Bifurcations Associated with Sub-Synchronous Resonance

This paper describes a set of results of detecting nonlinear phenomena appearing in a turbine generator power system with series-capacitor compensation. The analysis was based on the Floquet theory as well as t h e Hopf Bifurcation theorem. After t he first Hopf bifurcation, t he stable limit cycle bifurcates t o a stable torus and a n unstable limit cycle which connects to a stable limit cycle by a supercritical torus bifurcation. The stable limit cycle joins with a n unstable limit cycle at a cyclic fold bifurcation. This unstable limit cycle is connected t o the second Hopf. It has been also numerically demonstrated tha t such a strange sequence of periodic orbits is created by a q-axis damper winding. KeywordsBifurcation, Floquet multiplier, Nonlinear analysis, Subsynchronous resonance, Series capacitor compensation, Power system dynamics