Quadratic and Cubic Approximations of a Single-Machine Power System Model with PSS

This paper presents the results of building quadratic and cubic approximations of a non-linear space state single-machine power system model. The synchronous generator model accounts for the action of an automatic excitation regulator, a power system stabilizer, and damper windings. The approximations developed are useful for analytical studies of non-linear modal interactions in power systems with linear and bilinear control.