{"id":"https://openalex.org/W4407832609","doi":"https://doi.org/10.1108/gs-09-2024-0108","title":"A novel nonlinear time-varying grey power model and its application in\u00a0wind energy","display_name":"A novel nonlinear time-varying grey power model and its application in\u00a0wind energy","publication_year":2025,"publication_date":"2025-02-21","ids":{"openalex":"https://openalex.org/W4407832609","doi":"https://doi.org/10.1108/gs-09-2024-0108"},"language":"en","primary_location":{"id":"doi:10.1108/gs-09-2024-0108","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-09-2024-0108","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","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/A5023073854","display_name":"Chaofeng Shen","orcid":"https://orcid.org/0000-0002-8576-6712"},"institutions":[{"id":"https://openalex.org/I120379545","display_name":"Inner Mongolia Agricultural University","ror":"https://ror.org/015d0jq83","country_code":"CN","type":"education","lineage":["https://openalex.org/I120379545"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaofeng Shen","raw_affiliation_strings":["School of Science, Inner Mongolia Agricultural University, Hohhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Inner Mongolia Agricultural University, Hohhot, China","institution_ids":["https://openalex.org/I120379545"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100433268","display_name":"Jun Zhang","orcid":"https://orcid.org/0000-0003-2923-2625"},"institutions":[{"id":"https://openalex.org/I120379545","display_name":"Inner Mongolia Agricultural University","ror":"https://ror.org/015d0jq83","country_code":"CN","type":"education","lineage":["https://openalex.org/I120379545"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Zhang","raw_affiliation_strings":["School of Science, Inner Mongolia Agricultural University, Hohhot, China"],"raw_orcid":"https://orcid.org/0000-0003-2923-2625","affiliations":[{"raw_affiliation_string":"School of Science, Inner Mongolia Agricultural University, Hohhot, China","institution_ids":["https://openalex.org/I120379545"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111317847","display_name":"Yueyang Song","orcid":null},"institutions":[{"id":"https://openalex.org/I120379545","display_name":"Inner Mongolia Agricultural University","ror":"https://ror.org/015d0jq83","country_code":"CN","type":"education","lineage":["https://openalex.org/I120379545"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yueyang Song","raw_affiliation_strings":["Inner Mongolia Agricultural University, Hohhot, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inner Mongolia Agricultural University, Hohhot, China","institution_ids":["https://openalex.org/I120379545"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I120379545"],"apc_list":null,"apc_paid":null,"fwci":10.1982,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.97879946,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"15","issue":"2","first_page":"279","last_page":"304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12368","display_name":"Grey System Theory Applications","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11052","display_name":"Energy Load and Power Forecasting","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"}},{"id":"https://openalex.org/T14369","display_name":"Diverse Interdisciplinary Research Innovations","score":0.9351999759674072,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6548628211021423},{"id":"https://openalex.org/keywords/wind-power","display_name":"Wind power","score":0.6333489418029785},{"id":"https://openalex.org/keywords/nonlinear-model","display_name":"Nonlinear model","score":0.5446663498878479},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.45870670676231384},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.44964727759361267},{"id":"https://openalex.org/keywords/environmental-science","display_name":"Environmental science","score":0.41486090421676636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36714571714401245},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3498819172382355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2711787521839142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24381154775619507},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21245867013931274},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.18356090784072876},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13901126384735107},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12841451168060303},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.05893555283546448}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6548628211021423},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.6333489418029785},{"id":"https://openalex.org/C2984755018","wikidata":"https://www.wikidata.org/wiki/Q17118374","display_name":"Nonlinear