Study on bifurcation and stability of the closed-loop current-programmed boost converters

doi:10.1088/1009-1963/16/4/012

中国物理B ›› 2007, Vol. 16 ›› Issue (4): 933-936.doi: 10.1088/1009-1963/16/4/012

Study on bifurcation and stability of the closed-loop current-programmed boost converters

赵益波, 张道秧, 张持健

Physics & Electronic Information College, Anhui Normal University, Wuhu 241000, China

收稿日期:2006-06-13 修回日期:2006-07-12 出版日期:2007-04-20 发布日期:2007-04-20

Study on bifurcation and stability of the closed-loop current-programmed boost converters

Zhao Yi- Bo(赵益波)^†, Zhang Dao-Yang(张道秧), and Zhang Chi-Jian(张持健)

Physics & Electronic Information College, Anhui Normal University, Wuhu 241000, China

Received:2006-06-13 Revised:2006-07-12 Online:2007-04-20 Published:2007-04-20

摘要/Abstract

摘要： In order to predict bifurcation point of the closed-loop current-programmed boost converter and enable this converter to operate at stable parameter space, this paper firstly establishes stroboscopic maps for this converter in the continuous conduction mode according to operating characteristics and topple of this converter. Parameter space at the steady state and bifurcation types are analysed together with stability theory of nonlinear equation. In the solving course, the duty cycle is avoided because of inversive solution, and accuracy is increased. Finally, correction is proved by numerical calculation.

Abstract: In order to predict bifurcation point of the closed-loop current-programmed boost converter and enable this converter to operate at stable parameter space, this paper firstly establishes stroboscopic maps for this converter in the continuous conduction mode according to operating characteristics and topple of this converter. Parameter space at the steady state and bifurcation types are analysed together with stability theory of nonlinear equation. In the solving course, the duty cycle is avoided because of inversive solution, and accuracy is increased. Finally, correction is proved by numerical calculation.

Key words: boost converter, discrete map, bifurcation

中图分类号: (High-current and high-voltage technology: power systems; power transmission lines and cables)

84.70.+p

84.30.Jc (Power electronics; power supply circuits) 82.40.Bj (Oscillations, chaos, and bifurcations) 02.30.-f (Function theory, analysis)

赵益波, 张道秧, 张持健. Study on bifurcation and stability of the closed-loop current-programmed boost converters[J]. 中国物理B, 2007, 16(4): 933-936.

Zhao Yi- Bo(赵益波), Zhang Dao-Yang(张道秧), and Zhang Chi-Jian(张持健). Study on bifurcation and stability of the closed-loop current-programmed boost converters[J]. Chinese Physics, 2007, 16(4): 933-936.

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Study on bifurcation and stability of the closed-loop current-programmed boost converters

Study on bifurcation and stability of the closed-loop current-programmed boost converters

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