On transient stabilization of power systems : a power--shaping solutions for structure--preserving models

Abstract

The approach adopted in this paper for the transient stabilization of multimachine power systems sees the entire network as the (structure-preserving) interconnection of the network components. We #rst show that, under certain assumptions, these models admit a Hamiltonian description and are, then, shown to be cyclo-dissipative. Our main contribution is the identification-in terms of a linear matrix inequality (LMI)-of a class of power systems with resistive loads and leaky lines for which we can design excitation controllers that (locally) stabilize the desired equilibrium point. Since the LMI depends explicitly on the controller gain, a decentralized control action can be easily computed. The proposed technique is applied to a classical example