Escape Routes, Weak Links, and Desynchronization in Fluctuation-driven Networks

Abstract

Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations, reduced damping and reduced intertia may undermine the dynamical robustness of power grid networks. Focusing on fundamental noise models, we derive analytic insights into which factors limit the dynamic robustness and how fluctuations may induce a system escape from an operating state. Moreover, we identify weak links in the grid that make it particularly vulnerable to fluctuations. These results thereby not only contribute to a theoretical understanding of how fluctuations act on distributed network dynamics, they may also help designing future renewable energy systems to be more robust.

5 pages, 4 figures plus 3 pages Supplemental Material (incl. 4 figures)

References in corpus (2)

• Analysis of a power grid using the Kuramoto-like model
• Short term fluctuations of wind and solar power systems

Cited by in corpus (31)

• Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
• Cycle flows and multistabilty in oscillatory networks: an overview
• Open data base analysis of scaling and spatio-temporal properties of power grid frequencies
• Data-driven model of the power-grid frequency dynamics
• Propagation of wind-power-induced fluctuations in power grids
• Stability of Synchrony against Local Intermittent Fluctuations in Tree-like Power Grids
• Optimal noise-canceling networks
• The footprint of atmospheric turbulence in power grid frequency measurements
• Stability and control of power grids with diluted network topology
• Stochastic properties of the frequency dynamics in real and synthetic power grids
• Rotor-angle versus voltage instability in the third-order model for synchronous generators
• Effect of disorder and noise in shaping the dynamics of power grids
• Transient chaos enforces uncertainty in the British power grid
• Power grid stability under perturbation of single nodes: Effects of heterogeneity and internal nodes
• Noise-Induced Desynchronization and Stochastic Escape from Equilibrium in Complex Networks
• Global Robustness vs. Local Vulnerabilities in Complex Synchronous Networks
• Network desynchronization by non-Gaussian fluctuations
• Towards realistic statistical models of the grid frequency
• Monte Carlo Basin Bifurcation Analysis
• Rare slips in fluctuating synchronized oscillator networks
• Degree Dispersion Increases the Rate of Rare Events in Population Networks
• Saddle avoidance of noise-induced transitions in multiscale systems
• Modeling long correlation times using additive binary Markov chains: applications to wind generation time series
• Finite-time Correlations Boost Large Voltage-Angle Fluctuations in Electric Power Grids
• Bridging between Load-Flow and Kuramoto-like Power Grid Models: A Flexible Approach to Integrating Electrical Storage Units
• Database of Power Grid Frequency Measurements
• Linear Response Theory for Renewable Fluctuations in Power Grids with Transmission Losses
• SIS model of disease extinction on heterogeneous directed population networks
• Large and small fluctuations in oscillator networks from heterogeneous and correlated noise
• Faster network disruption from layered oscillatory dynamics
• Resilience of the slow component in timescale separated synchronized oscillators