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Theoretical Calculation of Wind (Or Water) Turbine: Extending the Betz Limit
The Betz limit sets a theoretical upper limit for the power production by turbines expressed as a maximum power coefficient of 16/27. Betz’s theory is accurate and it is based on the calculation of kinetic energy.
Pierre Lecanu +3 more
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Interacting self-avoiding polygons [PDF]
We consider a system of self-avoiding polygons interacting through a potential that penalizes or rewards the number of mutual touchings and we provide an exact computation of the critical curve separating a regime of long polygons from a regime of ...
Betz, Volker +2 more
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A large-eddy simulation analysis of collective wind farm axial-induction set points in the presence of blockage [PDF]
Over the past few years, numerous studies have shown the detrimental impact of flow blockage on wind farm power production. In the present work, we investigate the benefits of a simple collective axial-induction set point strategy for power maximization ...
T. Delvaux, J. Meyers
doaj +1 more source
Stable states of perturbed Markov chains [PDF]
Given an infinitesimal perturbation of a discrete-time finite Markov chain, we seek the states that are stable despite the perturbation, \textit{i.e.} the states whose weights in the stationary distributions can be bounded away from $0$ as the noise ...
Betz, Volker, Roux, Stephane Le
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Theoretical Analysis of Shrouded Horizontal Axis Wind Turbines
Numerous analytical studies for power augmentation systems can be found in the literature with the goal to improve the performance of wind turbines by increasing the energy density of the air at the rotor.
Tariq Abdulsalam Khamlaj +1 more
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The Diffuser Augmented Wind Turbines (DAWTs) have been widely studied, since the diffusers improve the power coefficient of the wind turbine, particularly of small systems.
DISTERFANO L.M. BARBOSA +5 more
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Gibbs measures with double stochastic integrals on a path space [PDF]
We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic ...
Betz, Volker, Hiroshima, Fumio
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Power Coefficient for Large Wind Turbines Considering Wind Gradient Along Height
The Betz constant is the well-known aerodynamic limit of the maximum power which can be extracted from wind using wind turbine technologies, under the assumption that the wind speed is uniform across a blade disk. However, this condition may not hold for
Saroj Biswas, Jim Shih-Jiun Chen
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Variable Pitch Darrieus Water Turbines
In recent years the Darrieus wind turbine concept has been adapted for use in water, either as a hydrokinetic turbine converting the kinetic energy of a moving fluid in open flow like an underwater wind turbine, or in a low head or ducted arrangement ...
Brian KIRKE, Leo LAZAUSKAS
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The Lanchester–Betz–Joukowsky limit
AbstractThe maximum efficiency of an ideal wind turbine rotor is well known as the ‘Betz limit’, named after the German scientist that formulated this maximum in 1920. In 1976, Bergey showed that the British scientist Lanchester derived the same maximum already in 1915. Betz and Lanchester were representatives of leading aerodynamic research schools in
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