Differential flatness of the flux-decay generator model

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.