Schaefer, Benjamin, Beck, Christian, Aihara, Kazuyuki, Witthaut, Dirk ORCID: 0000-0002-3623-5341 and Timme, Marc ORCID: 0000-0002-5956-3137 (2018). Non-Gaussian power grid frequency fluctuations characterized by Levy-stable laws and superstatistics. Nat. Energy, 3 (2). S. 119 - 127. LONDON: NATURE PUBLISHING GROUP. ISSN 2058-7546

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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 Levy-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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Schaefer, BenjaminUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Beck, ChristianUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Aihara, KazuyukiUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Witthaut, DirkUNSPECIFIEDorcid.org/0000-0002-3623-5341UNSPECIFIED
Timme, MarcUNSPECIFIEDorcid.org/0000-0002-5956-3137UNSPECIFIED
URN: urn:nbn:de:hbz:38-197439
DOI: 10.1038/s41560-017-0058-z
Journal or Publication Title: Nat. Energy
Volume: 3
Number: 2
Page Range: S. 119 - 127
Date: 2018
Publisher: NATURE PUBLISHING GROUP
Place of Publication: LONDON
ISSN: 2058-7546
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
ENERGY-STORAGE; NETWORKS; WIND; GENERATION; SYSTEMS; INERTIA; IMPACT; MODELMultiple languages
Energy & Fuels; Materials Science, MultidisciplinaryMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19743

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