On the dynamics of three phase electrical energy systems

In this paper we present a unified framework for modeling the dynamics of electrical energy systems that accounts for the dynamics of all elements of the systems, including generators, electrical network and loads. The approach is based on port-Hamiltonian system formulation and allows for a bidirectional flow of energy. A change of coordinates is introduced where the system admits constant operating points and all system components are modeled as time-invariant systems. Consequently, traditional methods for analysis and control of the system are applicable. The formulation is general enough to allow for a large class of uncontrolled and controlled dynamic loads.