Title :
Chaotic dynamics even in the highly damped swing equations of power systems
Author :
Salam, Fathi M A ; Bai, Shi ; Guo, Shixiong
Author_Institution :
Dept. of Electr. Eng. & Syst. Sci., Michigan State Univ., East Lansing, MI, USA
Abstract :
The authors present a simulation of the equations of a two-machine swing, each component of which has nonzero damping. The simulation confirms the nonempty transversal intersection of the stable and unstable manifolds of a saddle point and its replica. This intersection means that a homoclinic orbit exists in the dynamics. This in turn implies the existence of chaotic dynamics in the two-machine system
Keywords :
power system interconnection; stability; chaotic dynamics; damped swing equations; homoclinic orbit; nonempty transversal intersection; power system interconnection; saddle point; stable manifolds; two-machine power system; unstable manifolds; Chaos; Damping; Equations; Manifolds; Power system dynamics; Power system modeling; Power system simulation; Power system stability; Power system transients; Power systems;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194396
