Predicting Instability in Complex Oscillator Networks: Limitations and Potentials of Network Measures and Machine Learning

1 code implementation • 27 Feb 2024 • Christian Nauck, Michael Lindner, Nora Molkenthin, Jürgen Kurths, Eckehard Schöll, Jörg Raisch, Frank Hellmann

A functional property that is of theoretical and practical interest for oscillatory systems is the stability of synchrony to localized perturbations.

Towards dynamic stability analysis of sustainable power grids using graph neural networks

1 code implementation • 21 Dec 2022 • Christian Nauck, Michael Lindner, Konstantin Schürholt, Frank Hellmann

To mitigate climate change, the share of renewable needs to be increased.

Toward Dynamic Stability Assessment of Power Grid Topologies using Graph Neural Networks

1 code implementation • 10 Jun 2022 • Christian Nauck, Michael Lindner, Konstantin Schürholt, Frank Hellmann

As a testbed for GNN models, we generate new, large datasets of dynamic stability of synthetic power grids, and provide them as an open-source resource to the research community.

Transfer Learning

An Open Source Software Stack for Tuning the Dynamical Behavior of Complex Power Systems

1 code implementation • 1 Dec 2021 • Anna Büttner, Hans Würfel, Anton Plietzsch, Michael Lindner, Frank Hellmann

BlockSystems. jl and NetworkDynamics. jl are two novel software packages which facilitate highly efficient transient stability simulations of power networks.

BIG-bench Machine Learning

Predicting Basin Stability of Power Grids using Graph Neural Networks

1 code implementation • 18 Aug 2021 • Christian Nauck, Michael Lindner, Konstantin Schürholt, Haoming Zhang, Paul Schultz, Jürgen Kurths, Ingrid Isenhardt, Frank Hellmann

We investigate the feasibility of applying graph neural networks (GNN) to predict dynamic stability of synchronisation in complex power grids using the single-node basin stability (SNBS) as a measure.

Probabilistic Stability Assessment for Active Distribution Grids

1 code implementation • 17 Jun 2021 • Sebastian Liemann, Lia Strenge, Paul Schultz, Holm Hinners, Johannis Porst, Marcel Sarstedt, Frank Hellmann

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid.

Moving the epidemic tipping point through topologically targeted social distancing

no code implementations • 19 Feb 2021 • Sara Ansari, Mehrnaz Anvari, Oskar Pfeffer, Nora Molkenthin, Frank Hellmann, Jobst Heitzig, Juergen Kurths

Modeling the disease as a spreading process on a social graph, social distancing can be modeled by removing some of the graphs links.

Physics and Society

PowerDynamics.jl -- An experimentally validated open-source package for the dynamical analysis of power grids

1 code implementation • 6 Jan 2021 • Anton Plietzsch, Raphael Kogler, Sabine Auer, Julia Merino, Asier Gil-de-Muro, Jan Liße, Christina Vogel, Frank Hellmann

PowerDynamics. jl is a Julia package for time-domain modeling of power grids that is specifically designed for the stability analysis of systems with high shares of renewable energies.

Delay master stability of inertial oscillator networks

1 code implementation • 21 Nov 2019 • Reyk Börner, Paul Schultz, Benjamin Ünzelmann, Deli Wang, Frank Hellmann, Jürgen Kurths

Time lags occur in a vast range of real-world dynamical systems due to finite reaction times or propagation speeds.

Dynamical Systems Adaptation and Self-Organizing Systems