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考虑到数字控制单相全桥逆变电路PWM调制方法和滤波器、负载结构的多样性, 以及利用状态转移矩阵对系统运动行为分析方法的局限性. 通过解析表达状态转移矩阵中的元素, 本文提出了一种可以解析描述具有N个状态变量、一个开关周期内M次拓扑 变化的数字控制单相全桥逆变电路(简称N-M数字控制单相全桥逆变电路)系统参数 与运动行为关系的分析方法. 以3-3数字控制单相全桥电压逆变电路为例对上述分析方法进行了验证, 推导出了该三阶电路发生Hopf分岔的解析判别式、稳定范围及Hopf分岔振荡频率的解析表达式, 并通过Simulink仿真及电路实验证明了理论分析的正确性.Considering the multiformity in the PWM modulation principle, the diversity in the structures of filter and load, and the limitation of the method based on state transition matrix in the analysis of digital controlled single-phase full-bridge inverter, we present a new method based on analytic expression of the elements in the state transition matrix. This method can analytically express the relationship between the parameters and the dynamic motion of a system named N-M digitally controlled single-phase full-bridge inverter, which has N state variables and structure changing M times within one switching cycle. As an example, the discriminant of Hopf bifurcation, the analytic expressions of the stability boundary and the oscillation frequency of a 3-3 digitally controlled single-phase full-bridge inverter are derived. Finally, the theoretical results are verified by simulations and circuit experiments.
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Keywords:
- single-phase full-bridge inverter /
- digital control /
- discrete-time iterative map /
- dynamic behavior
[1] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[2] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I50 1125
[3] Robert B, Iu H H C, Feki M 2004 Int. J. Circ. Sys. Comp. I50 1125
[4] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[5] 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]
[6] Aroudi A E, Rodriguez E, Orabi M, Alarcon E 2010 Int. J. Circ. Theor. Appl. 10 627
[7] Hiroyuki A, Takuji K 2010 Int. J. Circ. Theor. Appl. Int. J. Birf. Chaos 21 985
[8] Tse C, Bernardo M D 2002 IEEE Trans. Power Electron 90 768
[9] Moler C, Loans C V 1978 SIAM REVIEW 20 801
[10] Zhang K, Kang Y, Xiong J, Chen J 2003 IEEE Trans. Power. Electron 18 784
[11] Tse C 2003 Complex Behavior in Switching Power Converters (Boca Raton,CRC) P59
[12] Mazumder S K, Nayfeh A, Boroyevich D 2001 IEEE Trans. Power Electron 16 201
[13] Zhao Y B, Luo X S, Fang J H, 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]
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[1] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[2] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I50 1125
[3] Robert B, Iu H H C, Feki M 2004 Int. J. Circ. Sys. Comp. I50 1125
[4] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[5] 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]
[6] Aroudi A E, Rodriguez E, Orabi M, Alarcon E 2010 Int. J. Circ. Theor. Appl. 10 627
[7] Hiroyuki A, Takuji K 2010 Int. J. Circ. Theor. Appl. Int. J. Birf. Chaos 21 985
[8] Tse C, Bernardo M D 2002 IEEE Trans. Power Electron 90 768
[9] Moler C, Loans C V 1978 SIAM REVIEW 20 801
[10] Zhang K, Kang Y, Xiong J, Chen J 2003 IEEE Trans. Power. Electron 18 784
[11] Tse C 2003 Complex Behavior in Switching Power Converters (Boca Raton,CRC) P59
[12] Mazumder S K, Nayfeh A, Boroyevich D 2001 IEEE Trans. Power Electron 16 201
[13] Zhao Y B, Luo X S, Fang J H, 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]
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