Effect of the wake behind wind rotor on optimum energy output of wind farms - ScienceDirect.pdf

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9/11/2020 Effect of the wake behind wind rotor on optimum energy output of wind farms - ScienceDirect
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Renewable Energy
Volume 49, January 2013, Pages 128-132
Effect of the wake behind wind rotor on optimum energy output
of wind farms
Walid Husien , Wedad El-Osta , Elhadi Dekam
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https://doi.org/10.1016/j.renene.2012.01.048
Abstract
This study deals with the modeling of the wake effect on the energy extracted from the wind
farms. It covers the wake effect of the interaction of the upstream wind rotor with/without the
upstream right and/or upstream left wind rotor. A mathematical model representing a single
wake model based on the linear description of the wake is developed in order to predict the wind
speed inside the wake region at any downstream distance within the wind farm. Two different
types of turbines with diameters of 62m and 100m are considered. Accordingly the effect of the
wake on the energy produced from the wind farms is estimated.
A number of different wind farm layouts are studied. Case studies including 3×3, 4×4, 6×6,
1×16, 16×1, 2×8, and 8×2 layouts are considered. Extracted energy is calculated in each case
and an optimum layout is determined from different layouts. The effectiveness of the other
layouts with respect to the optimum is obtained. The results showed that there is a drop in the
annual extracted energy from the above mentioned layouts depending on the W.T. distances
separating the W.T.'s. The wind speed was assumed to be 15m/s with 10D downstream distances.
The losses are estimated to be 20% for 3×3 (rows×column), 32% for 4×4, 46% for 6×6, 12.8%
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9/11/2020 Effect of the wake behind wind rotor on optimum energy output of wind farms - ScienceDirect
https://www.sciencedirect.com/science/article/abs/pii/S0960148112000596 2/2
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for 16×1, 23.3% for 2×8, and 29% for 8×2 when these layouts are compared to 1×16 layout as
an optimum layout.
Keywords
Wake effect; Wind farm; Downstream distance; Extracted energy; Wake wind speed;
Wind speed behind the rotor
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