Berlin 2015 – wissenschaftliches Programm
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 20: Energy Systems (joint session DY/ AK Energy / SOE)
SOE 20.7: Vortrag
Donnerstag, 19. März 2015, 11:15–11:30, BH-N 243
Detours around basin stability in power networks — •Paul Schultz1,2, Jobst Heitzig1, and Jürgen Kurths1,2,3,4 — 1Potsdam Institute for Climate Impact Research, D-14412 Potsdam, Germany — 2Department of Physics, Humboldt University Berlin, D-12489 Berlin, Germany — 3Institute for Complex Systems and Mathematical Biology, University of Aberdeen, AB24 3UE Aberdeen, UK — 4Department of Control Theory, Nizhny Novgorod State University, Gagarin Avenue 23, 606950 Nizhny Novgorod, Russia
To analyse the relationship between stability against (large) perturbations and topological properties of a power transmission grid, we employ a statistical analysis of a large ensemble of synthetic power grids, looking for significant statistical relationships between the single-node basin stability measure and classical as well as tailor-made weighted network characteristics. Especially, we propose a strategy to directly estimate a power grid's stability - even on short time scales - to omit the need of costly simulations. The focus lies on the identification of grid nodes that appear critical for stability, using for example a version of Newman's current flow betweenness. This method enables us to predict poor values of single-node basin stability for a large extent of the nodes, offering a node-wise stability estimation at low computational cost.
Further, we analyse the particular function of certain network motifs to promote or degrade the stability of the system. Here we uncover the impact of so-called detour motifs on the appearance of nodes with a poor stability score and discuss implications for power grid design.