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.
Original language | English |
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Journal | The Third International Conference on Resource Intensive Applications and Services |
DOIs | |
Publication status | Published - 1 May 2011 |
Keywords
- power quality
- wind turbine
- wind velocity
- Levy distribution
- stochastic fractional diffusion equation
- Levy index
- Betz law