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DY: Fachverband Dynamik und Statistische Physik
DY 38: The Physics of Power-Grids – Fluctuations, Synchronization and Network Structures (Focus session, joint DY/SOE)
DY 38.12: Vortrag
Mittwoch, 22. März 2017, 18:30–18:45, ZEU 160
Frequency Fluctuations in Power Grids: From Observed Data to Lévy-stable Laws — •Benjamin Schäfer1, Kazuyuki Aihara2, Dirk Witthaut3,4, and Marc Timme1,5 — 1Network Dynamics, Max Planck Institute for Dynamics and Selforganization (MPIDS), Göttingen — 2Institute of Industrial Science, The University of Tokyo, Komaba, Meguro-ku, Tokyo, Japan — 3Forschungszentrum Jülich, Institute for Energy and Climate Research - Systems Analysis and Technology Evaluation (IEK-STE), Jülich — 4Institute for Theoretical Physics, University of Cologne, Köln — 5Department of Physics, Technical University of Darmstadt, Darmstadt
The ongoing energy transition (Energiewende) to replace fossil by renewable energy sources raises new challenges for power grid design and control, because renewables do not supply a constant power but introduce fluctuations to the grid. Here, we analyze fundamental dynamics of power grid frequency fluctuations. We analyze specific frequency data for the continental European grid, the British grid, the Japanese power grids as well as for the Eastern Interconnection in North America. We model the underlying stochastic process using (generalized) Fokker-Planck equations and validate our analytical predictions by Monte-Carlo simulations. We conclude that dominant contributions to the frequency fluctuations in a grid may be approximated by a single variable, the average frequency deviation, modeled as a random variable following a Lévy-stable distribution.