下风向风力机风轮直径的最优解

Optimum solution to turbine diameter of down wind turbine

针对现有风轮直径计算精度的不足,根据提出的下风向风力机风轮扫掠面积上能量分布数学模型,推导出了考虑风剪切与塔影效应在内的精确能量获取计算式。结合具体算例,对风轮直径的3种不同计算格式分别予以求解。计算结果表明:风剪切对风力机风轮直径的影响甚小,塔影效应影响明显,塔架高度影响最大;风轮直径与塔架直径近似成线性关系;塔架高度存在极值;存在满足能量输出要求的最优尺寸匹配关系。

In view of the deficiency in calculation precision of turbine diameter at present, the mathematics model of energy distribution on swept area of the down wind turbine was proposed, and the energy expression that takes wind shear and tower shade effect into account was also accurately deduced. By combining the concrete case, three different calculation methods about turbine diameter were respectively solved. The calculation results show that the influence on wind shear is really little in turbine diameter calculation. The influence on tower shade effect is obvious, while the influence on tower height is maximal. There is an approximate linear relationship between the turbine diameter and the tower diameter. The tower height has the maximum. There is an optimum match relationship that satisfies the demand of energy output in the down wind turbine.