Volume 116, Number 6, December 2016
|Number of page(s)||7|
|Published online||16 February 2017|
Phase locking of wind turbines leads to intermittent power production
1 Institute of Physics and ForWind, Carl von Ossietzky University - 26111 Oldenburg, Germany
2 Fraunhofer Institute for Wind Energy and Energy System Technology (IWES) - Küpkersweg 70, 26129 Oldenburg, Germany
Received: 17 October 2016
Accepted: 20 January 2017
Wind energy, inserted into the power grid by wind turbines, is strongly influenced by the turbulent fluctuations of wind speed in the atmospheric layer. Here we investigate the power production of a wind farm and show that due to the presence of large-scale and long-time correlation in wind velocity, turbines interact with each other. This interaction can result in phase locking in pairs of turbines. We show that there are time intervals during which some pairs of turbines are temporally phase locked. This intermediate phase locking leads to the statistical effect that the short-time fluctuations of the cumulative power output of the wind farm become non-Gaussian, i.e., intermittent power production occurs. Contrary to phase-locked states, there are some time intervals where all turbines are phase unlocking and consequently the probability density function of the temporal increment of cumulative power production of the wind farm has almost Gaussian distribution. The phase-locked states, which can be distinct from phase-unlocked states by their dynamical features, are evaluated by reconstructed stochastic differential equations.
PACS: 02.50.Fz – Stochastic analysis / 05.45.Xt – Synchronization; coupled oscillators / 88.50.-k – Wind energy
© EPLA, 2016
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