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Wind Energy Science The interactive open-access journal of the European Academy of Wind Energy
https://doi.org/10.5194/wes-2017-7
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research articles
01 Mar 2017
Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Wind Energy Science (WES).
An engineering model for 3D turbulent wind inflow based on a limited set of random variables
Manuel Fluck and Curran Crawford Department of Mechanical Engineering, Institute for Integrated Energy Systems (IESVic), University of Victoria, Victoria, BC, Canada
Abstract. Emerging stochastic analysis methods are of potentially great benefit for wind turbine power output and loads analysis. Instead of requiring multiple (e.g. ten-minute) deterministic simulations, a stochastic approach can enable quick assessment of a turbine's long term performance (e.g. 20 year fatigue and extreme loads) from a single stochastic simulation. However, even though the wind inflow is often described as a stochastic process, the common spectral formulation requires a large number of random variables to be considered. This is a major issue for stochastic methods, which suffer from the curse of dimensionality leading to a steep performance drop with an increasing number of random variables contained in the governing equations. In this paper a novel engineering wind model is developed which reduces the number of random variables by 4–5 orders of magnitude compared to typical models while retaining proper spatial correlation of wind speed sample points across a wind turbine rotor. The new model can then be used as input to direct stochastic simulations models under development. A comparison of the new method to results from the commercial code TurbSim and a custom implementation of the standard spectral model shows that for a 3D wind field the most important properties (cross-correlation, covariance, auto- and cross-spectrum) are conserved adequately by the proposed method.

Citation: Fluck, M. and Crawford, C.: An engineering model for 3D turbulent wind inflow based on a limited set of random variables, Wind Energ. Sci. Discuss., https://doi.org/10.5194/wes-2017-7, in review, 2017.
Manuel Fluck and Curran Crawford
Manuel Fluck and Curran Crawford
Manuel Fluck and Curran Crawford

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Short summary
We present an engineering model of 3D turbulent wind inflow which reduces the number of random variables required from tens of thousands to ~ 20. This new model is a vital step towards stochastic modeling of wind turbines. Such models can quickly assess turbine life time loads and fluctuating power output and thus can be used to design better turbines. However, stochastic models are only viable when the input is expressed with very few random variables, hence the new wind model presented here.
We present an engineering model of 3D turbulent wind inflow which reduces the number of random...
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