Dissipativity properties of detailed models of synchronous generators

This paper studies the dissipativity properties of full order dynamic models of synchronous generators. It is shown that, under widely accepted assumptions, these models satisfy a balance between the internal storage of a generalized energy and a suitably defined power supply associated to the stator and excitation circuits. This property has particular relevance since it allows to incorporate the detailed model of synchronous machines to classical energy functions used to analyze power system stability. The dissipation inequality implies also that the linear model around the equilibrium point meet a convex condition in the frequency domain, able to be exploited in the stability analysis of interconnected systems. The impact of excitation control and resistive losses on these properties is studied through a numerical example.