Nonlinear controllability of singularly perturbed models of power flow networks

A method based on differential geometric control theory is presented intended to provide insight into how the nodes of a power network can affect each other. In this preliminary report, we consider a simple model of a power system derived from singular perturbation of the power flow equations. It is shown that such a model is accessible, and that for simple chain topology the network is actually feedback linearizable. The result is illustrated numerically. This simple example is a precursor for more interesting models of networks.