The aim of this paper is to investigate complex dynamic networks which can
model high-voltage power grids with renewable, fluctuating energy sources. For
this purpose we use the Kuramoto model with inertia to model the network of
power plants and consumers. In particular, we analyse the synchronization
transition of networks of N phase oscillators with inertia (rotators) whose
natural frequencies are bimodally distributed, corresponding to the
distribution of generator and consumer power. First, we start from globally
coupled networks whose links are successively diluted, resulting in a random
Erd\"os-Renyi network. We focus on the changes in the hysteretic loop while
varying inertial mass and dilution. Second, we implement Gaussian white noise
describing the randomly fluctuating input power, and investigate its role in
shaping the dynamics. Finally, we briefly discuss power grid networks under the
impact of both topological disorder and external noise sources.Comment: 7 pages, 6 figure