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A revised theoretical analysis of aerodynamic optimization of horizontal-axis wind turbines based on BEM theory

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  • Pinto, Ricardo Luiz Utsch de Freitas
  • Gonçalves, Bruna Patrícia Furtado

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.

Suggested Citation

  • Pinto, Ricardo Luiz Utsch de Freitas & Gonçalves, Bruna Patrícia Furtado, 2017. "A revised theoretical analysis of aerodynamic optimization of horizontal-axis wind turbines based on BEM theory," Renewable Energy, Elsevier, vol. 105(C), pages 625-636.
    • Handle: RePEc:eee:renene:v:105:y:2017:i:c:p:625-636
    DOI: 10.1016/j.renene.2016.12.076
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    References listed on IDEAS

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    1. Lanzafame, R. & Mauro, S. & Messina, M., 2013. "Wind turbine CFD modeling using a correlation-based transitional model," Renewable Energy, Elsevier, vol. 52(C), pages 31-39.
    2. Vaz, Jerson Rogério Pinheiro & Pinho, João Tavares & Mesquita, André Luiz Amarante, 2011. "An extension of BEM method applied to horizontal-axis wind turbine design," Renewable Energy, Elsevier, vol. 36(6), pages 1734-1740.
    3. Chehouri, Adam & Younes, Rafic & Ilinca, Adrian & Perron, Jean, 2015. "Review of performance optimization techniques applied to wind turbines," Applied Energy, Elsevier, vol. 142(C), pages 361-388.
    4. David G. Luenberger & Yinyu Ye, 2008. "Linear and Nonlinear Programming," International Series in Operations Research and Management Science, Springer, edition 0, number 978-0-387-74503-9, April.
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