Regensburg 2016 – wissenschaftliches Programm
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BP: Fachverband Biologische Physik
BP 35: Networks: From Topology to Dynamics II (Joint Session SOE/DY/BP)
BP 35.1: Vortrag
Dienstag, 8. März 2016, 15:00–15:15, H36
Collective Failure due to Multistability in Oscillator Networks and Power Grid — •Debsankha Manik1, Dirk Witthaut2, and Marc Timme1 — 1Network Dynamics Group, Max Planck Institute for Dynamics anf self-Organization, 37077 Göttingen — 2Forschungszentrum Jülich, Institute of Energy and Climate Research Systems Analysis and Technology Evaluation (IEK-STE), 52425 Jülich
Networks of phase oscillators model the collective dynamics of various interacting physical and biological systems, ranging from electric power grid operation to neuronal rhythms. Here we show that the number of stable steady states in phase oscillator systems scales with the length of the topological cycles in the network such that for non-global cou- pling, multistable steady states may emerge. The clustering of similar natural frequencies favour fewer stable states, whereas homogeneous frequency distributions favour more. Intriguingly, multistability pre- vails even under conditions for which stable states have been claimed to be unique. This multistability may have significant impact on the collective dynamics of such networks: for example, in power grids where the transmission lines have structural limitations on the maximum load they can safely carry, perturbations may induce switching to different steady states, strongly alter the flow patterns, and in turn yield a col- lective failure of the grid.
Supported by the BMBF under grant no. 03SF0472E.