{"id":"https://openalex.org/W2095058959","doi":"https://doi.org/10.1155/2014/207428","title":"Multiobjective Transmission Network Planning considering the Uncertainty and Correlation of Wind Power","display_name":"Multiobjective Transmission Network Planning considering the Uncertainty and Correlation of Wind Power","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2095058959","doi":"https://doi.org/10.1155/2014/207428","mag":"2095058959"},"language":"en","primary_location":{"id":"doi:10.1155/2014/207428","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/207428","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/207428.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/207428.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101532609","display_name":"Yuan Hu","orcid":"https://orcid.org/0000-0003-3267-1565"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuan Hu","raw_affiliation_strings":["State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":"https://orcid.org/0000-0003-3267-1565","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020110830","display_name":"Zhaohong Bie","orcid":"https://orcid.org/0000-0002-8458-0887"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhaohong Bie","raw_affiliation_strings":["State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":"https://orcid.org/0000-0002-8458-0887","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023273990","display_name":"Yanling Lin","orcid":"https://orcid.org/0000-0001-5893-5712"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanling Lin","raw_affiliation_strings":["State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China"],"raw_orcid":"https://orcid.org/0000-0001-5893-5712","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi\u2019an Jiaotong University, Xi\u2019an 710049, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060881999","display_name":"Guangtao Ning","orcid":"https://orcid.org/0000-0002-1033-2573"},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangtao Ning","raw_affiliation_strings":["Hainan Power Grid Corporation, Haikou 570203, China"],"raw_orcid":"https://orcid.org/0000-0002-1033-2573","affiliations":[{"raw_affiliation_string":"Hainan Power Grid Corporation, Haikou 570203, China","institution_ids":["https://openalex.org/I74872605"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039155338","display_name":"Mingfan Chen","orcid":"https://orcid.org/0000-0003-3952-2925"},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingfan Chen","raw_affiliation_strings":["Hainan Power Grid Corporation, Haikou 570203, China"],"raw_orcid":"https://orcid.org/0000-0003-3952-2925","affiliations":[{"raw_affiliation_string":"Hainan Power Grid Corporation, Haikou 570203, China","institution_ids":["https://openalex.org/I74872605"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065411941","display_name":"Yujie Gao","orcid":"https://orcid.org/0000-0002-4172-473X"},"institutions":[{"id":"https://openalex.org/I74872605","display_name":"China Southern Power Grid (China)","ror":"https://ror.org/03hkh9419","country_code":"CN","type":"company","lineage":["https://openalex.org/I74872605"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujie Gao","raw_affiliation_strings":["Hainan Power Grid Corporation, Haikou 570203, China"],"raw_orcid":"https://orcid.org/0000-0002-4172-473X","affiliations":[{"raw_affiliation_string":"Hainan Power Grid Corporation, Haikou 570203, China","institution_ids":["https://openalex.org/I74872605"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020110830"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.2072,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.60760622,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.9998000264167786,"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/T10424","display_name":"Electric Power System Optimization","score":0.9998000264167786,"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/T11185","display_name":"Integrated Energy Systems Optimization","score":0.9991000294685364,"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7314860820770264},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.6288644671440125},{"id":"https://openalex.org/keywords/wind-power","display_name":"Wind power","score":0.6014403700828552},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5869025588035583},{"id":"https://openalex.org/keywords/pareto-principle","display_name":"Pareto principle","score":0.5575376152992249},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.5171501040458679},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.5135071873664856},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4857045114040375},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.46500787138938904},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4110991060733795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3043224513530731},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1743270754814148},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08928966522216797}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7314860820770264},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.6288644671440125},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.6014403700828552},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5869025588035583},{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.5575376152992249},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.5171501040458679},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.5135071873664856},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4857045114040375},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.46500787138938904},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4110991060733795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3043224513530731},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1743270754814148},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08928966522216797},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2014/207428","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/207428","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/207428.