Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:C1L-C
Session:
Number:C1L-C2
Transition to chaos via sequences of border collision bifurcations in a single-phase power electronic inverter
Viktor Avrutin, Zhanybai T. Zhusubaliyev, Erik Mosekilde, Laura Gardini,
pp.423-426
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Power electronic DC/AC converters play an important role in modern power supply technology. As parameters are varied, such converters may display a variety of unusual phenomena caused by the interaction of two internal oscillatory modes (the ramp cycle and the external sinusoidal reference signal). In this paper we consider a nonautonomous piecewise-smooth map describing the behavior of a DC/AC power converter. The dynamics of the map are investigated using a one-dimensional autonomous stroboscopic map. We discuss a new type of complex dynamics in which chaotic oscillations appear through an unusual sequence of border collision bifurcations, differently from a well-known direct transition from a stable fixed point to chaos.