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  Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics

Schäfer, B., Beck, C., Aihara, K., Witthaut, D., & Timme, M. (2018). Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics. Nature Energy, 3(2), 119-126. doi:10.1038/s41560-017-0058-z.

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 Creators:
Schäfer, Benjamin1, Author              
Beck, C., Author
Aihara, K., Author
Witthaut, D., Author
Timme, Marc1, Author              
Affiliations:
1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

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 Abstract: Multiple types of fluctuations impact the collective dynamics of power grids and thus challenge their robust operation. Fluctuations result from processes as different as dynamically changing demands, energy trading and an increasing share of renewable power feed-in. Here we analyse principles underlying the dynamics and statistics of power grid frequency fluctuations. Considering frequency time series for a range of power grids, including grids in North America, Japan and Europe, we find a strong deviation from Gaussianity best described as Lévy-stable and q-Gaussian distributions. We present a coarse framework to analytically characterize the impact of arbitrary noise distributions, as well as a superstatistical approach that systematically interprets heavy tails and skewed distributions. We identify energy trading as a substantial contribution to today’s frequency fluctuations and effective damping of the grid as a controlling factor enabling reduction of fluctuation risks, with enhanced effects for small power grids.

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Language(s): eng - English
 Dates: 2018-01-082018-02
 Publication Status: Published in print
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1038/s41560-017-0058-z
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Title: Nature Energy
Source Genre: Journal
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Pages: - Volume / Issue: 3 (2) Sequence Number: - Start / End Page: 119 - 126 Identifier: -