Abstract
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.
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The project supported by the National Natural Science Foundation of China (as a key project) and the State Education Committee Pre-research Foundation.
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Jianxue, X., Weiping, F. & Xinhua, Z. Bifurcation of the electromechanically coupled subsynchronous torsional oscillating system with hysteretic behavior. Acta Mech Sinica 13, 81–90 (1997). https://doi.org/10.1007/BF02487833
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DOI: https://doi.org/10.1007/BF02487833