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A partial oscillation phenomenon in a digital-controlled three-phase inverter system, which is controlled by proportional controller in synchronous rotating reference frame, is analyzed in this paper. First, the discrete-time model of the system is derived. Then, a dynamics analysis scheme for this type of system is proposed. In addition, the underlying mechanism of the partial oscillation phenomenon occurring in this system is analyzed. The factors, which will cause the partial oscillation, are exactly predicted by analytical expressions. Finally, the theoretical results are verified by both simulations and experiments. These conclusions can provide an insight into the dynamics of the system.
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Keywords:
- three-phase inverter /
- digital-controlled /
- dynamic behavior /
- partial oscillation
[1] Barbosa P G, Braga H A C, Rodrigues M C B, Teixeira E C 2006 IEEE Trans. Power Electron. 21 1116
[2] Twining E, Holmes D G 2003 IEEE Trans. Power Electron. 18 888
[3] Hyosung K, Seung K S 2005 IEEE Trans. Power Electron. 20 1169
[4] Escobar G, Valdez A A 2003 IEEE Trans. Ind. Electron. 54 504
[5] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[6] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I 50 1125
[7] Robert B, Iu H H C, Feki M 2004 Int. J. Circ. Syst. Comp. I 50 1125
[8] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[9] 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]
[10] Aroudi A E, Rodriguez E, Orabi M, Alarcon E 2010 Int. J. Circ. Theor. Appl. 10 627
[11] Hiroyuki A, Takuji K 2010 Int. J. Circ. Theor. Appl. 21 985
[12] 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]
[13] Lei B, Xiao G C, Wu X L 2012 Acta Phys. Sin. 61 090501 (in Chinese) [雷博, 肖国春, 吴旋律 2012 物理学报 61 090501]
[14] Tse C 2003 Complex Behavior in Switching Power Converters (Boca Raton, CRC) p59
[15] Moler C, Loans C V 1978 Siam. Rev. 20 801
[16] Wang F Q, Zhang H, Ma X K 2010 IEEE Trans. Circ. Syst. I 57 405
[17] 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]
[18] 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]
[19] 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]
[20] Viecelli J A 1971 J. Comput. Phys. 8 119
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[1] Barbosa P G, Braga H A C, Rodrigues M C B, Teixeira E C 2006 IEEE Trans. Power Electron. 21 1116
[2] Twining E, Holmes D G 2003 IEEE Trans. Power Electron. 18 888
[3] Hyosung K, Seung K S 2005 IEEE Trans. Power Electron. 20 1169
[4] Escobar G, Valdez A A 2003 IEEE Trans. Ind. Electron. 54 504
[5] Robert B, Robert C 2002 Int. J. Contr. 75 1356
[6] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I 50 1125
[7] Robert B, Iu H H C, Feki M 2004 Int. J. Circ. Syst. Comp. I 50 1125
[8] Li M, Dai D, Ma X K 2008 Circuits Syst. Signal Processing 27 811
[9] 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]
[10] Aroudi A E, Rodriguez E, Orabi M, Alarcon E 2010 Int. J. Circ. Theor. Appl. 10 627
[11] Hiroyuki A, Takuji K 2010 Int. J. Circ. Theor. Appl. 21 985
[12] 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]
[13] Lei B, Xiao G C, Wu X L 2012 Acta Phys. Sin. 61 090501 (in Chinese) [雷博, 肖国春, 吴旋律 2012 物理学报 61 090501]
[14] Tse C 2003 Complex Behavior in Switching Power Converters (Boca Raton, CRC) p59
[15] Moler C, Loans C V 1978 Siam. Rev. 20 801
[16] Wang F Q, Zhang H, Ma X K 2010 IEEE Trans. Circ. Syst. I 57 405
[17] 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]
[18] 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]
[19] 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]
[20] Viecelli J A 1971 J. Comput. Phys. 8 119
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