{"id":"https://openalex.org/W4392902572","doi":"https://doi.org/10.1109/tsg.2024.3376378","title":"Region of Attraction Estimation for Large-Scale DC Microgrids With Low Computations","display_name":"Region of Attraction Estimation for Large-Scale DC Microgrids With Low Computations","publication_year":2024,"publication_date":"2024-03-18","ids":{"openalex":"https://openalex.org/W4392902572","doi":"https://doi.org/10.1109/tsg.2024.3376378"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2024.3376378","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2024.3376378","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","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/A5027602211","display_name":"Zhenxi Wu","orcid":"https://orcid.org/0000-0003-1724-7627"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]},{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["CN","HK"],"is_corresponding":true,"raw_author_name":"Zhenxi Wu","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China","Department of Electrical Engineering, City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-1724-7627","affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073660632","display_name":"Hua Han","orcid":"https://orcid.org/0000-0001-8318-9336"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hua Han","raw_affiliation_strings":["School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-8318-9336","affiliations":[{"raw_affiliation_string":"School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004535603","display_name":"Zhangjie Liu","orcid":"https://orcid.org/0000-0001-9594-0502"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhangjie Liu","raw_affiliation_strings":["School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0001-9594-0502","affiliations":[{"raw_affiliation_string":"School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023940219","display_name":"Liya Huang","orcid":"https://orcid.org/0000-0003-1741-3752"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liya Huang","raw_affiliation_strings":["School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076880109","display_name":"Mei Su","orcid":"https://orcid.org/0000-0002-4346-5268"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mei Su","raw_affiliation_strings":["School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China"],"raw_orcid":"https://orcid.org/0000-0002-4346-5268","affiliations":[{"raw_affiliation_string":"School of Automation and the Hunan Provincial Key Laboratory of Power Electronics Equipment and Gird, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"school of Automation, Central South University and the Hunan Provincial key Laboratory of Power Electronics Equipment and Gird, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100365326","display_name":"Xin Zhang","orcid":"https://orcid.org/0000-0002-4968-2722"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Zhang","raw_affiliation_strings":["College of Electrical Engineering, Zhejiang University, Hangzhou, China","Hangzhou Global Scientific and Technological Innovation Center, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-4968-2722","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Hangzhou Global Scientific and Technological Innovation Center, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100395960","display_name":"Peng Wang","orcid":"https://orcid.org/0000-0002-0093-7018"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Peng Wang","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Jurong West, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-0093-7018","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Jurong West, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5027602211"],"corresponding_institution_ids":["https://openalex.org/I139660479","https://openalex.org/I168719708"],"apc_list":null,"apc_paid":null,"fwci":2.2087,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87135357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"15","issue":"5","first_page":"4333","last_page":"4348"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":1.0,"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/T10223","display_name":"Microgrid Control and Optimization","score":1.0,"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/T13183","display_name":"Islanding Detection in Power Systems","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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9937999844551086,"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/microgrid","display_name":"Microgrid","score":0.871345043182373},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7240275144577026},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5258092284202576},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.48398613929748535},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.480549156665802},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.46426936984062195},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44648316502571106},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.44501814246177673},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4249866008758545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4243358075618744},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.42269521951675415},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.42192256450653076},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36362504959106445},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.33281147480010986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23616477847099304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13621282577514648},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10859152674674988},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09481903910636902}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.871345043182373},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7240275144577026},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5258092284202576},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.48398613929748