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According to four different operating modes of a BIFRED converter, a piecewise smooth linear time-varying model for pulse train (PT)-controlled BIFRED converter operating in dual discontinuous conduction modes (DCM-DCM) is established, from which time-domain waveforms and phase portraits under different loads are obtained by numerical simulations. By analyzing the variation of the charge of an output capacitor in a switching period, a one-dimensional approximate discrete mapping model for PT-controlled DCM-DCM BIFRED converter is derived, in which the multi-periodic behaviors with the variations of the load resistance and the input voltage are studied, and the stability analysis and the estimations of the load resistance ranges are performed. Research findings indicate that the dynamical behaviors depicted by the one-dimensional approximate discrete mapping model are in good agreement with those described by the piecewise smooth linear time-varying model, well revealing the complicated multi-periodic behaviors existing in the PT-controlled DCM-DCM BIFRED converter. By PSIM circuit simulations and physical circuit experimental measurements, the waveforms obtained are consistent with the results of theoretical analysis, effectively validating the feasibility of the two dynamical models.
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Keywords:
- pulse train control /
- BIFRED converter /
- border-collision bifurcation /
- multi-periodic behavior
[1] Sha J, Bao B C, Xu J P, Gao Y 2012 Acta Phys. Sin. 61 120501 (in Chinese) [沙金, 包伯成, 许建平, 高玉 2012 物理学报 61 120501]
[2] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[3] Xie F, Yang R, Zhang B 2011 IEEE Trans. Circuits Syst. I, Reg. Papers 58 2269
[4] Bao B C, Zhou G H, Xu J P, Liu Z 2011 IEEE Trans. Power Electron 26 1968
[5] Zhang F Y, Yang R, Long X L, Xie C Y, Chen H 2013 Acta Phys. Sin. 62 218404 (in Chinese) [张方樱, 杨汝, 龙晓莉, 谢陈跃, 陈虹 2013 物理学报 62 218404]
[6] Wang F Q, Ma X K 2013 Chin. Phys. B 22 120504
[7] Liu F 2010 Chin. Phys. B 19 080511
[8] Deivasundari P S, Uma G, Poovizhi R 2013 IET Power Electron. 6 763
[9] Telefus M, Shteynberg A, Ferdowsi M, Emadi A 2004 IEEE Trans. Power Electron. 19 3
[10] Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Aerosp. Electron. Syst. 41 181
[11] Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Power Electron. 20 798
[12] Khaligh A, Rahimi A M, Emadi A 2007 IEEE Trans. Veh. Technol. 56 2005
[13] Sha J, Xu J P, Bao B C, Yan T S 2014 IEEE Trans. Ind. Electron. 61 1562
[14] Qin M, Xu J P 2013 IEEE Trans. Ind. Electron. 60 1819
[15] Wu S R, Zhou G H, Wang J P, Xu J P, He S Z 2014 Acta Phys. Sin. 63 028401 (in Chinese) [吴松荣, 周国华, 王金平, 许建平, 何圣仲 2014 物理学报 63 028401]
[16] Willers M J, Egan M G, Daly S, Murphy J M D 1999 IEEE Trans. Ind. Electron. 46 724
[17] Kapat S, Banerjee S, Patra A 2010 IEEE Trans. Circuits Syst. I, Reg. Papers 57 1793
[18] Jain P, Banerjee S 2003 Int. J. Bifurc. Chaos 11 3341
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[1] Sha J, Bao B C, Xu J P, Gao Y 2012 Acta Phys. Sin. 61 120501 (in Chinese) [沙金, 包伯成, 许建平, 高玉 2012 物理学报 61 120501]
[2] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[3] Xie F, Yang R, Zhang B 2011 IEEE Trans. Circuits Syst. I, Reg. Papers 58 2269
[4] Bao B C, Zhou G H, Xu J P, Liu Z 2011 IEEE Trans. Power Electron 26 1968
[5] Zhang F Y, Yang R, Long X L, Xie C Y, Chen H 2013 Acta Phys. Sin. 62 218404 (in Chinese) [张方樱, 杨汝, 龙晓莉, 谢陈跃, 陈虹 2013 物理学报 62 218404]
[6] Wang F Q, Ma X K 2013 Chin. Phys. B 22 120504
[7] Liu F 2010 Chin. Phys. B 19 080511
[8] Deivasundari P S, Uma G, Poovizhi R 2013 IET Power Electron. 6 763
[9] Telefus M, Shteynberg A, Ferdowsi M, Emadi A 2004 IEEE Trans. Power Electron. 19 3
[10] Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Aerosp. Electron. Syst. 41 181
[11] Ferdowsi M, Emadi A, Telefus M, Shteynberq A 2005 IEEE Trans. Power Electron. 20 798
[12] Khaligh A, Rahimi A M, Emadi A 2007 IEEE Trans. Veh. Technol. 56 2005
[13] Sha J, Xu J P, Bao B C, Yan T S 2014 IEEE Trans. Ind. Electron. 61 1562
[14] Qin M, Xu J P 2013 IEEE Trans. Ind. Electron. 60 1819
[15] Wu S R, Zhou G H, Wang J P, Xu J P, He S Z 2014 Acta Phys. Sin. 63 028401 (in Chinese) [吴松荣, 周国华, 王金平, 许建平, 何圣仲 2014 物理学报 63 028401]
[16] Willers M J, Egan M G, Daly S, Murphy J M D 1999 IEEE Trans. Ind. Electron. 46 724
[17] Kapat S, Banerjee S, Patra A 2010 IEEE Trans. Circuits Syst. I, Reg. Papers 57 1793
[18] Jain P, Banerjee S 2003 Int. J. Bifurc. Chaos 11 3341
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