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Wind and Wave Power Quality Estimation using a Levy Statistical Analysis of the Wind Velocity

Authors:
Jonathan Blackledge
Eugene Coyle
Derek Kearney

Keywords: Complex RIAS, Electrical power systems, Wind turbines, Stochastic wind velocity model, Non-Gaussian statistics, Levy index, Power quality control

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 diffusion equation for the wind velocity as a function of time whose solution is characterized by the L'evy index. A L'evy 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, empirical relationships are derived for the power output from a wind turbine in terms of the Levy index using Betz law and for an idealized wave energy converter.

Pages: 10 to 15

Copyright: Copyright (c) IARIA, 2011

Publication date: May 22, 2011

Published in: conference

ISBN: 978-1-61208-135-9

Location: Venice/Mestre, Italy

Dates: from May 22, 2011 to May 27, 2011