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Inserting the switched-inductor structure into a traditional Boost converter can increase its line-to-output voltage ratio significantly, decrease the current stresses in the switching elements, reduce losses, and improve efficiency at the same time, which makes it find wide applications in prospect. The bifurcation and chaos phenomenon occurring in the hybrid step-up converter with switched-inductor structure is studied for the first time so far as we know. The discrete iterated mapping model under continuous current mode is established, while the effects of circuit parameters on system performance are analyzed by using bifurcation diagrams. Not only period-doubling bifurcation, border collision bifurcation, tangent bifurcation and intermittent chaos are found in this converter, but a special phenomenon can also be observed according to the simulation result. With the decrease of the capacitance C and inductance L2, the circuit experiences roughly a period, double-period and quadruple-period, and during the quadruple period, two of the bifurcation lines will cross, which leads to the system exhibiting a period-3 behavior at that point. Finally, the existence of this special phenomenon is confirmed by the typical time-domain waveforms and phase portraits of the converter. Results obtained indicate that there can be more complicated and diversiform phenomena in the hybrid step-up converter with switched-inductor structure than in the traditional low-dimensional Boost converter as the circuit parameters vary.
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Keywords:
- switched-inductor /
- hybrid step-up converter /
- discrete iterated mapping /
- chaos
[1] Axelrod B, Berkovich Y, Ioinovici A 2008 IEEE Trans. Cir. Syst. I. 55 687
[2] Axelrod B, Berkovich Y, Ioinovici A 2006 Proc. IEEE Int. Symp. Cir. Syst. Kos Island, Greece, May 21–24, 2006, p5063
[3] Li G L, Li C Y, Chen X Y, Mou X M 2012 Acta Phys. Sin. 61 170506 (in Chinese) [李冠林, 李春阳, 陈希有, 牟宪民 2012 物理学报 61 170506]
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[5] Liu F 2008 Chin. Phys. B 17 2394
[6] Wang J P, Xu J P, Xu Y J 2011 Acta Phys. Sin. 60 058401 (in Chinese) [王金平, 许建平, 徐杨军 2011 物理学报 60 058401]
[7] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[8] Zhou Y F, Chen J N 2005 Proceeding of the CSEE 25 23 (in Chinese) [周宇飞, 陈军宁 2005 中国电机工程学报 25 23]
[9] Xie L L, Gong R X, Zhou H Z, Ma X H 2012 Acta Phys. Sin. 61 058401 (in Chinese) [谢玲玲, 龚仁喜, 卓浩泽, 马献花 2012 物理学报 61 058401]
[10] Wang F Q, Ma X K, Yan Y 2011 Acta Phys. Sin. 60 060510 (in Chinese) [王发强, 马西奎, 闫晔 2011 物理学报 60 060510]
[11] Luo P, Zhen S W, Li Y L, Li Z J, Zhang B 2008 Proceeding of the CSEE 28 49 (in Chinese) [罗萍, 甄少伟, 李彦麟, 李肇基, 张波 2008 中国电机工程学报 28 49]
[12] Bernardo M D, Vasca F 2000 IEEE Trans. Circ. Syst. I 47 130
[13] Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electron. 13 252
[14] Tse C K 1994 IEEE Trans. Cir. Syst. I 41 16
[15] Bao B C, Yang P, Ma Z H, Zhang X 2012 Acta Phys. Sin. 61 220502 (in Chinese) [包伯成, 杨平, 马正华, 张希 2012 物理学报 61 220502]
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[1] Axelrod B, Berkovich Y, Ioinovici A 2008 IEEE Trans. Cir. Syst. I. 55 687
[2] Axelrod B, Berkovich Y, Ioinovici A 2006 Proc. IEEE Int. Symp. Cir. Syst. Kos Island, Greece, May 21–24, 2006, p5063
[3] Li G L, Li C Y, Chen X Y, Mou X M 2012 Acta Phys. Sin. 61 170506 (in Chinese) [李冠林, 李春阳, 陈希有, 牟宪民 2012 物理学报 61 170506]
[4] Liu F 2010 Chin. Phys. B 19 080511
[5] Liu F 2008 Chin. Phys. B 17 2394
[6] Wang J P, Xu J P, Xu Y J 2011 Acta Phys. Sin. 60 058401 (in Chinese) [王金平, 许建平, 徐杨军 2011 物理学报 60 058401]
[7] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[8] Zhou Y F, Chen J N 2005 Proceeding of the CSEE 25 23 (in Chinese) [周宇飞, 陈军宁 2005 中国电机工程学报 25 23]
[9] Xie L L, Gong R X, Zhou H Z, Ma X H 2012 Acta Phys. Sin. 61 058401 (in Chinese) [谢玲玲, 龚仁喜, 卓浩泽, 马献花 2012 物理学报 61 058401]
[10] Wang F Q, Ma X K, Yan Y 2011 Acta Phys. Sin. 60 060510 (in Chinese) [王发强, 马西奎, 闫晔 2011 物理学报 60 060510]
[11] Luo P, Zhen S W, Li Y L, Li Z J, Zhang B 2008 Proceeding of the CSEE 28 49 (in Chinese) [罗萍, 甄少伟, 李彦麟, 李肇基, 张波 2008 中国电机工程学报 28 49]
[12] Bernardo M D, Vasca F 2000 IEEE Trans. Circ. Syst. I 47 130
[13] Banerjee S, Chakrabarty K 1998 IEEE Trans. Power Electron. 13 252
[14] Tse C K 1994 IEEE Trans. Cir. Syst. I 41 16
[15] Bao B C, Yang P, Ma Z H, Zhang X 2012 Acta Phys. Sin. 61 220502 (in Chinese) [包伯成, 杨平, 马正华, 张希 2012 物理学报 61 220502]
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