Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 43: Energy Systems and Power Grid (joint session DY/ AK Energy /SOE)

DY 43.7: Talk

Thursday, March 19, 2015, 11:15–11:30, BH-N 243

Detours around basin stability in power networks — •Paul Schultz^1,2, Jobst Heitzig¹, and Jürgen Kurths^1,2,3,4 — 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.