2017
DOI: 10.1103/physreve.96.063117
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Towards uncovering the structure of power fluctuations of wind farms

Abstract: The structure of the turbulence-driven power fluctuations in a wind farm is fundamentally described from basic concepts. A derived tuning-free model, supported with experiments, reveals the underlying spectral content of the power fluctuations of a wind farm. It contains two power-law trends and oscillations in the relatively low- and high-frequency ranges. The former is mostly due to the turbulent interaction between the flow and the turbine properties, whereas the latter is due to the advection between turbi… Show more

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Cited by 37 publications
(44 citation statements)
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“…After all, it is not possible to respect the atmospheric turbulence through Richards and Norris turbulence boundary conditions and to obtain realistic turbulence behavior on the HAWT blade with the common two‐equation turbulence model in one U‐RANS computation at the same time. The purpose of the U‐RANS computation has either to be the precise prediction of the wake recovery process by defining the turbulence according to Richards and Norris or of the rotor loads in an ABL inflow profile by artificially fixing the turbulence quantities …”
Section: Resultsmentioning
confidence: 99%
“…After all, it is not possible to respect the atmospheric turbulence through Richards and Norris turbulence boundary conditions and to obtain realistic turbulence behavior on the HAWT blade with the common two‐equation turbulence model in one U‐RANS computation at the same time. The purpose of the U‐RANS computation has either to be the precise prediction of the wake recovery process by defining the turbulence according to Richards and Norris or of the rotor loads in an ABL inflow profile by artificially fixing the turbulence quantities …”
Section: Resultsmentioning
confidence: 99%
“…The first region, at frequencies 1< f / f 0 <10 3 , is similar to the inertial range in Kolmogorov's spectra, with the energy decaying as f −5/3 . As suggested by previous studies, the power variation can be expressed as P=CUfalse(tfalse)+scriptOfalse(Ufalse(tfalse)2,Ufalse(tfalse)3false), where the prime symbol (') denotes fluctuation and C=3false/2ρACPtrueU2. Therefore, the fluctuation of the power is a linear function of velocity fluctuations plus higher‐order terms that can be neglected as an approximation.…”
Section: Power Production and Its Variabilitymentioning
confidence: 98%
“…Spectra of the fluctuation of the power production; A, comparison of (_________) individual turbines and (_ _ _ _) cumulative power spectra: () WRF D 5 domain, () domain D 6− H R (UTD‐WF); B, comparison of the spectra of the power production of the cumulative power against the analytical models of () Liu et al in equation and () Bossuyt et al [Colour figure can be viewed at wileyonlinelibrary.com]…”
Section: Power Production and Its Variabilitymentioning
confidence: 99%
“…Except flow velocity distributions shown in Figure 15, turbulent intensity is another index of evaluating upstream flow quality in the water or wind tunnel. This is related to the fact that turbulent fluctuations are important in determining the performance of the rotor [50]. In addition, with existing experimental facilities and apparatus, static pressure distribution near the rotor cannot be obtained [51].…”
Section: Upstream Flow In Tunnelsmentioning
confidence: 98%