To solve the problems in the inverse design of airfoil for wind turbine blade, the stream function equations expressed by vorticity were solved and the velocities at the panel nodes were directly obtained. The other parameters such as pressure coefficient, lifting coefficient as well as torque coefficient can be calculated via the Bernoulli equation. A new airfoil was obtained by using vortex panel method, taking NACA2412 as the original geometrical shape and the pressure coefficients of NACA2412 airfoil as the target. Optimization design for a small wind turbine was conducted by incorporating the newly obtained airfoil. Numerical test showed that the inverse design based on vortex panel method had high accuracy and wide adaptation. By using bump function to represent the geometry of the airfoil, optimization designs can be achieved for different initial airfoil geometry and wind turbine blade.
ZHANG Yongheng
,
LIN Zhimin
,
WANG Liangbi
,
YAN Jun
,
LIU Ying
. Optimization design of airfoil for wind turbine blade based on vortex panel method[J]. Science & Technology Review, 2015
, 33(4)
: 76
-79
.
DOI: 10.3981/j.issn.1000-7857.2015.04.013
[1] 刘雄, 陈严, 叶枝全. 水平轴风力机风轮叶片优化设计模型研究[J]. 汕头大学学报: 自然科学版, 2006, 21(1): 44-49. Liu Xiong, Chen Yan, Ye Zhiquan. Research on the HAWT rotor blades optimization[J]. Journal of Shantou University: Natural Science Edition, 2006, 21(1): 44-49.
[2] 李仁年, 郭杏威, 杨瑞. 基于Matlab的1.5 MW风力机叶片设计和优化方法[J]. 甘肃科学学报, 2012, 24(4): 73-76. Li Rennian, Guo Xingwei, Yang Rui. The design of 1.5 MW wind turbine blade and its optimization based on the matlab[J]. Journal of Gansu Sciences, 2012, 24(4): 73-76.
[3] Nicholas K B. Design and analysis of low Reynolds number airfoils [R]. Georgia: Georgia Technique, 2002: 1-32.
[4] 李仁年, 陈晓明, 杨瑞,等. 基于面元法对风力机翼型气动优化的研究[J]. 甘肃科学学报, 2010, 22(3): 97-101. Li Rennian, Chen Xiaoming, Yan Rui, et al. Based on panel method for wind-based aerodynamic optimization of the wing[J]. Journal of Gansu Sciences, 2010, 22(3): 97-101.
[5] 孙勤. 水平轴风力机翼型优化设计方法的研究[D].长沙: 湘潭大学, 2013. Sun Qin. Research on optimal design of airfoil for horizontal-axis wind turbines[D]. Changsha: Xiangtan University, 2013.
[6] 南向谊, 刘波, 王掩刚. 风力机叶片的剖面翼型反设计优化技术[J]. 风机技术, 2005(4): 13-18. Nan Xiangyi, Liu Bo, Wang Yangang. Optimization technique in inverse design of fan blade aerofoil[J]. Fan Technology, 2005(4): 13-18.
[7] 张扬, 白俊强, 朱军, 等. 改进Hicks-Henne 型函数法在翼型参数化中的应用[J]. 飞行力学, 2011, 29(5): 35-38. Zhang Yang, Bai Junqiang, Zhu Jun, et al. Application of improved Hicks-Henne shape function to airfoil parameterization[J]. Flight Dynamics, 2011, 29(5): 35-38.
[8] 宋显成, 陈江, 杜刚, 等. 风力机翼型参数化方法[J]. 南京航空航天大学学报, 2012, 44(3): 301-306. Song Xiancheng, Chen Jiang, Du Gang, et al. Parametric representation method for wind turbine airfoils[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2012, 44(3): 301-306.
[9] Arvind Santhanakrishnan, Jamey Jacob. Shape optimization and flight testing of wing with oscillating camber[R]. Virginia: American Institute of Aeronautics and Astronautics(AIAA), 2003: 1-12.
[10] 何玉林, 李海锋, 金鑫, 等. 风力机叶片翼型气动性模型[J]. 机械科学与技术, 2010, 29(12): 1589-1594. He Yulin, Li Haifeng, Jin Xin, et al. Aerodynamic characteristics model of airfoils for wind turbine blades[J]. Mechanical Science and Technology for Aerospace Engineering, 2010, 29(12): 1589-1594.
[11] 龚曙光, 彭秋明, 谢桂兰, 等. 10 kW 风力机叶片翼型气动性能的模拟及其优化[J]. 太阳能学报, 2013, 34(10): 1673-1677. Gong Shuguang, Peng Qiuming, Xie Guilan, et al. Simulation of aerodynamic performance and optimization of airfoil for 10 kW wind turbines blade[J]. Acta Energiae Solaris Sinica, 2013, 34(10): 1673-1677.
