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Stochastic feed-in of fluctuating renewable energies is steadily increasingin modern electricity grids and this becomes an important risk factor formaintaining power grid stability. Here we study the impact of wind powerfeed-in on the short-term frequency fluctuations in power grids based on anIEEE test grid structure, the swing equation for the dynamics of voltage phaseangles, and a series of measured wind speed data. External control measures areaccounted for by adjusting the grid state to the average power feed-in on atime scale of one minute. The wind power is injected at a single node byreplacing one of the conventional generator nodes in the test grid by a windfarm. We determine histograms of local frequencies for a large number ofone-minute wind speed sequences taken from the measured data and for differentinjection nodes. These histograms exhibit a common type of shape, which can bedescribed by a Gaussian distribution for small frequencies and a nearlyexponentially decaying tail part. Non-Gaussian features become particularlypronounced for wind power injection at locations, which are weakly connected tothe main grid structure. This effect is only present when taking into accountthe heterogeneities in transmission line and node properties of the grid, whileit disappears upon homogenizing of these features. The standard deviation ofthe frequency fluctuations increases linearly with the average injected windpower.

Heterogeneities in electricity grids strongly enhance non-Gaussian features of frequency fluctuations under stochastic power input