11 citations · 35 across the 8 of their papers we have counts for
10 papers
Linear Approximations Provide Rigorous Conditions for Phase Locking in Oscillator Networks and Power Grids
Iva Bačić, Carsten Hartmann, Philipp C. Böttcher +3
Synchronization is a fundamental collective phenomenon in many natural and engineered networks. The stable operation of oscillator networks, such as electric power grids, requires…
Cascading Failures and Critical Infrastructures in Future Renewable European Power Systems
Maurizio Titz, Franz Kaiser, Johannes Kruse +8
The world's power systems are undergoing a rapid transformation, shifting away from carbon-intensive power generation to renewable sources. As a result, electricity is being transp…
Impact of Market Reforms on Deterministic Frequency Deviations in the European Power Grid
Philipp C. Böttcher, Carsten Hartmann, Andrea Benigni +2
Deterministic frequency deviations (DFDs) are systematic and predictable excursions of grid frequency that arise from synchronized generation ramps induced by electricity market sc…
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…
Formation of trade networks by economies of scale and product differentiation
Chengyuan Han, Malte Schröder, Dirk Witthaut +1
Understanding the structure and formation of networks is a central topic in complexity science. Economic networks are formed by decisions of individual agents and thus not properly…
Initial analysis of the impact of the Ukrainian power grid synchronization with Continental Europe
Philipp C. Böttcher, Leonardo Rydin Gorjão, Christian Beck +5
When Russia invaded Ukraine on the 24\textsuperscript{th} of February 2022, this led to many acts of solidarity with Ukraine, including support for its electricity system. Just 20…
Collective effects and synchronization of demand in real-time demand response
Chengyuan Han, Dirk Witthaut, Leonardo Rydin Gorjão +1
Sustainable energy systems require flexible elements to balance the variability of renewable energy sources. Demand response aims to adapt the demand to the variable generation, in…
Complexity and Persistence of Price Time Series of the European Electricity Spot Market
Chengyuan Han, Hannes Hilger, Eva Mix +5
The large variability of renewable power sources is a central challenge in the transition to a sustainable energy system. Electricity markets are central for the coordination of el…
Dual communities in spatial networks
Franz Kaiser, Philipp C. Böttcher, Henrik Ronellenfitsch +2
Both human-made and natural supply systems, such as power grids and leaf venation networks, are built to operate reliably under changing external conditions. Many of these spatial…
Dynamic stability of electric power grids: Tracking the interplay of the network structure, transmission losses and voltage dynamics
Philipp C. Böttcher, Dirk Witthaut, Leonardo Rydin Gorjão
Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay…