Title :
Analysis of voltage control systems exhibiting Hopf bifurcation
Author :
Rajagopalan, C. ; Sauer, P.W. ; Pai, M.A.
Author_Institution :
Dept. of Electr. & Comput. Eng., Illinois Univ., Urbana, IL, USA
Abstract :
Stability at critical load levels is analyzed using Hopf bifurcation theory. The authors consider the detailed two-axis model and show that a pair of complex eigenvalues associated with the excitation system undergo Hopf bifurcation near the critical load level. A center manifold is constructed, and the stability of the periodic solution so obtained is examined
Keywords :
eigenvalues and eigenfunctions; load (electric); power systems; voltage control; Hopf bifurcation theory; center manifold; complex eigenvalues; critical load level; power systems; stability; two-axis model; voltage control systems; Bifurcation; Control system analysis; Eigenvalues and eigenfunctions; Jacobian matrices; Partial differential equations; Power system dynamics; Power system modeling; Stability analysis; Taylor series; Voltage control;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70129
