28 Nov 2022
28 Nov 2022
Status: this preprint is currently under review for the journal WES.

Generalized analytical body force model for actuator disc computations of wind turbines

Jens Nørkær Sørensen Jens Nørkær Sørensen
  • Department of Wind and Energy Systems, Technical University of Denmark, Lyngby, 2800, Denmark

Abstract. A new generalized analytical model for representing body forces in numerical actuator disc models of wind turbines is proposed and compared to results from a Blade Element Momentum (BEM) model. The model is an extension of a previously developed load model, which was based on the rotor disc being subject to a constant circulation, modified for tip and root effects, corresponding to an optimum design case. By adding a parabolic circulation distribution, corresponding to a solid-body approach of the flow in the near-wake, it is possible to take into account losses associated with off-design cases, corresponding to pitch regulation at high wind speeds. The advantage of the model is that it does not depend on any detailed knowledge concerning the actual wind turbine being analysed, but only requires information about the thrust coefficient and tip speed ratio. The model is validated for different wind turbines operating under a wide range of operating conditions. The comparisons show generally an excellent agreement with the BEM model even at very small thrust coefficients and tip speed ratios.

Jens Nørkær Sørensen

Status: open (extended)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2022-108', Sven Schmitz, 03 Jan 2023 reply

Jens Nørkær Sørensen

Jens Nørkær Sørensen


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Short summary
The paper presents a simple analytical model that with surprisingly good accuracy represents the loading for virtually any horizontal axis wind turbine, independent of size and operating regime. The aim of the model is to have a simple tool that may represent the loading of any wind turbine without having access to the details regarding the specific geometry and airfoil data, an information that normally is kept confidential by the manufacturer of the turbine.