Passivity enforcement of wideband line model through coupled perturbation of residues and poles

Abstract

Ensuring stability in transient simulations of power systems requires that intrinsically passive components of the network should be represented with passive models, including transmission lines and cables. Existing research on passivity enforcement of the wideband line or cable model is based on the perturbation of residues of the state-space model of the characteristic admittance, ignoring its poles and its constant term. This paper presents the advantages and limitations of including the poles and constant matrix of the characteristic admittance in the passivity enforcement method of wideband models.