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双降压式全桥逆变器具有无桥臂直通、输入直流电压利用率高、效率高、续流二极管可优化选取等优点，因而在高压输出场合得到广泛的应用. 本文研究了双降压式全桥逆变器的分岔和混沌现象，建立了电流闭环比例控制下的二阶离散模型，得到了不同时间段内的频闪映射模型；通过折叠图和分岔图分析了不同比例系数k对于系统稳定性的影响，并搭建了Matlab/Simulink仿真模型，得到了电流闭环比例控制时电流iL 的时域波形和相图轨迹，并在频域下分析了分岔和混沌对系统频谱的影响. 同时，利用分岔图的方法分析了输入电压E、滤波电感L和开关周期T等外部参数变化时系统的非线性行为. 研究结果表明，正确选择双降压式全桥逆变器的电路参数对于其稳定运行具有重要意义.Dual buck full-bridge inverter has the following advantages: it has no shoot-through problem, but receives high-utilization of DC input voltage, high efficiency and optimum selection of the freewheeling diodes, hence it attracts more and more attention in high power applications. In this paper, the bifurcation and chaos in the dual buck full-bridge inverter is studied. The two-dimensional discrete iterated mapping model under proportional control is established and stroboscopic maps in different periods of time are obtained. Effects of the proportional coefficient k on system performance are analyzed by using bifurcation diagram and folded diagram. A simulation model of dual buck full-bridge inverter is established based on Matlab/Simulink and the time domain waveforms and phase-space portraits for different proportional coefficient k are obtained. Besides, the effects of the bifurcation and chaos on the spectrum of the system are analyzed. Finally, the nonlinear behavior in the inverter caused by the variation of other circuit parameters such as input voltage E, inductance L, and the switching period of carrier wave T is discussed through bifurcation diagrams. Results show that the correct choice of circuit parameters of dual buck full-bridge inverter is very important for its stable operation.
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Keywords:
- dual buck full-bridge inverter /
- stroboscopic mapping /
- bifurcation /
- chaos
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[1] Zhang B 2005 Transactions of China Electrotechnical Society 20 1 (in Chinese) [张波 2005 电工技术学报 20 1]
[2] Lu W G, Zhou L W, Luo Q M, Zhang X F 2009 Transactions of China Electrotechnical Society 24 133 (in Chinese) [卢伟国, 周雒维, 罗全明, 张晓峰 2009 电工技术学报 24 133]
[3] Dai D, Tse C K, Ma X K 2005 IEEE Trans. Cir. Syst. I 52 1632
[4] Zhang B, Li P, Qi Q 2002 Proceedings of the CSEE 22 81 (in Chinese) [张波, 李萍, 齐群2002 中国电机工程学报 22 81]
[5] Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 050509
[6] Bao B C, Xu J P and Liu Z 2009 Chin. Phys. B 18 4742
[7] Wang F Q, Zhang H, Ma X K 2012 Chin. Phys. B 21 020505
[8] Zhao Y B, Luo X S, Fang J Q, Wang B H 2005 Acta Phys. Sin. 54 5022 (in Chinese) [赵益波, 罗晓曙, 方锦清, 汪秉宏 2005 54 5022]
[9] Ma X K, Zhang H, Zhang X T 2008 Acta Phys. Sin. 57 6174 (in Chinese) [马西奎, 张浩, 张笑天 2008 57 6174]
[10] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[11] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurcation and Chaos 16 113
[12] Iu H H C, Robert B 2003 IEEE Trans. Cir. Syst. I 50 1125
[13] T.Kousaka, K.Sakamoto, Y.Ma 2006 National conference on nonlinear systems & dynamics 15 p1
[14] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[15] Wang X M, Zhang B, Qiu D Y 2009 Acta Phys. Sin. 58 2248 (in Chinese) [王学梅, 张波, 丘东元 2009 58 2248]
[16] Wang X M, Zhang B 2009 Transactions of China Electrotechnical Society 24 101 (in Chinese) [王学梅, 张波 2009 电工技术学报 24 101]
[17] Lei B, Xiao G C, Wu X L, Qi Y R 2011 Acta Phys. Sin. 60 090501 (in Chinese) [雷博, 肖国春, 吴旋律, 齐元瑞 2011 60 090501]
[18] Wu J K, Zhou L W, Lu W G 2012 Acta Phys. Sin. 61 210202 (in Chinese) [吴军科, 周雒维, 卢伟国 2012 61 210202]
[19] Zhang B, Qu Y 2003 Proceedings of the CSEE 23 99 (in Chinese) [张波, 曲颖 2003 中国电机工程学报 23 99]
[20] Zhang Y, Hong F, Chen X 2007 Power Supply Technologies and Applications 10 55 (in Chinese) [张喻, 洪峰, 陈新 2007 电源技术应用 10 55]
[21] Zhang X J, Gong C Y 2009 Electric Drive 39 48 (in Chinese) [张先进, 龚春英 2009 电气传动 39 48]
[22] Wang Z, Xiao L, Yao Z L, Yan Y G 2007 Transactions of China Electrotechnical Society 22 104 (in Chinese) [王赞, 肖岚, 姚志垒, 严仰光 2007 电工技术学报 22 104]
[23] Wu T, Xiao L, Yao Z L 2009 Proceedings of the CSEE 29 22 (in Chinese) [吴婷, 肖岚, 姚志垒 2009 中国电机工程学报 29 22]
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