Tip loss corrections for wind turbine computations

Shen, Wen Zhong; Mikkelsen, Robert Flemming; Sørensen, Jens Nørkær; Bak, Christian

doi:10.1002/we.153

Cited by 368 publications

(277 citation statements)

References 6 publications

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“…The relative velocity U rel is defined from the velocity triangle, as sketched in Figure 3, that is a function of the axial velocity Ux, the rotational velocity U θ , the angular rotational speed Ω in radians per second and the radial coordinate r. ϕ is the angle between U rel and the rotor plane that, together with the local pitch angle γ (sum of the blade pitch angle and local twist), defines the local angle of attack α. To account for a finite number of the blades, the tip correction of Shen et al [21,22] used, in which λ is the tip speed ratio, R is the blade radius and ci are empirical constants. Shen et al determined the constants ci from a calibration with two small experimental wind turbine rotors that have a relatively blunt tip, leading to c2 = 21.…”

Section: Methods Iii: Ad Airfoil Methods (With Torque Calibration)mentioning

confidence: 99%

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

et al. 2014

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The newly developed k‐ε‐fP eddy viscosity model is applied to double wind turbine wake configurations in a neutral atmospheric boundary layer, using a Reynolds‐Averaged Navier–Stokes solver. The wind turbines are represented by actuator disks. A proposed variable actuator disk force method is employed to estimate the power production of the interacting wind turbines, and the results are compared with two existing methods: a method based on tabulated airfoil data and a method based on the axial induction from 1D momentum theory. The proposed method calculates the correct power, while the other two methods overpredict it. The results of the k‐ε‐fP eddy viscosity model are also compared with the original k‐ε eddy viscosity model and large‐eddy simulations. Compared to the large‐eddy simulations‐predicted velocity and power deficits, the k‐ε‐fP is superior to the original k‐ε model. Copyright © 2014 John Wiley & Sons, Ltd.

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Section: Methods Iii: Ad Airfoil Methods (With Torque Calibration)mentioning

confidence: 99%

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

et al. 2014

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“…Therefore, this study considers the blade surface pressure distribution, for the initial topology optimization design of wind turbine blade. Combined with the aerodynamic data calculated by RFOIL software and the theory of momentum leaf [7], the pressure distribution data of each airfoil section under normal operating conditions can be obtained. The aerodynamic pressure acting on the blade can be obtained according to equation (1):…”

Section: Aerodynamic Load and Boundary Conditionsmentioning

confidence: 99%

Topology Optimal Design of Wind Turbine Blades Considering Aerodynamic Load

Wang¹,

Hong²,

Qin³

et al. 2017

Proceedings of the 3rd 2017 International Conference on Sustainable Development (ICSD 2017)

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Abstract. For the conceptual design problem of the complex blade aerodynamic structure, the parametric finite element model of the wind turbine blade was established using 3D blade integrated expressed functions. The blade section topology structure technology which can solve the whole hexahedral grid problem for the solid blade was presented. Based on the modified blade element momentum theory, the aerodynamics were loaded to the blade surface. A procedure combining MATLAB and APDL to put the pressure distribution on the blade finite element model is developed. The solid blade model which the objective function was the minimum weight was optimized. Compared with the traditional blade structure, the location of main beams with no web for the optimized blade which exhibit asymmetric property were near to blade leading edge. Moreover, the trailing edge of the newly blade had reinforced structure. The newly topology structure of the blades had important guiding significance for the sizing optimization of wind turbine blades.

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“…It is thus not surprising that Blade Element Momentum methods (simply, BEM) originally developed for wind turbines are extensively used for analysis and design of tidal and ocean current turbines, see e.g., [1]. BEM provides fast and reliable estimates of turbine performance if suitable tuning is applied to overcome important methodology weaknesses [2,3]. Specifically, blade loading is derived by prescribed lift and drag properties of two-dimensional profiles and semi-empirical three-dimensional flow corrections are necessary to account for blade tip effects, blade/hub interaction, number of blades.…”

Section: Introductionmentioning

confidence: 99%

Marine Turbine Hydrodynamics by a Boundary Element Method with Viscous Flow Correction

Salvatore¹,

Sarichloo²,

Calcagni³

2018

JMSE

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A computational methodology for the hydrodynamic analysis of horizontal axis marine current turbines is presented. The approach is based on a boundary integral equation method for inviscid flows originally developed for marine propellers and adapted here to describe the flow features that characterize hydrokinetic turbines. For this purpose, semi-analytical trailing wake and viscous flow correction models are introduced. A validation study is performed by comparing hydrodynamic performance predictions with two experimental test cases and with results from other numerical models in the literature. The capability of the proposed methodology to correctly describe turbine thrust and power over a wide range of operating conditions is discussed. Viscosity effects associated to blade flow separation and stall are taken into account and predicted thrust and power are comparable with results of blade element methods that are largely used in the design of marine current turbines. The accuracy of numerical predictions tends to reduce in cases where turbine blades operate in off-design conditions.

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Tip loss corrections for wind turbine computations

Cited by 368 publications

References 6 publications

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

Topology Optimal Design of Wind Turbine Blades Considering Aerodynamic Load

Marine Turbine Hydrodynamics by a Boundary Element Method with Viscous Flow Correction

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Tip loss corrections for wind turbine computations

Cited by 368 publications

References 6 publications

Thek-ε-fPmodel applied to double wind turbine wakes using different actuator disk force methods

Thek-ε-fPmodel applied to double wind turbine wakes using different actuator disk force methods

Topology Optimal Design of Wind Turbine Blades Considering Aerodynamic Load

Marine Turbine Hydrodynamics by a Boundary Element Method with Viscous Flow Correction

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Product

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Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods

Thek-ε-f_Pmodel applied to double wind turbine wakes using different actuator disk force methods