model","level":3,"score":0.5446663498878479},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.45870670676231384},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.44964727759361267},{"id":"https://openalex.org/C39432304","wikidata":"https://www.wikidata.org/wiki/Q188847","display_name":"Environmental science","level":0,"score":0.41486090421676636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36714571714401245},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3498819172382355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2711787521839142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24381154775619507},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21245867013931274},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.18356090784072876},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13901126384735107},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12841451168060303},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.05893555283546448},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1108/gs-09-2024-0108","is_oa":false,"landing_page_url":"https://doi.org/10.1108/gs-09-2024-0108","pdf_url":null,"source":{"id":"https://openalex.org/S4210188239","display_name":"Grey Systems Theory and Application","issn_l":"2043-9377","issn":["2043-9377","2043-9385"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319811","host_organization_name":"Emerald Publishing Limited","host_organization_lineage":["https://openalex.org/P4310319811"],"host_organization_lineage_names":["Emerald Publishing Limited"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Grey Systems: Theory and Application","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W3750276","https://openalex.org/W1939218602","https://openalex.org/W1954132021","https://openalex.org/W1989831470","https://openalex.org/W1992665910","https://openalex.org/W1996955033","https://openalex.org/W2006493581","https://openalex.org/W2029624237","https://openalex.org/W2043245862","https://openalex.org/W2231409555","https://openalex.org/W2240982723","https://openalex.org/W2440750546","https://openalex.org/W2606233713","https://openalex.org/W2733794820","https://openalex.org/W2914451237","https://openalex.org/W2922456124","https://openalex.org/W2959289744","https://openalex.org/W2996549886","https://openalex.org/W3022597373","https://openalex.org/W3034081852","https://openalex.org/W3043155466","https://openalex.org/W3049703542","https://openalex.org/W3083320229","https://openalex.org/W3092568511","https://openalex.org/W3099039401","https://openalex.org/W3119027854","https://openalex.org/W3127570037","https://openalex.org/W3134328386","https://openalex.org/W3153062128","https://openalex.org/W3159873881","https://openalex.org/W3171619937","https://openalex.org/W3173843731","https://openalex.org/W3193473132","https://openalex.org/W3209405477","https://openalex.org/W4301397966","https://openalex.org/W4311765336","https://openalex.org/W4380261240","https://openalex.org/W4380320116"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W4243685516","https://openalex.org/W2005390545","https://openalex.org/W2564052189","https://openalex.org/W2565192552","https://openalex.org/W1184812463","https://openalex.org/W111098009"],"abstract_inverted_index":{"Purpose":[0],"Accurately":[1],"predicting":[2],"the":[3,16,24,48,53,65,84,100,114,121,131,136,139,181,190,203,206,211,227,249,257,287,312,340,358,381,397,409,417,430,433,445,507,510,525,530,549,562,584,590,600,611,626,636,643,647,656,668],"installed":[4,41,230,363,464,648,669],"capacity":[5,42,231,366,465,651,670],"of":[6,27,55,67,99,123,130,138,192,205,233,339,396,420,426,432,475,509,533,551,599,616],"wind":[7,39,228,364,462,649],"energy":[8,12,40,56,85,229,365,384,463,479,495,511],"is":[9,105,158,162,187,223,332,343,367,536,541,559,568,580,602,632,660,664],"essential":[10],"for":[11,19,38,116,241,314,383,461,472,506],"strategic":[13,482],"planning,":[14,480],"given":[15,163],"growing":[17],"need":[18],"environmental":[20],"protection":[21],"worldwide":[22],"and":[23,44,58,71,92,111,145,173,218,238,268,279,292,305,352,372,404,447,467,493,608,634,655],"quick":[25],"development":[26,385,658],"renewable":[28],"energy.":[29],"In":[30,573,610],"order":[31,246],"to":[32,45,178,247,357,369,412,547,582,588,621,645,666],"provide":[33],"an":[34,151,265],"unprecedented":[35],"high-precision":[36],"scheme":[37],"prediction":[43,69,270,274,323,434,466,521,528,553,617,637],"further":[46,117,179],"become":[47],"primary":[49],"driving":[50],"force":[51],"in":[52,88,108,245,297,299,377,386,429,565,629,652],"process":[54],"planning":[57,382],"decision-making,":[59],"this":[60,109,387,421,453,534,566,574,630],"research":[61,492],"focuses":[62],"on":[63,543],"overcoming":[64],"limitations":[66],"conventional":[68],"models":[70,296,618],"creatively":[72],"proposes":[73,517],"a":[74,89,193,283,320,389,441,451,457,473,499,503,518],"multi-parameter":[75,153,258,398,427,544,594],"collaborative":[76,154,259,399,545,570],"optimization":[77,128,144,155,260,295,327,338,351,400,415,428,546,593],"GM(1,1)":[78,102,289,401],"power":[79,103,156