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arXiv · 2403.18867

Synchronization dynamics of phase oscillators on power grid models

Max Potratzki·Timo Bröhl·Thorsten Rings·Klaus Lehnertz
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Abstract

We investigate topological and spectral properties of models of European and US-American power grids and of paradigmatic network models as well as their implications for the synchronization dynamics of phase oscillators with heterogeneous natural frequencies. We employ the complex-valued order parameter --~a widely-used indicator for phase ordering~-- to assess the synchronization dynamics and observe the order parameter to exhibit either constant or periodic or non-periodic, possibly chaotic temporal evolutions for a given coupling strength but depending on initial conditions and the systems' disorder. Interestingly, both topological and spectral characteristics of the power grids point to a diminished capability of these networks to support a temporarily stable synchronization dynamics. We find non-trivial commonalities between the synchronization dynamics of oscillators on seemingly opposing topologies.

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Max Potratzki, Timo Bröhl, Thorsten Rings, Klaus Lehnertz. 2024-03-25. Synchronization dynamics of phase oscillators on power grid models. https://arxiv.org/abs/2403.18867

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