Study on Modal Aerodynamic Damping Analysis Method for Wind Turbine Blade

doi:10.3901/JME.2018.02.176

Abstract

Abstract: The study focuses on the numerical analysis method of modal aerodynamic damping of large horizontal axis wind turbine flexible blades. By applying the modeling method of multi-body system dynamics and the blade aerodynamic model of a wind turbine, the aeroelastic coupling equation of the flexible blade is established. Also, the formula calculating the blade modal aerodynamic damping ratio is derived, based on the aeroelastic response obtained by numerically solving the coupling equation of the blade operating under certain working condition, the blade modal parameters identification, including the modal frequency, vector and mass, and the energy loss due to vibration, i.e. computing the work done by the aerodynamic force within one vibrational circle. Furthermore, the analysis process of the modal aerodynamic damping ratios of the blade flapwise and edgewise modes is built. A blade with flexibility is chosen as the research subject and its aerodynamic damping ratio of the first order mode is analyzed. The analysis results verify the effectiveness and reliability of the presented analysis method. The research supplies a feasible way for analyzing the aerodynamic damping characteristics and aeroelastic stability of large wind turbine blade with flexibility.

Key words: aerodynamic damping, aeroelastic coupling, modal analysis, wind turbine blade

CLC Number:

TK83

CHI Zhiqiang, XIA Hongjian, LI Deyuan, ZHANG Xiangwei. Study on Modal Aerodynamic Damping Analysis Method for Wind Turbine Blade[J]. Journal of Mechanical Engineering, 2018, 54(2): 176-183.

References

[1] BIR G, JONKMAN J. Aeroelastic instabilities of large offshore and onshore wind turbines[C]//The EAWE 2007 Torque from Wind Conference Technical University of Denmark, Lyngby, Denmark. 2007:012069-012087.
[2] RIZIOTIS V A, VOUTSINAS S G, POLITIS E S, et al. Aeroelastic stability of wind turbines:the problem, the methods and the issues[J]. Wind Energy, 2004,(7):373-392
[3] MENG F. Aeroelastic stability analysis for large-scale wind turbines[J]. Medicina Intensiva, 2011, 35(5):286-287.
[4] HANSEN M H. Aeroelastic instability problems for wind turbines[J]. Wind Energy, 2007(10):551-557
[5] PETERSEN J T, MADEN H A, ENEVOLDSEN P, et al. Prediction of dynamic loads and induced vibrations in stall[J]. Campus Risø, 1998, 76:1176-1182.
[6] 陈严,王小虎,刘雄,等.水平轴风力机叶片稳态失速气动阻尼分析[J].太阳能学报,2011,32(9):1294-1302 CHEN Yan, WANG Xiaohu, LIU Xiong, et al. Aerodynamic damping analysis of horizontal aixs wind turbine blade in steady stall[J]. ACTA Energiae Solaris Sinica, 2011, 32(9):1294-1302
[7] 刘雄,马新稳,沈世,等. 风力机柔性叶片振动变形对其气动阻尼的影响分析[J].空气动力学学报,2013,31(3):407-412. LIU Xiong, MA Xinwen, SHEN Shi, et al. Analysis of the innocence of vibntion and deformation of the blade on the aerodynamic damping[J]. Acta Aerodynamica Sinica, 2013, 31(3):407-412
[8] MO Wenwei, LI Deyuan, WANG Xianneng, et al. Aeroelastic coupling analysis of the flexible blade of a wind turbine[J]. Energy, 2015(89):1001-1009
[9] HANSEN M H, THOMSEN K, FUGLSANG P, et al. Two methods for estimating aeroelastic damping of operational wind turbine modes from experiments[J]. Wind Energy, 2006, 9(1-2):179-191.
[10] ALLEN M S, SRACIC M W, CHAUHAN S, et al. Output only modal analysis of linear time periodic systems with application to wind turbine simulation data[J]. Mechanical Systems and Signal Processing, 2011(25):1174-1191.
[11] ZHAO Xueyong, PETER M, WU Jingyan. A new multibody modelling methodology for wind turbine structures using a cardanic joint beam element[J]. Renewable Energy, 2007(32):532-546.
[12] HOLIERHOEK J G. Aeroelasticity of large wind turbines[D]. Delft:Delft University of Technology, 2008.
[13] 李德源, 汪显能, 莫文威, 等. 动态气动载荷和构件振动对风力机气弹特性的影响分析[J]. 机械工程学报, 2016, 52(14):165-173. LI Deyuan, WANG Xianneng, MO Wenwei, et al. Analysis on the influence of dynamic aerodynamic loads and component vibration of wind turbine on aeroelastic[J]. Journal of Mechanical Engineering, 2016, 52(14):165-173
[14] 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.
[15] JONKMAN J, BUTTERFIELD S, MUSIAL W, et al. Definition of a 5MW reference wind turbine for offshore system development[R]. New York:Office of Scientific & Technical Information Technical Reports, 2009.
[16] HANSEN M H. Aeroelastic Stability Analysis of Wind Turbines Using an Eigenvalue Approach[J]. Wind Energy, 2004(7):133-143
[17] 刘延柱,陈立群,陈文良. 振动力学[M]. 北京:高等教育出版社, 2011 LIU Yanzhu, CHEN Liqun, CHEN Wenliang. Mechanics of vibration[M]. Beijing:Higher Education Press, 2011
[18] LIU Xiong, ZHANG Xianmin, LI Gangqiang, et al. Dynamic response analysis of the rotating blade of horizontal axis wind turbine[J]. Wind Engineering, 2010, 34(5):543-560.