,194,290,402,650],"model.":[80,522],"This":[81,379,515,539],"will":[82],"help":[83,318],"field":[86],"advance":[87],"more":[90,458],"efficient":[91],"scientific":[93],"direction.":[94],"Design/methodology/approach":[95],"The":[96,160,170,184,253,272,393,423,555,597,639],"theoretical":[97],"framework":[98],"fundamental":[101,418],"model":[104,132,157,161,212,220,261,291,403,455,535,552,558,563,601,627,644],"thoroughly":[106],"examined":[107],"study":[110,516,540,567],"serves":[112],"as":[113,587],"basis":[115],"optimizations.":[118],"To":[119],"unlock":[120],"potential":[122],"each":[124],"parameter":[125,414],"optimization,":[126,141,148],"single-parameter":[127],"investigations":[129],"are":[133,176,199,277,311,619],"conducted":[134],"from":[135,328],"viewpoints":[137],"fractional":[140],"background":[142,182,349],"value":[143,350,419],"grey":[146,341,527,557],"action":[147,342],"respectively.":[149],"Conversely,":[150],"inventive":[152],"built.":[159],"dynamic":[164],"flexibility":[165],"by":[166,189,225,440,671],"adding":[167],"time-varying":[168],"parameters.":[169],"sine":[171],"function":[172],"interpolation":[174],"technique":[175],"used":[177,581,620],"optimize":[180,583],"value.":[183],"model\u2019s":[185,250,359],"meaning":[186],"enhanced":[188],"inclusion":[191],"exponent.":[195],"Furthermore,":[196,355],"several":[197],"parameters":[198,310],"cooperatively":[200],"tuned":[201],"with":[202,408,444,524],"aid":[204],"sophisticated":[207],"Firefly":[208],"algorithm,":[209],"giving":[210],"stronger":[213],"predictive":[214],"powers.":[215],"A":[216],"multi-dimensional":[217],"multi-regional":[219],"comparison":[221,443],"analysis":[222,244],"formed":[224],"selecting":[226],"data":[232],"North":[234,300,361,653],"America,":[235,301,654],"Italy,":[236],"Japan":[237],"South":[239,302],"Korea":[240],"in-depth":[242],"empirical":[243,607,612],"confirm":[248],"validity.":[251],"Findings":[252],"findings":[254],"show":[255],"that":[256,334,625],"(Model":[262],"5)":[263],"has":[264,282],"exceptional":[266],"in-sample":[267],"out-of-sample":[269],"effect.":[271,554],"relative":[273],"error":[275],"MAPEs":[276],"0.41%":[278],"0.31%.":[280],"It":[281,331,345],"clear":[284],"advantage":[285],"over":[286],"simple":[288],"other":[293],"single":[294],"applications":[298],"Korea,":[303],"Japan,":[304],"Italy.":[306],"Its":[307],"seven":[308],"variable":[309],"reason":[313],"this.":[315],"These":[316],"factors":[317],"create":[319],"very":[321],"accurate":[322,459],"effect":[324,435],"through":[325],"joint":[326],"multiple":[329],"perspectives.":[330],"noteworthy":[333],"Model":[335],"4\u2019s":[336],"nonlinear":[337],"impressive.":[344],"performs":[346],"better":[347],"than":[348],"fractional-order":[353],"optimization.":[354],"according":[356],"prognosis,":[360],"America\u2019s":[362],"expected":[368,665],"develop":[370],"linearly":[371],"reach":[373],"513.214":[374],"bn":[375],"kilowatts":[376],"2035.":[378,672],"gives":[380],"area":[388],"vital":[390],"foundation.":[391],"Originality/value":[392],"novel":[394,454],"idea":[395],"its":[405],"clever":[406],"integration":[407],"firefly":[410],"method":[411],"accomplish":[413],"constitute":[416],"study.":[422],"substantial":[424],"benefits":[425],"stability":[431],"have":[436],"been":[437],"firmly":[438],"validated":[439],"thorough":[442],"basic":[446],"single-optimization":[448],"models.":[449],"Like":[450],"lighthouse,":[452],"illuminates":[456],"path":[460],"offers":[468],"high-value":[469],"reference":[470],"bases":[471],"variety":[474],"aspects,":[476],"including":[477],"government":[478],"enterprise":[481],"layout,":[483],"investor":[484],"decision-making":[485],"direction,":[486],"fostering":[487],"technological":[488],"innovation,":[489],"advancing":[490],"academic":[491],"developing":[494],"transformation":[496],"strategies.":[497],"As":[498],"result,":[500],"it":[501],"becomes":[502],"significant":[504],"impetus":[505],"growth":[508],"sector.":[512],"Highlights":[513],"(1)":[514],"new":[519],"gray":[520],"Compared":[523],"traditional":[526,556],"model,":[529],"modeling":[531],"mechanism":[532],"optimized.":[537],"(2)":[538],"based":[542],"achieve":[548],"improvement":[550],"two-parameter,":[560],"while":[561],"proposed":[564,628],"seven-parameter":[569],"optimization;":[571],"(3)":[572],"study,":[575],"swarm":[576],"intelligence":[577],"algorithm-firefly":[578],"algorithm":[579],"hyperparameters,":[585],"so":[586],"obtain":[589],"best":[591],"cooperative":[592],"values;":[595],"(4)":[596],"application":[598,640],"divided":[603],"into":[604],"two":[605],"parts:":[606],"application.":[609],"stage,":[613],"5":[614],"kinds":[615],"predict,":[622],"which":[623,663],"proves":[624],"paper":[631],"effective":[633],"improves":[635],"accuracy.":[638],"part":[641],"uses":[642],"forecast":[646],"future":[657],"trend":[659],"linear":[661],"growth,":[662],"double":[667]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4}],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}