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A NUMERICAL METHOD IN AERODYNAMIC COMPUTATION FOR WIND TURBINE ROTOR
风力机风轮气动计算中的一种数值解法

Keywords: integral-differential equation,numerical solution,wind turbine,circulation,vortex induced velocity
积分-微分方程
,数值解法,风力机,环量,旋涡诱导速度

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Abstract:

During the process of aero-dynamical computation for wind turbine rotor,one has to solve an integral equation with respect to the radial circulation distribution.Within its integrand,however,an unknown circulation is included so that it becomes an integral-differential equation.This paper proposes a numerical method to obtain a comparatively accurate result for the aerodynamic computation for wind turbine rotors. The history of this integral-differential equation is briefly described first.Then two numerical computational methods are given.With respect to the singularity of the integrand,an appropriate approach is also proposed. Finally,the results from aero-dynamic computation for a wind turbine rotor by using the numerical method presented and other two methods are compared in order to illustrate the effectiveness of the method presented, as well as to show some problems in the method with possible improvement in future.

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