Uncertainties of the 50-year wind from short time series using generalized extreme value distribution and generalized Pareto distribution
Article first published online: 10 DEC 2013
© 2013 The Authors. Wind Energy published by John Wiley & Sons, Ltd.
This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
Volume 18, Issue 1, pages 59–74, January 2015
How to Cite
2015), Uncertainties of the 50-year wind from short time series using generalized extreme value distribution and generalized Pareto distribution, Wind Energ., 18, pages 59–74. doi: 10.1002/we.1683, , , and (
- Issue published online: 15 DEC 2014
- Article first published online: 10 DEC 2013
- Manuscript Revised: 27 SEP 2013
- Manuscript Accepted: 27 SEP 2013
- Manuscript Received: 30 MAY 2013
- the 50-year wind;
- generalized extreme value distribution;
- generalized Pareto distribution;
This study examines the various sources to the uncertainties in the application of two widely used extreme value distribution functions, the generalized extreme value distribution (GEVD) and the generalized Pareto distribution (GPD). The study is done through the analysis of measurements from several Danish sites, where the extreme winds are caused by the Atlantic lows. The simple extreme wind mechanism here helps us to focus on the issues mostly related to the use of limited wind measurements. Warnings are flagged and possible solutions are discussed. Thus, this paper can be used as a guideline for applying GEVD and GPD to wind time series of limited length. The data analysis shows that, with reasonable choice of relevant parameters, GEVD and GPD give consistent estimates of the return winds. For GEVD, the base period should be chosen in accordance with the occurrence of the extreme wind events of the same mechanism. For GPD, the choices of the threshold, the definition of independent samples and the shape factor are interrelated. It is demonstrated that the lack of climatological representativity is a major source of uncertainty to the use of both GEVD and GPD; the information of climatological variability is suggested to be extracted from global or mesoscale models. © 2013 The Authors. Wind Energy published by John Wiley & Sons, Ltd.