AI 中文总结
研究提出基于两个正交高斯速度分量的物理模型推导风速的莱斯分布，利用四个风电场风速记录对比，表明莱斯模型优于高斯模型，与威布尔模型竞争，其参数能描述变异性，是紧凑且物理可解释的双参数模型。
AI 中文摘要
大气风变化统计通常用高斯或威布尔形式建模，在分布尾部常牺牲物理可解释性换取统计准确性。本文从基于两个在优选方向有非零均值的正交高斯速度分量的简单物理模型推导出风速的莱斯分布。利用四个地理上不同风电场的风速记录表明，莱斯模型始终优于高斯模型，与威布尔模型竞争。数据按月划分时也如此，莱斯参数能透明描述季节和地理变异性。此外，该模型通过莱斯参数比自然连接高斯型和威布尔型区域，使其成为风速统计紧凑且物理可解释的双参数模型。
英文摘要
The statistics of atmospheric wind variations are commonly modeled using Gaussian or Weibull forms, which often trade physical interpretability against statistical accuracy, especially in the distribution tails. Here we derive a Rician distribution for wind speed from a simple physical model based on two orthogonal Gaussian velocity components with a non-zero mean in the preferred direction. Using wind-speed records from four geographically distinct wind farms, we show that the Rician model consistently outperforms the Gaussian model and remains competitive with the Weibull model. The same behavior persists when the data are partitioned into monthly windows, where the Rician parameters also provide a transparent description of seasonal and geographic variability, compared to Weibull parameters. In addition, the model naturally connects Gaussian-like and Weibull-like regimes through the Rician parameter ratio $μ/σ$, making the Rician distribution a compact and physically interpretable two-parameter model for wind-speed statistics.
Comments9 pages, 7 figures
