{"id":"https://openalex.org/W2947164571","doi":"https://doi.org/10.3390/sym11050721","title":"Fast Calculation Method for Transient Response of Transmission Line Based on Chebyshev Pseudospectral\u2013Two-Step Three-Order Boundary Value Coupled Method","display_name":"Fast Calculation Method for Transient Response of Transmission Line Based on Chebyshev Pseudospectral\u2013Two-Step Three-Order Boundary Value Coupled Method","publication_year":2019,"publication_date":"2019-05-27","ids":{"openalex":"https://openalex.org/W2947164571","doi":"https://doi.org/10.3390/sym11050721","mag":"2947164571"},"language":"en","primary_location":{"id":"doi:10.3390/sym11050721","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11050721","pdf_url":"https://www.mdpi.com/2073-8994/11/5/721/pdf?version=1559096115","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/11/5/721/pdf?version=1559096115","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100357946","display_name":"Zhenhua Li","orcid":"https://orcid.org/0000-0002-5229-9038"},"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":"Zhenhua Li","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Zhenhua Li","orcid":"https://orcid.org/0000-0002-5229-9038"},"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":"Zhenhua Li","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073471250","display_name":"Tinghe Hu","orcid":"https://orcid.org/0000-0002-2961-3236"},"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":"Tinghe Hu","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112439218","display_name":"Tao Yuan","orcid":null},"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":"Yuan Tao","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100375720","display_name":"Tao Zhang","orcid":"https://orcid.org/0000-0001-7347-6884"},"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":"Tao Zhang","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100431456","display_name":"Zhenxing Li","orcid":"https://orcid.org/0000-0002-5833-2249"},"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":"Zhenxing Li","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100431456","display_name":"Zhenxing Li","orcid":"https://orcid.org/0000-0002-5833-2249"},"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":"Zhenxing Li","raw_affiliation_strings":["China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China"],"affiliations":[{"raw_affiliation_string":"China Three Gorges University College of Electrical Engineering &amp; New Energy, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]},{"raw_affiliation_string":"Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, China Three Gorges University, Yichang 443002, China","institution_ids":["https://openalex.org/I161350542"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5100431456"],"corresponding_institution_ids":["https://openalex.org/I161350542"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.1566,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.609565,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"11","issue":"5","first_page":"721","last_page":"721"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10787","display_name":"Lightning and Electromagnetic Phenomena","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T10787","display_name":"Lightning and Electromagnetic Phenomena","score":0.9983000159263611,"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/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9975000023841858,"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/T12804","display_name":"Thermal Analysis in Power Transmission","score":0.9954000115394592,"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/chebyshev-pseudospectral-method","display_name":"Chebyshev pseudospectral method","score":0.8387859463691711},{"id":"https://openalex.org/keywords/pseudo-spectral-method","display_name":"Pseudo-spectral method","score":0.6892935633659363},{"id":"https://openalex.org/keywords/gauss-pseudospectral-method","display_name":"Gauss pseudospectral method","score":0.6711440086364746},{"id":"https://openalex.org/keywords/pseudospectral-optimal-control","display_name":"Pseudospectral optimal control","score":0.6685331463813782},{"id":"https://openalex.org/keywords/chebyshev-filter","display_name":"Chebyshev filter","score":0.6205348968505859},{"id":"https://openalex.org/keywords/chebyshev-equation","display_name":"Chebyshev equation","score":0.5587801337242126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5514260530471802},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.5474650263786316},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.5207309722900391},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39072147011756897},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3899478018283844},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.17079439759254456},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.09250009059906006},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.0827404260635376}],"concepts":[{"id":"https://openalex.org/C122107654","wikidata":"https://www.wikidata.org/wiki/Q5089017","display_name":"Chebyshev pseudospectral method","level":5,"score":0.8387859463691711},{"id":"https://openalex.org/C177937620","wikidata":"https://www.wikidata.org/wiki/Q7254447","display_name":"Pseudo-spectral method","level":4,"score":0.6892935633659363},{"id":"https://openalex.org/C71026131","wikidata":"https://www.wikidata.org/wiki/Q5527825","display_name":"Gauss pseudospectral method","level":5,"score":0.6711440086364746},{"id":"https://openalex.org/C154304650","wikidata":"https://www.wikidata.org/wiki/Q7255577","display_name":"Pseudospectral optimal