Wind power variations in time domain: Introducing a waiting time probabilistic distribution
DOI:
https://doi.org/10.33910/2687-153X-2026-7-3-144-151Keywords:
wind power, stochastic approach, waiting time distribution, Weibull distribution, fractional dynamicsAbstract
Time-dependent changes in wind speed (WS) observed at different locations in East Timor and Japan are analyzed using a statistical approach in the time domain. The WS histogram is approximated to be the Weibull distribution at two different locations. The reason why the histogram follows the Weibull distribution will be discussed through a generalization of the Rayleigh distribution which has been originally applied to the scattering of the electromagnetic wave. It is also found that the waiting time probability density for WS, defined as the time spent by the wind speed below or above a given threshold value, is presented by a power-law scaling with time as t–α (α < 2.5), which will be associated with long-term correlations, but not a Poisson-type distribution. A new concept of fractional dynamics within the stochastic analysis of WS will be presented.
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Copyright (c) 2026 Vital de Jesus Ximenes, Abelito Filipe Belo, Koichi Shimakawa
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