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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
[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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[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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