Abstract

Wind and solar power are known to be highly influenced by weather events and may ramp up or down abruptly. Such events in the power production influence not only the availability of energy, but also the stability of the entire power grid. By analysing significant amounts of data from several regions around the world with resolutions of seconds to minutes, we provide strong evidence that renewable wind and solar sources exhibit multiple types of variability and nonlinearity in the time scale of seconds and characterise their stochastic properties. In contrast to previous findings, we show that only the jumpy characteristic of renewable sources decreases when increasing the spatial size over which the renewable energies are harvested. Otherwise, the strong non-Gaussian, intermittent behaviour in the cumulative power of the total field survives even for a country-wide distribution of the systems. The strong fluctuating behaviour of renewable wind and solar sources can be well characterised by Kolmogorov-like power spectra and q-exponential probability density functions. Using the estimated potential shape of power time series, we quantify the jumpy or diffusive dynamic of the power. Finally we propose a time delayed feedback technique as a control algorithm to suppress the observed short term non-Gaussian statistics in spatially strong correlated and intermittent renewable sources.

Highlights

  • The renewable energy sources and their share in electricity production have increased constantly, mainly driven by energy policies, markets and environmental issues

  • In the new presented method we show that saving a portion of power output of a single renewable source, and injecting it after a delay of about 2–5 s, will have noticeable impact on the short time intermittency

  • To compare the characteristics of solar and wind power production, we present in figure 2(c) the power increment statistics for two units with the same rated power

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Summary

June 2016

M Anvari, G Lohmann, M Wächter, P Milan, E Lorenz, D Heinemann, M Reza Rahimi Tabar and Joachim Peinke. By analysing significant amounts of data from several regions attribution to the around the world with resolutions of seconds to minutes, we provide strong evidence that renewable author(s) and the title of the work, journal citation wind and solar sources exhibit multiple types of variability and nonlinearity in the time scale of seconds and DOI. The strong non-Gaussian, intermittent behaviour in the cumulative power of the total field survives even for a country-wide distribution of the systems. The strong fluctuating behaviour of renewable wind and solar sources can be well characterised by Kolmogorov-like power spectra and q-exponential probability density functions. We propose a time delayed feedback technique as a control algorithm to suppress the observed short term non-Gaussian statistics in spatially strong correlated and intermittent renewable sources

Introduction
Description of high frequency data sets of wind power and solar irradiance
Intermittency: non-Gaussian behaviour of wind and solar increments statistics
Suppressing the non-Gaussian statistics of wind and solar power
Findings
Concluding remarks
Full Text
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