%0 Journal Article
%T Bifurcation theory applied to the analysis of power systems
%A Revel
%A Gustavo
%A Alonso
%A Diego M.
%A Moiola
%A Jorge L.
%J Revista de la Uni£¿3n Matem£¿£¿tica Argentina
%D 2008
%I Uni¨®n Matem¨¢tica Argentina
%X in this paper, several nonlinear phenomena found in the study of power system networks are described in the context of bifurcation theory. toward this end, a widely studied 3-bus power system model is considered. the mechanisms leading to static and dynamic bifurcations of equilibria as well as a cascade of period doubling bifurcations of periodic orbits are investigated. it is shown that the cascade verifies the feigenbaum's universal theory. finally, a two parameter bifurcation analysis reveals the presence of a bogdanov-takens codimension-two bifurcation acting as an organizing center for the dynamics. in addition, evidence on the existence of a complex global phenomena involving homoclinic orbits and a period doubling cascade is included.
%K nonlinear systems
%K power systems
%K voltage collapse
%K numerical analysis
%K bifurcations
%K chaos.
%U http://www.scielo.org.ar/scielo.php?script=sci_abstract&pid=S0041-69322008000100002&lng=en&nrm=iso&tlng=en