6 papers
A graph theoretic view on small signal stability of inverter-based power grids
Iva BaÄiÄ, Jakob Niehues, Philipp C. Böttcher +5
Dynamic grid stability is traditionally ensured with synchronous generators. Modern grids rely substantially more on inverter-based resources, which require grid-forming control to…
Learning Dynamic Stability Landscapes in Synchronization Networks
Christian Nauck, Junyou Zhu, Michael Lindner +1
The robustness of synchronization is typically characterized by scalar, per-node stability indices whose dependence on topology is studied via network science or graph neural netwo…
A Unified Theory of Edge Weights: Stability of General Laplacian Networks from Matrix Phases and Asymmetry Rayleigh Ratios
Nina Kastendiek, Jakob Niehues, Frank Hellmann
We study the properties and stability of networks with arbitrary Laplacian coupling. Classic approaches to studying networked systems require unrealistic assumptions, including hom…
Small-signal stability of power systems with voltage droop
Jakob Niehues, Robin Delabays, Anna Büttner +1
The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless…
Complex Phase Analysis of Power Grid Dynamics
Jakob Niehues, Anna Büttner, Anne Riegler +1
With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a power…
Phase and gain stability for adaptive dynamical networks
Nina Kastendiek, Jakob Niehues, Robin Delabays +2
In adaptive dynamical networks, the dynamics of the nodes and the edges influence each other. We show that we can treat such systems as a closed feedback loop between edge and node…