Towards uncovering the structure of power fluctuations of wind farms

Huiwen Liu, Yaqing Jin, Nicolas Tobin, Leonardo P. Chamorro

Research output: Contribution to journalArticlepeer-review


The structure of the turbulence-driven power fluctuations in a wind farm is fundamentally described from basic concepts. A derived tuning-free model, supported with experiments, reveals the underlying spectral content of the power fluctuations of a wind farm. It contains two power-law trends and oscillations in the relatively low- and high-frequency ranges. The former is mostly due to the turbulent interaction between the flow and the turbine properties, whereas the latter is due to the advection between turbine pairs. The spectral wind-farm scale power fluctuations ΦP exhibit a power-law decay proportional to f-5/3-2 in the region corresponding to the turbulence inertial subrange and at relatively large scales, ΦP∼f-2. Due to the advection and turbulent diffusion of large-scale structures, a spectral oscillation exists with the product of a sinusoidal behavior and an exponential decay in the frequency domain.

Original languageEnglish (US)
Article number063117
JournalPhysical Review E
Issue number6
StatePublished - Dec 26 2017

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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