a novel approach to trace time-domain trajectories of power systems in multiple time scales based flatness

this paper works on the concept of flatness and its practical application for the design of an optimal transient controller in a synchronous machine. the feedback linearization scheme of interest requires the generation of a flat output from which the feedback control law can easily be designed. thus the computation of the flat output for reduced order model of the synchronous machine with simplified turbine dynamics is hereby presented. the corresponding linearized compensator is derived as well as the nonlinear controller for transient stabilization of a synchronous machine subjected to large disturbances.  the transient  behavior  of  a  single  machine equipped  with  the so designed  nonlinear controllers feeding an  infinite  bus  is illustrated  via  simulation  in  matlab  environment. the results obtained for  transient disturbances on  the  single  machine infinite  bus  system  (smibs)  are  presented  and compared with other  control algorithms to demonstrate the effectiveness of the proposed scheme.