Abstract

Wind energy gains more attention day by day as one of the clean renewable energy resources. We predicted wind speed vertical extrapolation by using extended power law. In this study, an extended vertical wind velocity extrapolation formulation is derived on the basis of perturbation theory by considering power law and Weibull wind speed probability distribution function. In the proposed methodology not only the mean values of the wind speeds at different elevations but also their standard deviations and the cross-correlation coefficient between different elevations are taken into consideration. The application of the presented methodology is performed for wind speed measurements at Karaburun/Istanbul, Turkey. At this location, hourly wind speed measurements are available for three different heights above the earth surface.

Highlights

  • Wind energy, as one of the main renewable energy sources in the world, attracts attention in many countries as the efficient turbine technology develops

  • In the literature various studies are conducted in order to estimate wind shear coefficient in the power law only if surface data is available at hand [9,10,11]

  • It is observed that on the contrary to the classical approach the means of wind speeds are at different elevations, and the standard deviations and the cross-correlation coefficient should be taken into consideration, if the wind speeds at different elevations are not independent from each other

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Summary

Introduction

As one of the main renewable energy sources in the world, attracts attention in many countries as the efficient turbine technology develops. In the literature various studies are conducted in order to estimate wind shear coefficient in the power law only if surface data is available at hand [9,10,11]. The uncertainty is inhereted in the wind speed data and its extrapolation to the hub height should be considered carefully and preciously [12]. This uncertainty is exacerbated in the offshore environment by the inclusion of the dynamic surface [13]. It is observed that on the contrary to the classical approach the means of wind speeds are at different elevations, and the standard deviations and the cross-correlation coefficient should be taken into consideration, if the wind speeds at different elevations are not independent from each other

Power Law
Extended Power Law
Application
Findings
Conclusions
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