Abstract

We study the performance of extended wind farms with very large inter turbine spacings, i.e. with an inter turbine spacing of more than 10 turbine diameters, using large-eddy simulations (LES) for the special case of neutral conditions. We compare the results with predictions from different analytical modeling approaches and discuss in which parameter regimes the different model predictions agree with the LES predictions. We find in LES that the normalized power output variance increases further downstream in the wind farm. Besides, we analyze the power output correlation between the subsequent downstream turbines. We find that the correlations decrease with increasing turbine spacing due to the increased mixing induced by the wind turbine wakes. For all cases considered here, the power output correlation with downstream turbines becomes negligible after about 40 turbine diameters.

Highlights

  • To optimize wind farm performance, it is crucial to have accurate predictions for the expected power production for different wind farm designs

  • We study the performance of extended wind farms with very large inter turbine spacings, i.e. with an inter turbine spacing of more than 10 turbine diameters, using largeeddy simulations (LES) for the special case of neutral conditions

  • We discussed the result of large scale LES focusing on the performance of extended wind farms with large inter turbine distances, i.e. wind farms in which the spacing between subsequent downstream turbines is more than 10 turbine diameters

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Summary

Introduction

To optimize wind farm performance, it is crucial to have accurate predictions for the expected power production for different wind farm designs. 1618 (2020) 062011 doi:10.1088/1742-6596/1618/6/062011 for the 270◦ direction, while for other wind directions, the Jensen and CWBL models provide similar levels of accuracy predicting the mean power observed in LES [11] and field data [12]. Obtaining accurate predictions for the large spacing limit is relevant as previous studies have shown that the “optimal” wind turbine spacing depends on the size of the wind farm and may be as large as 15 turbine diameters in infinitely large wind farms [13,14,15] These predictions are based on predictions obtained by top-down models.

LES modeling
Jensen wake model
CWBL model
Results
Conclusions
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