Title :
Chaotic and subharmonic oscillations of a nonlinear power system
Author :
Chen, Xingwu ; Zhang, Weinian ; Zhang, Weidong
Author_Institution :
Dept. of Math., Sichuan Univ., Chengdu, China
Abstract :
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.
Keywords :
bifurcation; oscillations; power systems; transmission networks; Melnikov functions; chaotic oscillations; elliptic integrals; heteroclinic bifurcations; nonlinear oscillation; nonlinear power system; periodic oscillation; power transmission system; subharmonic bifurcations; subharmonic oscillations; Bifurcation; Chaos; Frequency; Orbits; Power generation; Power system analysis computing; Power system modeling; Power system security; Power systems; Voltage; Chaos; heteroclinic bifurcation; nonlinear oscillation; power system; subharmonic bifurcation;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2005.853512
