基于全自由尾涡模型的最佳环量分布风力机叶片气动优化方法

通过优化环量分布，开发了一种快速的风力机叶片气动优化设计方法.方法中引入了全自由尾涡模型，通过并行处理技术和快速多极子方法加速计算.采用傅里叶级数参数化叶片附着涡环量分布，大幅减少了优化变量数目.以风能利用系数为目标函数，以给定轴向力系数为约束条件，获得环量分布后反求得到叶片最优几何参数.最后通过优化美国可再生能源实验室（NREL）实验风轮进行方法验证，结果表明：在约束条件下，当尖速比分别为3.79和4.74时，优化使风轮的风能利用系数分别提升了32%和8%.在无约束条件下，针对不同叶片数和尖速比，分别对原NREL风轮进行全局优化，得到了风能利用系数均超过0.48以上的最优设计.

Aerodynamic optimization of wind turbine with optimal circulation distribution based on full free vortex wake model

Through optimization of the blade bound circulation distribution, a fast aerodynamic optimization method for blade of wind turbine was developed. In the method, the full free vortex wake model was introduced, and then computed quickly by parallel processing and fast multipole method(FMM). When selecting Fourier series representation of the bound circulation as the optimization variables to decrease the number of optimization variables, using the power coefficient as an objective function and adding the thrust coefficient as a constraint, optimization was carried out and optimal blade geometry parameters were obtained from optimal circulation distribution. This was validated through comparisons with the National Renewable Energy Laboratory (NREL) experimental rotor. Results show that, when tip speed ratio was 3.79 and 4.74, with a thrust coefficient constraint, optimization could enhance the power coefficient by 32% and 8%, respectively. When a variety of blade numbers and tip speed ratios were chosen, without a thrust constraint, global optimizations were performed, and the power coefficients are over 0.48.