Hopf bifurcation and chaos from torus breakdown in a PWM voltage-controlled DC-DC boost converter

被引：80

作者：

El Aroudi, A ^{[1
]}

Benadero, L ^{[1
]}

Toribio, E ^{[1
]}

Olivar, G ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada & Telemat, E-08034 Barcelona, Spain

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 1999年 / 46卷 / 11期

关键词：

chaos; dc-boost converter; Hopf bifurcation; phase locking; PWM voltage controlled; quasi-periodicity; torus breakdown;

D O I：

10.1109/81.802837

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The behavior of a closed loop dc-dc boost converter is investigated when the pulse width modulation (PWM) period is varied. The dynamics are analyzed both by using analytical solutions of the state equations and by the stroboscopic map. Tills analysis shows that Hopf bifurcation occurs at a certain value of the parameters. Phase-locking periodic windows, the period adding sequence, and the transition from quasi-periodicity to period doubling via torus breakdown are also obtained. An experimental prototype was built to check the numerical results. Parasitic elements, such as the equivalent series resistance of the inductor and the conducting voltage of the diode, are included in the model to obtain better concordance with experiments.

引用

页码：1374 / 1382

页数：9

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