G97188284","display_name":null,"funder_award_id":"52090V230002","funder_id":"https://openalex.org/F4320336631","funder_display_name":"State Grid Shanghai Municipal Electric Power Company"}],"funders":[{"id":"https://openalex.org/F4320326707","display_name":"State Grid Corporation of China","ror":"https://ror.org/05twwhs70"},{"id":"https://openalex.org/F4320336631","display_name":"State Grid Shanghai Municipal Electric Power Company","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4396782887.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1964070472","https://openalex.org/W2023424931","https://openalex.org/W2029049318","https://openalex.org/W2121696014","https://openalex.org/W2149251376","https://openalex.org/W2475125970","https://openalex.org/W2514676105","https://openalex.org/W2579119731","https://openalex.org/W2790570259","https://openalex.org/W3153577975","https://openalex.org/W3173517332","https://openalex.org/W4240644579","https://openalex.org/W4293218353","https://openalex.org/W4382876986"],"related_works":["https://openalex.org/W2007405763","https://openalex.org/W3136087161","https://openalex.org/W1486373823","https://openalex.org/W2119578520","https://openalex.org/W2053762185","https://openalex.org/W2913611334","https://openalex.org/W1984283682","https://openalex.org/W1965257389","https://openalex.org/W2018238589","https://openalex.org/W2375378023"],"abstract_inverted_index":{"Traditional":[0],"nonlinear":[1,30,69,195],"elements":[2,31,70],"of":[3,29,68,88,98,137,153,176,188],"the":[4,11,17,27,34,46,66,77,81,96,99,113,118,130,135,138,151,154,157,161,173,177,184,189],"electromagnetic":[5,197],"transient":[6,198],"simulation":[7,199],"program":[8],"(EMTP)":[9],"use":[10],"numerical":[12,106],"integration":[13,19,49,115,132,179],"method,":[14,50,169],"often":[15],"employing":[16],"trapezoidal":[18],"method":[20,108],"as":[21,65],"an":[22,86,167],"implicit":[23],"algorithm.":[24,180],"However,":[25,64],"when":[26],"number":[28,67],"is":[32,109,125,141,164],"high,":[33],"iterative":[35],"format":[36,42],"becomes":[37,73],"computationally":[38],"cumbersome.":[39],"The":[40,146,181],"semi-implicit":[41],"algorithms,":[43],"based":[44],"on":[45],"Rosenbrock":[47,178],"real-time":[48],"do":[51],"not":[52],"require":[53],"iterations":[54],"and":[55,92,123,134,160,186],"can":[56,149],"be":[57],"applied":[58],"directly":[59],"in":[60,85],"a":[61,104],"recursive":[62],"manner.":[63],"increases,":[71],"it":[72],"necessary":[74],"to":[75,127,166],"invert":[76],"matrix":[78,155],"that":[79],"contains":[80],"Jacobian":[82,158],"matrix,":[83,159],"resulting":[84],"increase":[87],"both":[89],"algorithmic":[90],"computation":[91],"inversion":[93],"time":[94],"with":[95,121],"dimensionality":[97],"system.":[100],"In":[101],"this":[102],"paper,":[103],"new":[105,147],"solution":[107],"adopted,":[110],"which":[111,170],"combines":[112],"precise":[114],"method.":[116],"Specifically,":[117],"Calahan":[119,139],"algorithm,":[120],"2-stage":[122],"3-order,":[124],"used":[126],"numerically":[128],"integrate":[129],"Duhamel":[131],"terms,":[133],"accuracy":[136,187],"algorithm":[140,148,190],"enhanced":[142],"through":[143],"Richardson":[144],"extrapolation.":[145],"avoid":[150],"inverse":[152],"containing":[156],"computational":[162,174],"efficiency":[163,175],"equivalent":[165],"explicit":[168],"greatly":[171],"improves":[172],"results":[182],"verify":[183],"effectiveness":[185],"for":[191],"typical":[192],"power":[193],"system":[194],"element":[196],"cases.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}
