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A Stochastic Model for Wind Turbine Power Quality using a Levy Index Analysis of Wind Velocity Data
Blackledge, Jonathan; Coyle, Eugene; Kearney, Derek
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.
Keyword(s): Wind turbine power quality; stochastic wind velocity model; non-Gaussian statistics; Levy index; Applied Statistics; Dynamical Systems; Natural Resources and Conservation; Oil, Gas, and Energy; Statistical Models
Publication Date:
Type: Journal article
Peer-Reviewed: Unknown
Institution: Dublin Institute of Technology
Citation(s): Conference papers
Publisher(s): Dublin Institute of Technology
File Format(s): application/pdf
First Indexed: 2011-01-25 05:38:44 Last Updated: 2017-12-14 06:48:13