ISSN:
1573-269X
Keywords:
Power systems
;
loss of synchronism
;
chaos
;
bifurcations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00045055
