Zhang Weinian, Zhang Weidong. Chaotic Ocillation of a Nonlinear Power System[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1094-1100.
Citation: Zhang Weinian, Zhang Weidong. Chaotic Ocillation of a Nonlinear Power System[J]. Applied Mathematics and Mechanics, 1999, 20(10): 1094-1100.

Chaotic Ocillation of a Nonlinear Power System

  • Received Date: 1997-07-02
  • Rev Recd Date: 1999-02-10
  • Publish Date: 1999-10-15
  • For a nonlinear power transmission system, the residue calculus method is introduced and applied to study its heteroclinic bifurcation. There a cone region and a strip region of parameters are obtained in which the power transmission system displays chaotic ocillation. This gives a theoretic analysis and a computational method for the purpose to control the nonlinear system with deviation stably running.
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  • [1]
    卢强,孙元章.电力系统非线性控制[M].北京:科学出版社,1993.
    [2]
    Yu Y N.Electric Power System Dynamics[M].New York:Academic Press,1983.
    [3]
    张卫东,张伟年.一个非线性刚体转子振动模型[J].动力工程,1996,16(增刊):503~508.
    [4]
    Guckenheimer J,Holmes P.Nonlinear Oscillations,Dynamical Systems and Bifurcations of
    [5]
    Vector Fields[M].New York:Springer-Verlag,1983.
    [6]
    Zhang Weinian.Bifurcation of homoclinics in a nonlinear oscillation[J].Acta Math Sinica,New Series,1989,5(2):170~184.
    [7]
    肖达川.线性与非线性电路[M].北京:科学出版社,1992.
    [8]
    Lu Qiang(卢强),Sun Yuanzhang(孙元章).Nonlinear stabilizing control of multimachine systems[J].IEEE Transactions on Power Systems,1989,4(1):236~241.
    [9]
    卢强,孙元章,高景德.非线性系统几何结构的发展及其在电力系统中的应用[J].中国电机工程学报,1990,10(1),电工数学特刊,15~21.
    [10]
    袁斌,孙启宏.应用分支理论分析电力系统中的复杂振荡现象[J].电网技术,1994,18(4):1~4.
    [11]
    张强,刘九斌.电力系统振荡的混沌性态[J].南京电力高等专科学校学报,1995,7(1):14~18.
    [12]
    庄圻泰,张南岳.复变函数[M].北京:北京大学出版社,1984.
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