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Subject = Levy index;
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Displaying Results 1  7 of 7 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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Analysis of Wind Velocity and the Quantification of Wind Turbulence in Rural and Urban Environments Using the Levy Index and Fractal Dimension
(2012)
Blackledge, Jonathan; Coyle, Eugene; McCoy, Niall; Kearney, Derek; Sunderland, Keith; W...
Analysis of Wind Velocity and the Quantification of Wind Turbulence in Rural and Urban Environments Using the Levy Index and Fractal Dimension
(2012)
Blackledge, Jonathan; Coyle, Eugene; McCoy, Niall; Kearney, Derek; Sunderland, Keith; Woolmington, Thomas
Abstract:
This paper is concerned with a quantitative and comparative analysis of wind velocities in urban and rural environments. It is undertaken to provide a route to the classification of wind energy in a rural and urban setting. This is a common problem and the basis of a significant focus of research into wind energy. In this paper, we use a nonGaussian statistical model to undertake this task, and, through a further modification of the data analysis algorithms used, extend the model to study the effect of wind turbulence, thereby introducing a new metric for this effect that is arguably superior to a more commonly used and qualitatively derived measure known as the Turbulence Intensity. Starting from Einstein’s evolution equation for an elastic scattering process, we consider a stochastic model for the wind velocity that is based on the Generalised Kolmogorov Feller Equation. For a specific ‘memory function’  the MittagLeffler function  it is shown that, under specified conditions,...
https://arrow.dit.ie/engscheleart2/67
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Analysis of Wind Velocity Signals for Estimating the Wave Power Density of Ireland's Coastal Resource
(2012)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek; McGuirk, Ronan
Analysis of Wind Velocity Signals for Estimating the Wave Power Density of Ireland's Coastal Resource
(2012)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek; McGuirk, Ronan
Abstract:
The aim of this paper is to report on a possible correlation between the Lévy index for the wind velocity and the mean Energy Density of sea surface waves in the same location. The result is based on data obtained from six buoys located around the coast of Ireland and maintained by the Marine Institute of Ireland. These buoys provide signals on the wind velocity, wave height and wave period as well as other data on an hourly interval. Using this data, we consider the relationship between a stochastic model for the time variations in wave height that, in turn, is based on a nonGaussian model for the wind force characterized by the Lévy index. Although the results presented in this paper can not be said to statistically significant due to the limited amount of data that is available (i.e. the Marine Institute of Ireland only maintains six buoys around the coast of Ireland) they indicate the possibility of developing a method of accurately estimating the energy and power densities of ...
https://arrow.dit.ie/engscheleart2/49
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Energy Commodities Trading Using a Phase Signal Derived from the Levy Index of Price and Volatility
(2012)
Blackledge, Jonathan; Kearney, Derek; Farrell, Claire; Kearney, Grace
Energy Commodities Trading Using a Phase Signal Derived from the Levy Index of Price and Volatility
(2012)
Blackledge, Jonathan; Kearney, Derek; Farrell, Claire; Kearney, Grace
Abstract:
Energy traders need to decide what markets and commodities to trade in, when to open and close trades and how to maximize profits. In this paper we consider an approach for analyzing energy commodity price data based on the Lévy index in order to develop a new shortterm predictive trend indicator for the price. This is achieved by computing the unwrapped phase signal generated from the Lévy index of both the Stochastic Volatility and price and is evaluated using data from the Irish Energy Market, namely, time series for the price of Electricity, Gas and Oil. The initial results show the predictive hypothesis holds true and algorithms are developed for implementation on an open source trading platform (Alpari MetaTrader4) which includes a range of energy commodities. This is used to demonstrate the potential of the approach in support of energy commodities trading compounded in a set of prototype MetaQuotes Language 4 (MQL4) Apps which can be downloaded and evaluated further by inte...
https://arrow.dit.ie/engscheleart2/61
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Estimation of Wave Energy from Wind Velocity
(2013)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek; McGuirk, Ronan; Norton, Brian
Estimation of Wave Energy from Wind Velocity
(2013)
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek; McGuirk, Ronan; Norton, Brian
Abstract:
The aim of this paper is to report on a possible correlation between the Levy index for wind velocity and the mean Energy Density of sea surface waves in the same location. The result is based on data obtained from 6 buoys located around the coast of Ireland and maintained by the Marine Institute of Ireland and a further 144 buoys located at various locations off the coast of the United States of America and maintained by the National Data Buoy Centre. These buoys provide historical data on the wind velocity, wave height and wave period as well as other data on an hourly interval. Using this data, we consider the relationship between a stochastic model for the time variations in wave height that in turn, is based on a nonGaussian model for the wind force characterised by the Ĺevy index. The results presented in this paper indicate the possibility of developing a method of estimating the energy and power densities of sea waves from knowledge of the wind velocity alone.
https://arrow.dit.ie/engscheleart2/64
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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  7 of 7 on page 1 of 1
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