Weibull-k Revisited: “Tall” Profiles and Height Variation of Wind Statistics

• DOI: 10.1007/s10546-014-9915-5
• Publication Date: 2014-03-18T06:33:36Z
• Authors: Mark Kelly; Ib Troen; Hans E. Jørgensen
• Keywords: Log wind profile; Roughness length; Shape parameter

The Weibull distribution is commonly used to describe climatological wind-speed distributions in the atmospheric boundary layer. While vertical profiles of mean wind speed layer have received significant attention, variation shape with height less understood. Previously we derived a probabilistic model based on similarity theory for calculating effects stability and planetary boundary-layer depth upon long-term profiles. However, some applications (e.g. energy estimation) require parameter (k), as well speed. Towards aim improving predictions Weibull- $$k$$ profile, develop expressions profile variance speed, including method extending our wind-profile theory; together these two lead Weibull-shape parameter. Further, an alternate made, basis set forth by Wieringa (Boundary-Layer Meteorol, 1989, Vol. 47, 85–110), connecting newly-corrected corollary perturbed geostrophic-drag Troen Petersen (European Wind Atlas, Risø National Laboratory, Roskilde). Comparing models Weibull-k profiles, new interpretation explanation given distributions. Results modelling are shown number sites, discussion models’ efficacy applicability. latter includes comparative evaluation Wieringa-type empirical perturbed-geostrophic forms regard surface-layer behaviour, heights where variability not dominated surface effects.