Reduced order transmission line models for power system analysis

This article presents a technique to compute reduced order models of transm ission lines which are amenable to embedding in eigenvalue analysis and sim ulation programs for linear continuous time-invariant power system represen tations. In the first step, a lumped approximated model of each transmissio n line is computed, then in the second step a model-order reduction techniq ue is applied on subsystems of transmission lines by means of balancing and truncation. The technique is superior to modal truncation as the system ma trices remain real and system zeroes can be matched. It is also superior to pi-section modelling in terms of transfer function approximation at the sa me model order. Examples are shown to illustrate the advantages of the tech nique over conventional representations. (C) 1998 Elsevier Science Ltd. All rights reserved.