Title :
Frequency domain analysis of Hopf bifurcations in electric power networks
Author :
Kwatny, H.G. ; Piper, G.E.
Author_Institution :
Dept. of Mech. Eng. & Mech., Drexel Univ., Philadelphia, PA, USA
Abstract :
An approach is discussed for studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation. The method is based on a frequency-domain version of the Hopf bifurcation theorem due to A. Mees and L. Chua (1979) and is suitable for the detailed study of large-scale systems. The practical importance of establishing the type of Hopf bifurcation, i.e., subcritical or supercritical, is emphasized. Systems which operate near a subcritical Hopf bifurcation point are clearly vulnerable to disturbances
Keywords :
chaos; frequency-domain analysis; large-scale systems; power system control; stability; transmission network calculations; electric power networks; frequency-domain analysis; large-scale systems; parametric instabilities; subcritical Hopf bifurcation; supercritical Hopf bifurcation; Bifurcation; Damping; Eigenvalues and eigenfunctions; Frequency domain analysis; Intelligent networks; Large-scale systems; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70475
