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Peak current controlled buck converter with current source load shows the complex phenomenon of fast-scale and slow-scale subharmonic oscillations. Its piecewise smooth switching model and discrete iterative map model are established in this paper. According to its discrete iterative map model, the effects of circuit parameters on the nonlinear dynamic behaviors of buck converter are analyzed by numerical simulation. It is found that attractive regions of fast-scale and slow-scale subharmonic oscillations and dual tori phenomena exist in the bifurcation diagram and Poincaré mapping, respectively. Time-domain simulation waveforms and phase portraits of buck converter are obtained by Runge-Kutta algorithm using the piecewise smooth switching model. The research results indicate that n-type subharmonic oscillation constituted by subharmonic oscillation and frequency-reduced subharmonic oscillation exists in the inductor current, and sine-type subharmonic oscillation constituted by fast scale and low scale exists in the output voltage, respectively. Analysis and simulation results are verified by experimental results.
[1] Cafagnad D, Grassi G 2006 Nonlinear Dynamics 44 251
[2] Maity S, Tripathy D, Bhattacharya T K, Banerjee S 2007 IEEE Trans. Circuit Syst. I 54 1120
[3] 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]
[4] Zhang X T, Ma X K, Zhang H 2008 Acta Phys. Sin. 57 6174 (in Chinese) [张笑天、马西奎、张 浩 2008 物理学报 57 6174]
[5] Wang F Q, Zhang H and 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]
[6] Wang X M, Zhang B, Qiu D Y 2008 Acta Phys. Sin. 57 2728 (in Chinese) [王雪梅、张 波、丘东元 2008 物理学报 57 2728]
[7] Yang R, Zhang B, Zhu L L 2008 Acta Phys. Sin. 57 2770 (in Chinese) [杨 汝、张 波、褚利丽 2008 物理学报 57 2770]
[8] Chan W C Y, Tse C K 1997 IEEE Trans. Circuits Syst. I 44 1129
[9] Banerjee S, Parui S, Gupta A 2004 IEEE Trans. Circuits Syst. II 51 649
[10] Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成、许建平、刘 中 2009 物理学报 58 2949]
[11] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[12] Zhou Y F, Chen J N, Iu H H C, Tse C K 2008 Int. J. Bifurc. Chaos 18 121
[13] Wong S C, Tse C K, Tam K C 2004 Int. J. Bifurc. Chaos 14 2971
[14] Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[15] Zhou G H, Xu J P, Bao B C 2010 Acta Phys. Sin. 59 2272 (in Chinese) [周国华、许建平、包伯成 2010 物理学报 59 2272]
[16] Wu X, Tse C K, Dranga O, Lu J 2006 IEEE Trans. Circuits Syst. I 53 204
[17] Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theor. Appl. 34 251
[18] Wong S C, Tse C K, Orabi M, Ninomiya T 2006 IEEE Trans. Circuits Syst. I 53 454
[19] Mazumder S K, Nayfeh A H, Boroyevich D 2001 IEEE Trans. Power Electron. 16 201
[20] Iu H H C, Tse C K, Pjevalica V, Lai Y M 2001 Int. J. Circ. Theor. Appl. 29 281
[21] Huang Y H, Iu H H C, Tse C K, 2008 Int. J. Circ. Theor. Appl. 36 681
[22] Chen Y F, Tse C K, Qiu S S , Lindenmüller L, Schwarz W 2008 IEEE Trans. Circuits Syst. I 55 3335
[23] Wu C H, Chen C L 2009 IEEE Trans. Circuits Syst. II 56 763
[24] Hsieh C Y, Chen K H 2009 IEEE J. Solid-State Circuits 44 2568
[25] Bao B C, Xu J P, Hu W 2008 Electric Drive for Locomotives 4 20
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[1] Cafagnad D, Grassi G 2006 Nonlinear Dynamics 44 251
[2] Maity S, Tripathy D, Bhattacharya T K, Banerjee S 2007 IEEE Trans. Circuit Syst. I 54 1120
[3] 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]
[4] Zhang X T, Ma X K, Zhang H 2008 Acta Phys. Sin. 57 6174 (in Chinese) [张笑天、马西奎、张 浩 2008 物理学报 57 6174]
[5] Wang F Q, Zhang H and 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]
[6] Wang X M, Zhang B, Qiu D Y 2008 Acta Phys. Sin. 57 2728 (in Chinese) [王雪梅、张 波、丘东元 2008 物理学报 57 2728]
[7] Yang R, Zhang B, Zhu L L 2008 Acta Phys. Sin. 57 2770 (in Chinese) [杨 汝、张 波、褚利丽 2008 物理学报 57 2770]
[8] Chan W C Y, Tse C K 1997 IEEE Trans. Circuits Syst. I 44 1129
[9] Banerjee S, Parui S, Gupta A 2004 IEEE Trans. Circuits Syst. II 51 649
[10] Bao B C, Xu J P, Liu Z 2009 Acta Phys. Sin. 58 2949 (in Chinese) [包伯成、许建平、刘 中 2009 物理学报 58 2949]
[11] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[12] Zhou Y F, Chen J N, Iu H H C, Tse C K 2008 Int. J. Bifurc. Chaos 18 121
[13] Wong S C, Tse C K, Tam K C 2004 Int. J. Bifurc. Chaos 14 2971
[14] Zhao Y B, Zhang D Y, Zhang C J 2007 Chin. Phys. 16 933
[15] Zhou G H, Xu J P, Bao B C 2010 Acta Phys. Sin. 59 2272 (in Chinese) [周国华、许建平、包伯成 2010 物理学报 59 2272]
[16] Wu X, Tse C K, Dranga O, Lu J 2006 IEEE Trans. Circuits Syst. I 53 204
[17] Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theor. Appl. 34 251
[18] Wong S C, Tse C K, Orabi M, Ninomiya T 2006 IEEE Trans. Circuits Syst. I 53 454
[19] Mazumder S K, Nayfeh A H, Boroyevich D 2001 IEEE Trans. Power Electron. 16 201
[20] Iu H H C, Tse C K, Pjevalica V, Lai Y M 2001 Int. J. Circ. Theor. Appl. 29 281
[21] Huang Y H, Iu H H C, Tse C K, 2008 Int. J. Circ. Theor. Appl. 36 681
[22] Chen Y F, Tse C K, Qiu S S , Lindenmüller L, Schwarz W 2008 IEEE Trans. Circuits Syst. I 55 3335
[23] Wu C H, Chen C L 2009 IEEE Trans. Circuits Syst. II 56 763
[24] Hsieh C Y, Chen K H 2009 IEEE J. Solid-State Circuits 44 2568
[25] Bao B C, Xu J P, Hu W 2008 Electric Drive for Locomotives 4 20
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