Niehues, Jakob, Yanchuk, Serhiy, Berner, Rico, Kurths, Jürgen, Hellmann, Frank, Anvari, Mehrnaz:
Resonant Solitary States in Complex Networks
- New Journal of Physics
Stürmer, Julian, Plietzsch, Anton, Vogt, Thomas, Hellmann, Frank, Kurths, Jürgen, Otto, Christian, Frieler, Katja, Anvari, Mehrnaz (2024):
Increasing the resilience of the Texas power grid against extreme storms by hardening critical lines
- Nature Energy
Büttner, Anna, Hellmann, Frank (2024):
Complex Couplings - A universal, adaptive and bilinear formulation of power grid dynamics
- Physical Review X
Lücke, Marvin, Heitzig, Jobst, Koltai, Péter, Molkenthin, Nora, Winkelmann, Stefanie (2023):
Large population limits of Markov processes on random networks
- Stochastic Processes and their Applications
Nauck, Christian, Lindner, Michael, Schürholt, Konstantin , Hellmann, Frank (2023):
Toward dynamic stability assessment of power grid topologies using graph neural networks
- Chaos
Biehl, Juliane, Missbach, Leonard, Riedel, Franziska, Stemmle, Ruben, Jüchter, Julian, Weber, Jessica, Kucknat, Johanna, Odenweller, Adrian, Nauck, Christian, Lukassen, Laura J., Zech, Matthias, Grimm, Marie (2023):
Wicked facets of the German energy transition – examples from the electricity, heating, transport, and industry sectors
- International Journal of Sustainable Energy
Büttner, Anna, Plietzsch, Anton, Anvari, Mehrnaz, Hellmann, Frank (2023):
A framework for synthetic power system dynamics
- Chaos
Güven, J. Jasmin, Molkenthin, Nora, Mühle, Steffen, Mey, Antonia S. J. S. (2023):
What geometrically constrained models can tell us about real-world protein contact maps
- Physical Biology
Hellmann, Frank, Zolotarevskaia, Ekaterina, Kurths, Jürgen, Raisch, Jörg (2023):
Probabilistic Behavioral Distance and Tuning - Reducing and aggregating complex systems
- Journal of Physics: Complexity
Pfeffer, Oskar, Molkenthin, Nora, Hellmann, Frank (2022):
Ensemble analysis of complex network properties—an MCMC approach
- New Journal of Physics
Krämer, Kai-Hauke, Hellmann, Frank, Anvari, Mehrnaz, Kurths, Jürgen, Marwan, Norbert (2022):
Spike Spectra for Recurrences
- Entropy
Plietzsch, Anton, Auer, Sabine, Kurths, Jürgen, Hellmann, Frank (2022):
Linear response theory for renewable fluctuations in power grids with transmission losses
- Chaos
Anvari, Mehrnaz, Proedrou, Elisavet, Schäfer, Benjamin, Beck, Christian, Kantz, Holger, Timme, Marc (2022):
Data-driven load profiles and the dynamics of residential electricity consumption
- Nature Communications
Kogler, Raphael, Plietzsch, Anton, Schultz, Paul, Hellmann, Frank (2022):
Normal Form for Grid-Forming Power Grid Actors
- PRX Energy
Zech, Robin M., Molkenthin, Nora, Timme, Marc, Schröder, Malte (2022):
Collective dynamics of capacity-constrained ride-pooling fleets
- Scientific Reports
Ma, Rui , Li, Jinxin , Kurths, Jürgen, Cheng, Shijie , Zhan, Meng (2022):
Generalized Swing Equation and Transient Synchronous Stability With PLL-Based VSC
- IEEE Transactions on Energy Conversion
Büttner, Anna, Würfel, Hans, Plietzsch, Anton, Lindner, Michael, Hellmann, Frank (2022):
An Open Source Software Stack for Tuning the Dynamical Behavior of Complex Power Systems
- 2022 Open Source Modelling and Simulation of Energy Systems (OSMSES)
Büttner, Anna, Kurths, Jürgen, Hellmann, Frank (2022):
Ambient forcing: sampling local perturbations in constrained phase spaces
- New Journal of Physics
Plietzsch, Anton, Kogler, Raphael, Auer, Sabine, Merino, Julia, Gil-de-Muro, Asier, Liße, Jan, Vogel, Christina, Hellmann, Frank (2022):
PowerDynamics.jl - An experimentally validated open-source package for the dynamical analysis of power grids
- SoftwareX
Ansari, Sara, Anvari, Mehrnaz, Pfeffer, Oskar, Molkenthin, Nora, Moosavi, Mohammad R., Hellmann, Frank, Heitzig, Jobst, Kurths, Jürgen (2021):
Moving the epidemic tipping point through topologically targeted social distancing
- European Physical Journal - Special Topics
Wunderling, Nico, Gelbrecht, Maximilian, Winkelmann, Ricarda, Kurths, Jürgen, Donges, Jonathan Friedemann (2020):
Basin stability and limit cycles in a conceptual model for climate tipping cascades
- New Journal of Physics
Molkenthin, Nora, Schröder, Malte, Timme, Marc (2020):
Scaling laws of collective ride-sharing dynamics
- Physical Review Letters
Anvari, Mehrnaz, Rydin Gorjão, L., Timme, M., Witthaut, D., Schäfer, B., Kantz, H. (2020):
Stochastic properties of the frequency dynamics in real and synthetic power grids
- Physical Review Research
Börner, Reyk, Schultz, Paul, Ünzelmann, Benjamin, Wang, Deli, Hellmann, Frank, Kurths, Jürgen (2020):
Delay master stability of inertial oscillator networks
- Physical Review Research
Meyer, P. G., Anvari, Mehrnaz, Kantz, H. (2020):
Identifying characteristic time scales in power grid frequency fluctuations with DFA
- Chaos
Hellmann, Frank, Schultz, Paul, Jaros, P., Levchenko, R., Kapitaniak, T., Kurths, Jürgen, Maistrenko, Y. (2020):
Network-induced multistability through lossy coupling and exotic solitary states
- Nature Communications
Strenge, Lia, Schultz, Paul, Kurths, Jürgen, Raisch, J., Hellmann, Frank (2020):
A multiplex, multi-timescale model approach for economic and frequency control in power grids
- Chaos
Anvari, Mehrnaz, Hellmann, Frank, Zhang, Xiaozhu (2020):
Introduction to Focus Issue: Dynamics of modern power grids
- Chaos
Wienand, J. F., Eidmann, D., Kremers, J., Heitzig, Jobst, Hellmann, Frank, Kurths, Jürgen (2019):
Impact of network topology on the stability of DC microgrids
- Chaos
Lindner, Michael, Hellmann, Frank (2019):
Stochastic basins of attraction and generalized committor functions
- Physical Review E