Abstract
We study the statistics of the horizontal component of atmospheric boundary layer wind speed and introduce a stochastic process which has similar properties. Motivated by the non-stationarity of wind velocity data, we describe statistical methods to verify the picture of natural atmospheric boundary layer turbulence to be composed of successively occurring close to ideal turbulence phases with different parameters. We focus on the fluctuation of wind speed around its mean behaviour and show that there is linear relationship between the standard deviation of the fluctuation and the current mean wind speed. Additionally, we analyse the increment statistics and investigate the time dependence of the parameters describing the increment distribution. Noting that the first order geometric auto regressive process has similar statistical properties, we investigate this similarity and analyse the extent to which this stochastic process is a suitable model for wind speed simulation.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R. Thuillier, U.O. Lappe, J. Appl. Meteor. 3, 299 (1964)
T. Burton, D. Sharpe, N. Jenkins, E. Bossanyi, Wind Energy Handbook (John Wiley, 2004)
T. Laubrich, F. Ghasemi, J. Peinke, H. Kantz [arXiv:0811.3337] (2008)
T. Laubrich, H. Kantz (2009) (to be published)
Lammefjord, Lammefjord data obtained from the Risø National Laboratory in Denmark, http://www.risoe.dk/vea, through http://www.winddata.com. (1987)
J.M. Wallace, P.V. Hobbs, Atmospheric Science (Academic Press Elsevier, 2006)
U. Frisch, Turbulence (Cambridge University Press, 1995)
S.B. Pope, Turbulent Flows (Cambridge University Press, 2000)
G. Taylor, Proc. R. Soc. London Ser. A 164, 476 (1938)
R. Stull, An Introduction to Boundary Layer Meteorology (Springer, 1999)
C. Renner, J. Peinke, R. Friedrich, J. Fluid Mech. 433, 383 (2001)
A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 30, 299 (1941)
A.N. Kolmogorov, Dokl. Akad. Nauk SSSR 32, 16 (1941)
A.N. Kolmogorov, J. Fluid Mech. 13, 82 (1962)
B. Castaing, Y. Gagne, E.J. Hopfinger, Physica D 46, 177 (1990)
F. Boettcher, C. Renner, H.P. Waldl, J. Peinke, Bound.-Layer Meteor. 108, 163 (2003)
F. Boettcher, S. Barth, J. Peinke, Stoch. Environ. Res. Risk Assess. 21, 299 (2007)
C. Beck, E.G.D. Cohen, Physica A 322, 267 (2003)
C. Beck, E.G.D. Cohen, H. Swinney, Phys. Rev. E 72, 056133 (2005)
S.M.D. Queiros, Physica A 385, 191 (2007)
C. Beck, E.G.D. Cohen, S. Rizzo, Europhysics News 36, 189 (2005)
W. Daniel, Applied Nonparametric Statistics (PWS-Kent, 1990)
L. Miller, J. Amer. Statist. Assoc. 51, 111 (1956)
C.W.J. Granger, P. Newbold, J. R. Statist. Soc. Ser. B 38, 189 (1976)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License ( https://creativecommons.org/licenses/by-nc/2.0 ), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Laubrich, T. Statistical analysis and stochastic modelling of boundary layer wind speed. Eur. Phys. J. Spec. Top. 174, 197–206 (2009). https://doi.org/10.1140/epjst/e2009-01100-1
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2009-01100-1