Prof. Marc Timme , Chair for Network Dynamics Institute for Theoretical Physics & Center for Advancing Electronics Dresden (cfaed)
Physics Colloquium – Antrittsvorlesung
, 16:40 - 18:10
Hörsaal C213, Recknagel-Bau (REC), Fakultät Physik, TU Dresden , Haeckelstr. 3 , 01062 Dresden
Nonlinear Dynamics of Power Grids -- Braess' Paradox, Critical Links and Nonlocal Rerouting
Robust energy supply and distribution fundamentally underlies our economy, industry and daily life. The ongoing switch of energy sources from fossil to renewable creates a multitude of challenges for operating future-compliant power grids. Renewable-source generation is intrinsically smaller, more distributed, more heterogeneous, fluctuating, correlated and thus requires system-wide planning, balance and control. In this talk I highlight some of the challenges from the perspective of network dynamical systems. In particular, I show why collective aspects of network dynamics as emerging through a multitude of co-acting nonlinearities play a crucial role in the existence of relevant invariant dynamics, their (in)stability, the prediction of critical links and non-local rerouting of flows. A mechanistic understanding of the collective power grid dynamics is thus crucial to design, plan, operate and control them.
1) Dynamically Smart Grids: Schäfer et al., New J. Phys. 17:015002 (2015).
2) Impact of network topology: Rohden et al., Phys. Rev. Lett. 109:064101 (2012).
3) Braess’ Paradox: Witthaut & Timme, New J. Phys. 14:083036 (2012)
4) Critical links & nonlocal rerouting: Witthaut et al., Phys. Rev. Lett. 116: 138701 (2016).
This is joint work with Dirk Witthaut, Debsankha Manik, Martin Rohden, Benjamin Schäfer, Xiaozhu Zhang, Malte Schroeder and others.