Abstract

In the design of wind energy farms, the loss of power should be seriously considered for the second wind turbine located inside the wake region of the first one. The rotation of the first wind-front rotor generates a high-vorticity wake with turbulence, and a suitable model is required in computational fluid dynamics (CFD) to predict the deficit of energy of the second turbine for the given configuration. A simplified numerical model based on the classical momentum theory is proposed in this study for multiple wind turbines, which is proposed with a couple of tuning parameters applied to Reynolds-averaged Navier-Stokes (RANS) analysis, resulting in a remarkable reduction of computational load compared with advanced methods, such as large eddy simulation (LES) where two parameters reflect on axial and rotational wake motion, simply tuned with the wind-tunnel test and its corresponding LES result. As a lumped parameter for the figure of merit, we regard the normalized efficiency on the kinetic power output of computational domain, which should be directed to maximize for the optimization of wind farms. The parameter surface is plotted in a dimensionless form versus intervals between turbines, and a simple correlation is obtained for a given hub height of 70% diameter and a fixed rotational speed tuned from the experimental data in a wide range.

Highlights

  • It has been established that the wake of a turbine degrades the performance of second ones, which should be seriously considered in the design process of a wind farm [1]

  • Many kinds of wake models have been introduced [4], but the velocity profile in the wake is still impossible to visualize due to the spiral tip vortex and turbulence with high vorticity, and the unsteady flow and the yaw error make this problem more difficult [3,21]

  • We aim to develop a reliable and economic method that is apower semi-analytical independent input parameters, based on momentum theory, are tuned with a wind tunnel test and model whose resultant correlations that can be used in the field of wind power industry

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Summary

Introduction

It has been established that the wake of a turbine degrades the performance of second ones, which should be seriously considered in the design process of a wind farm [1]. Computational fluid dynamics (CFD) is a kind of feasible method for terrain-coupled problems [10] or especially interactions of vortices in the wake region of turbines [11]. We aim to develop a reliable and economic method that is apower semi-analytical independent input parameters, based on momentum theory, are tuned with a wind tunnel test and LES model whose resultant correlations that can be used in the field of wind power industry. Two data for a scaledinput model, which is extended a wake-interaction problem a simple of independent parameters, based on to momentum theory, are tuned by with a windsuperposition tunnel test and boundary condition with. LES data for a scaled model, which is extended to a wake-interaction problem by a simple range, validated of with a real turbine arraywith in anRANS existing wind superposition boundary condition. Parametric study is done to obtain a correlation for a wide range, validated with a real turbine array in an existing wind farm

Implementation the Numerical
Classical Momentum Theory
CFD Model
Mesh average error of analysis analysis and and experiment experiment
Conclusive
Full Text
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