风向角变化量的Lorentz分布规律研究

基于雷达实测风向数据,采用统计学方法,通过拟合曲线和回归分析中拟合优度的对比,证明可用Lorentz分布函数来描述风向角变化量的分布。研究结果表明:相对于用Gauss函数描述自然风角度变化量的概率密度,用Lorentz分布来描述风向角变化量概率密度分布与Logistic分布的拟合优度基本相同,更符合风向角变化量的分布规律,并且得出风向角变化量的Lorentz概率密度函数;Lorentz分布概率密度函数中的特征角度是决定函数形状的参数,而特征角度是与采样时间间隔相对应的,进而得出特征角度与采样时间间隔的函数关系式。

STUDY ON LORENTZ DISTRIBUTION LAWFOR WIND DIRECTION ANGLE VARIATION

Based on the measured data of wind direction in the radar and through comparing the fit goodness in the fitted curve and regression analysis,it is proved that the Lorentz distribution function can be used to describe the distribution of the variation of the winddirection angle.The results show that the Lorentz distribution is more consistent with the distribution law of wind direction angle variation than that of Gauss distribution.The probability density distribution of the wind-direction angle variation described by Lorentz distribution is essentially same as with the fit goodness of Logistic distribution.Basis of that,the Lorentz probability density function of the wind direction angle variation is obtained.The characteristic angle in the Lorentz probability density function is a key parameter to determine the shape of the function which is correspond to the sampling time.Finally,the function relationship between the characteristic angle and the sampling time is obtained.