State space analysis of electric power systems

The dynamic analysis of a balanced three-phase electrical power system comprised of a finite set of: (1) synchronous generators, (2) induction and/or synchronous devices, (3) transmission line networks, (4) RL (or RLC)-loads, and (5) mechanical loads is analyzed by use of the state variable approach. Each component of the electric power system is described by its own state model. These constituent component state models are then interconnected as dictated by the topology of the power system at hand, and the state model for the total system is derived. The resultant state model can then be solved on a digital computer. The state models of the energy converters, the RL-load, and the mechanical load are borrowed from [6, 7 and 8], and the state model of the transmission line is borrowed from [1]. Finally, the algorithm GEBVEM, developed in [1] is used to formulate the state model of the power system at hand and to provide solutions for the desired state variables.