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The limit induced bifurcation (LIB) in AC/DC power system caused by converter transformer tap and extinction angle limit under the control mode of constant current in rectifier and constant voltage in inverter is studied in this paper. The reason why the singularity induced bifurcation does not occur while the hard limit encounters is analyzed. The transformer ratio should be larger than a critical value while LIB occurs and the formulas for critical value of LIB in defferent types are derived in this paper. The sensitivities of critical value to parameters are calcaulated, from which some bifurcation points are eliminated and the stable region is augmented. And, the effects of field voltage limit on critical value and stable region are discussed. Finally, a mechanism of limit induced bifurcation is proposed. The increase of reactive power consumed in converter transformer and the decrease of the reactive power compensation in converter AC bus and the transform of control mode result in the system destabilization due to the lack of reactive power.
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Keywords:
- AC/DC power system /
- hard limit /
- limit induced bifurcation /
- control mode
[1] Li H Q, Liu Y M, Yorina N 2005 Proceedings of the CSEE 25 56 (in Chinese) [李华强, 刘亚梅,Yorino N 2005 中国电机工程学报 25 56]
[2] Liu S, Liu B, Zhang Y K, Wen Y 2010 Acta Phys. Sin. 59 38(in Chinese) [刘爽, 刘彬, 张业宽, 闻岩 2010 物理学报 59 38]
[3] Liu S H, Tang J S 2008 Acta Phys. Sin. 57 6162 (in Chinese) [刘素华, 唐驾时 2008 物理学报 57 6162]
[4] Wang Q H, Zhou S X 2003 Proceedings of the CSEE 23 18(in Chinese) [ 王庆红, 周双喜 2003 电机工程学报 23 18]
[5] Venkatasubramanian V, Schättler H, Zaborszky J 1995 Proc. IEEE 83 1530
[6] Lerrn A A P, Caiiizares C A, Nadarajah Mithulananthan 2001 IEEE-PES Summer Meeting Vahncouver, BC, Canada July 15— 19, 2001 p1805
[7] Xiong N, Cheng H Z, Ma Z L, Zhu Z L, Wang X H, Lu J Z 2008 Automation of Electric Power Systems 32 35(in Chinese)[熊宁, 程浩忠, 马则亮, 朱忠烈, 王晓辉, 陆建忠 2008 电力系统自动化 32 35]
[8] Ian Dobson, Liming Lu 1992 IEEE Transactions on Circuits and Systems 39 762
[9] Jiang X, Schattler H, Zaborszky J Venkatasubramanian V 1995 Proceedings of IEEE International Symposium on Circuits and Systems, Seattle, USA April 28—May 3 1995 p146
[10] Avalos R J, Ca?nizares A, Milano F, Conejo A J 2009 IEEE Transactions on Circuits and Systems 56 210
[11] Jiang X, Venkatasubramanian V, Schattler H, Zaborszky J 1995 Proceedings of IEEE Conference on Control Applications New York,USA September 28—29 1995 p63
[12] Lei Chen, Yong Min Power Tech 2007 Lausanne, Switzerland, July 1—5 2007 p250
[13] Nemat-Talebi, Mostafa Shaflee,Subramaniam Bala, Karamdel Javad 2006 First International Conference on Industrial and Information Systems, ICIIS 2006, Sri Lanka, August 8—11 2006 p36
[14] Xu Z 2006 Dynamic Behavior Analysis of AC/DC Power System (Beijing: China Machine Press) p43—48(in Chinese) [徐政 2005 交直流电力系统动态行为分析(北京:机械工业出版社) 第43—48页]
[15] Ni Y X, Chen S S, Zhang BL 2002 Theory and Analysis of Dynamic Power System (Beijing: Tsinghua University Press) p48— 71(in Chinese) [倪以信, 陈寿孙, 张宝霖 2002 动态电力系统的理论和分析(北京:清华大学出版社) 第48—71页]
[16] Wang X F 2003 Modern power system analusis(Beijing: Science Press) p432—438(in Chinese) [王锡凡 2003 现代电力系统分析(北京:科学出版社) 第432—438页]
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[1] Li H Q, Liu Y M, Yorina N 2005 Proceedings of the CSEE 25 56 (in Chinese) [李华强, 刘亚梅,Yorino N 2005 中国电机工程学报 25 56]
[2] Liu S, Liu B, Zhang Y K, Wen Y 2010 Acta Phys. Sin. 59 38(in Chinese) [刘爽, 刘彬, 张业宽, 闻岩 2010 物理学报 59 38]
[3] Liu S H, Tang J S 2008 Acta Phys. Sin. 57 6162 (in Chinese) [刘素华, 唐驾时 2008 物理学报 57 6162]
[4] Wang Q H, Zhou S X 2003 Proceedings of the CSEE 23 18(in Chinese) [ 王庆红, 周双喜 2003 电机工程学报 23 18]
[5] Venkatasubramanian V, Schättler H, Zaborszky J 1995 Proc. IEEE 83 1530
[6] Lerrn A A P, Caiiizares C A, Nadarajah Mithulananthan 2001 IEEE-PES Summer Meeting Vahncouver, BC, Canada July 15— 19, 2001 p1805
[7] Xiong N, Cheng H Z, Ma Z L, Zhu Z L, Wang X H, Lu J Z 2008 Automation of Electric Power Systems 32 35(in Chinese)[熊宁, 程浩忠, 马则亮, 朱忠烈, 王晓辉, 陆建忠 2008 电力系统自动化 32 35]
[8] Ian Dobson, Liming Lu 1992 IEEE Transactions on Circuits and Systems 39 762
[9] Jiang X, Schattler H, Zaborszky J Venkatasubramanian V 1995 Proceedings of IEEE International Symposium on Circuits and Systems, Seattle, USA April 28—May 3 1995 p146
[10] Avalos R J, Ca?nizares A, Milano F, Conejo A J 2009 IEEE Transactions on Circuits and Systems 56 210
[11] Jiang X, Venkatasubramanian V, Schattler H, Zaborszky J 1995 Proceedings of IEEE Conference on Control Applications New York,USA September 28—29 1995 p63
[12] Lei Chen, Yong Min Power Tech 2007 Lausanne, Switzerland, July 1—5 2007 p250
[13] Nemat-Talebi, Mostafa Shaflee,Subramaniam Bala, Karamdel Javad 2006 First International Conference on Industrial and Information Systems, ICIIS 2006, Sri Lanka, August 8—11 2006 p36
[14] Xu Z 2006 Dynamic Behavior Analysis of AC/DC Power System (Beijing: China Machine Press) p43—48(in Chinese) [徐政 2005 交直流电力系统动态行为分析(北京:机械工业出版社) 第43—48页]
[15] Ni Y X, Chen S S, Zhang BL 2002 Theory and Analysis of Dynamic Power System (Beijing: Tsinghua University Press) p48— 71(in Chinese) [倪以信, 陈寿孙, 张宝霖 2002 动态电力系统的理论和分析(北京:清华大学出版社) 第48—71页]
[16] Wang X F 2003 Modern power system analusis(Beijing: Science Press) p432—438(in Chinese) [王锡凡 2003 现代电力系统分析(北京:科学出版社) 第432—438页]
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