2014
DOI: 10.5194/npg-21-379-2014
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Multiscaling and joint multiscaling description of the atmospheric wind speed and the aggregate power output from a wind farm

Abstract: Abstract. We consider here wind speed time series and the aggregate output wind power from a wind farm. We study their scaling statistics in the framework of fully developed turbulence and Kolmogorov's theory. We estimate their Fourier power spectra and consider their scaling properties in the physical space. We show that the atmospheric wind speed and the aggregate power output from a wind farm are intermittent and multifractal over a wide range of scales. The coupling between simultaneous data of the wind sp… Show more

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Cited by 57 publications
(31 citation statements)
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“…This is due to the fact that the ESS can handle whole WP fluctuation as the capacity of ESS is large enough. And we also relates the average wind power since that value can affect level of the WP fluctuation as described in Equation (5). From these considerations of average wind speed and capacity of an ESS in the formulation of parameter k d , we can adapt this formulation to different size of WT or ESS using above Equation (8).…”
Section: Proposed Control Strategymentioning
confidence: 99%
See 1 more Smart Citation
“…This is due to the fact that the ESS can handle whole WP fluctuation as the capacity of ESS is large enough. And we also relates the average wind power since that value can affect level of the WP fluctuation as described in Equation (5). From these considerations of average wind speed and capacity of an ESS in the formulation of parameter k d , we can adapt this formulation to different size of WT or ESS using above Equation (8).…”
Section: Proposed Control Strategymentioning
confidence: 99%
“…As the value of the WP penetration increases, power systems have lower inertia and the power fluctuation from a wind turbine (WT) can reduce the power quality, sometimes leading to severe stability problems. Since WP is a stochastic process [3] highly dependent on turbulent fluctuations in wind speed [4,5], many studies have been carried out to integrate WP successfully without causing stability problems. To improve the stability when WP is integrated into a power system with high penetration, different methods for grid frequency regulation have been studied.…”
Section: Introductionmentioning
confidence: 99%
“…where k is an integer different from i, randomly chosen from the range [1,SN], and φ i,j is a random number from [−1, 1]. If the updated solution has better nectar than the old one, the employed bee will memorize the new solution and discard the old one.…”
Section: Original Abc Algorithmmentioning
confidence: 99%
“…With the increasing penetration level of wind power, challenges from the variability and uncertainty, more precisely from the stochasticity of wind power [1,2], of wind power to power system reliability have been reported by researchers and system operators [3]. One way to mitigate the effect of variability and uncertainty of wind power on the optimal power flow (OPF) is to solve the stochastic dynamic ACOPF problem by considering many possible wind power forecasting scenarios, which are generally synthesized using Monte Carlo simulation [4].…”
Section: Introductionmentioning
confidence: 99%
“…As one kind of the rapidly growing renewable energy sources, wind energy has been recognized as an attractive alternative to conventional fossil fuels due to several advantages, including renewability and pollution-free environment [2]. However, wind power is recognized as a stochastic process [3] because of the intermittent and multi-scale characteristics of wind speed fluctuation [4,5]. With the increasing penetration of wind power in electric grids, this presents a number of challenges to power system operation, both technically and economically [6].…”
Section: Introductionmentioning
confidence: 99%