Multiparameter bifurcation analysis of the south Brazilian power system

This paper presents a detailed bifurcation analysis of real multiparameter power systems. Equilibrium points are used to evaluate the system eigenvalues, obtain different bifurcation diagrams, and evaluate the stability for two systems (i.e., a simple theoretical system to illustrate the basic concepts and highlight the main issues) and the southern section of the Brazilian network to demonstrate how these ideas can be applied to a real power system. The paper studies the influence of soft and hard-limits and automatic voltage regulators (AVR) droop on the systems, using detailed generator models. The stability regions and the effect that various parameters and bifurcations have on them are studied in detail.