Document Type
Article
Rights
Available under a Creative Commons Attribution Non-Commercial Share Alike 4.0 International Licence
Disciplines
Applied mathematics, Statistics, Energy and fuels
Abstract
The power quality of a wind turbine is determined by many factors but time-dependent 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.
DOI
https://doi.org/10.21427/D7W52R
Recommended Citation
Blackledge ,J., Coyle ,E., Kearney, D.:A Stochastic Model for Wind Turbine Power Quality using a Levy Index Analysis of Wind Velocity Data.The Third International Conference on Resource Intensive Applications and Services - Submitted, Venice, Italy, 22 - 27 May, 2011
Included in
Applied Statistics Commons, Dynamical Systems Commons, Natural Resources and Conservation Commons, Oil, Gas, and Energy Commons, Statistical Models Commons
Publication Details
The Third International Conference on Resource Intensive Applications and Services - Submitted, Venice, Italy, 22 - 27 May, 2011