ON SOME DISSIPATIVITY PROPERTIES OF A CLASS OF POWER SYSTEM MODELS

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