-
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.
-
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]
-
[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]
Catalog
Metrics
- Abstract views: 7010
- PDF Downloads: 1111
- Cited By: 0
下载:
