风力机风轮气动计算中的一种数值解法

A NUMERICAL METHOD IN AERODYNAMIC COMPUTATION FOR WIND TURBINE ROTOR

  • 摘要: 在风力机风轮空气动力学计算中出现一叶片径向环量分布积分方程的求解问题. 方程中的被积函数包含待求环量的导数,是个积分-微分方程. 给出该方程的合理解法,以获取较准确的风轮气动特性.文中先简述了该积分-微分方程的来源. 继而给出其两种数值解法及被积函数奇异性的处理方法. 最后将所给方法的气动计算结果与其它方法的结果作了比较,以说明所给方法的有效性.同时还指出其不足并给出改进的预想方法.

     

    Abstract: During the process of aero-dynamicalcomputation for wind turbine rotor, one has to solve an integral equationwith respect to the radial circulation distribution. Within itsintegrand,however, an unknown circulation is included so that itbecomes an integral-differential equation. This paper proposes a numerical method to obtain a comparativelyaccurate result for the aerodynamic computation for wind turbine rotors. Thehistory of this integral-differential equation is briefly described first.Then two numerical computational methods are given. With respect to thesingularity of the integrand, an appropriate approach is also proposed.Finally, the results from aero-dynamic computation for a wind turbine rotorby using the numerical method presented and other two methods are comparedin order to illustrate the effectiveness of the method presented, aswell as to show some problems in the method with possible improvement in future.

     

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