THE PARAMETRIC GENERALIZATION OF THE LOGISTIC DISTRIBUTION IN THE STATISTICAL ANALYSIS OF THE DYNAMICS OF WIND DIRECTION
https://doi.org/10.15518/isjaee.2015.17-18.005
Abstract
Found the statistical regularity in the chaotic dynamics of the wind direction. Made approximation of the density distribution of the increment of the angle of wind direction by generalization of the logistic distribution. The parameters of the approximating function is computed from the experimental data based on the method of least squares. The proposed consent of the approximating function with meteorological data tested using the goodness-of-fit Pearson and Kolmogorov tests.
About the Author
E. V. KaplyaRussian Federation
candidate of physical and mathematical sciences, docent faculty
«Automation of technological processes and productions» of the Volgzhky branch of Moscow power institute, leading researcher in laboratory of diagnostics and prediction of the Volgzhky branch of Moscow power institute
References
1. Gasch R., Twele J. Wind power plants: Fundamentals, design, construction and operation, 2 ed. Springer-Verlag Berlin Heidelberg, 2012.
2. Hansen M.O.L. Aerodynamics of wind turbines. 2nd ed., Earthscan, 2008.
3. Kaplâ E.V. Matematičeskaâ model' perehodnyh processov povorotno-lopastnoj vetroènergetičeskoj ustanovki // Matematičeskoe modelirovanie. 2013. T. 25, № 12. S. 33-43.
4. Vaisala weather transmitter WXT520. Helsinki: Vaisala, 2010.
5. Mahrt L. Surface wind direction variability // Journal of applied meteorology and climatology. 2011. Vol. 50. P. 144-152.
6. Аjvazân S.А., Enûkov I.S., Mešalkin L.D. Prikladnaâ statistika: Osnovy modelirovaniâ i pervičnaâ obrabotka dannyh. Sprav. izd. M.: Finansy i statistika, 1983.
7. Balakrishnan N. Handbook of the logistic distribution. New York: Marcel Dekker, 1992.
8. Ivčenko G.I., Medvedev Û.I. Matematičeskaâ statistika. M.: Vysš.šk., 1984.
9. Birnir B. The Kolmogorov-Obukhov theory of turbulence. A mathematical theory of turbulence. Springer, 2013.
10. Durbin P.A., Pettersson-Reif B.A. Statistical theory and modeling for turbulent flows. 2nd ed., John Wiley & Sons, Ltd., 2011.
11. Simiu E., Scanlan R.H. Wind effects on structures: fundamentals and applications to design. 3rd ed. New York: John Wiley & Sons Inc., 1996.
Review
For citations:
Kaplya E.V. THE PARAMETRIC GENERALIZATION OF THE LOGISTIC DISTRIBUTION IN THE STATISTICAL ANALYSIS OF THE DYNAMICS OF WIND DIRECTION. Alternative Energy and Ecology (ISJAEE). 2015;(17-18):42-47. (In Russ.) https://doi.org/10.15518/isjaee.2015.17-18.005