基于非线性气弹耦合模型的风力机柔性叶片随机响应分析

PDF(2096 KB)

振动与冲击 ›› 2015, Vol. 34 ›› Issue (10) : 20-27.

论文

徐磊，李德源，莫文威，吕文阁,刘雄2

作者信息 +

The random response analysis of flexible blade of wind turbine based on nonlinear aero-elastic coupling

XU Lei，LI De-yuan，MO Wen-wei，Lü Wen-ge ，LIU Xiong2

Author information +

文章历史 +

摘要

为准确模拟柔性叶片在紊流风速下的气弹响应，研究叶片振动对气动载荷与气弹响应的反馈。以美国可再生能源实验室（NREL）发布的5 MW近海风力机为研究对象，建立含气动及系统动力响应的柔性叶片非线性气动弹性力学模型。用Kaimal模型模拟脉动风速，结合叶素动量理论计算叶片所受气动载荷。用计算多体系统动力学理论，基于Roberson-Wittenburg建模方法建立柔性叶片的气弹耦合方程实现非线性气弹耦合。计算5 MW近海风力机在紊流风速作用下叶片挥舞、摆振加速度、位移及叶根力矩的时域响应，研究柔性叶片振动对气动载荷影响。结果表明，叶片达到一定长度后模拟风力机气弹响应时，其振动影响不可忽略。

Abstract

In order to exactly model the aeroelastic response of blade under turbulent flow and do some research on blade vibration's feedback on aerodynamic load and aeroelastic response. This paper established flexible blade's nonlinear aeroelastic force model combining aerodynamic model with dynamic response model of the whole system on the basis of 5MW offshore wind turbine of NREL. This paper used Kaimal model to calculate random wind speed and Blade Element-Momentum Theory (BEM) to calculate the aeroelastic load of wind blade. The aeroelastic coupling equations of blade were obtained by the theory of computational dynamics of multibody system based on R-W method to realize the nonlinear coupling of blade. On the foundation of 5MW offshore wind turbine of NREL under a random wind speed, time domain response of flapwise and edgewise angular acceleration and displacement of blade, flapwise and edgewise bending moment at the blade root were analyzed. The effect of vibration of flexible blade on aerodynamic load was also researched. The results represented that we cannot ignore the effect of blade vibration for long blade when we were simulating the aeroelastic response of wind turbine.

导出引用

徐磊，李德源，莫文威，吕文阁,刘雄2. 基于非线性气弹耦合模型的风力机柔性叶片随机响应分析[J]. 振动与冲击, 2015, 34(10): 20-27

XU Lei，LI De-yuan，MO Wen-wei，Lü Wen-ge,LIU Xiong2. The random response analysis of flexible blade of wind turbine based on nonlinear aero-elastic coupling[J]. Journal of Vibration and Shock, 2015, 34(10): 20-27

