Solution to the multi-machine transient stability problem and simulated validation in realistic scenarios

A solution to the problem of transient stabilisation for multi-machine power systems, with transfer conductances different from zero, is given. The 3n-dimensional (aggregated) model of the n-generator system, with lossy transmission lines, non-linear loads and excitation control, is considered. A non-linear dynamic state-feedback control law that ensures, under some conditions on the physical parameters, global asymptotic stability of the operating point is constructed. To the best of the authors´ knowledge only existence results - with the restrictive assumption of uniform inertia generators - are available to date for this problem. Simulation results on the New England benchmark system illustrate the performance of the proposed controller.