control","level":5,"score":0.6685331463813782},{"id":"https://openalex.org/C21424316","wikidata":"https://www.wikidata.org/wiki/Q718621","display_name":"Chebyshev filter","level":2,"score":0.6205348968505859},{"id":"https://openalex.org/C142484921","wikidata":"https://www.wikidata.org/wiki/Q3890369","display_name":"Chebyshev equation","level":4,"score":0.5587801337242126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5514260530471802},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.5474650263786316},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.5207309722900391},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39072147011756897},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3899478018283844},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.17079439759254456},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.09250009059906006},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.0827404260635376},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym11050721","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11050721","pdf_url":"https://www.mdpi.com/2073-8994/11/5/721/pdf?version=1559096115","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:63fc767581b04d7aaf0be33e38f9827e","is_oa":true,"landing_page_url":"https://doaj.org/article/63fc767581b04d7aaf0be33e38f9827e","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 11, Iss 5, p 721 (2019)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/11/5/721/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/sym11050721","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym11050721","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym11050721","pdf_url":"https://www.mdpi.com/2073-8994/11/5/721/pdf?version=1559096115","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5179883190","display_name":null,"funder_award_id":"51507091","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2947164571.pdf","grobid_xml":"https://content.openalex.org/works/W2947164571.grobid-xml"},"referenced_works_count":29,"referenced_works":["https://openalex.org/W1732625141","https://openalex.org/W1973013549","https://openalex.org/W1980659817","https://openalex.org/W1988061917","https://openalex.org/W2001941141","https://openalex.org/W2028805254","https://openalex.org/W2041065167","https://openalex.org/W2042212373","https://openalex.org/W2052511388","https://openalex.org/W2072499605","https://openalex.org/W2101566559","https://openalex.org/W2107276742","https://openalex.org/W2119942312","https://openalex.org/W2132385488","https://openalex.org/W2159177745","https://openalex.org/W2169389275","https://openalex.org/W2337131742","https://openalex.org/W2464884349","https://openalex.org/W2772306787","https://openalex.org/W2782454811","https://openalex.org/W2783426294","https://openalex.org/W2799298376","https://openalex.org/W2800984593","https://openalex.org/W2883909241","https://openalex.org/W2895881806","https://openalex.org/W2908899043","https://openalex.org/W2912110980","https://openalex.org/W2935808211","https://openalex.org/W2946613183"],"related_works":["https://openalex.org/W1987361260","https://openalex.org/W2550657075","https://openalex.org/W2281601070","https://openalex.org/W2761671048","https://openalex.org/W2143234151","https://openalex.org/W1991100480","https://openalex.org/W2095947114","https://openalex.org/W2355904882","https://openalex.org/W2080233518","https://openalex.org/W2294332207"],"abstract_inverted_index":{"A":[0],"Chebyshev":[1,60,94,108,146,159],"pseudospectral\u2013two-step":[2,95,109],"three-order":[3,65,96],"boundary":[4,66,97,112],"value":[5,67,98,113],"coupled":[6,99,114],"method":[7,56,68,100,115,120],"is":[8,42,70,102,183,217],"proposed":[9,135,145,158,194],"and":[10,22,72,104,122,139,165,171,206],"presented":[11,71,103],"for":[12,185],"handling":[13],"the":[14,26,46,54,63,76,81,85,93,107,117,123,130,133,144,153,157,161,179,187,198,204,210,213,222],"issue":[15],"associated":[16],"with":[17,106,174],"complicated":[18],"calculation,":[19],"low":[20],"precision,":[21,163],"poor":[23],"stability":[24,167],"in":[25,39,49,178],"process":[27],"of":[28,31,84,132,190,200,203,212],"transient":[29,188],"response":[30,189],"transmission":[32,191],"line.":[33,192],"The":[34,193],"first":[35],"order":[36,111],"differential":[37,78],"equation":[38,48],"time":[40],"domain":[41,51],"obtained":[43,77,170],"via":[44],"dispersing":[45],"telegraph":[47],"space":[50,86,180],"by":[52],"utilizing":[53],"pseudospectral":[55,124],"(PSM)":[57],"based":[58],"on":[59],"polynomial.":[61],"Then":[62],"two-step":[64],"(BVM3)":[69],"employed":[73],"to":[74,128,220],"resolve":[75],"equation,":[79],"so":[80],"numerical":[82,140,166,201],"solution":[83],"discrete":[87,176],"points":[88,177],"can":[89,168,196,207],"be":[90,169],"obtained.":[91],"Furthermore,":[92],"(PSM-BVM3)":[101],"compared":[105],"two":[110],"(PSM-BVM2),":[116],"pseudospectral\u2013differential":[118],"quadrature":[119],"(PSM-DQM),":[121],"method\u2013trapezoid":[125],"rule":[126],"(PSM-TR)":[127],"validate":[129],"feasibility":[131],"new":[134],"method.":[136,155],"Theoretical":[137],"analysis":[138],"simulation":[141],"reveal":[142],"that":[143],"PSM-BVM3":[147,195],"has":[148],"a":[149],"higher":[150,162],"performance":[151],"than":[152],"conventional":[154],"For":[156],"PSM-BVM3,":[160],"efficiency,":[164],"achieved":[172],"only":[173],"fewer":[175],"domain,":[181],"which":[182],"suitable":[184],"solving":[186],"improve":[197,209],"drawback":[199],"instability":[202],"PSM":[205],"also":[208],"disadvantage":[211],"BVM":[214],"as":[215],"it":[216],"not":[218],"easy":[219],"change":[221],"latter\u2019s":[223],"timestep":[224],"size.":[225]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-04-06T05:59:17.497350","created_date":"2019-06-07T00:00:00"}
