This paper describes a set of results of detecting nonlinear phenomena
appearing in a turbine generator power system with series-capacitor c
ompensation. The analysis was based on the Floquet theory as well as t
he Hopf Bifurcation theorem. After the first Hopf bifurcation, the sta
ble limit cycle bifurcates to a stable torus and an unstable limit cyc
le which connects to a stable limit cycle by a supercritical torus bif
urcation. The stable limit cycle joins with an unstable limit cycle at
a cyclic fold bifurcation. This unstable limit cycle is connected to
the second Hopf. It has been also numerically demonstrated that such a
strange sequence of periodic orbits is created by a q-axis damper win
ding.