The dynamics of DC/DC power converters, modelled by a set of differential equations with discontinuous right-hand side is studied. Period-doubling and corner-collision bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space seem to indicate the occurrence of a codimension-2 bifurcation that has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a nonhyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.
On two-parameter nonsmooth bifurcations in power converters / F., Angulo; DI BERNARDO, Mario; S. J., Hogan; G., Olivar. - STAMPA. - 2:(2005), pp. 1485-1488. (Intervento presentato al convegno IEEE Symposium on Circuits and Systems tenutosi a Kobe, Japan nel MAGGIO 2005) [10.1109/ISCAS.2005.1464880].
On two-parameter nonsmooth bifurcations in power converters
DI BERNARDO, MARIO;
2005
Abstract
The dynamics of DC/DC power converters, modelled by a set of differential equations with discontinuous right-hand side is studied. Period-doubling and corner-collision bifurcations are found to occur close to each other under small parameter variations. Closer examination of the parameter space seem to indicate the occurrence of a codimension-2 bifurcation that has not been reported so far in the literature and it corresponds to a corner-collision bifurcation of a nonhyperbolic cycle. The bifurcation boundaries are computed analytically in this paper and the system dynamics are unfolded close to the novel bifurcation point.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.