Reduced-order modelling of linear MIMO systems with the Padé approximation method

The Padé approximation method, coupled with three powerful dominant pole selection criteria, is introduced for the purpose of application to the high-degree matrix transfer function (which may be derived by the application of the Leverrier algorithm to the MIMO linear time-invariant state-space representation) of the original system and obtaining corresponding adequate reduced-order model(s). The proposed method has been applied successfully to the matrix function (obtained by the application of the Leverrier algorithm) of a lOth-order two-input two-output time-invariant linear model of a practical power system.