Improving Turbulence Model of Mann Wind
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摘要: 湍流是风的特性之一,也是风力机动载荷的主要来源。国际标准IEC-61400-1中推荐使用Mann风湍流模型模拟脉动风速。Mann模型涉及的理论非常复杂,一般的设计人员难于理解,应用时也难于入手。为此,本文以文献[3,7]为基础,对Mann风湍流模型进行了详细推导,重点阐述了该模型理论上的简化。发现了文献[3,7]中参数ζ1和ζ2表达式不准确,本文提出了其修正表达式,对比显示修正后的参数大幅提高了风功率谱低频范围的模拟精度。利用改进后的参数模拟Kaimal经验风谱,以谱理论为准则,讨论了空间点数对数值模拟脉动风速的影响,得到了模拟各个风速分量时空间点数的推荐值。利用空间点数的推荐值,得到了空间三维脉动风速。Abstract: Turbulence is one of the properties of wind and a primary source of the dynamic load of a wind turbine. The turbulence model of the Mann wind is recommended by the international standard IEC 61400-1. The Mann model has such complicated theories that it is difficulty for an ordinary designer to understand and apply it. Based on Refs. 3 and 7,this paper improves the turbulence model of the Mann wind and simplifies it. Finding that the expressions and in Refs. 3 and 7 contain errors,this paper improves the existing expressions and proposes some new integral expressions to replace those analytic expressions. The comparison results show that the new integral ex-pressions have a better accuracy in the low frequency range of wind power spectra. Using the improved turbulence model and treating the spectral theory as a criterion,the paper discusses the impact of the number of space points on the numerical simulation of fluctuating wind velocity. With the recommended numbers of space points, we obtain the three-dimensional fluctuating wind velocity.
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Key words:
- wind power /
- numerical methods /
- three dimensional /
- turbulence models
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