Zobrazeno 1 - 10
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pro vyhledávání: '"P. Hellmann"'
The small-signal stability of power grids is a well-studied topic. In this work, we give new sufficient conditions for highly heterogeneous mixes of grid-forming inverters (and other machines) that implement a $V$-$q$ droop to stabilize viable operat
Externí odkaz:
http://arxiv.org/abs/2411.10832
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 dynamics. Using recent advances on the stability of feedback systems
Externí odkaz:
http://arxiv.org/abs/2411.10387
Autor:
White, Alistair, Büttner, Anna, Gelbrecht, Maximilian, Duruisseaux, Valentin, Kilbertus, Niki, Hellmann, Frank, Boers, Niklas
Neural differential equations offer a powerful approach for learning dynamics from data. However, they do not impose known constraints that should be obeyed by the learned model. It is well-known that enforcing constraints in surrogate models can enh
Externí odkaz:
http://arxiv.org/abs/2410.23667
The increasing integration of renewable energy sources (RESs) into power systems requires the deployment of grid-forming inverters to ensure a stable operation. Accurate modeling of these devices is necessary. In this paper, a system identification a
Externí odkaz:
http://arxiv.org/abs/2409.17132
We assess the potential of neutrino telescopes to discover quantum-gravity-induced decoherence effects modeled in the open-quantum system framework and with arbitrary numbers of active and dark fermion generations, such as particle dark matter or ste
Externí odkaz:
http://arxiv.org/abs/2409.12633
Autor:
Nauck, Christian, Gorantla, Rohan, Lindner, Michael, Schürholt, Konstantin, Mey, Antonia S. J. S., Hellmann, Frank
The geometry of a graph is encoded in dynamical processes on the graph. Many graph neural network (GNN) architectures are inspired by such dynamical systems, typically based on the graph Laplacian. Here, we introduce Dirac--Bianconi GNNs (DBGNNs), wh
Externí odkaz:
http://arxiv.org/abs/2407.12419
Due to the increasing share of renewables, the analysis of the dynamical behavior of power grids gains importance. Effective risk assessments necessitate the analysis of large number of fault scenarios. The computational costs inherent in dynamic sim
Externí odkaz:
http://arxiv.org/abs/2406.08917
We prove the existence of non-classical $p$-adic automorphic eigenforms associated to a classical system of eigenvalues on definite unitary groups in $3$ variables. These eigenforms are associated to Galois representations which are crystalline but v
Externí odkaz:
http://arxiv.org/abs/2406.01129
Gravitational waves (GWs) can alter the neutrino propagation distance and thus affect neutrino oscillations. This can result in a complete disappearance of the oscillatory behavior that competes with other sources of neutrino decoherence. We develop
Externí odkaz:
http://arxiv.org/abs/2405.05000
Autor:
Sazhin, Alexander, Gladilin, Vladimir N., Erglis, Andris, Hellmann, Göran, Vewinger, Frank, Weitz, Martin, Wouters, Michiel, Schmitt, Julian
Publikováno v:
Nature Communications 15, 4730 (2024)
The quantum regression theorem states that the correlations of a system at two different times are governed by the same equations of motion as the temporal response of the average values. Such a relation provides a powerful framework for the investig
Externí odkaz:
http://arxiv.org/abs/2403.04705