Journal article
Multistability and Torus Reconstruction in a DC–DC Converter With Multilevel Control
By virtue of their limited size and relatively low costs, multilevel dc-dc converters have come to play an important role in modern industrial power supply systems. When operating in a regime of high corrector gain, such converters can display a variety of new dynamic phenomena associated with the appearance of additional oscillatory modes.
Starting in a state where four pairs of stable and unstable period-6 cycles coexist with the basic period-1 cycle, the paper describes a sequence of smooth and nonsmooth bifurcations through which the cycles and their basins of attraction transform as the output voltage is increased. The paper also describes the birth of a multilayered resonance torus through a transverse pitchfork bifurcation of the saddle cycle on an ordinary resonance torus.
Language: | English |
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Publisher: | IEEE |
Year: | 2013 |
Pages: | 1937-1946 |
ISSN: | 19410050 and 15513203 |
Types: | Journal article |
DOI: | 10.1109/TII.2012.2228872 |
DC-DC power convertors Power, Energy and Industry Applications Signal Processing and Analysis bifurcation oscillations
Bifurcation DC-DC power converters Feedback Piecewise-smooth dynamical systems Power system dynamics border-collision bifurcations corrector gain dynamic phenomena industrial power supply systems multilayered resonance multilevel control multilevel dc-dc converters multistability multistability reconstruction nonsmooth bifurcations oscillatory modes period-1 cycle resonance torus saddle cycle smooth bifurcations stable period-6 cycles torus reconstruction torus-birth bifurcations transverse pitchfork bifurcation unstable period-6 cycles