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Renewable energy v.105, 2017년, pp.625 - 636   SCIE
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A revised theoretical analysis of aerodynamic optimization of horizontal-axis wind turbines based on BEM theory

Pinto, Ricardo Luiz Utsch de Freitas (Corresponding author. ); Gonç ( ); alves, Bruna Patrí ( ); cia Furtado ( );
  • 초록  

    Abstract This article presents a revised theoretical analysis of aerodynamic optimization of horizontal-axis wind turbines, including drag effects, based on Blade Element-Momentum theory. It is demonstrated that horizontal-axis wind turbines can never reach Betz limit, even in the absence of drag effects. Formulating the optimization problem as a nonlinear programming problem with equality and inequality constraints, it is confirmed that, in order to reach maximum performance, all blade sections have to operate under maximum lift-to-drag ratio condition. This condition has been adopted in the literature, but without a mathematical proof that is indeed true. The optimal distributions of axial and tangential induction factors are determined adopting a different approach from those found in the literature. The results include a diagram where both, the optimal operating tip speed ratio and the maximum power coefficient, can be quickly found as functions of the maximum airfoil lift-to-drag ratio. Highlights A revised theoretical analysis of aerodynamic optimization of horizontal-axis wind turbines is made including drag effects. It is formally demonstrated that all blade sections have to operate at maximum lift-to-drag ratio for optimal performance. Optimal axial and tangential induction factors are determined adopting a different approach those found in the literature. Optimal operating conditions of the turbine can be quickly found as functions of the maximum airfoil lift-to-drag ratio.


  • 주제어

    Horizontal-axis wind turbine .   Optimal wind blades geometry .   Multiplier rules .   BEM theory.  

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