Multistability and Variations in Basin of Attraction in Power-grid Systems

Abstract

Power grids sustain modern society by supplying electricity and thus their stability is a crucial factor for our civilization. The dynamic stability of a power grid is usually quantified by the probability of its nodes' recovery to phase synchronization of the alternating current it carries, in response to external perturbation. Intuitively, the stability of nodes in power grids is supposed to become more robust as the coupling strength between the nodes increases. However, we find a counterintuitive range of coupling strength values where the synchronization stability suddenly droops as the coupling strength increases, on a number of simple graph structures. Since power grids are designed to fulfill both local and long-range power demands, such simple graph structures or graphlets for local power transmission are indeed relevant in reality. We show that the observed nonmonotonic behavior is a consequence of transitions in multistability, which are related to changes in stability of the \emph{unsynchronized} states. Therefore, our findings suggest that a comprehensive understanding of changes in multistability are necessary to prevent the unexpected catastrophic instability in the building blocks of power grids.

References in corpus (21)

• Structural Vulnerability of the North American Power Grid
• A model for cascading failures in complex networks
• Synchronization in Complex Oscillator Networks and Smart Grids
• Spontaneous synchrony in power-grid networks
• Modeling Cascading Failures in the North American Power Grid
• Analysis of a power grid using the Kuramoto-like model
• Power grids vulnerability: a complex network approach
• Small vulnerable sets determine large network cascades in power grids
• Comparative analysis of existing models for power-grid synchronization
• Impact of network topology on synchrony of oscillatory power grids
• Multi-node basin stability in complex dynamical networks
• Survivability of Deterministic Dynamical Systems
• Potentials and Limits to Basin Stability Estimation
• Deciphering the imprint of topology on nonlinear dynamical network stability
• Building blocks of the basin stability of power grids
• Constrained basin stability for studying transient phenomena in dynamical systems
• Timing of Transients: Quantifying Reaching Times and Transient Behavior in Complex Systems
• Curing critical links in oscillator networks as power grid models
• Evolving Powergrids in Self-Organized Criticality: An analogy with Sandpile and Earthquakes
• Scaling of transmission capacities in coarse-grained renewable electricity networks
• Predictive Functional Connectivity of Real-World Systems

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• Decreased resilience in power grids under dynamically induced vulnerabilities
• A multilayer, multi-timescale model approach for economic and frequency control in power grids
• How modular structure determines operational resilience of power grids
• Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors
• Predicting the Oscillatory Regimes of Global Synchrony Induced by Secondary Clusters