Bifurcation analysis of a three node power system with detailed models

Abstract

This article presents a comprehensive study of bifurcations in a realistic power system model. The two-axis model for the generator with the field winding on the d-axis and a damper winding on the q-axis (1.1 model), along with the excitation system is considered to represent the dynamics of the generator. The load is described by a dynamic load model. The dynamics of the resulting system is studied using (i) input power to the generator, (ii) both active and reactive power demand at the load bus, (iii) reference voltage to the AVR as bifurcation parameters. It is found that model refinement results in significant qualitative changes in the system behaviour. Quasiperiodic behaviour is shown to result from a torus bifurcation. The system also exhibits chaotic behaviour resulting from cascades of period-doubling bifurcations. Detailed numerical simulations are presented to illustrate the types of dynamic behaviour and attractors encountered.