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Chaos and instability in a power system: Subharmonic-resonant case

✍ Scribed by M. A. Nayfeh; A. M. A. Hamdan; A. H. Nayfeh

Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
887 KB
Volume
2
Category
Article
ISSN
0924-090X

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✦ Synopsis

The response of a single-machine quasi-infinite busbar system to the simultaneous occurrence of principal parametric resonance and subharmonic resonance of order one-half is investigated. By numerical simulations we show the existence of oscillatory solutions (limit cycles), period-doubling bifurcations, chaos, and unbounded motions (loss of synchronism). The method of multiple scales is used to derive a second-order analytical solution that predicts (a) the onset of period-doubling bifurcations, which is a precursor to chaos and unbounded motions (loss of synchronism), and (b) saddle-node bifurcations, which may be precursors to loss of synchronism.

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