用梯形平均法计算平均风向的研究与检验

Discussion and Test of Averaged Wind Direction Calculation by Trapezoidal Mean Method

从风向变化的实际出发,根据平均风向的计算方法必须能反映前后风向相关这一实际情况,提出用梯形平均法来计算平均风向。理论分析和模拟检验表明:①理论上观测误差的处理上算术平均法和梯形平均法是等价的,拟合误差上梯形平均法优于算术平均法;②统计上算术平均法和梯形平均法都通过了Watson-Williams检验,但具体到平均偏差、可信度上,梯形平均法要优于算术平均法。所以梯形平均法是平均风向更适当的算法,建议作为风向平均值的算法。

On the basis of the idea that averaged wind direction calculation must reflect the correlation between former and latter wind directions.It is suggested that the trapezoidal mean method is better in calculating the averaged wind direction than the arithmetical average method.The analysis indicates that the trapezoidal mean method is equivalent with the arithmetical average method in dealing with observation errors,but better in dealing with fitting errors.The statistics show that the trapezoidal mean method and arithmetical average method both pass the Watson-Williams test,but the trapezoidal mean method is more accurate in terms of average deviation and reliability.