﻿ 基于Weilbull分布参数的风机翼型气动特性研究 Aerodynamic Characteristics Study on Wind Turbine Airfoil Based on Weibull Distribution Function

International Journal of Fluid Dynamics
Vol.04 No.01(2016), Article ID:17101,7 pages
10.12677/IJFD.2016.41001

Aerodynamic Characteristics Study on Wind Turbine Airfoil Based on Weibull Distribution Function

Fengyan Yi, Liwei Zhang, Xiaofei Ai, Yonghui Liu

Shandong Jiaotong University, Jinan Shandong

Received: Feb. 19th, 2016; accepted: Mar. 3rd, 2016; published: Mar. 9th, 2016

ABSTRACT

The aerodynamic characteristics of wind turbine airfoil directly influence its efficiency. In this paper, the CFD method was used to study the aerodynamic characteristics of NACA4415 airfoil. The Weibull function method of two-parameter was used to obtain the wind speed probability distribution; the numerical simulation method was established based on Weibull distribution parameters of the airfoil dynamic characteristic; and the airfoil aerodynamic drag, lift and the lift coefficient and drag coefficient were obtained on the 12 degree of attack angle. Then, a method for aerodynamic characteristics of airfoil on the actual wind speed was established based on the Weibull distribution function.

Keywords:Wind Turbine, Airfoil, Weibull Distribution, Spalart-Allmaras Model

1. 引言

2. 模型的建立

2.1. 计算域及网格划分

2.2. 数学模型

(1)

Figure 1. Computational region mesh

2.3. 边界条件

3. Weibull风速分布参数

(2)

(3)

(4)

4. 计算结果分析

4.1. 流场分析

Table 1. Wind speed distribution of a certain area

(a) v = 1 m/s (b) v = 10 m/s(c) v = 15 m/s

Figure 2. Velocity contour and vector with different wind speed

4.2. 压力场分析

4.3. 基于Weibull风速分布的气动特性分析

Figure 3. Pressure distribution of airfoil surface

Table 2. Aerodynamic characteristics of NACA4415 airfoil based on Weibull distribution

Figure 4. Drag and lift coefficient of NACA4415 airfoil

(5)

(6)

5. 结论

1) 建立了基于Weibull分布参数的风机翼型气动特性的数值模拟计算方法；

2) 通过CFD数值模拟计算给出了NACA4415翼型在12˚攻角下，基于Weibull分布参数的气动特性，获得了翼型的升力、阻力、升力系数和阻力系数的随韦伯概率分布情况；

3) 根据Weibull分布参数及翼型的气动特性，建立了一种分析实际风速分布情况下翼型气动特性的方法。

Aerodynamic Characteristics Study on Wind Turbine Airfoil Based on Weibull Distribution Function[J]. 流体动力学, 2016, 04(01): 1-7. http://dx.doi.org/10.12677/IJFD.2016.41001

1. 1. 范忠瑶, 康顺, 赵萍. 2.5兆瓦风力机气动性能数值模拟研究[J]. 工程热物理学报, 2010, 31(2): 287-291.

2. 2. 赵伟国, 李仁年, 李德顺, 杨从新, 张玉良, 李晓鹏. 风力机专用翼型数值模拟中湍流模型的选择[J]. 西华大学学报, 2007, 26(6): 61-65.

3. 3. 杨从新, 李春辉, 巫发明. 水平轴风力机专用翼型的数值模拟研究[J]. 科学技术与工程, 2008, 17(8): 4994-4997.

4. 4. 曲立群, 汪建文, 朱德臣, 吴克启, 高志鹰. NACA4415翼型失速特性的二维数值模拟[J]. 内蒙古大学学报, 2009, 28(1): 48-51.

5. 5. 李军, 胡非等. 风速的Weibull分布参数[J]. 太阳能学报, 2012, 33(10): 1667-1671.

6. 6. 王林, 刘雄伟. 风力发电机叶片翼型气动性能分析与数值模拟[J]. 太阳能学报, 2012, 33(5): 711-716.

7. 7. 铁庚. 水平轴风力机叶片的气动特性研究[D]: [硕士学位论文]. 乌鲁木齐: 新疆大学, 2013.

8. 8. 杨刚, 杜永贤, 陈鸣. 基于风频Weibull分布和风机功率特性求解风机发电量[J]. 电力学报, 2008, 23(4): 276-278.