Berlin 2012 – wissenschaftliches Programm
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SYND: Symposium Control of Network Dynamics
SYND 1: Symposium Control of Network Dynamics (SYND)
SYND 1.4: Hauptvortrag
Donnerstag, 29. März 2012, 11:00–11:30, H 0105
Braess Paradox, (In-)Stability and Optimal Design: Nonlinear Dynamics of Modern Power Grids — •Marc Timme1,2, Dirk Witthaut1, Martin Rohden1, and Andreas Sorge1,2 — 1Network Dynamics Group, MPI for Dynamics and Self-Organization, Goettingen — 2Faculty of Physics, University of Goettingen
Distributed, renewable energy sources will dominate the dynamics of future electric power grids. Upgrading grids for decentralized sources poses an enormous challenge for its design and stable operation and constitutes a multi-billion Euro business.
Bridging the gap between abstract statistical physics and detailed engineering device modeling, we are aiming to understand nonlinear power grid dynamics at an intermediate level using simple but dynamic coarse-scale oscillator models. Substantial results so far include: 1) The addition of new transmission lines may destabilize power grid operation (via Braess paradox that we identified in oscillator networks). 2) More and smaller, but distributed power sources may stabilize grid operation. Our results indicate that coarse-scale modeling of power grids by oscillator networks seems feasible for the study of their self-organized synchronization dynamics.
References:
Dirk Witthaut and Marc Timme, Braess Paradox in Oscillator Networks and Power Outage, under review (2012)
Martin Rohden, Andreas Sorge, Marc Timme, and Dirk Witthaut, Self-Organized Synchronization of Decentralized Power Grids, in prep. (2012)