Overviews on the applications of the Kuramoto model in modern power system analysis

Y Guo, D Zhang, Z Li, Q Wang, D Yu - … Journal of Electrical Power & Energy …, 2021 - Elsevier
Synchronization of power systems is not only a vital issue nowadays, but also of major
importance in the development of future smart grids where high penetration of renewable …

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 …

Multilayer control of synchronization and cascading failures in power grids

S Olmi, LV Gambuzza, M Frasca - Chaos, Solitons & Fractals, 2024 - Elsevier
In this work, we propose a control scheme for power grids subject to large perturbations that
cause the failure of a node of the grid. Under such circumstances, the system may lose …

Network susceptibilities: Theory and applications

D Manik, M Rohden, H Ronellenfitsch, X Zhang… - Physical Review E, 2017 - APS
We introduce the concept of network susceptibilities quantifying the response of the
collective dynamics of a network to small parameter changes. We distinguish two types of …

[HTML][HTML] Cycle flows and multistability in oscillatory networks

D Manik, M Timme, D Witthaut - Chaos: An Interdisciplinary Journal of …, 2017 - pubs.aip.org
We study multistability in phase locked states in networks of phase oscillators under both
Kuramoto dynamics and swing equation dynamics—a popular model for studying coarse …

Finite-time synchronization of fractional-order fuzzy time-varying coupled neural networks subject to reaction–diffusion

Y Xu, W Liu, Y Wu, W Li - IEEE Transactions on Fuzzy Systems, 2023 - ieeexplore.ieee.org
In this article, finite-time synchronization is investigated for fractional-order fuzzy time-
varying coupled neural networks subject to reaction–diffusion by establishing a new …

A new scenario for Braess's paradox in power grids

VA Khramenkov, AS Dmitrichev… - … Interdisciplinary Journal of …, 2022 - pubs.aip.org
We consider several topologies of power grids and analyze how the addition of transmission
lines affects their dynamics. The main example we are dealing with is a power grid that has …

Stability and control of power grids with diluted network topology

L Tumash, S Olmi, E Schöll - Chaos: An Interdisciplinary Journal of …, 2019 - pubs.aip.org
We consider sparse random networks of Kuramoto phase oscillators with inertia in order to
mimic and investigate the dynamics emerging in high-voltage power grids. The …

Propagation of disturbances in AC electricity grids

S Tamrakar, M Conrath, S Kettemann - Scientific reports, 2018 - nature.com
The energy transition towards high shares of renewable energy will affect the stability of
electricity grids in many ways. Here, we aim to study its impact on propagation of …