基于Topp-Leone-Weibull的风速概率分布模型研究

刘俊; 熊国江

doi:doi:10.19912/j.0254-0096.tynxb.2024-1352

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基于Topp-Leone-Weibull的风速概率分布模型研究

更新时间：2026-01-08

- 基于Topp-Leone-Weibull的风速概率分布模型研究
- Vol. 46, Issue 12, Pages: 693-700(2025)
- 作者机构：
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- DOI：doi:10.19912/j.0254-0096.tynxb.2024-1352
  CLC： TK81
- Published Online：07 January 2026，
  
  Published：2025
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刘俊, 熊国江. 基于Topp-Leone-Weibull的风速概率分布模型研究[J]. 2025, 46(12): 693-700.
DOI：

刘俊, 熊国江. 基于Topp-Leone-Weibull的风速概率分布模型研究[J]. 2025, 46(12): 693-700. DOI： doi:10.19912/j.0254-0096.tynxb.2024-1352.

摘要

为解决现有模型在风速拟合中灵活性差和精度低的问题

基于Topp-Leone分布族引入Weibull分布

构建一种性能更优的TLW（Topp-Leone-Weibull）分布模型。考虑到模型参数的增加会带来计算复杂度的提升

采用差分进化算法对模型参数进行优化以确保计算效果。同时

选取福建近海某区域8年间的风速数据进行仿真研究

通过均方根误差（RMSE）、平均绝对误差（MAE）、判定系数检验（R2）和卡方检验（X2）等指标对模型进行全面评估。结果表明

与传统Weibull分布及其他类型分布相比

TLW分布在拟合0~5 m/s低风速上凸段和15~20 m/s高风速下凹段存在不规则波动性时展现出更强的适应性

能有效捕捉风速变化趋势

显著提高拟合精度

更好地跟踪实际风速分布。

Abstract

In order to solve the problem of poor flexibility and low accuracy of wind speed probability distribution model in fitting wind speed

a better performance TLW（Topp-Leone-Weibull） distribution model is constructed based on the Topp-Leone distribution family and introducing Weibull. Considering that the increase of model parameters brings about the increase of computational complexity

differential evaluation algorithm is used to optimize the model parameters to ensure the computational effect. Meanwhile

the wind speed data of a region offshore of Fujian over 8 years are selected for the simulation study

and the model is comprehensively evaluated by root mean square error（RMSE）

mean absolute error（MAE）

coefficient of determination test（²） and chi-square test （²）. The results show that

compared with the traditional Weibull distribution and other types of distributions

the TLW distribution mode1 shows stronger adaptability in fitting the irregular fluctuations that exist in the upper convex section of low wind speeds of 0-5 m/s and the lower concave section of high wind speeds of 15-20 m/s

and it can effectively capture the trend of the wind speed changes

significantly improve the fitting accuracy

and better track the actual wind speed distribution.

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