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Chaotic and subharmonic oscillations of a nonlinear power system

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3 Author(s)
Xingwu Chen ; Dept. of Math., Sichuan Univ., Chengdu, China ; Weinian Zhang ; Weidong Zhang

In order to analyze complex oscillations with a large deviation for a nonlinear nonautonomous power-transmission system, heteroclinic and subharmonic bifurcations are discussed by technically computing Melnikov functions with the residue of a complex function and elliptic integrals, which gives a condition of parameters for chaotic oscillation and one for periodic oscillation. We describe the three-dimensional geometric structures of these parameter regions and the geometric relations among them. According to these regions, numerical simulations are implemented to demonstrate chaotic phenomena and subharmonic oscillations.

Published in:

Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:52 ,  Issue: 12 )

Date of Publication:

Dec. 2005

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