风力机叶片动力学建模研究
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哈尔滨市科技创新基金资助项目(2007RFLXG009)


Dynamics modeling for the blade of a wind turbine
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    摘要:

    研究水平轴风力机叶片在回转平面内的横向振动.将风力机叶片简化为以恒角速度绕定轴旋转的不可伸长的等截面欧拉伯努利梁.采用一维动量叶素理论建立风力机叶片的空气动力学模型,并计及风力机叶片尖端损失的影响.对无量纲化的动力学方程采用Galerkin方法得到由常微分方程描述的非线性动力系统.采用由NACA63-B系列风力机叶片气动数据拟合得到的气动升力与阻力系数进行分析,结果表明:将风力机叶片简化为恒角速度旋转的等截面不可伸长的欧拉贝努利悬臂梁,攻角在[-10~30]度范围内变化时,如果计及叶尖损失的影响,则气动力

    Abstract:

    The vibration of a blade of the large horizontal axis wind turbine in the rotating plane was investigated. The blade was simplified as an Euler-Bernoulli beam, which rotates constantly around fixed axis and has constant section, while the length of the blade is much larger than the chordal length of the section. The aerodynamics force model was established by the blade element momentum theory with a tip loss correction. The experimental aerodynamics data reported for the aerofoil of NACA63-B series were fitted first to express the coefficients as the function of the attack angle. A further analysis indicates that if the blade is simplified as an Euler-Bernoulli beam, which rotates constantly around fixed axis and the attack angle is restricted in the region from -10 to 30 degree, the aerodynamics force coefficient may be approximate to zero in the vertical or tangential direction for the blade with tip loss correction. This leads to peaked points on the aerodynamics force curve, which is reasonless in the sense of physics. Such a conclusion may be useful in the design and nonlinear vibration analysis of blades of a large wind turbine.

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程危危,曹登庆,初世明.风力机叶片动力学建模研究[J].动力学与控制学报,2011,9(4):342~347; Cheng Weiwei, Cao Dengqing, Chu Shiming. Dynamics modeling for the blade of a wind turbine[J]. Journal of Dynamics and Control,2011,9(4):342-347.

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  • 收稿日期:2010-12-06
  • 最后修改日期:2011-07-03
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