Exploration of an analytical, linear two-dimensional actuator disc model as basis for a general rotor induction model

H. Aa. Madsen*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


The state of the art BEM based aerodynamic and aeroelastic modelling is challenged by effects rising from the upscaling of wind turbine rotors such as non-planar rotor shapes due to increased blade bending and large instantaneous load variations over the rotor disc due to inflow turbulence and shear. This calls for new engineering aerodynamic modelling approaches. We present such a new approach by exploration of the implementation of an analytical 2-D actuator disc (AD) model called 2D l for use as a rotor induction model. The overall approach is to use superposition of an elementary analytical single yawed disc solution with a constant loading to build an arbitrary rotor shape and loading from several discs. This means that we have the basis for a simple integrated induction model without sub-models that can simulate the 2-D induction from an arbitrary rotor shape such as coning and in any yaw angle. In the paper we demonstrate the principles of how to generate the disc shape and loading on two coned rotors and on a 30 deg yawed rotor where the baseline is a modified version of the IEA-10.0-198 10MW reference wind turbine. We compare the results with the HAWC2 code and a recently developed code HAWC2-BEM-VC combining BEM and a vortex cylinder model for simulation of non-planar rotors. The results clearly show how important it is to include the lateral velocity component in both the coned and yawed flow cases as this velocity has a big impact on the velocity component normal to the disc which is closely related to loads on the rotor.
Original languageEnglish
Title of host publicationThe Science of Making Torque from Wind (TORQUE 2024): Aerodynamics, aeroleasticity, and aeroacustics
Number of pages10
PublisherIOP Publishing
Publication date2024
Article number022043
Publication statusPublished - 2024
EventThe Science of Making Torque from Wind (TORQUE 2024) - Florence, Italy
Duration: 29 May 202431 May 2024


ConferenceThe Science of Making Torque from Wind (TORQUE 2024)
SeriesJournal of Physics: Conference Series


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