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Subject = nonGaussian statistics;
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Displaying Results 1  3 of 3 on page 1 of 1
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A Stochastic Model for Wind Turbine Power Quality using a Levy Index Analysis of Wind Velocity Data
(2011)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek
A Stochastic Model for Wind Turbine Power Quality using a Levy Index Analysis of Wind Velocity Data
(2011)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek
Abstract:
The power quality of a wind turbine is determined by many factors but timedependent variation in the wind velocity are arguably the most important. After a brief review of the statistics of typical wind speed data, a non Gaussian model for the wind velocity is introduced that is based on a Levy distribution. It is shown how this distribution can be used to derive a stochastic fractional diusion equation for the wind velocity as a function of time whose solution is characterised by the Levy index. A Levy index numerical analysis is then performed on wind velocity data for both rural and urban areas where, in the latter case, the index has a larger value. Finally, an empirical relationship is derived for the power output from a wind turbine in terms of the Levy index using Betz law.
https://arrow.dit.ie/engscheleart/146
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NonGaussian Analysis of Wind Velocity Data for the Determination of Power Quality Control
(2011)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek
NonGaussian Analysis of Wind Velocity Data for the Determination of Power Quality Control
(2011)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek
Abstract:
The quality of power (i.e. the sustainable power output as a function time) of any wind dependent energy converter (including wind turbines and wave energy converters) is determined by many design and environmental factors but timedependent variations in the wind speed are arguably the most important. In this paper we consider a nonGaussian model for analysing and then simulating wind velocity data. In particular, we consider a Lévy distribution for the statistical characteristics of wind velocity and show how this distribution can be used to derive a stochastic fractional diffusion equation for the wind velocity as a function of time whose solution is characterised by the L´evy index. A L´evy index based numerical analysis is then performed on wind velocity data for both rural and urban areas where, in the latter case, the index is shown to have a larger value. Finally, an empirical relationship is derived for the power output from a wind turbine in terms of the L´evy index using ...
https://arrow.dit.ie/engscheleart2/51
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Wind Turbine Power Quality Estimation Using a Lévy Model for Wind Velocity Data
(2011)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek Joseph
Wind Turbine Power Quality Estimation Using a Lévy Model for Wind Velocity Data
(2011)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek Joseph
Abstract:
The power quality of a wind turbine is determined by many factors but timedependent variation in the wind velocity are arguably the most important. In this paper a nonGaussian model for the wind velocity is introduced that is based on a Lévy distribution. It is shown how this distribution can be used to derive a stochastic fractional diffusion equation for the wind velocity as a function of time whose solution is characterised by the Lévy index. A numerical method for computing the L´evy index from wind velocity time series is introduced and applied to example wind velocity data for both rural and urban areas where, in the latter case, the index is observed to have a larger value. Finally, an empirical relationship is derived for the power output from a wind turbine in terms of the Lévy index using Betz law.
https://arrow.dit.ie/engscheleart/182
Displaying Results 1  3 of 3 on page 1 of 1
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