Fractal modelling of various wind characteristics for application in a cybernetic model of a wind turbine

Authors:
Marzena Bielecka;Tomasz Barszcz;Andrzej Bielecki;Mateusz Wójcik
Affiliations:
Department of Geoinformatics and Applied Computer Science, Faculty of Geology, Geophysics and Environmental Protection, AGH University of Science and Technology, Cracow, Poland;Chair of Robotics and Mechatronics, Faculty of Mechanical Engineering and Robotics, AGH University of Science and Technology, Kraków, Poland;Institute of Computer Science, Jagiellonian University, Cracow, Poland;Department of Computer Design and Graphics, Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University, Kraków, Poland
Venue:
ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part II
Year:
2012

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Abstract

The Weierstrass functions family, which graphs are fractal sets, in combination with medium-term trends, is used as the basis of the model of wind. Various aspects of wind variability, neglected in models proposed so far, are taken into considerations. A genetic algorithm is used in order to fit the proper parameters of Weierstrass function. Fractal dimension is utilized as a parameter in a fitness function. The results have shown that the proposed approach yielded very good fit for the observation data.