Towards a compositional analysis of multi-machine power systems transient stability

With this paper we initiate a compositional analysis of multi-machine power systems consisting of the interconnection of generators, loads, and transmission lines. We provide sufficient conditions for transient stability that do not rely on the overall model of the multi-machine power system which can be very complex. Instead, we provide simple conditions that each machine should independently satisfy. These conditions depend only on the machine parameters, the desired equilibrium currents, and the value of one of the loads (typically the largest) in the power system. Our compositional approach offers several advantages over existing alternatives: there is no need for a detailed model of the power system, transmission lines can be lossless or lossy, and we provide a natural Lyapunov function for the power system.