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DY: Fachverband Dynamik und Statistische Physik

DY 20: Focus Session: Modern Power Grid, Nonlinear Dynamics and Self-Organization (joint with SOE)

DY 20.2: Hauptvortrag

Mittwoch, 13. März 2013, 15:30–16:00, H44

Basin Stability and its Consequences for Power Grids — •Jürgen Kurths, Peter Menck, and Peng Ji — Potsdam Institute for Climate Impact Research, P.O. Box 601203, 14412 Potsdam,

The human brain, power grids, arrays of coupled lasers, and the Amazon rainforest contain the same seed of trouble: multistability. With undesired states looming in state space, it matters strongly how stable the desired state is against major perturbations. Surprisingly, this basic question has so far received little attention. Here we claim that the traditional linearization-based approach to stability is too local to answer it. As a complement, we suggest to quantify stability in terms of basin stability, a new measure related to the volume of the basin of attraction. Basin stability is non-local, non-linear, and easily applicable even to high-dimensional systems. Its consequences for evaluating stability of power grids and their will be discussed.