Influence of period-doubling bifurcations in the appearance of border collisions for a ZAD-strategy-controlled buck converter
| Autor: | Maria Belen D'Amico, Fabiola Angulo, Gerard Olivar, Jorge L. Moiola, Eduardo E. Paolini |
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| Rok vydání: | 2010 |
| Předmět: |
Period-doubling bifurcation
Engineering Buck converter business.industry Applied Mathematics Saddle-node bifurcation Bifurcation diagram Instability Computer Science Applications Electronic Optical and Magnetic Materials Transcritical bifurcation Duty cycle Control theory Electrical and Electronic Engineering business Bifurcation |
| Zdroj: | International Journal of Circuit Theory and Applications. 40:77-91 |
| ISSN: | 0098-9886 |
| DOI: | 10.1002/cta.707 |
| Popis: | The first period-doubling bifurcation of a dc–dc buck converter controlled by a zero-average dynamic strategy is studied in detail. Owing to the saturation of the duty cycle, this bifurcation is followed by a border-collision bifurcation, which is the main mechanism to introduce instability and chaos in the circuit. The multiparameter analysis presented here leads to a complete knowledge of the relatioship between these two bifurcations. The results are obtained by using a frequency-domain approach for the study of period-two oscillations in maps. Copyright © 2010 John Wiley & Sons, Ltd. (The ∞-norm of a matrix A is defined as ∥A∥ = maxij|aij|. In particular, |aij|⩽∥A∥ for all i and j.) |
| Databáze: | OpenAIRE |
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