Wind power variations in frequency domain: Introducing a concept of fractional dynamics
DOI:
https://doi.org/10.33910/2687-153X-2026-7-3-137-143Keywords:
wind power, Fast Fourier transform (FFT), fractional relaxation and dynamics, Mittag-Leffler function (MLF), non-Euclidean space, Newtonian dynamicsAbstract
We apply a new concept of fractional dynamics in the equation of motion, specifically the harmonic oscillator in non-Euclidean space, to analyze wind speed (WS) in the frequency domain. Frequency spectra (FS) for WS are expressed well by the Mittag-Leffler function (MLF) originating from a concept of fractional dynamics in complex systems: FS behaves as 1/f a in high frequencies (a < 1). All these findings are compared with those for air temperature (AT), showing 1/f a for WS and 1/f 2a for AT. An interesting relationship between the 1/f a-law found for WS and 1/f 2a for AT will be discussed in terms of Newtonian dynamics in the fractional space.
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Copyright (c) 2026 Abelito Filipe Belo, Koichi Shimakawa
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