301 citations · 1.2k across the 57 of their papers we have counts for
8 papers · 1 filter
Local versus global stability in dynamical systems with consecutive Hopf-Bifurcations
Philipp C. Böttcher, Benjamin Schäfer, Stefan Kettemann +2
Quantifying the stability of an equilibrium is central in the theory of dynamical systems as well as in engineering and control. A comprehensive picture must include the response t…
Data-driven model of the power-grid frequency dynamics
Leonardo Rydin Gorjão, Mehrnaz Anvari, Holger Kantz +4
The energy system is rapidly changing to accommodate the increasing number of renewable generators and the general transition towards a more sustainable future. Simultaneously, bus…
Stochastic properties of the frequency dynamics in real and synthetic power grids
Mehrnaz Anvari, Leonardo Rydin Gorjão, Marc Timme +3
The frequency constitutes a key state variable of electrical power grids. However, as the frequency is subject to several sources of fluctuations, ranging from renewable volatility…
Dynamical modelling of cascading failures in the Turkish power grid
Benjamin Schäfer, G. Cigdem Yalcin
A reliable supply of electricity is critical for our modern society and any large scale disturbance of the electrical system causes substantial costs. In 2015, one overloaded trans…
Curing Braess' Paradox by Secondary Control in Power Grids
Eder Batista Tchawou Tchuisseu, Damià Gomila, Pere Colet +3
Robust operation of power transmission grids is essential for most of today's technical infrastructure and our daily life. Adding renewable generation to power grids requires grid…
Dynamically induced cascading failures in power grids
Benjamin Schäfer, Dirk Witthaut, Marc Timme +1
Reliable functioning of infrastructure networks is essential for our modern society. Cascading failures are the cause of most large-scale network outages. Although cascading failur…
Escape Routes, Weak Links, and Desynchronization in Fluctuation-driven Networks
Benjamin Schäfer, Moritz Matthiae, Xiaozhu Zhang +3
Shifting our electricity generation from fossil fuel to renewable energy sources introduces large fluctuations to the power system. Here, we demonstrate how increased fluctuations,…
Taming Instabilities in Power Grid Networks by Decentralized Control
Benjamin Schäfer, Carsten Grabow, Sabine Auer +3
Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major de…