Stability region estimation of hybrid multi-machine power system

The stability problem of the hybrid system under expected operating conditions is investigated using the decomposition aggregation technique. The hybrid power system considered consists of conventional synchronous generating plants, a wind park composed of certain number of wind turbines coupled with synchronous generators, and interconnected transmission lines. The new technique based on Bellman´s concept of vector Lyapunov function is adopted. An advanced approach is proposed: the triple-wise decomposition-aggregation for a multi-machines hybrid power system, considering the transfer conductance and uniform damping. For this algorithm the system is decomposed into (n-1)/2 three-machine subsystems for odd number of machines, or (n-2)/2 three-machine plus one two-machine subsystems for even number of machines. Six nonlinearities are considered for each free subsystem. The domain of attraction is estimated to study the effect of introducing non-conventional energy source