Abstract In this article, we propose a model of wind speed on a scale of seconds based on a parametrization of the Ornstein-Uhlenbeck (OU) process, that allows the characterization of wind turbulence. The determination of the accurate parametrization of the OU process that best fits the standard deviation of the wind speed follows the physical principle of wind, which states a relationship of proportionality between turbulence intensity and mean wind speed. The approach addressed in this paper consists in defining the coefficients in the OU process capable to capture the real data properties. To validate the proposed model, a turbulence intensity analysis was performed on a set of wind speed data in seconds provided by NCAR/EOL. The parameters of mean wind speed and turbulence intensity are used to configure each resulting model. The best parametrization of the OU process is chosen by comparing the set of wind speeds in seconds and their characteristics, and is determined by a turbulence intensity analysis. Finally, the proposed methodology is applied to describe a set of mean wind speeds measured every 10 min from a specific location in Mexico.

中文翻译：

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基于湍流强度的风速随机建模

摘要 在本文中，我们提出了一个基于 Ornstein-Uhlenbeck (OU) 过程参数化的秒级风速模型，该模型允许表征风湍流。确定最符合风速标准偏差的 OU 过程的精确参数化遵循风的物理原理，即湍流强度与平均风速之间的比例关系。本文中提出的方法包括在 OU 过程中定义能够捕获真实数据属性的系数。为了验证所提出的模型，对 NCAR/EOL 提供的一组以秒为单位的风速数据进行了湍流强度分析。平均风速和湍流强度参数用于配置每个结果模型。OU 过程的最佳参数化是通过比较以秒为单位的一组风速及其特性来选择的，并由湍流强度分析确定。最后，所提出的方法用于描述从墨西哥特定位置每 10 分钟测量一次的一组平均风速。