Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China

Abstract Increasing drought events have threaten electricity supply security in the predominantly hydropower-based Sichuan Province. Wind power has the potential to complement hydropower, yet its complex fluctuations required a systematic assessment. Accordingly, we evaluated maximum likelihood esti...

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Main Authors: Cun Zhan, Renjuan Wei, Lu Zhao, Shijun Chen, Chunying Shen
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-024-83798-2
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author Cun Zhan
Renjuan Wei
Lu Zhao
Shijun Chen
Chunying Shen
author_facet Cun Zhan
Renjuan Wei
Lu Zhao
Shijun Chen
Chunying Shen
author_sort Cun Zhan
collection DOAJ
description Abstract Increasing drought events have threaten electricity supply security in the predominantly hydropower-based Sichuan Province. Wind power has the potential to complement hydropower, yet its complex fluctuations required a systematic assessment. Accordingly, we evaluated maximum likelihood estimation and three goodness-of-fit tests to identify the optimal distribution model of daily wind speed records during 1961–2017 across 156 weather stations in Sichuan Province among six commonly used probability density distributions. The study further analyzed the spatiotemporal features of persistence and multifractality in wind speed records across various landform types using multifractal detrended fluctuation analysis. The principal outcomes of our study indicated that the generalized extreme value distribution served as the optimal model for fitting wind speeds in Sichuan Province, outperforming the commonly used Weibull distribution. Persistence was evident in all wind speed series as the Hurst index exceeds 0.5, with the strongest persistence in mountainous areas and the weakest in plains. Multifractality was confirmed by the non-linear dependencies of the Generalized Hurst Exponent [h(q)] and mass exponent [τ(q)] on q, as well as by the multifractal spectrum widths exceeding 0.05. Among landform types, plains exhibited the strongest multifractality, followed by plateaus, with mountains showing the weakest multifractality. Long-range correlations were identified as the primarily caused of multifractality, as indicated by narrower multifractal spectrum widths in both shuffled and surrogate series, and stronger narrowness in the shuffled series. The multifractal spectrum width of the mountain shuffle series, which slightly exceeded 0.05, further highlighted the determinative influence of long-range correlations. Considering these findings, the southwestern mountainous region emerges as the optimal area for wind farm development, given its stability (persistence) and moderate fluctuation complexity (multifractality), crucial for effective wind resource utilization in hydropower-dominated settings. Our study provides a novel approach to assessing wind resources and offers guidance for wind farm placement in complex terrain regions, supporting sustainable energy diversification in Sichuan Province.
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spelling doaj-art-dd863beafdc24c78aff010aac5786f3b2025-02-09T12:34:24ZengNature PortfolioScientific Reports2045-23222025-02-0115111610.1038/s41598-024-83798-2Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, ChinaCun Zhan0Renjuan Wei1Lu Zhao2Shijun Chen3Chunying Shen4Faculty of Electric Power Engineering, Kunming University of Science and TechnologySichuan Water Conservancy Vocational CollegeState Key Laboratory of Hydraulics and Mountain River Engineering & College of Water Resource and Hydropower, Sichuan UniversityState Key Laboratory of Hydraulics and Mountain River Engineering & College of Water Resource and Hydropower, Sichuan UniversityFaculty of Electric Power Engineering, Kunming University of Science and TechnologyAbstract Increasing drought events have threaten electricity supply security in the predominantly hydropower-based Sichuan Province. Wind power has the potential to complement hydropower, yet its complex fluctuations required a systematic assessment. Accordingly, we evaluated maximum likelihood estimation and three goodness-of-fit tests to identify the optimal distribution model of daily wind speed records during 1961–2017 across 156 weather stations in Sichuan Province among six commonly used probability density distributions. The study further analyzed the spatiotemporal features of persistence and multifractality in wind speed records across various landform types using multifractal detrended fluctuation analysis. The principal outcomes of our study indicated that the generalized extreme value distribution served as the optimal model for fitting wind speeds in Sichuan Province, outperforming the commonly used Weibull distribution. Persistence was evident in all wind speed series as the Hurst index exceeds 0.5, with the strongest persistence in mountainous areas and the weakest in plains. Multifractality was confirmed by the non-linear dependencies of the Generalized Hurst Exponent [h(q)] and mass exponent [τ(q)] on q, as well as by the multifractal spectrum widths exceeding 0.05. Among landform types, plains exhibited the strongest multifractality, followed by plateaus, with mountains showing the weakest multifractality. Long-range correlations were identified as the primarily caused of multifractality, as indicated by narrower multifractal spectrum widths in both shuffled and surrogate series, and stronger narrowness in the shuffled series. The multifractal spectrum width of the mountain shuffle series, which slightly exceeded 0.05, further highlighted the determinative influence of long-range correlations. Considering these findings, the southwestern mountainous region emerges as the optimal area for wind farm development, given its stability (persistence) and moderate fluctuation complexity (multifractality), crucial for effective wind resource utilization in hydropower-dominated settings. Our study provides a novel approach to assessing wind resources and offers guidance for wind farm placement in complex terrain regions, supporting sustainable energy diversification in Sichuan Province.https://doi.org/10.1038/s41598-024-83798-2Wind power assessmentSpatiotemporal analysisEnergy securityProbability distributionMultifractality
spellingShingle Cun Zhan
Renjuan Wei
Lu Zhao
Shijun Chen
Chunying Shen
Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
Scientific Reports
Wind power assessment
Spatiotemporal analysis
Energy security
Probability distribution
Multifractality
title Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
title_full Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
title_fullStr Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
title_full_unstemmed Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
title_short Optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of Sichuan Province, China
title_sort optimal distribution modeling and multifractal analysis of wind speed in the complex terrain of sichuan province china
topic Wind power assessment
Spatiotemporal analysis
Energy security
Probability distribution
Multifractality
url https://doi.org/10.1038/s41598-024-83798-2
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