On structural and dynamical factors determining the integrated basin instability of power-grid nodes
arXiv:1906.08629 · doi:10.1063/1.5115532
Abstract
In electric power systems delivering alternating current, it is essential to maintain its synchrony of the phase with the rated frequency. The synchronization stability that quantifies how well the power-grid system recovers its synchrony against perturbation depends on various factors. As an intrinsic factor that we can design and control, the transmission capacity of the power grid affects the synchronization stability. Therefore, the transition pattern of the synchronization stability with the different levels of transmission capacity against external perturbation provides the stereoscopic perspective to understand the synchronization behavior of power grids. In this study, we extensively investigate the factors affecting the synchronization stability transition by using the concept of basin stability as a function of the transmission capacity. For a systematic approach, we introduce the integrated basin instability, which literally adds up the instability values as the transmission capacity increases. We first take simple 5-node motifs as a case study of building blocks of power grids, and a more realistic IEEE 24-bus model to highlight the complexity of decisive factors. We find that both structural properties such as gate keepers in network topology and dynamical properties such as large power input/output at nodes cause synchronization instability. The results suggest that evenly distributed power generation and avoidance of bottlenecks can improve the overall synchronization stability of power-grid systems.
arXiv comment11 pages, 5 figures, 3 tables
References in corpus (38)
- The structure and function of complex networks
- Error and attack tolerance of complex networks
- Structural Vulnerability of the North American Power Grid
- A model for cascading failures in complex networks
- Synchronization in Complex Oscillator Networks and Smart Grids
- Communicability in complex networks
- Modeling Cascading Failures in the North American Power Grid
- Analysis of a power grid using the Kuramoto-like model
- PyPSA: Python for Power System Analysis
- Power grids vulnerability: a complex network approach
- Small vulnerable sets determine large network cascades in power grids
- Dynamically induced cascading failures in power grids
- Comparative analysis of existing models for power-grid synchronization
- Multi-node basin stability in complex dynamical networks
- Role of Network Topology in the Synchronization of Power Systems
- Survivability of Deterministic Dynamical Systems
- Network susceptibilities: theory and applications
- Nonlocal effects and counter measures in cascading failures
- Potentials and Limits to Basin Stability Estimation
- Dual theory of transmission line outages
- Emergent failures and cascades in power grids: a statistical physics perspective
- Cascading Failures in AC Electricity Grids
- Deciphering the imprint of topology on nonlinear dynamical network stability
- Optimizing Synchronization Stability of the Kuramoto Model in Complex Networks and Power Grids
- Heterogeneity effects in power-grid network models
- Community consistency determines the stability transition window of power-grid nodes
- Building blocks of the basin stability of power grids
- Curing Braess' Paradox by Secondary Control in Power Grids
- Effects of dynamic-demand-control appliances on the power grid frequency
- Power grid stability under perturbation of single nodes: Effects of heterogeneity and internal nodes
- Multistability and Variations in Basin of Attraction in Power-grid Systems
- Bounding the first exit from the basin: Independence Times and Finite-Time Basin Stability
- Long-Range Response to Transmission Line Disturbances in DC Electricity Grids
- Relational flexibility of network elements based on inconsistent community detection
- Curing critical links in oscillator networks as power grid models
- Spatial uniformity in power-grid system
- Scaling of transmission capacities in coarse-grained renewable electricity networks
- How Decentral Smart Grid Control limits non-Gaussian power grid frequency fluctuations
Cited by in corpus (5)
- Predicting Basin Stability of Power Grids using Graph Neural Networks
- Power-grid stability predictions using transferable machine learning
- A Framework for Synthetic Power System Dynamics
- Dynamical heterogeneity and universality of power-grids
- How modular structure determines operational resilience of power grids