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Two-parameter discontinuity-induced bifurcation curves in a ZAD-strategy-controlled dc-dc buck converter

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3 Author(s)
Fabiola Angulo ; Dept. of Electr. & Electron. Eng. & Comput. Sci., Univ. Nac. de Colombia, Manizales ; Gerard Olivar ; Mario di Bernardo

The dynamics of a zero-average dynamic strategy controlled dc-dc Buck converter, 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 leads to the discovery of a novel bifurcation. This type of bifurcation 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.

Published in:

IEEE Transactions on Circuits and Systems I: Regular Papers  (Volume:55 ,  Issue: 8 )