2013
DOI: 10.1002/we.1594
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State‐space representation of the wind flow model in wind farms

Abstract: A dynamic model for the wind flow in wind farms is developed in this paper. The model is based on the spatial discretization of the linearized Navier-Stokes equation combined with the vortex cylinder theory. The spatial discretization of the model is performed using the finite difference method, which provides the state-space form of the dynamic wind farm model. The model provides an approximation of the behavior of the flow in the wind farm and obtains the wind speed in the vicinity of each wind turbine. Afte… Show more

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Cited by 33 publications
(26 citation statements)
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“…However, if the frequency contents of the tower thrust are assumed fixed, then the fatigue will be monotonic in the STD of the thrust. This is exactly what is shown in Biegel 69 (p. [32][33][34], in which the tower fatigue is plotted versus tower thrust variance, which shows a monotonic trend. The plotted data come from FAST simulations, in which the turbulence intensity is increased from 0.04 to 0.4, and everything else is fixed.…”
Section: The Importance Of the Objective Functionsupporting
confidence: 83%
See 1 more Smart Citation
“…However, if the frequency contents of the tower thrust are assumed fixed, then the fatigue will be monotonic in the STD of the thrust. This is exactly what is shown in Biegel 69 (p. [32][33][34], in which the tower fatigue is plotted versus tower thrust variance, which shows a monotonic trend. The plotted data come from FAST simulations, in which the turbulence intensity is increased from 0.04 to 0.4, and everything else is fixed.…”
Section: The Importance Of the Objective Functionsupporting
confidence: 83%
“…In Soleimanzadeh et al . , a positive correlation between measured yaw misalignment and WSs in the wake of five Nordex80 turbines is shown on the basis of full scale experimental data. This suggests that the wake really can be directed away from the row by yawing when the wind direction is along the row.…”
Section: Maximize Wind Farm Energymentioning
confidence: 99%
“…Static yaw control, in which upstream turbines intentionally misalign their rotors with incoming winds, has been proven as a promising approach to increasing power extraction, in numerical studies [25,26], but also in wind-tunnel tests [27,28] and full-scale field measurements [29,30]. Studies on dynamic yaw control however are much more scarce.…”
Section: Introductionmentioning
confidence: 99%
“…The derivation of a suitable model is thus a central contribution of this paper and we note that other authors, e.g. 18 have developed other simplified wind models. Importantly, the resulting model is dynamic, in the sense that it describes how the wind field evolves over time.…”
Section: Introductionmentioning
confidence: 99%