Title :
Bifurcation and chaos in power systems
Author :
Gugushvili, Almaskhan Sh ; Dalakishvili, Gocha N. ; Gomareli, Nika M. ; Kekenadze, Vladimir M.
Author_Institution :
Dept. of Autom. Control Syst., Georgian Tech. Univ., Tbilisi, Georgia
Abstract :
Chaotic phenomena in dynamic systems represents on urgent task. It is particularly important in control of technical systems. The work deals with Hopf bifurcation and chaos in power systems. A three-machine system which is close to real systems is considered. Conditions are revealed in which bifurcation and chaos take place in power systems. For a three-generator system the torus is built in the phase space which corresponds to Arnold diffusion. A characteristic equation is given which describes a three-machine system and the analysis of the characteristic equation makes it possible to analyse Hopf bifurcation and random motions in power systems
Keywords :
bifurcation; chaos; diffusion; power system analysis computing; power system control; Arnold diffusion; Hopf bifurcation; chaos; characteristic equation; phase space; random motions; three-machine power system; Bifurcation; Chaos; Control systems; Equations; Nonlinear dynamical systems; Power system analysis computing; Power system dynamics; Power system modeling; Power systems; Stochastic systems;
Conference_Titel :
Control of Oscillations and Chaos, 1997. Proceedings., 1997 1st International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-4247-X
DOI :
10.1109/COC.1997.631369
