Abstract
In this letter, a symbolic method is proposed for analyzing the bifurcation in switching power converters. This method focuses on the cyclic operation of the system which characterizes its bifurcation behavior. The concept of block switching sequence is introduced, which, in conjunction with the waveform periodicity of the system, can be used to distinguish the various types of bifurcation behavior, e.g. "smooth" period doubling and "nonsmooth" border collision. This concept explicitly exposes the mechanism of border collision from a circuit operational view-point and leads to a direct detection criterion for this global bifurcation. The proposed method is applied, as an illustrative example, to develop two-dimensional bifurcation diagrams for a voltage-mode controlled buck converter.
Original language | English |
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Pages (from-to) | 2263-2270 |
Number of pages | 8 |
Journal | International Journal of Bifurcation and Chaos in Applied Sciences and Engineering |
Volume | 15 |
Issue number | 7 |
DOIs | |
Publication status | Published - 1 Jan 2005 |
Keywords
- Bifurcation
- Border collision
- Power electronics
- Switching converters
- Switching sequence
- Symbolic analysis
ASJC Scopus subject areas
- Modelling and Simulation
- Applied Mathematics