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There exist fast scale and slow scale nonlinear dynamic behaviors in the voltage source inverter. Period doubling bifurcation and low-frequency oscillation instability phenomena are investigated. A unified bifurcation control strategy based on frequency-domain transfer function is proposed to suppress the fast-scale and slow-scale instabilities under the guarantee of the inverter's good dynamic and static performance. The stability boundary of the inverter is greatly expanded with the help of the controller. Harmonic balance method and small-signal averaged model are used to verify the effectiveness of the proposed control method when it is used to suppress the period-doubling bifurcation and the low-frequency oscillation, the stability domain border is also derived with the help of the analysis method. Theoretical analysis and simulation results show that the proposed control strategy is correct and feasible.
[1] Hamill D C, Jeffries D J 1988 IEEE Trans. Circ. Syst. I 35 1059
[2] 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]
[3] Tse C K, Lai Y M, Iu H H C 2000 IEEE Trans. Circ. Syst. I 47 448
[4] Lu W G, Zhou L W, Luo Q M, Zhang X F 2008 Phys. Lett. A 372 3217
[5] Lu W G, Zhou L W, Luo Q M, Wu J K 2011 Int. J. Circ. Theor. Appl. 39 159
[6] Ma W, Wang M Y, Nie H L 2011 Acta Phys. Sin. 60 100202 (in Chinese) [马伟, 王明渝, 聂海龙 2011 物理学报 60 100202]
[7] Fang C C, Abed E H 2001 IEEE International Symposium on Circuits and Systems Sydney, Australia, May 6-9, 2001 p209
[8] Iu H H C, Zhou Y F, Tse C K 2003 Int. J. Circ. Theor. Appl. 31 611
[9] Ma X K, Liu W Z, Zhang H 2005 Proc. CSEE 25 61 (in Chinese) [马西奎, 刘伟增, 张浩 2005 中国电机工程学报 25 61]
[10] Wang F Q, Zhang H, Ma X K, Li X M 2009 Acta Phys. Sin. 58 6838 (in Chinese) [王发强, 张浩, 马西奎, 李秀明 2009 物理学报 58 6838]
[11] Wang F Q, Zhang H, Ma X K 2010 IEEE Trans. Circ. Syst. I 57 405
[12] Zou J L, Ma X K, Yang Y 2010 Proc. CSEE 30 1 (in Chinese) [邹建龙, 马西奎, 杨宇 2010 中国电机工程学报 30 1]
[13] Li M, Dai D, Ma X K 2008 Circ. Syst. Sign. Proc. 27 811
[14] Robert B, Robert C 2002 Int. J. Control 75 1356
[15] Kousaka T, Sakamoto K, Ma Y 2006 Proceedings of the 3rd National Conference on Nonlinear Systems and Dynamics Chennai, India, February 6-8, 2006 p1
[16] Wang X M, Zhang B 2009 Transactions of China Electrotechnical Society 24 101 (in Chinese) [王学梅, 张波 2009 电工技术学报 24 101]
[17] 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]
[18] 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]
[19] Aroudi E, Rodriguez E, Orabi M, Alarcon E 2010 Int. J. Circ. Theor. Appl. 39 175
[20] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I 50 1125
[21] Feki M, Robert B, Iu H H C 2004 35th IEEE Power Electronic Specialists Conference Aachen, Germany, June 20-25, 2004 p3317
[22] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurc. Chaos 16 113
[23] Hu N H, Zhou Y F, Chen J N 2012 Acta Phys. Sin. 61 130504 (in Chinese) [胡乃红, 周宇飞, 陈军宁 2012 物理学报 61 130504]
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[1] Hamill D C, Jeffries D J 1988 IEEE Trans. Circ. Syst. I 35 1059
[2] 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]
[3] Tse C K, Lai Y M, Iu H H C 2000 IEEE Trans. Circ. Syst. I 47 448
[4] Lu W G, Zhou L W, Luo Q M, Zhang X F 2008 Phys. Lett. A 372 3217
[5] Lu W G, Zhou L W, Luo Q M, Wu J K 2011 Int. J. Circ. Theor. Appl. 39 159
[6] Ma W, Wang M Y, Nie H L 2011 Acta Phys. Sin. 60 100202 (in Chinese) [马伟, 王明渝, 聂海龙 2011 物理学报 60 100202]
[7] Fang C C, Abed E H 2001 IEEE International Symposium on Circuits and Systems Sydney, Australia, May 6-9, 2001 p209
[8] Iu H H C, Zhou Y F, Tse C K 2003 Int. J. Circ. Theor. Appl. 31 611
[9] Ma X K, Liu W Z, Zhang H 2005 Proc. CSEE 25 61 (in Chinese) [马西奎, 刘伟增, 张浩 2005 中国电机工程学报 25 61]
[10] Wang F Q, Zhang H, Ma X K, Li X M 2009 Acta Phys. Sin. 58 6838 (in Chinese) [王发强, 张浩, 马西奎, 李秀明 2009 物理学报 58 6838]
[11] Wang F Q, Zhang H, Ma X K 2010 IEEE Trans. Circ. Syst. I 57 405
[12] Zou J L, Ma X K, Yang Y 2010 Proc. CSEE 30 1 (in Chinese) [邹建龙, 马西奎, 杨宇 2010 中国电机工程学报 30 1]
[13] Li M, Dai D, Ma X K 2008 Circ. Syst. Sign. Proc. 27 811
[14] Robert B, Robert C 2002 Int. J. Control 75 1356
[15] Kousaka T, Sakamoto K, Ma Y 2006 Proceedings of the 3rd National Conference on Nonlinear Systems and Dynamics Chennai, India, February 6-8, 2006 p1
[16] Wang X M, Zhang B 2009 Transactions of China Electrotechnical Society 24 101 (in Chinese) [王学梅, 张波 2009 电工技术学报 24 101]
[17] 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]
[18] 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]
[19] Aroudi E, Rodriguez E, Orabi M, Alarcon E 2010 Int. J. Circ. Theor. Appl. 39 175
[20] Iu H H C, Robert B 2003 IEEE Trans. Circ. Syst. I 50 1125
[21] Feki M, Robert B, Iu H H C 2004 35th IEEE Power Electronic Specialists Conference Aachen, Germany, June 20-25, 2004 p3317
[22] Robert B, Feki M, Iu H H C 2006 Int. J. Bifurc. Chaos 16 113
[23] Hu N H, Zhou Y F, Chen J N 2012 Acta Phys. Sin. 61 130504 (in Chinese) [胡乃红, 周宇飞, 陈军宁 2012 物理学报 61 130504]
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