{"id":"https://openalex.org/W4402978865","doi":"https://doi.org/10.1109/access.2024.3470115","title":"Bifurcation and Chaotic Characterization of Incommensurate Fractional-Order Model for AC/DC Parallel Transmission System","display_name":"Bifurcation and Chaotic Characterization of Incommensurate Fractional-Order Model for AC/DC Parallel Transmission System","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4402978865","doi":"https://doi.org/10.1109/access.2024.3470115"},"language":"en","primary_location":{"id":"doi:10.1109/access.2024.3470115","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3470115","pdf_url":null,"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://doi.org/10.1109/access.2024.3470115","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082701959","display_name":"Yuchen Zhang","orcid":"https://orcid.org/0000-0001-5615-0946"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuchen Zhang","raw_affiliation_strings":["Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-5615-0946","affiliations":[{"raw_affiliation_string":"Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Yanling Lyu","orcid":"https://orcid.org/0000-0001-9633-1055"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanling Lyu","raw_affiliation_strings":["Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China"],"raw_orcid":"https://orcid.org/0000-0001-9633-1055","affiliations":[{"raw_affiliation_string":"Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111346882","display_name":"Shulei Xue","orcid":null},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shulei Xue","raw_affiliation_strings":["Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058384033","display_name":"Shiqiang Hou","orcid":null},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiqiang Hou","raw_affiliation_strings":["Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China"],"raw_orcid":"https://orcid.org/0009-0008-7816-7042","affiliations":[{"raw_affiliation_string":"Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093663625","display_name":"Yuansong Zi","orcid":"https://orcid.org/0009-0002-8796-4824"},"institutions":[{"id":"https://openalex.org/I100188998","display_name":"Harbin University of Science and Technology","ror":"https://ror.org/04e6y1282","country_code":"CN","type":"education","lineage":["https://openalex.org/I100188998"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuansong Zi","raw_affiliation_strings":["Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China"],"raw_orcid":"https://orcid.org/0009-0002-8796-4824","affiliations":[{"raw_affiliation_string":"Laboratory of Power System Operation and Analysis, School of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]},{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Laboratory of Power System Operation and Analysis, Harbin University of Science and technology, Harbin, China","institution_ids":["https://openalex.org/I100188998"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100188998"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3462,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58594679,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"12","issue":null,"first_page":"148305","last_page":"148314"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12277","display_name":"Frequency Control in Power Systems","score":0.9854000210762024,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9854000210762024,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9829999804496765,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9779000282287598,"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/bifurcation","display_name":"Bifurcation","score":0.6492351293563843},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6153250932693481},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.48396944999694824},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.465051531791687},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4623516798019409},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.43731629848480225},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4260568916797638},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3658878207206726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3471069037914276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.310002863407135},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.22446495294570923},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14021432399749756},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.12535899877548218},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09981673955917358}],"concepts":[{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.6492351293563843},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6153250932693481},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.48396944999694824},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.465051531791687},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4623516798019409},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.43731629848480225},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4260568916797638},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3658878207206726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3471069037914276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.310002863407135},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.22446495294570923},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14021432399749756},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.12535899877548218},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09981673955917358},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2024.3470115","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3470115","pdf_url":null,"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:dd97703a5dd34b348da0e8edcf400e8b","is_oa":true,"landing_page_url":"https://doaj.org/article/dd97703a5dd34b348da0e8edcf400e8b","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 12, Pp 148305-148314 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2024.3470115","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2024.3470115","pdf_url":null,"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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1981846176","https://openalex.org/W2016078779","https://openalex.org/W2042327231","https://openalex.org/W2066887328","https://openalex.org/W2158831292","https://openalex.org/W2172251594","https://openalex.org/W2327720711","https://openalex.org/W2805618571","https://openalex.org/W2888195640","https://openalex.org/W2976823713","https://openalex.org/W3042980160","https://openalex.org/W3112405445","https://openalex.org/W3126299125","https://openalex.org/W3134327291","https://openalex.org/W3148653261","https://openalex.org/W3158615683","https://openalex.org/W3209539766","https://openalex.org/W4223943388","https://openalex.org/W4286447513","https://openalex.org/W4381328738","https://openalex.org/W4382204979","https://openalex.org/W4385379997"],"related_works":["https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2009883749","https://openalex.org/W2735573198","https://openalex.org/W29442446","https://openalex.org/W330727063","https://openalex.org/W2896904446","https://openalex.org/W1483407203","https://openalex.org/W4206825956","https://openalex.org/W651098627"],"abstract_inverted_index":{"This":[0,24,120],"paper":[1],"presents":[2],"a":[3,90,123],"novel":[4],"investigation":[5],"into":[6],"the":[7,17,35,39,63,72,77,83,87,95,108,146],"nonlinear":[8],"dynamics":[9],"of":[10,19,38,79,86,148],"an":[11,20],"AC/DC":[12,135],"parallel":[13,136],"transmission":[14,137],"system":[15,47,143],"through":[16],"development":[18],"incommensurate":[21],"fractional-order":[22,28,36],"model.":[23],"model,":[25],"incorporating":[26],"Caputo\u2019s":[27],"calculus,":[29],"is":[30],"specifically":[31],"designed":[32],"to":[33,141],"analyze":[34],"characteristics":[37],"system.":[40,88],"Numerical":[41],"simulations":[42],"are":[43],"conducted":[44],"under":[45],"varying":[46],"parameters":[48],"and":[49,58,82,101,117,129,132,145],"model":[50],"orders,":[51],"producing":[52],"bifurcation":[53,131],"diagrams,":[54,57],"spectra,":[55],"phase":[56],"dynamic":[59],"parameter":[60],"spaces":[61],"using":[62],"0-1":[64],"test.":[65],"The":[66],"findings":[67],"reveal":[68],"that":[69],"changes":[70],"in":[71,94,107,114,134],"fractional":[73],"order":[74],"significantly":[75],"influence":[76],"size":[78],"chaotic":[80,103],"attractors":[81],"stability":[84,144],"intervals":[85],"Notably,":[89],"higher":[91],"control":[92,149],"gain":[93],"excitation":[96],"link":[97],"triggers":[98],"interior":[99,118],"crises":[100],"expands":[102],"attractors,":[104],"while":[105],"variations":[106],"rectifier":[109],"trigger":[110],"lag":[111],"angle":[112],"result":[113],"merging,":[115],"boundary,":[116],"crises.":[119],"research":[121],"offers":[122],"new":[124],"theoretical":[125],"foundation":[126],"for":[127],"understanding":[128],"controlling":[130],"chaos":[133],"systems,":[138],"thereby":[139],"contributing":[140],"enhanced":[142],"design":[147],"strategies.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}
