Mathematical modeling of a horizontal axis shrouded wind turbine

Nemat Keramat Siavash, G. Najafi, Teymour Tavakkoli Hashjin, Barat Ghobadian and Esmail Mahmoodi

Renewable Energy, 2020, vol. 146, issue C, 856-866

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.

Keywords: Shrouded wind turbine; Mathematical modeling; Power coefficient; Speed-up ratio; Augmentation (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:renene:v:146:y:2020:i:c:p:856-866

DOI: 10.1016/j.renene.2019.07.022

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