Differential flatness of the flux-decay generator model

Abstract

This paper shows that the flux-decay model of a synchronous generator exhibits the property of differential flatness. Differential flatness will be utilized for planning the generator's trajectory as there is a one-to-one correspondence between output curves and trajectories for states and inputs. Flat outputs of the generator are taken to be the generator's complex current injected into the power network, and inputs are taken to be the power set-point for the governor and reference voltage for the voltage regulator. The utility of the property and it's application is demonstrated through trajectory planning, open-loop control and simulation of a single machine infinite bus system, as well as a simple linearizing feedback scheme to a 9-bus system with constant impedance loads.