A simple vortex model applied to an idealized rotor in sheared inflow

Mac Gaunaa*, Niels Troldborg, Emmanuel Branlard

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

29 Downloads (Pure)

Abstract

A simple analytical vortex model is presented and used to study an idealized wind turbine rotor in uniform and sheared inflow, respectively. Our model predicts that 1D momentum theory should be applied locally when modelling a non-uniformly loaded rotor in a sheared inflow. Hence the maximum local power coefficient (expressed with respect to the local, upstream velocity) of an ideal rotor is not affected by the presence of shear. We study the interaction between the wake vorticity generated by the rotor and the wind shear vorticity and find that their mutual interaction results in no net generation of axial vorticity: the wake effects and the shear effects exactly cancel each other out. This means that there are no resulting cross-shear-induced velocities and therefore also no cross-shear deflection of the wake in this model.
Original languageEnglish
JournalWind Energy Science
Volume8
Issue number4
Pages (from-to)503-513
Number of pages11
ISSN2366-7443
DOIs
Publication statusPublished - 2023

Fingerprint

Dive into the research topics of 'A simple vortex model applied to an idealized rotor in sheared inflow'. Together they form a unique fingerprint.

Cite this