In subsynchronous resonance (SSR) systems where shaft systems of turbine-generator sets are coupling with electric networks,
Hopf bifurcation will occur under certain conditions. Some singularity phenomena may generate when the hysteretic behavior
of couplings in the shaft systems in considered. In this paper, the intrinsic multiple-scale harmonic balance method is extended
to the nonlinear autonomous system with the non-analytic property, and the dynamic complexities of the system near the Hopf
bifurcation point are analyzed.
Key words hysteresis - Hopf bifurcation - intrinsic multiple-scale harmonic balance method - electromechanical coupling - subsynchronous resonance
The project supported by the National Natural Science Foundation of China (as a key project) and the State Education Committee
Pre-research Foundation.