Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 32, Issue 5, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812742250064X
Keywords
Border collision bifurcation; nonlinear iterative map model; single-inductor dual-output converter; topology sequence changes
Funding
- National Natural Science Foundation of China [51577141]
- Natural Science Basic Research Plan in Shaanxi Province of China [2021JM-014]
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This paper thoroughly investigates the evolution of three types of border collision bifurcations in a high-order single-inductor double-output DC-DC converter under one-cycle control. The study reveals the underlying mechanisms of complicated nonstandard bifurcations and provides parameter boundaries for design guidance.
In this paper, the evolution of three types of border collision bifurcations are investigated thoroughly for a high-order single-inductor double-output DC-DC converter with one-cycle control (OCC). Multi-piecewise inductor current with more than one border and cross-coupling effect between different output ports are prominent features of the system, resulting in unexpected period incrementing cascade and transition from periodicity to chaos as a parameter is varied. A high-order nonlinear iterative map model is proposed, which reveals the underlying mechanisms of those complicated nonstandard and unsmooth bifurcations in the multiple-output system. Additionally, theoretical analysis shows that those nonstandard bifurcations arise from the boundary collisions, and more specifically, a fixed point suddenly appears in the borderline between various regions. Besides eigenvalue loci changes abruptly at the bifurcation point, the characteristic of border collision bifurcation is the topology sequence changes. Furthermore, the parameter boundaries are given to provide useful guidance for design. Finally, PSpice circuit experiments are performed to verify the above theoretical and numerical results.
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