Complex instabilities near codimension-2 bifurcation and torus breakdown in a Cuk converter with an inductive impedance load

Power switching converters exhibit a wide range of nonlinear behavior, such as bifurcation and chaos. Complex instabilities near the codimension-2 bifurcation point are shown in some nonlinear higher order systems. In this study, codimension-2 bifurcation and complex instabilities in a single inner...

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Bibliographic Details
Published in:Science China. Information sciences 2014-02, Vol.57 (2), p.178-187
Main Authors: Xie, Fan, Zhang, Bo, Yang, Ru, Qiu, DongYuan
Format: Article
Language:English
Subjects:
Bifurcations
Breakdown
Computer Science
Converters
Dynamical systems
Floquet乘子
Impedance
Information Systems and Communication Service
Initial conditions
Instability
Orbital stability
Orbits
Research Paper
Stability
Switching
Toruses
不稳定性
余维2分叉
环面
电感性
破裂
负载
阻抗
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Summary:Power switching converters exhibit a wide range of nonlinear behavior, such as bifurcation and chaos. Complex instabilities near the codimension-2 bifurcation point are shown in some nonlinear higher order systems. In this study, codimension-2 bifurcation and complex instabilities in a single inner current loop controlled Cuk converter with an inductive impedance load are analyzed by studying the Floquet multipliers and switching modes of the system. The periodl orbit loses its stability by period-doubling and subcritical Neimark- Sacker bifurcations. The period2 orbit enters a two-loop torus orbit via border collision and Neimark-Saeker bifurcations. The dynamic behavior of the system near the eodimension-2 bifurcation points is clearly studied. The mechanism of the coexisting phenomenon from the subcritical Neimark-Sacker bifurcation is explained. Finally, chaos from torus breakdown is detected in this higher order switching converter with an inductive impedance load and its phase shift characteristics to different initial conditions are investigated.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-013-5008-1