FECT

Abstract: Worldwide wind power generation is now increasing significantly, although it is not stable and varies with time. We, therefore, should know the characteristic feature of time variations in the local wind farms. In the present study, time-dependent changes of the wind speed, for examples in Gifu University Campus (Japan), are analyzed by a stochastic approach such as the waiting time distribution. It is found that the waiting time probability density for the wind speed is presented by a characteristic power law t-, where -value (< 2), in time domain. It is suggested that the wind speed has a time-fractal nature characterized by the so called the Cantor set. Well known Weibull distribution function found in the histogram of wind speed can be related to the Cantor’s waiting time. We introduce a new concept of the fractional dynamics in the stochastic analysis in the wind power.
Keywords: wind power, stochastic approach, Cantor-type waiting time, Weibull distribution