|
|
|
| Period-Doubling Bifurcation Behaviors of a Controllable Rectifier With Capacitive Load |
| Su Yugang1, Tang Chunsen1, Wang Zhihui1, Sun Yue1, Hu Aiguo2 |
| 1. Chongqing University Chongqing 400030 China 2. The University of Auckland Auckland 1142 New Zealand |
|
|
|
|
Abstract A topology switching sequence analyzing (TSSA) method is proposed to study the period-doubling bifurcation behaviors of a triac-based controllable rectifier circuit with capacitive load. The triac is modeled as a nonlinear equivalent resistor. Considering the triggering and conducting conditions of the triac and the conducting condition of the rectifier, a piecewise state space model is set up. Based on that, a discrete iteration mapping model is further developed and verified. Combining with bifurcation diagram and phase portraits of the system, the proposed TSSA method identified the existence of both border collision bifurcation and standard period-doubling bifurcation in the system. The causes of these two type bifurcations are also studied. The results obtained can be used to guide the analysis and design of controllable rectifier circuits with capacitive load. The analysis method is useful for investigating nonlinear bifurcation behaviors in similar switch-mode circuits.
|
|
Received: 15 September 2008
Published: 17 February 2014
|
|
|
|
|
|
[1] Maity S, Tripathy D, Bhattacharya T K, et al. Bifurcation analysis of PWM-1 voltage-mode-controlled Buck converter using the exact discrete model[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2007, 54(5): 1120-1130.
[2] Xu C D, Cheng K W, Zhang H, et al. Study of intermittent bifurcations and chaos in Buck-Boost converters with input regulators[C]. 2nd International Conference on Power Electronics Systems and Applications, ICPESA '06, 2006: 268-272.
[3] El A A, Benadero L, Toribio E, et al. Hopf bifurcation and chaos from torus breakdown in a PWM voltage-controlled DC-DC Boost converter[J]. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1999, 46(11): 1374-1382.
[4] Tse C K.Complex behavior of switching power converters[M]. Boca Raton: CRC Press, 2003.
[5] 王学梅, 张波, 丘东元, 等. DC-DC变换器的符号时间序列描述及模块熵分析[J]. 物理学报, 2008, 57(10): 6112-6119.
[6] 李明, 马西奎, 戴栋, 等. 基于符号序列描述的一类分段光滑系统中分岔现象与混沌分析[J]. 物理学报, 2005, 54(3): 1084-1090.
[7] Jalali S, Dobson I, Lasseter R H, et al. Switching time bifurcations in a thyristor controlled reactor[J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 1996, 43(3): 209-218.
[8] Toyoshima R, Funaki T, Hikihara T. Anomalous phenomenon of conduction angle in TCR-SVC and its control[C]. 2004 IEEE 35th Annual Power Electronics Specialists Conference, PESC’04, 2004: 3403-3408.
[9] Du D, Tang Y. Bifurcations in a switching circuit with a thyristor controlled reactor[C]. 6th International Conference on Advances in Power System Control, Operation and Management, 2003: 508-513.
[10] Ghadiri A M, Rostami M, Parvizi A. Analysis and simulation of possible bifurcation and subharmonic oscillation in transformer coupled TCR system[C]. IEEE 2nd International Power and Energy Conference, 2008: 1682-1686. |
|
|
|
2009, Vol. 24 
