State space representation of interconnected power systems for dynamic interaction studies

Abstract

In this paper a linearized model of an interconnected power system in state space form is presented in order to analyse the dynamic interactions of its components across the interconnection network. The model, modularly structured, proves flexible and includes detailed descriptions of generators with their control devices, static and dynamic loads. The mathematical representation of the system is formulated such that the effect of interconnection on system characteristic polynomial and system dynamic stability can be systematically investigated. Additionally, a suitable index is defined to measure the degree of dynamic interaction which may occur between the machines of the interconnected power system. A numerical example is included using a four-generator ten-bus system to illustrate the capability of the developed model and the usefulness of the proposed technique.