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Mathematical modeling of a horizontal axis shrouded wind turbine

Author

Listed:
  • Keramat Siavash, Nemat
  • Najafi, G.
  • Tavakkoli Hashjin, Teymour
  • Ghobadian, Barat
  • Mahmoodi, Esmail

Abstract

In this work, an accurate mathematical modeling of a shrouded wind turbine is presented. This work claims new equations to predict the power coefficient and speed-up ratio effects. In the proposed model, the duct-based pressure drop is considered and the velocity in the far-wake is not suggested to be the same as the bare wind turbines. The mathematical model revealed that any shroud with an optimum design hardly can provide a CP=1 for a wind turbine. However, using a properly designed duct, CP=0.93 can be reached practically. This work also reveals that the speed-up ratio should be 0.6<γ<1.7; in order to exceed Betz limit and work in the optimum condition. The developed model presents a clear relation between the duct efficiency (ηd), duct exit area ratio (β) and its pressure loss coefficient (Kpd). Finally, a practical limitation for duct parameters is suggested in order to exceed the Betz limit. Further, a physical assumption is applied to approximate the power coefficient, which indicated that the power coefficient growth never can reach the speed-up ratio scale.

Suggested Citation

  • Keramat Siavash, Nemat & Najafi, G. & Tavakkoli Hashjin, Teymour & Ghobadian, Barat & Mahmoodi, Esmail, 2020. "Mathematical modeling of a horizontal axis shrouded wind turbine," Renewable Energy, Elsevier, vol. 146(C), pages 856-866.
    • Handle: RePEc:eee:renene:v:146:y:2020:i:c:p:856-866
    DOI: 10.1016/j.renene.2019.07.022
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    References listed on IDEAS

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    2. Rivarolo, M. & Freda, A. & Traverso, A., 2020. "Test campaign and application of a small-scale ducted wind turbine with analysis of yaw angle influence," Applied Energy, Elsevier, vol. 279(C).
    3. Bontempo, R. & Manna, M., 2020. "Diffuser augmented wind turbines: Review and assessment of theoretical models," Applied Energy, Elsevier, vol. 280(C).

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