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Bifurcations associated with sub-synchronous resonance

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3 Author(s)
Varghese, M. ; Landis & Gyr Utilities Services Inc., San Jose, CA ; Wu, F.F. ; Varaiya, P.

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 the Hopf bifurcation theorem. After the first Hopf bifurcation, the stable limit cycle bifurcates to a stable torus and an unstable limit cycle which connects to a stable limit cycle by a supercritical torus bifurcation. 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 winding

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Power Systems, IEEE Transactions on  (Volume:13 ,  Issue: 1 )