Fractal Analysis of Wind Speed Fluctuations

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Fractal Analysis to Quantify Wind Speed Fluctuations Harrouni S.*  *Instrumentation Laboratory, Faculty of Electronics and Computer University of Science and Technology H. Boumediene (USTHB) P.O. Box 32, El-Alia, 16111 Algiers, Algeria (e-mail: sharrouni@yahoo.fr) Instantaneous variation of wind speed due to changes in the weather can lead to electrical power variations. Such fluctuations can cause instabilities in the wind energy systems production. To overcome these difficulties, it is necessary to quantify wind speed fluctuations. In this paper we propose measuring these fluctuations using the fractal dimension. To estimate this parameter the Rectangular Covering Method we already developed is used. The method applied to hourly wind speed of Quebec station provides information that allows us to characterize the wind speed variation at this location Keywords: Fractal dimension, rectangular covering method, Minkowski-Bouligand method, log-log plots, least squares estimation, wind speed, fluctuations, wind energy.  1. INTRODUCTION A major issue in the control and stability of wind energy production systems is to maintain the balance between generated and consumed power. Because of the fluctuating nature of wind speeds, the use of wind turbines for power generation has caused more focus on the fluctuations in the power production of the wind turbines. Indeed, instantaneous variation of wind speed due to changes in the weather can lead to electrical power variations. Lets recall that the wind power is dependent on the velocity of the wind to the third power, if the wind speed doubles, the power available from the wind increases by a factor of eight. Such fluctuations can cause instabilities in the wind energy systems production. Therefore, it is necessary to quantify the wind speed fluctuations. This paper presents a fractal approach to measure the wind

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