Influence of disorder and noise in controlling the dynamics of power grids?

We investigate complex dynamic networks which can model high-voltage power grids with renewable, fluctuating energy sources. The Kuramoto model with inertia is used 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 Erdös-Renyi network. We focus on the changes in the hysteric loop while varying mass of inertia and dilution. Second, we implement Gaussian white noise describing the randomly fluctuating input power, and investigate its role in shaping the dynamics.