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341
Synchronization dynamics of phase oscillators on power grid models.
Max Potratzki1, Timo Bröhl1,2, Thorsten Rings1,2
1Department of Epileptology, University of Bonn Medical Centre, Venusberg Campus 1, 53127 Bonn, Germany.
Chaos (Woodbury, N.Y.)
|April 10, 2024
Summary
This study reveals that power grid network structures limit stable synchronization in coupled oscillators. Network topology and spectral properties impact oscillator dynamics, leading to complex behaviors like chaos.
Area of Science:
- Complex systems
- Network science
- Nonlinear dynamics
Background:
- Power grids are critical infrastructure with complex network structures.
- Understanding synchronization dynamics in coupled oscillators is crucial for grid stability.
- Heterogeneity in oscillator frequencies is a common feature in real-world systems.
Purpose of the Study:
- To investigate the impact of topological and spectral properties of power grids on oscillator synchronization.
- To analyze the synchronization dynamics of phase oscillators with heterogeneous frequencies on network models.
- To compare power grid dynamics with paradigmatic network models.
Main Methods:
- Utilized complex-valued order parameter to quantify phase ordering and synchronization.
- Analyzed topological and spectral characteristics of European and US-American power grid models.
- Simulated synchronization dynamics of phase oscillators with varying initial conditions and disorder.
Main Results:
- Synchronization dynamics exhibited constant, periodic, or chaotic temporal evolutions.
- Power grid network characteristics were found to diminish the capacity for stable synchronization.
- Non-trivial commonalities were observed between synchronization dynamics on diverse network topologies.
Conclusions:
- The structural properties of power grids significantly influence the stability of synchronized behavior in coupled oscillators.
- Network topology and spectral features play a critical role in determining synchronization outcomes.
- Despite apparent differences, various network structures can exhibit similar synchronization dynamics.
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