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https://doi.org/10.5194/wes-2018-59
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Research articles 10 Sep 2018

Research articles | 10 Sep 2018

Review status
This discussion paper is a preprint. It is a manuscript under review for the journal Wind Energy Science (WES).

A simple improvement of a tip loss model for actuator disc and actuator line simulations

Georg Raimund Pirrung and Maarten Paul van der Laan Georg Raimund Pirrung and Maarten Paul van der Laan
  • Wind Energy Department, Technical University of Denmark, Frederiksborgvej 399, 4000 Roskilde, Denmark

Abstract. The loading of a wind turbine decreases towards the blade tip due to the velocities induced by the tip vortex and due to the spanwise flow. This tip loss effect has to be taken into account when performing actuator disc simulations, where the single blades of the turbine are not modeled, and when performing actuator line simulations, where the resolution typically is not fine enough to properly resolve the tip vortex. A widely used method applies a factor on the axial and tangential loading of the turbine. This factor decreases when approaching the blade tip. It has been shown that the factor should be different for the axial and tangential loading of the turbine due to the rotation of the resulting force vector at the airfoil sections caused by the induced velocity. The present article contains the derivation of a simple correction for the tangential load factor that takes this rotation into account. The correction does not need any additional curve fitting but just depends on the local airfoil characteristics and angle of attack.

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Georg Raimund Pirrung and Maarten Paul van der Laan
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Georg Raimund Pirrung and Maarten Paul van der Laan
Georg Raimund Pirrung and Maarten Paul van der Laan
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Short summary
Wind turbine loading decreases towards the blade tip due to the velocities induced by the tip vortex and the spanwise flow. It has been shown that the tip loss factor applied on the aerodynamic forces should be different for the axial and tangential loading of the turbine due to the rotation of the resulting force vector caused by the induced velocity. The present article contains the derivation of a simple correction for the tangential load factor that takes this rotation into account.
Wind turbine loading decreases towards the blade tip due to the velocities induced by the tip...
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