Abstract

Abstract. A wind turbine experiences an overshoot in loading after, for example, a collective step change in pitch angle. This overshoot occurs because the wind turbine wake does not immediately reach its new equilibrium, an effect usually referred to as dynamic inflow. Vortex cylinder models and actuator disc simulations predict that the time constants of this dynamic inflow effect should decrease significantly towards the blade tip. As part of the NASA Ames Phase VI experiment, pitch steps have been performed on a turbine in controlled conditions in the wind tunnel. The measured aerodynamic forces from these experiments seemed to show much less radial dependency of the dynamic inflow time constants than expected when pitching towards low loading. Moreover the dynamic inflow effect seemed fundamentally different when pitching from low to high loading, and the reason for this behavior remained unclear in previous analyses of the experiment. High-fidelity computational fluid dynamics and free-wake vortex code computations yielded the same behavior as the experiments. In the present work these observations from the experiments and high-fidelity computations are explained based on a simple vortex cylinder wake model.

Highlights

  • Models based on blade element momentum (BEM) theory are commonly used in aeroelastic wind turbine codes

  • In the National Renewable Energy Laboratory (NREL)/NASA Ames Phase VI Experiments by Hand et al (2001), a two-bladed wind turbine with 10 m diameter was placed in the NASA Ames open-loop wind tunnel

  • Results from the model show that the dynamic inflow response initially exhibits a strong radial dependency, but a short time after the step change in loading, the time constants for the different stations become similar, suggesting that two time constants are necessary for accurate modeling of dynamic inflow effects

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Summary

Introduction

Models based on blade element momentum (BEM) theory are commonly used in aeroelastic wind turbine codes. Schepers (2007) compared analytically derived time constants for dynamic inflow with time constants derived from experimental data from the NASA Ames Phase VI measurements (Hand et al, 2001) and numerical results from the free-wake vortex code AWSM (van Garrel, 2003). This comparison showed that the free-wake code could predict the dynamic variations in the turbine loading measured in the wind tunnel with high accuracy.

Previous analysis of NASA Ames experiments
Single time constant analysis by Schepers
Analysis of two time constants by Sørensen and Madsen
Induction due to cylindrical wake
Assumptions
Results from cylindrical wake model
Single time constant estimation
Influence of pitching direction
Conclusions

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