| Three Routes to Chaos in Electrical Power Systems |
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| 作者姓名： | 余晓丹 董存 贾宏杰 |
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| 作者单位： | School of Electrical Engineering and Automation Tianjin University，School of Electrical Engineering and Automation Tianjin University，School of Electrical Engineering and Automation Tianjin University，Tianjin 300072 China Tianjin 300072 China，Jilin Electric Power Co.Ltd Changchun 130021 China Tianjin 300072 China |
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| 基金项目： | Supported by the Foundation for the Author of National Excellent Doctoral Dissertation(No.200439)，Key Project of Chinese Ministryof Education (No.105047)，Program for New Century Excellent Talents in University,Fok Ying Tung Education Foundation(No.104019)，Innovation Fund of Tianjin Municipal(No.06TXTJJC13700),Natural Science Foundation of China(No.50595413)，theSpecial Fund of the National Fundamental Research (2004CB217904)of China. |
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| 摘 要： | Study on power systemchaotic phenomena is oneimportant aspect in power system stability stu-dies1—3]. Early studies, such as Lee4], Chiang5],Wang6]and Tan7], mainly focused on interpretingthe behavior of chaotic oscillations. Later researches,such as Wu8], Rajesh9], Jia10,11], Srivastava12]and Abed13]began to concern the following topics,such as interaction of chaotic motion and system dy-namics, the relationship of power system stability re-gion and chaos, and the methods to eli…
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| 关 键 词： | 电力系统稳定性 混沌 动力学 非线性 |
| 收稿时间： | 2006-03-03 |
Three Routes to Chaos in Electrical Power Systems |
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| YU Xiaodan,DONG Cun,JIA Hongjie.Three Routes to Chaos in Electrical Power Systems[J].Transactions of Tianjin University,2006,12(5):335-340. |
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| Authors: | YU Xiaodan DONG Cun JIA Hongjie |
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| Abstract: | Routes to chaos in power systems are studied. Using a three-bus simple system, three routes that can lead power system to chaos are presented, illustrated and discussed. They are cascading period doubling bifurcation, torus bifurcation and route directly initiated by a large disturbance. Period doubling bifurcation is caused by a real Floquet multiplier going out of the unit circle from point (-1,0), while torus bifurcation is caused by a couple of conjugated Floquet multipliers going out of the unit circle with a non-zero imaginary part in the complex plane. Cascading period doubling bifurcation and torus bifurcation are two typical routes to chaos in dynamic systems, which have been investigated in the previous studies. The last route, i.e. directly initiated by a large disturbance, is reported and studied. This phenomenon reveals that chaos is caused by external disturbances in power systems. |
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| Keywords: | power system stability chaos dynamics nonlinearity |
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