Intermittency and bifurcation in SEPICs under voltage-mode control

doi:10.1088/1674-1056/19/8/080511

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80511-080511.doi: 10.1088/1674-1056/19/8/080511

Intermittency and bifurcation in SEPICs under voltage-mode control

刘芳

College of Electrical and Information Engineering, North China University for Nationalities, Yinchuan 750021, China

收稿日期:2009-04-22 修回日期:2010-03-05 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
Project supported by the Natural Science Foundation of Ningxia Autonomous Region, China (Grant No. NZ0954).

Intermittency and bifurcation in SEPICs under voltage-mode control

Liu Fang(刘芳)^†

College of Electrical and Information Engineering, North China University for Nationalities, Yinchuan 750021, China

Received:2009-04-22 Revised:2010-03-05 Online:2010-08-15 Published:2010-08-15
Supported by:
Project supported by the Natural Science Foundation of Ningxia Autonomous Region, China (Grant No. NZ0954).

摘要/Abstract

摘要： A stroboscopic map for voltage-controlled single ended primary inductor converter (SEPIC) with pulse width modulation (PWM) is presented, where low-frequency oscillating phenomena such as quasi-periodic and intermittent quasi-periodic bifurcations occurring in the system are captured by numerical and experimental methods. According to bifurcation diagrams and nonlinear dynamical theory, the characteristics of the low-frequency oscillation and the mechanism for the appearance of the low-frequency oscillation are investigated. It is shown that as the controller parameter varies, the change in the conduction mode takes place from the continuous conduction mode (CCM) under the originally stable period one and high periodic orbits to the intermittent changes between CCM and discontinuous conduction mode (DCM), which may be related to the losing stability of the system and brought the system to exhibiting low-frequency oscillating behaviour in the time domain. Moreover, the occurrence of the intermittent quasi-periodic oscillation reflects that the system undergoes a Neimark--Sacker bifurcation.

Abstract: A stroboscopic map for voltage-controlled single ended primary inductor converter (SEPIC) with pulse width modulation (PWM) is presented, where low-frequency oscillating phenomena such as quasi-periodic and intermittent quasi-periodic bifurcations occurring in the system are captured by numerical and experimental methods. According to bifurcation diagrams and nonlinear dynamical theory, the characteristics of the low-frequency oscillation and the mechanism for the appearance of the low-frequency oscillation are investigated. It is shown that as the controller parameter varies, the change in the conduction mode takes place from the continuous conduction mode (CCM) under the originally stable period one and high periodic orbits to the intermittent changes between CCM and discontinuous conduction mode (DCM), which may be related to the losing stability of the system and brought the system to exhibiting low-frequency oscillating behaviour in the time domain. Moreover, the occurrence of the intermittent quasi-periodic oscillation reflects that the system undergoes a Neimark–Sacker bifurcation.

Key words: low-frequency oscillation, intermittency, single ended primary inductor converter, Neimark–Sacker bifurcation

中图分类号: (Power electronics; power supply circuits)

84.30.Jc

02.30.Oz (Bifurcation theory) 84.32.Hh (Inductors and coils; wiring) 84.40.Ua (Telecommunications: signal transmission and processing; communication satellites)

刘芳. Intermittency and bifurcation in SEPICs under voltage-mode control[J]. 中国物理B, 2010, 19(8): 80511-080511.

Liu Fang(刘芳). Intermittency and bifurcation in SEPICs under voltage-mode control[J]. Chin. Phys. B, 2010, 19(8): 80511-080511.

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Intermittency and bifurcation in SEPICs under voltage-mode control

Intermittency and bifurcation in SEPICs under voltage-mode control

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