用Gauss-Laguerre积分算法确定风速数学期望  

Solving the Mathematical Expectation of Wind Velocity with Methods of Gauss-Laguerre Integral Formula

作　　者：徐宝清[1] 田德[2] 李全虎[3] 赵丹平[1] 

机构地区：[1]内蒙古工业大学信息工程学院,呼和浩特010051 [2]内蒙古农业大学机电工程学院,呼和浩特010018 [3]内蒙古大学理工学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2008年第3期337-341,共5页Journal of Inner Mongolia University：Natural Science Edition

基　　金：内蒙古自治区科技计划项目(KJT2005-GXZHB02)

摘　　要：在分析了风速离散性与连续性特点基础上,通过引入连续型风速的Weibull概率分布和数学期望表达式,分别给出离散型和连续型风速数学期望的计算方法.为求解风速的Weibull数学期望,首先提出用梯度法求出Weibull函数的两个参数,然后以Gauss-Laguerre积分公式作为标准模型,将Weibull数学期望表达式转化为此标准模型,进而求出数学期望的值.最后以内蒙古新巴尔虎旗为例,通过上述方法求出该地区风速的数学期望.实验结果和分析显示,这种方法求得的数学期望和经验平均风速与气象上平均风速基本吻合.On the base of analysis of discreteness and continuity of wind velocity ,as well as by introducing the Weibull distribution and mathematical expectation expression, some methods for calculating the mathematical expectation of discrete and continuous wind velocities are provided. In order to solving the wind velocity＇s Weibull mathematical expectation, the gradient direction searching method is presented to find the two parameters of Weibull distribution at first,then the Gauss-Laguerre integral formula is used to be a standard model, and the Weibull mathematical expectation expression is turned into this standard model,so as to the mathematical expectation of the wind velocity is worked out easily. At last, as an example, the mathematical expectation of the wind velocity in Xinba＇erhuqi in Inner Mongolian is calculated by using this kind of methods. The results and analysis show a good agreement with the experiential average wind velocity and with the meteorological average wind velocity.

关 键 词：风速 WEIBULL分布 数学期望 梯度导向法 Gauss—Laguerre积分算法 

分 类 号：TM615[电气工程—电力系统及自动化]