The Kuramoto model in complex networks

FA Rodrigues, TKDM Peron, P Ji, J Kurths - Physics Reports, 2016 - Elsevier
Synchronization of an ensemble of oscillators is an emergent phenomenon present in
several complex systems, ranging from social and physical to biological and technological …

Collective nonlinear dynamics and self-organization in decentralized power grids

D Witthaut, F Hellmann, J Kurths, S Kettemann… - Reviews of modern …, 2022 - APS
The ongoing transition to renewable energy supply comes with a restructuring of power
grids, changing their effective interaction topologies, more and more strongly decentralizing …

Understanding Braess' paradox in power grids

B Schäfer, T Pesch, D Manik, J Gollenstede… - Nature …, 2022 - nature.com
The ongoing energy transition requires power grid extensions to connect renewable
generators to consumers and to transfer power among distant areas. The process of grid …

Countrywide PV hosting capacity and energy storage requirements for distribution networks: The case of Switzerland

R Gupta, F Sossan, M Paolone - Applied Energy, 2021 - Elsevier
Distributed photovoltaic (PV) generation is typically connected to power distribution grids,
which are not designed to host a large amount of production if it is significantly larger than …

Network-induced multistability through lossy coupling and exotic solitary states

F Hellmann, P Schultz, P Jaros, R Levchenko… - Nature …, 2020 - nature.com
The stability of synchronised networked systems is a multi-faceted challenge for many
natural and technological fields, from cardiac and neuronal tissue pacemakers to power …

Power outage prediction for natural hazards using synthetic power distribution systems

C Zhai, TY Chen, AG White, SD Guikema - Reliability Engineering & …, 2021 - Elsevier
Power outage prediction for natural hazards usually relies on one of two approaches,
statistical models or fragility-based methods. Statistical models have provided strong …

Predicting basin stability of power grids using graph neural networks

C Nauck, M Lindner, K Schürholt, H Zhang… - New Journal of …, 2022 - iopscience.iop.org
The prediction of dynamical stability of power grids becomes more important and
challenging with increasing shares of renewable energy sources due to their decentralized …

[HTML][HTML] Longitudinal power systems for modern and future grid studies: A graph theory analysis

F Arraño-Vargas, G Konstantinou - Sustainable Energy, Grids and Networks, 2023 - Elsevier
Longitudinal power systems face different stability problems when compared to meshed and
robust power systems due to their distinct linear and elongated structure. These …

Detours around basin stability in power networks

P Schultz, J Heitzig, J Kurths - New Journal of Physics, 2014 - iopscience.iop.org
To analyse the relationship between stability against large perturbations and topological
properties of a power transmission grid, we employ a statistical analysis of a large ensemble …

Survivability of deterministic dynamical systems

F Hellmann, P Schultz, C Grabow, J Heitzig, J Kurths - Scientific reports, 2016 - nature.com
The notion of a part of phase space containing desired (or allowed) states of a dynamical
system is important in a wide range of complex systems research. It has been called the safe …