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针对数字控制单相全桥电压型逆变电路的非线性动力学特性分析,本文建立了一种改进离散迭代模型. 改进离散迭代模型结合了平均模型和传统离散迭代模型的优点, 能够精确分析数字控制延时以及采样保持过程对系统非线性动力学特性的影响, 可以在保证精确度的前提下显著降低离散迭代建模过程的复杂程度.本文以LC滤波器电容电压外环、电感电流内环反馈加给定电压前馈的数字控制系统为例,建立了数字控制单相全桥电压型逆变电路的改进离散迭代模型,采用新模型分析了系统的非线性动力学特性,并准确预测了系统的稳定范围以及失稳现象. 最后,利用SIMULINK仿真模型和物理实验验证了改进离散迭代模型的正确性和有效性.An improved discrete-time model for a digital controlled single-phase full-bridge voltage inverter is proposed in this paper. Based on state-space averaging in every switching cycle, the improved discrete-time model combines the advantages of the average model and the traditional discrete-time model, which can accurately analyze the digital control delay and sample-and-hold process inherently in digital controlled system. Consequently, under the accuracy premise, the improved discrete-time model can effectively simplify the traditional discrete-time modeling. As an example, an LC filter capacitor-voltage and inductor-current feed-back plus voltage-reference feed-forward control algorithm is analyzed based on the improved discrete-time model. The stability boundary and oscillation frequency are accurately predicted. Finally, theoretical results are verified by simulations and experiments.
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Keywords:
- H-bridge inverter /
- discrete-time iterative map /
- digital control /
- bifurcation
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[2] Liu Y F, Sen P C 2005 Proceedings of the 2005 IEEE Conference on Control Applications Toronto, Canada, August 28-31 p635
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[10] Tse CK, Di Bernardo M 2002 Proceedings of the IEEE. 90 768
[11] Abdelali El Aroudi, Enric Rodriguez, Mohamed Orabi, Eduard Alarcon 2011 Int. J. Circ. Theor. Appl. 39 175
[12] Lei B, Xiao G C, Wu X L, Qi Y R 2011 Acta Phys. Sin. 60 122 (in Chinese) [雷博, 肖国春, 吴旋律, 齐元瑞 2011 物理学报 60 122]
[13] Middlebrook R D, Cuk S 1976 IEEE PESC Rec. 18-34
[14] Moler C, Loans C V, SIAM REVIEW, Oct. 1978. vol. 20(4) 801
[15] 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]
[16] 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]
[17] Zhang Y, Zhang H, Ma X K 2010 Acta Phys. Sin. 59 8432 (in Chinese) [张源, 张浩, 马西奎 2010 物理学报 59 8432]
[18] Lei B, Xiao G C, Wu X L 2012 Acta Phys. Sin. 61 153 (in Chinese) [雷博, 肖国春, 吴旋律 2012 物理学报 61 153]
[19] Mazumder S K, Nayfeh A, Boroyevich D 2001 IEEE Trans. Power Electron 16 201
[20] 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 物理学报 54 5022]
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[1] Miao B, Zane R, Maksimovic D 2005 IEEE Trans. Power Electron. 20 1093
[2] Liu Y F, Sen P C 2005 Proceedings of the 2005 IEEE Conference on Control Applications Toronto, Canada, August 28-31 p635
[3] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[4] Iu H H C, Robert B, 2003 IEEE Trans. Circ. syst. I 50 1125
[5] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurcation and Chaos 16 113
[6] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[7] 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]
[8] Hyosung K, Seung-Ki S 2005 IEEE Trans. Power Electron. 20 1169
[9] Escobar G, Valdez A 2003 IEEE Trans. Ind. Electron. 54 504
[10] Tse CK, Di Bernardo M 2002 Proceedings of the IEEE. 90 768
[11] Abdelali El Aroudi, Enric Rodriguez, Mohamed Orabi, Eduard Alarcon 2011 Int. J. Circ. Theor. Appl. 39 175
[12] Lei B, Xiao G C, Wu X L, Qi Y R 2011 Acta Phys. Sin. 60 122 (in Chinese) [雷博, 肖国春, 吴旋律, 齐元瑞 2011 物理学报 60 122]
[13] Middlebrook R D, Cuk S 1976 IEEE PESC Rec. 18-34
[14] Moler C, Loans C V, SIAM REVIEW, Oct. 1978. vol. 20(4) 801
[15] 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]
[16] 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]
[17] Zhang Y, Zhang H, Ma X K 2010 Acta Phys. Sin. 59 8432 (in Chinese) [张源, 张浩, 马西奎 2010 物理学报 59 8432]
[18] Lei B, Xiao G C, Wu X L 2012 Acta Phys. Sin. 61 153 (in Chinese) [雷博, 肖国春, 吴旋律 2012 物理学报 61 153]
[19] Mazumder S K, Nayfeh A, Boroyevich D 2001 IEEE Trans. Power Electron 16 201
[20] 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 物理学报 54 5022]
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