Complex bifurcation and torus breakdown in higher order converters with an inductive impedance load

Power switching converters have exhibited a wide range of nonlinear behaviors, such as bifurcation and chaos. In this paper, complex bifurcation behaviors in higher order converters with an inductive impedance load are analyzed by studying the Floquet multipliers and the switching modes of the system. A single inner current loop controlled Čuk converter is used as an example to account. The period-1 orbit loses its stability by period-doubling and subcritical Neimark-Sacker bifurcations. We find that border collision behavior occurs between period-2 orbits. And then the period-2 orbit enters an unstable torus orbit via Neimark-Sacker bifurcation. The dynamical behaviors of the system are clearly studied under certain conditions. The mechanism of the coexisting phenomenon from subcritical Neimark-Sacker bifurcation is explained. Finally, the chaotic phenomenon from torus breakdown is firstly detected in this higher order switching converter with an inductive impedance load, its characteristics about phase shift to different initial conditions are investigated as well.