Oscillatory stability and limit cycle in an autonomous system with wind generation

Incorporation of induction machine dynamics in power system stability studies is necessary due to the increased penetration of induction machines in both consumption and generation. This paper investigates power system oscillatory stability considering induction machines as dynamic elements. It is shown that for an autonomous system with a large degree of induction machine penetration, synchronous and asynchronous machine dynamics interact significantly, leading to nonlinear phenomena (Hopf bifurcation and emergence of a limit cycle).