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# SOE: Fachverband Physik sozio-ökonomischer Systeme

## SOE 4: Physics of Power Grids (joint session DY/SOE)

### SOE 4.3: Vortrag

### Montag, 16. März 2020, 12:00–12:15, ZEU 147

Large-deviation properties of the basin stability of power grids — •Yannick Feld and Alexander K. Hartmann — Institute of Physics, University of Oldenburg, Germany

Due to climate change the usage of fossil power sources has to be reduced. This results in more and more fluctuating power sources, which makes maintaining a stable energy grid more challenging and the properties of extremely stable (or unstable) power grid typologies are of interest. We use a dynamic model of power grids, specifically the Kuramoto-like model [1].

An advanced, however, nonlinear way to characterize the stability of
power grids against (possibly large) fluctuations is the
*basin stability*.
Thus, we study numerically [2] the probability distribution
of the basin stability for two random graph ensembles, namely an
*Erdős-Rényi* and a *small-world* ensemble.
Using *large deviation techniques* [3],
we were able to measure [4] the probability distribution ranging over
eight decades in probability, which is considerably larger than
possible using standard sampling.
Additionally we investigated the correlations of the basin stability with other measurable quantities like
*backup capacity* [3] and
number of leafs (dead ends).

[1] G. Filatrella, A.H. Nielsen, and N.F. Pedersen, Eur. Phys. J. B 61 485-491 (2008)

[2] A.K. Hartmann, Big Practical Guide to Computer Simulations (World Scientific, 2015).

[3] T. Dewenter and A.K. Hartmann, New J. Phys. 17, 015005 (2015)

[4] Y. Feld and A.K. Hartmann, Chaos 29, 113103 (2019).