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Analysis of design parameters of large-sized wind turbines by non-dimensional model

Author

Listed:
  • de Medeiros, Armando Lúcio Ramos
  • Araújo, Alex Maurício
  • de Oliveira Filho, Oyama Douglas Queiroz
  • Rohatgi, Janardan
  • dos Santos, Maurílio José

Abstract

This paper presents a simplified non-dimensional model to estimate capacity factor for megawatt-sized VSVP (variable speed variable pitch) wind turbines. Instead of cut-in (Vin), rated (Vr) and cut-out (Vout) speeds of a wind turbine a non-dimensional speed parameter (x) defined as the ratio of the wind speed to the mean wind speed (Vm) is employed. Then the non-dimensional speed parameters become: xin (=Vin/Vm), xr (=Vr/Vm), and xout (=Vout/Vm). The wind speed distribution is characterized by Weibull shape parameter k. It is shown that the CF (capacity factor) depends only on k and Vr. In this way the model is independent of the mean wind speed of the site. However, these simplifications does introduce small error in the estimation of the capacity factor, but of little significance. The model shows three important points: 1) There is an optimum relation between xr and k represented by a six-degree polynomial indicating optimum value of the CF. This implies that the design parameters of a wind turbine should be selected on the basis of k; 2) The capacity factor increases with the decreasing value of the xr. This decrease in xr can either be achieved by increasing Vm or by decreasing Vr.

Suggested Citation

  • de Medeiros, Armando Lúcio Ramos & Araújo, Alex Maurício & de Oliveira Filho, Oyama Douglas Queiroz & Rohatgi, Janardan & dos Santos, Maurílio José, 2015. "Analysis of design parameters of large-sized wind turbines by non-dimensional model," Energy, Elsevier, vol. 93(P1), pages 1146-1154.
    • Handle: RePEc:eee:energy:v:93:y:2015:i:p1:p:1146-1154
    DOI: 10.1016/j.energy.2015.09.118
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    References listed on IDEAS

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    1. Boccard, Nicolas, 2009. "Capacity factor of wind power realized values vs. estimates," Energy Policy, Elsevier, vol. 37(7), pages 2679-2688, July.
    2. Abed, K.A. & El-Mallah, A.A., 1997. "Capacity factor of wind turbines," Energy, Elsevier, vol. 22(5), pages 487-491.
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    4. Hu, Ssu-yuan & Cheng, Jung-ho, 2007. "Performance evaluation of pairing between sites and wind turbines," Renewable Energy, Elsevier, vol. 32(11), pages 1934-1947.
    5. Juárez, Alberto Aquino & Araújo, Alex Maurício & Rohatgi, Janardan Singh & de Oliveira Filho, Oyama Douglas Queiroz, 2014. "Development of the wind power in Brazil: Political, social and technical issues," Renewable and Sustainable Energy Reviews, Elsevier, vol. 39(C), pages 828-834.
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    Cited by:

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