535},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.480549156665802},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.46426936984062195},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44648316502571106},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.44501814246177673},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4249866008758545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4243358075618744},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.42269521951675415},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.42192256450653076},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36362504959106445},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.33281147480010986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23616477847099304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13621282577514648},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10859152674674988},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09481903910636902},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","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/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2024.3376378","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2024.3376378","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"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 Smart Grid","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4000000059604645,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3579922981","display_name":null,"funder_award_id":"62273363","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3987990908","display_name":null,"funder_award_id":"62192754","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5104226517","display_name":null,"funder_award_id":"U23B20129","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":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W632782024","https://openalex.org/W1504052325","https://openalex.org/W1892166179","https://openalex.org/W1977464588","https://openalex.org/W1984452440","https://openalex.org/W1988845975","https://openalex.org/W2046151576","https://openalex.org/W2084943452","https://openalex.org/W2116846721","https://openalex.org/W2127086830","https://openalex.org/W2240778849","https://openalex.org/W2284066940","https://openalex.org/W2332820059","https://openalex.org/W2428788477","https://openalex.org/W2562183967","https://openalex.org/W2570969227","https://openalex.org/W2578606504","https://openalex.org/W2605172772","https://openalex.org/W2614006387","https://openalex.org/W2734700100","https://openalex.org/W2749136109","https://openalex.org/W2770080915","https://openalex.org/W2793923459","https://openalex.org/W2911876139","https://openalex.org/W2912057646","https://openalex.org/W2952105605","https://openalex.org/W2962709581","https://openalex.org/W2962842547","https://openalex.org/W2963491678","https://openalex.org/W2990195275","https://openalex.org/W2991362294","https://openalex.org/W3000874785","https://openalex.org/W3015794603","https://openalex.org/W3018201142","https://openalex.org/W3032023809","https://openalex.org/W3106224369","https://openalex.org/W3108321671","https://openalex.org/W3128859915","https://openalex.org/W3152687569","https://openalex.org/W3162826322","https://openalex.org/W3163821774","https://openalex.org/W3167535345","https://openalex.org/W4213284467","https://openalex.org/W4226136899","https://openalex.org/W4292387411","https://openalex.org/W4320713589","https://openalex.org/W4360995423"],"related_works":["https://openalex.org/W1574359403","https://openalex.org/W2057975886","https://openalex.org/W4308700935","https://openalex.org/W4210780382","https://openalex.org/W2356033827","https://openalex.org/W2391138633","https://openalex.org/W2907234787","https://openalex.org/W4285503559","https://openalex.org/W4206134051","https://openalex.org/W4383747562"],"abstract_inverted_index":{"Due":[0],"to":[1,28,168],"high":[2],"energy":[3,7,18,108,158,174],"efficiency":[4],"and":[5,35],"low":[6],"losses,":[8],"DC":[9,75,80,98,112,135],"microgrid":[10],"is":[11,43,120,161,177],"a":[12,53,125],"promising":[13],"solution":[14],"for":[15,47,74,78,134,148],"integrating":[16],"renewable":[17],"source.":[19],"Nevertheless,":[20],"the":[21,49,57,60,68,72,92,95,106,129,171,183,186],"system":[22,61],"may":[23],"suffer":[24],"instability":[25],"when":[26],"subjected":[27],"large":[29,65],"disturbances":[30],"including":[31],"abrupt":[32],"load":[33],"changes":[34],"line":[36],"fault.":[37],"The":[38],"region":[39],"of":[40,59,94,97,110,127,131,151,153,185],"attraction":[41],"(ROA)":[42],"an":[44,156],"important":[45],"indicator":[46],"measuring":[48],"large-signal":[50],"stability":[51],"in":[52],"system,":[54],"which":[55,144,163],"ensures":[56],"convergence":[58],"state":[62],"trajectory":[63],"after":[64],"disturbances.":[66],"However,":[67],"issue":[69],"that":[70],"estimating":[71,128],"ROA":[73,96,130],"microgrids,":[76,81],"especially":[77],"large-scale":[79],"has":[82],"not":[83],"been":[84],"resolved":[85],"completely.":[86],"This":[87],"paper":[88],"mainly":[89],"focuses":[90],"on":[91,115],"estimation":[93,152],"microgrids":[99,113,136],"with":[100],"constant":[101],"power":[102],"loads":[103],"(CPLs).":[104],"Firstly,":[105],"Lyapunov":[107],"function":[109,142,159,175],"meshed":[111],"based":[114],"Brayton-Moser\u2019s":[116,138],"mixed":[117,140],"potential":[118,141],"theory":[119],"calculated.":[121],"Secondly,":[122],"we":[123],"propose":[124],"framework":[126],"high-voltage":[132],"equilibrium":[133],"using":[137],"general":[139],"(GMPF),":[143],"provides":[145],"useful":[146],"perspectives":[147],"designing":[149],"algorithm":[150],"ROA.":[154],"Thirdly,":[155],"analytical":[157],"value":[160,176],"developed,":[162],"reduces":[164],"computations":[165],"greatly.":[166],"Compared":[167],"existing":[169],"results,":[170],"proposed":[172,187],"critical":[173],"greater.":[178],"Finally,":[179],"simulation":[180],"results":[181],"verify":[182],"feasibility":[184],"method.":[188]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}