On some dissipativity properties of a class of power system models

Abstract

This paper studies the dissipativity propertiesof a class of power systemmodels, characterized by the absence of resistive loads andleaky lines. A Port-Controlled Hamiltonian (PCH) representation is given for each component of thenetwork and its dissipativity properties are shown. The linear model around theequilibrium is shown to meet a convex condition in the frequency domain, able tobe exploited in the stability analysis of interconnected systems. The application ofthis property to a classical example shows that it can be computationally exploitedeven in the case of non-idealized models.