Modelling power grids as pseudo adaptive networks
arXiv:2104.06128
Abstract
Power grids, as well as neuronal networks with synaptic plasticity, describe real-world systems of tremendous importance for our daily life. The investigation of these seemingly unrelated types of dynamical networks has attracted increasing attention over the last decade. In this work, we exploit the recently established relation between these two types of networks to gain insights into the dynamical properties of multifrequency clusters in power grid networks. For this, we consider the model of Kuramoto-Sakaguchi phase oscillators with inertia and describe the emergence of multicluster states. Building on this, we provide a new perspective on solitary states in power grid networks by introducing the concept of pseudo coupling weights.
arXiv commentarXiv admin note: substantial text overlap with arXiv:2006.06353
References in corpus (25)
- The Kuramoto model in complex networks
- Synchronization in Complex Oscillator Networks and Smart Grids
- Spontaneous synchrony in power-grid networks
- Symmetries, Cluster Synchronization, and Isolated Desynchronization in Complex Networks
- Analysis of a power grid using the Kuramoto-like model
- Explosive synchronization in adaptive and multilayer networks
- Realistic Control of Network Dynamics
- Comparative analysis of existing models for power-grid synchronization
- Non-Gaussian power grid frequency fluctuations characterized by Lévy-stable laws and superstatistics
- Hysteretic transitions in the Kuramoto model with inertia
- Self-Organized Synchronization and Voltage Stability in Networks of Synchronous Machines
- Critical links and nonlocal rerouting in complex supply networks
- Solitary states for coupled oscillators
- Desynchronization transitions in adaptive networks
- Multi-clusters in networks of adaptively coupled phase oscillators networks
- Enhancing power grid synchronization and stability through time delayed feedback control
- What adaptive neuronal networks teach us about power grids
- Asymmetry underlies stability in power grids
- Solitary states in adaptive nonlocal oscillator networks
- The impact of model detail on power grid resilience measures
- Bifurcations and singularities for coupled oscillators with inertia and frustration
- Cascading Failures as Continuous Phase-Space Transitions
- Control of Synchronization in two-layer power grids
- Effect of disorder and noise in shaping the dynamics of power grids
- Emergent excitability in adaptive networks of non-excitable units