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本文研究了单相H桥逆变器在单极性正弦脉宽调制下的分岔和混沌行为, 建立了系统在比例控制下的一阶离散映射模型, 采用分岔图、折叠图和Lyapunov指数谱分析了比例系数k对系统性能的影响, 通过Matlab/Simulink仿真得到了不同比例系数下的时域波形图, 验证了理论分析的正确性. 最后运用分岔图研究了输入电压E、负载电阻R和电感L等外部参数变化时 变换器中存在的非线性行为. 本文将单相H桥逆变器的混沌研究从双极性正弦脉宽调制转向单极性正弦脉宽调制, 使之更具实用性, 研究结果对于正确设计和调试单相H桥逆变器具有重要的指导意义和应用价值.The unipolar SPWM has been widely used in H-bridge inverter because of its superiority for lower switching loss and less electromagnetic interference as compared with bipolar SPWM. However, the nonlinear phenomena in it have not been reported. In this paper, the bifurcation and chaos in the H-bridge inverter modulated by unipolar SPWM is studied. The one-dimensional discrete iterated mapping model under proportional control is established. Effects of the proportional coefficient k on the system performance are analyzed by using bifurcation diagram, folded diagram, and Lyapunov index spectrum. The time-domain waveforms with different proportional coefficients are obtained by Matlab/Simulink, which verify the correctness of theoretical analysis. Finally, the nonlinear behavior in the inverter caused by the variation of other circuit parameters like input voltage E, load resistance R, and inductance L is investigated through bifurcation diagrams. This paper turns the chaotic research of single-phase H-bridge inverter from bipolar SPWM to unipolar SPWM, So that the proposed approach is more practical. The results have important guiding significance and application value for designing and debugging the single-phase H-bridge inverter correctly.
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Keywords:
- single-phase H-bridge inverter /
- unipolar modulation /
- discrete iterated mapping /
- bifurcation and chaos
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[2] Ma Y, Tse C K, Kousaka T, Kawakami H 2005 IEEE Trans. Cir. Syst. II 52 581
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[7] Liu F 2010 Chin. Phys. B 19 080511
[8] 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]
[9] Bao B C, Yang P, Ma Z H, Zhang X 2012 Acta Phys. Sin. 61 220502 (in Chinese) [包伯成, 杨平, 马正华, 张希 2012 物理学报 61 220502]
[10] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[11] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[12] Iu H H C, Robert B 2003 IEEE Trans. Cir. Syst. I 50 1125
[13] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurcation and Chaos 16 113
[14] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[15] 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 物理学报 61 210202]
[16] 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 物理学报 60 090501]
[17] 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]
[18] 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 物理学报 58 2248]
[19] Hu N H, Zhou Y F, Chen J N 2012 Acta Phys. Sin. 61 130504 (in Chinese) [胡乃红, 周宇飞, 陈军宁 2012 物理学报 61 130504]
[20] Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theor. Appl. 34 251
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[1] Chen Y F, Tse C K, Qiu S S, Lindenmller L, Schwarz W 2008 IEEE Trans. Cir. Syst. I 55 3335
[2] Ma Y, Tse C K, Kousaka T, Kawakami H 2005 IEEE Trans. Cir. Syst. II 52 581
[3] Zhou G H, Xu J P, Bao B C, Jin Y Y 2010 Chin. Phys. B 19 060508
[4] Dai D, Tse C K, Ma X K 2005 IEEE Trans. Cir. Syst. I 52 1632
[5] Zhou G H, Bao B C, Xu J P, Jin Y Y 2010 Chin. Phys. B 19 050509
[6] Liu F 2008 Chin. Phys. B 17 2394
[7] Liu F 2010 Chin. Phys. B 19 080511
[8] 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]
[9] Bao B C, Yang P, Ma Z H, Zhang X 2012 Acta Phys. Sin. 61 220502 (in Chinese) [包伯成, 杨平, 马正华, 张希 2012 物理学报 61 220502]
[10] Bao B C, Xu J P, Liu Z 2009 Chin. Phys. B 18 4742
[11] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[12] Iu H H C, Robert B 2003 IEEE Trans. Cir. Syst. I 50 1125
[13] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurcation and Chaos 16 113
[14] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[15] 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 物理学报 61 210202]
[16] 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 物理学报 60 090501]
[17] 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]
[18] 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 物理学报 58 2248]
[19] Hu N H, Zhou Y F, Chen J N 2012 Acta Phys. Sin. 61 130504 (in Chinese) [胡乃红, 周宇飞, 陈军宁 2012 物理学报 61 130504]
[20] Zou J L, Ma X K, Tse C K, Dai D 2006 Int. J. Circ. Theor. Appl. 34 251
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