Dresden 2014 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 14: Energy meets Economy: Dynamics and Statistics of Future Energy Systems (accompanying symposium SYEE joint with DY and jDPG)
SOE 14.5: Talk
Wednesday, April 2, 2014, 12:45–13:00, GÖR 226
Self-Organized Synchronization and Voltage Stability in Power Grids Modeled by Networks of Synchronous Machines — •Katrin Schmietendorf1, Joachim Peinke1, Oliver Kamps2, and Rudolf Friedrich3 — 1Carl von Ossietzky Universität Oldenburg, Institut für Physik, ForWind — 2CeNoS, Münster — 3WWU Münster, Institut für Theoretische Physik
The energy transition is accompanied by grid decentralization and fluctuating power feed-in characteristics. Hence, with a view to future grids, power system stability and design are actual key issues.
We investigate power system stability in terms of self-organized synchronization aspects on the basis of a network of coupled synchronous machines. In recent years, a relationship between this approach and synchronization phenomena described by the well-known Kuramoto model (KM) has been uncovered. The KM models the dynamical behaviour of coupled oscillators displaying a phase transition from incoherent to partially synchronized states at a critical coupling value. In contrast to other attempts, our network model incorporates both rotor angle and voltage dynamics plus the feature of angle-voltage stability interplay. It can be shown to correspond to a novel version of the KM with time-varying coupling coefficients, which has not been investigated in the context of nonlinear dynamics yet.
We discuss the model's potential applications to modern power systems with a high percentage of renewable energy plants and present results concerning the stability properties of small two-machine units up to large networks.