考虑法向力和切向力的叶尖损失,推导并给出了一种改进的风力机轴向和周向因子的计算模型。结合最新设计的高性能风力机专用翼型系列,利用泛函分析方法,研究了风力机叶片展向弦长及扭角分布的泛函表达方法,提出一种新的通用叶片形状的广义泛函方程;考虑实际风场风速的概率分布,空气密度及工业界对风力机叶片的气动与结构设计要求,分别以定速运行方式和变速运行方式下风力机叶轮年发电量输出最大化为目标,以叶片展向分布函数系数为设计变量,建立了2.3MW风力机叶片优化设计数学模型;优化得到2组性能优越的风力机叶片。新叶片的捕风效率和年发电量都远远高于传统风力机叶片,其中,所设计定速叶片最大功率系数达到0.515 7,变速叶片最大功率系数达到0.517 7。
Considering the tip loss of normal and tangential forces,a new aerodynamic model of wind turbines is given.Based on the new series of dedicated high-performance wind turbine airfoil,the functional expressions of wind turbine blade chord and twist angle span-wise distribution are studied,and then a new common functional equation of the blade shape is presented.Considering the wind farmer wind speed distribution,air density and industrial requirements of the wind turbine blade,aiming at the maximizing annual energy generation in constant and variable speed operation condition respectively,assigning the coefficients of blade distribution functions as the variables,a 2.3 MW wind turbine blade shape optimization model is established.Two kinds of superior blade are also optimized.The efficiency and the annual electricity production of the new blades are much higher than traditional blades.Among the new blades,the maximum power coefficients of fixed speed blade and variable speed blade are 0.515 7 and 0.517 7 respectively.