Extended Glauert Tip Correction to Include Vortex Rollup Effects

Wind turbine loads predictions by blade-element momentum theory using the standard tip-loss correction have been shown to over-predict loading near the blade tip in comparison to experimental data. This over-prediction is theorized to be due to the assumption of light rotor loading, inherent in the standard tip-loss correction model of Glauert. A higher- order free-wake method, WindDVE, is used to compute the rollup process of the trailing vortex sheets downstream of wind turbine blades. Results obtained serve an exact correction function to the Glauert tip correction used in blade-element momentum methods. It is found that accounting for the effects of tip vortex rollup within the Glauert tip correction indeed results in improved prediction of blade tip loads computed by blade-element momentum methods.

[1]  S. Ning,et al.  A simple solution method for the blade element momentum equations with guaranteed convergence , 2013 .

[2]  Néstor Ramos-García,et al.  A refined tip correction based on decambering , 2016 .

[3]  Raymond Chow,et al.  Verification of computational simulations of the NREL 5 MW rotor with a focus on inboard flow separation , 2012 .

[4]  Jean-Jacques Chattot DESIGN AND ANALYSIS OF WIND TURBINES USING HELICOIDAL VORTEX MODEL , 2002 .

[5]  Sven Schmitz,et al.  Methodology to Determine a Tip-Loss Factor for Highly Loaded Wind Turbines , 2017 .

[6]  David Charles Maniaci Wind turbine design using a free-wake vortex method with winglet application , 2013 .

[7]  Jens Nørkær Sørensen,et al.  Tip loss corrections for wind turbine computations , 2005 .

[8]  M. Gaunaa,et al.  Vortex methods to answer the need for improved understanding and modelling of tip-loss factors , 2013 .

[9]  Raymond Chow Computational Investigations of Inboard Flow Separation and Mitigation Techniques on Multi-Megawatt Wind Turbines , 2011 .

[10]  M. L. Buhl,et al.  New Empirical Relationship between Thrust Coefficient and Induction Factor for the Turbulent Windmill State , 2005 .

[11]  Emmanuel Branlard,et al.  Development of new tip-loss corrections based on vortex theory and vortex methods , 2014 .

[12]  J. Sørensen General Momentum Theory for Horizontal Axis Wind Turbines , 2015 .

[13]  D. Maniaci,et al.  Analytical method to determine a tip loss factor for highly-loaded wind turbine rotors , 2016 .

[14]  Jean-Jacques Chattot,et al.  Application of a 'Parallelized Coupled Navier -Stokes/Vortex - Panel Solver' to the NREL Phase VI Rotor , 2005 .

[15]  Sven Schmitz,et al.  A Solution-Based Stall Delay Model for Horizontal-Axis Wind Turbines , 2015 .

[16]  Blair J. Basom Inviscid Wind-Turbine Analysis Using Distributed Vorticity Elements , 2010 .

[17]  Mark D. Maughmer,et al.  Relaxed-Wake Vortex-Lattice Method Using Distributed Vorticity Elements , 2008 .