In the course of the energy transition, there is an increasing percentage of renewable energy plants withfluctuating power feed-in (wind, solar), and the existing power grid is progressively being decentralized. Thisdevelopment poses the questions of stable and reliable grid operation anew.

In this project, we investigate power system stability from the viewpoint of nonlinear dynamics of coupledoscillating subsystems. This approach relates the research topics of self-organizd synchronization andnetworks. The power grid is represented by a network of coupled synchronous machines. The networkmodel, which involves both rotor angle and voltage dynamics, can be shown to correspond to a modificationof the well-known Kuramoto model. The Kuramoto model describes the dynamics of a population of coupledphase oscillators displaying a phase transition from incoherence to partially synchronized states at a criticalcoupling strength.

On the basis of this model, we investigate the impacts of stochastic power feed-in, especially the short-termfluctuations of wind power plants, as well as we consider the question of topological aspects, that favourpower system stability.