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1412177991","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1412177991","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:207428","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/207428.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:3db2737de52542139bf5f0c34b693ef2","is_oa":true,"landing_page_url":"https://doaj.org/article/3db2737de52542139bf5f0c34b693ef2","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":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/207428","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/207428","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/207428.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.9100000262260437}],"awards":[{"id":"https://openalex.org/G39433866","display_name":null,"funder_award_id":"2012AA050201","funder_id":"https://openalex.org/F4320335773","funder_display_name":"National High-tech Research and Development Program"}],"funders":[{"id":"https://openalex.org/F4320335773","display_name":"National High-tech Research and Development Program","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2095058959.pdf","grobid_xml":"https://content.openalex.org/works/W2095058959.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1569468020","https://openalex.org/W1996306791","https://openalex.org/W2019567890","https://openalex.org/W2020196460","https://openalex.org/W2034272052","https://openalex.org/W2036178646","https://openalex.org/W2040522043","https://openalex.org/W2050866918","https://openalex.org/W2063375245","https://openalex.org/W2068998606","https://openalex.org/W2069134291","https://openalex.org/W2093657105","https://openalex.org/W2096113637","https://openalex.org/W2097889228","https://openalex.org/W2098390373","https://openalex.org/W2105511939","https://openalex.org/W2106334424","https://openalex.org/W2108105062","https://openalex.org/W2108853964","https://openalex.org/W2113222113","https://openalex.org/W2125723631","https://openalex.org/W2126105956","https://openalex.org/W2132025983","https://openalex.org/W2134917918","https://openalex.org/W2140785091","https://openalex.org/W2144736575","https://openalex.org/W2149398317","https://openalex.org/W2153672555","https://openalex.org/W2164873257","https://openalex.org/W2369368580","https://openalex.org/W3151073508"],"related_works":["https://openalex.org/W1606499289","https://openalex.org/W1985939653","https://openalex.org/W2741252017","https://openalex.org/W2911578165","https://openalex.org/W2626282817","https://openalex.org/W2090178682","https://openalex.org/W4241467429","https://openalex.org/W2906115061","https://openalex.org/W2977596624","https://openalex.org/W2073147994"],"abstract_inverted_index":{"In":[0],"order":[1],"to":[2,25,66],"consider":[3],"the":[4,27,34,44,68,80,88,103,112,121,131,143,151,160,165,173,179,190],"uncertainty":[5],"and":[6,43,71,78,108,136,156,187],"correlation":[7,109,132],"of":[8,38,90,111,115,123,154,164,175,189],"wind":[9,39,116,124,134],"power":[10,29,36,114,125],"in":[11,178],"multiobjective":[12,46,61,144],"transmission":[13,47,145],"network":[14,48,146],"expansion":[15],"planning":[16,49,82,147],"(TNEP),":[17],"this":[18],"paper":[19],"presents":[20],"an":[21],"extended":[22],"point-estimation":[23],"method":[24,100,192],"calculate":[26],"probabilistic":[28],"flow,":[30],"based":[31],"on":[32],"which":[33],"correlative":[35],"outputs":[37],"farm":[40],"are":[41,158,193],"sampled":[42],"uncertain":[45],"model":[50,70],"is":[51,64,76,126,182],"transformed":[52],"into":[53],"a":[54,72,94,201],"solvable":[55],"deterministic":[56],"model.":[57,148],"A":[58],"modified":[59],"epsilon":[60],"evolutionary":[62],"algorithm":[63,167],"used":[65],"solve":[67],"above":[69],"well-distributed":[73],"Pareto":[74],"front":[75],"achieved,":[77],"then":[79],"final":[81],"scheme":[83],"can":[84,138,168],"be":[85,139,169],"obtained":[86],"from":[87],"set":[89],"nondominated":[91],"solutions":[92],"by":[93,129,195],"fuzzy":[95],"satisfied":[96],"method.":[97],"The":[98,185],"proposed":[99,166,191],"only":[101],"needs":[102],"first":[104],"four":[105],"statistical":[106],"moments":[107],"coefficients":[110],"output":[113],"farms":[117],"as":[118,150,198,200],"input":[119],"information;":[120],"modeling":[122],"more":[127],"precise":[128],"considering":[130],"between":[133],"farms,":[135],"it":[137],"easily":[140],"combined":[141],"with":[142],"Besides,":[149],"self-adaptive":[152],"probabilities":[153],"crossover":[155],"mutation":[157],"adopted,":[159],"global":[161],"search":[162],"capabilities":[163],"significantly":[170],"improved":[171],"while":[172],"probability":[174],"being":[176],"stuck":[177],"local":[180],"optimum":[181],"effectively":[183],"reduced.":[184],"accuracy":[186],"efficiency":[188],"validated":[194],"IEEE":[196],"24":[197],"well":[199],"real":[202],"system.":[203]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}