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The one-cycle controlled Boost converter is analyzed by using its averaged model. The results show that the one-cycle controlled Boost converter loses stability via a supercritical Hopf bifurcation, which may jeopardize the performance of the converter. A washout filter is proposed in this paper to suppress the Hopf bifurcation. This method can be easily implemented due to the structure of the one-cycle controlled Boost converter. The averaged model of the washout filter-aided one cycle controlled Boost converter is derived. Two new parameters in the washout filter can be chosen by Routh-Hurwitz stability criterion. The washout filter-aided method is verified by simulation and experiment.
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Keywords:
- washout filter /
- one cycle control /
- Boost converter /
- Hopf bifurcation
[1] Banerjee S, Verghese G C 2001 Nonlinear Phenomena in Power Electronics (Hoboken: John Wiley Sons) 27
[2] Tse C K 2004 Complex behavior of switching power converters (Boca Raton: CRC Press LLC) 57
[3] [4] Maity S, Tripathy D, Bhattacharya T K, Banerjee S 2007 IEEE Trans. Circ. Syst. I 54 1120
[5] [6] [7] Fang C C 2001 IEEE Trans. Power Electron. 16 345
[8] [9] Tse C K, Lai Y M, Iu H H C 2000 IEEE Trans. Circ. Syst. I 47 448
[10] Zhou Y F, Qiu S S, Chen J N 2004 Proc. CSEE 24 96 (in Chinese) [周宇飞﹑丘水生﹑陈军宁 2004 中国电机工程学报 24 96]
[11] [12] Smedley K M, Cuk S 1995 IEEE Trans. Power Electron. 10 625
[13] [14] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842 (in Chinese) [王发强﹑张 浩﹑马西奎 2008 物理学报 57 2842]
[15] [16] [17] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 1522 (in Chinese) [王发强﹑张 浩﹑马西奎 2008 物理学报 57 1522]
[18] Fang C C, Abed E H 2002 Nonlinear Dyn. 27 295
[19] [20] Wang J M, Xu Z L 2005 Inf. Control 34 269 (in Chinese) [汪剑鸣﹑许镇琳 2005 信息与控制 34 269]
[21] [22] [23] Lu W G, Zhou L W, Luo Q M, Zhang X F 2008 Phys. Lett. A 372 3217
[24] [25] Chen G R, Moiola J L, Wang H O 2000 Int. J. Bifurc. Chaos 10 511
[26] [27] Ren H P, Li W C, Liu D 2010 Chin. Phys. B 19 511
[28] Xie Y, Chen L, Kang Y M, Aihara K 2008 Phys. Rev. E 77 061921
[29] [30] Ding L, Hou C 2010 Nonlinear Dyn. 60 131
[31] [32] [33] Wang J, Chen L, Fei X 2007 Chaos Soliton. Fract. 31 247
[34] Zhang H, Ma X K 2003 Acta Phys. Sin. 52 2415 (in Chinese) [张 浩﹑马西奎 2003 物理学报 52 2415]
[35] [36] [37] Zhao Y B, Luo X S 2007 Acta Phys. Sin. 56 6258 (in Chinese) [赵益波﹑罗晓曙 2007 物理学报 56 6258]
[38] [39] Li C L 2009 Acta Phys. Sin. 58 8134 (in Chinese) [李春来 2009 物理学报 58 8134]
[40] [41] Dorf R C, Bishop R H 2008 Modern Control Systems 11th ed.(Upper Saddle River: Pearson Education,Inc.) 361
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[1] Banerjee S, Verghese G C 2001 Nonlinear Phenomena in Power Electronics (Hoboken: John Wiley Sons) 27
[2] Tse C K 2004 Complex behavior of switching power converters (Boca Raton: CRC Press LLC) 57
[3] [4] Maity S, Tripathy D, Bhattacharya T K, Banerjee S 2007 IEEE Trans. Circ. Syst. I 54 1120
[5] [6] [7] Fang C C 2001 IEEE Trans. Power Electron. 16 345
[8] [9] Tse C K, Lai Y M, Iu H H C 2000 IEEE Trans. Circ. Syst. I 47 448
[10] Zhou Y F, Qiu S S, Chen J N 2004 Proc. CSEE 24 96 (in Chinese) [周宇飞﹑丘水生﹑陈军宁 2004 中国电机工程学报 24 96]
[11] [12] Smedley K M, Cuk S 1995 IEEE Trans. Power Electron. 10 625
[13] [14] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 2842 (in Chinese) [王发强﹑张 浩﹑马西奎 2008 物理学报 57 2842]
[15] [16] [17] Wang F Q, Zhang H, Ma X K 2008 Acta Phys. Sin. 57 1522 (in Chinese) [王发强﹑张 浩﹑马西奎 2008 物理学报 57 1522]
[18] Fang C C, Abed E H 2002 Nonlinear Dyn. 27 295
[19] [20] Wang J M, Xu Z L 2005 Inf. Control 34 269 (in Chinese) [汪剑鸣﹑许镇琳 2005 信息与控制 34 269]
[21] [22] [23] Lu W G, Zhou L W, Luo Q M, Zhang X F 2008 Phys. Lett. A 372 3217
[24] [25] Chen G R, Moiola J L, Wang H O 2000 Int. J. Bifurc. Chaos 10 511
[26] [27] Ren H P, Li W C, Liu D 2010 Chin. Phys. B 19 511
[28] Xie Y, Chen L, Kang Y M, Aihara K 2008 Phys. Rev. E 77 061921
[29] [30] Ding L, Hou C 2010 Nonlinear Dyn. 60 131
[31] [32] [33] Wang J, Chen L, Fei X 2007 Chaos Soliton. Fract. 31 247
[34] Zhang H, Ma X K 2003 Acta Phys. Sin. 52 2415 (in Chinese) [张 浩﹑马西奎 2003 物理学报 52 2415]
[35] [36] [37] Zhao Y B, Luo X S 2007 Acta Phys. Sin. 56 6258 (in Chinese) [赵益波﹑罗晓曙 2007 物理学报 56 6258]
[38] [39] Li C L 2009 Acta Phys. Sin. 58 8134 (in Chinese) [李春来 2009 物理学报 58 8134]
[40] [41] Dorf R C, Bishop R H 2008 Modern Control Systems 11th ed.(Upper Saddle River: Pearson Education,Inc.) 361
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