参考文献

[1] Hansen MOL, Sørensen JN, Voutsinas S, et al. State of the art in wind turbine aerodynamics and aeroelasticity. Progress in Aerospace Sciences 2006; 42: 285-330.
[2] Molenaar DP. Modeling and control of the NedFlex turbine - NedFlex: a flexible, variable rotational speed wind turbine . Mechanical Engineering, Systems and Control Group, Delft University of Technology, The Netherlands, Technical Report TUD-WBMR-A-746. August 1996.
[3] Molenaar DP. Modeling the structural dynamics of the Lagerwey LW-50/750 turbine. Wind Engineering 1998; 22(6): 253-64.
[4] Molenaar DP. Cost-effective design and operation of variable speed wind turbines. Ph.D. Thesis: Delft University of Technology; 2003.
[5] Rauh J, Schiehlen W. Various approaches for the Modeling of Flexible Robot Arms, Proceedings of the Euromech- Colloquium 219 on Refined Dynamical Theories of Beams, Plates, and Shells and their Applications, Kassel, 1986, Springer-Verlag, Berlin Heidelberg.; 1987. p. 420–29
[6] Zhao XY, Peter M, Wu JY. A new multibody modelling methodology for wind turbine structures using a cardanic joint beam element. Renewable Energy 2007; 32:532–46.
[7] Holierhoek JG. Aeroelasticity of Large Wind Turbines. Ph.D. Thesis: Delft University of Technology; 2008.
[8] Hansen MOL. Aerodynamics of wind turbines, 2nd ed. UK: Earthscan; 2008.
[9] Kim S, Sclavounos PD. Fully coupled response simulations of theme offshore structure in water depths of up to 10 000 feet. In: Proceedings of 11th International Offshore and Polar Engineering Conference (ISOPE), Stavanger, Norway, 2005: 457-466.
[10] Meng FZ. Aero-elastic Stability analysis for large-scale wind turbines. Ph.D. Thesis: Delft University of Technology; 2011.
[11] 任勇生,林学海.风力机叶片挥舞/摆振的动力失速非线性气弹稳定性研究[J].振动与冲击,2010,29(1): 121-124.
REN Yong-sheng, LING Xue-hai. Flap/lead-lag nonlinear aeroelastic stability of a wind turbine blade system during dynamic stall [J]. Journal of vibration and shock,2010,29(1): 121-124.
[12] 任勇生,刘廷瑞.具有结构阻尼的复合材料薄壁梁的动力失速非线性颤振特性[J].振动与冲击,2013, 32(18): 146-152.
REN Yong-sheng, LIU Ting-rui. Stall nonlinear flutter behavior of a thin-walled composite beam with structural damping [J]. Journal of vibration and shock,2013, 32(18): 146-152.
[13] 任勇生,刘廷瑞,杨树莲等.风力机复合材料叶片的动力失速气弹稳定性研究[J].机械工程学报,2011, 47(12): 113-125.
PEN Yong-sheng, LIU Ting-rui, YANG Shu-lian. Aeroelastic Stability Analysis of Composite Wind Turbine Blade Dynamic Stall [J]. Journal of vibration engineering,2011, 47(12): 113-125.
[14] 刘廷瑞,任勇生.基于复合材料薄壁结构的转子叶片非线性气弹时域响应分析[J].太阳能学报,2012,33(1): 105-112.
Liu Ting-rui, Ren Yong-sheng. Nonlinear Aeroelastic Response Analysis of Rotor Blade Modeled as Composite Thin-walled Structure [J]. Acta Energiae Solaris Sinica,2012,33(1): 105-112.
[15] L. Li, Y.H. Li, Q.K. Liu, et al. Flapwise non-linear dynamics of wind turbine blades with both external and internal resonances, International Journal of Non-Linear Mechanics, Volume 61, May 2014
[16] Masarati P. Comprehensive Multibody AeroServoElastic Analysis of Inte-grated Rotorcraft Active Controls. PhD thesis, Politecnio di Milano, Di-partimento di Ingegneria Aerospaziale, Jul 2000.
[17] Laino DJ and Hansen AC. User's guide to the wind turbine aerodynamics computer software. Technical report, Windward Engineering, LC, Salt Lake City, UT 84117, December 2002.
[18] Ahlström A. Aeroelastic Simulation of Wind Turbine Dynamics. Ph.D. Thesis: Royal Institute of Technology; 2005.
[19] JONKMAN J, BUTTERFIELD S, MUSIAL W, et al. Definition of a 5-MW reference wind turbine for offshore system development[R]. Springfield: U.S.National Rene- wable Energy Laboratory, 2009.
[20] 洪嘉振.计算多体系统动力学[M]. 北京：高等教育出版社，1999.
HONG Jiazhen. Computational dynamics of multibody system[M]. Beijing: Higher Education Press, 1999.
[21] 李春，叶舟，高伟,等.现代陆海风力机计算与仿真[M]. 上海：上海科学技术出版社，2012.
Li Chun, Ye Zhou, Gao Wei, et al. Modern land-sea wind turbine calculation and simulation [M]. Shanghai: Shanghai science and Technology Press, 2012
[22] 袁波,应惠清,徐佳炜.基于线性滤波法的脉动风速模拟及其MATLAB程序的实现[J].结构工程师，2007,23(4):55-61
YUAN Bo, YING Huiqing, XU Jiawei. Simulation of Turbulent Wind Velocity Based on Linear Filter Method and MATLAB Program Realization [J].Structural Engineers, 2007, 23(4):55-61