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电流源负载峰值电流控制buck变换器具有次谐波振荡快慢复杂现象.本文建立了它的分段光滑开关模型及离散迭代映射模型.根据离散迭代映射模型,通过数值仿真研究了电路参数对buck变换器的非线性动力学行为的影响,发现了具有快慢效应次谐波振荡吸引域的分岔图和呈现双环带状的庞加莱映射.根据分段光滑开关模型,采用龙格-库塔算法,仿真研究了buck变换器的时域波形和相轨图,研究结果表明:电感电流存在由次谐波振荡与降频次谐波振荡组成的n型次谐波振荡现象;输出电压存在快标与慢标结合的正弦次谐波振荡现象.实验结果验证了文中的分
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关键词:
- 开关DC-DC变换器 /
- 迭代映射 /
- 电流源负载 /
- 次谐波振荡
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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