Mathematical model for the analysis of wind-turbine wakes

Statistics – Computation

Scientific paper

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Computational Fluid Dynamics, Flow Distribution, Mathematical Models, Performance Prediction, Turbulent Wakes, Wind Turbines, Hydrostatics, Navier-Stokes Equation, Planetary Boundary Layer, Three Dimensional Flow, Velocity Distribution, Windpower Utilization

Scientific paper

The concept of wind farms with clustered wind turbines at a given site seems to offer an attractive means for extracting wind power on a large scale. Techniques for minimizing the effect of upstream wind-turbine wakes on downstream wind turbines are needed to optimize overall performance of the wind-turbine array. A numerical model for prediction of the interaction of the wind turbine with the prevailing wind flow is described. The model is based on a numerical solution of the three-dimensional Navier-Stokes equations for the planetary boundary layer with the hydrostatic approximation. Three different hypothetical wind-turbine configurations are analyzed to demonstrate the utility of this model. Model predictions from the present study compare favorably with the basic characteristics of measured wind-turbine wakes.

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