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