# Regensburg 2013 – wissenschaftliches Programm

## Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe

# DY: Fachverband Dynamik und Statistische Physik

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

### DY 20.5: Vortrag

### Mittwoch, 13. März 2013, 17:00–17:15, H44

**Synchronization and Voltage Stability in a Network of Synchronous Machines** — •Katrin Schmietendorf and Rudolf Friedrich — Institute for Theoretical Physics, University of Münster, Germany

Since the progressive integration of renewable energy sources involves substantial changes in grid topology and feed-in characteristics, the questions of power system stability and design have to be reconsidered. Power system stability, or more precisely rotor angle stability, is related to synchronization phenomena as the classical synchronous machine representation can be shown to correspond to a modified version of the prominent Kuramoto model. The Kuramoto model describes the dynamics of a population of coupled oscillators displaying a phase transition from incoherence to partial synchronized states. In this talk we extend the classical Kuramoto-like model which assumes constant voltages by adding dynamical voltage equations. This yields a model which allows to treat both rotor angle and voltage stability and involves the feature of rotor angle and voltage stability interplay. We compare the behaviour of small networks of synchronous machines governed by the classical and the extended model during and after being subjected to different types of disturbances and discuss the implications for the simulation of complex power grids.