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Applied Mathematics and Mechanics

, Volume 20, Issue 10, pp 1175–1182 | Cite as

Chaotic oscillation of a nonlinear power system

  • Zhang Weinian
  • Zhang Weidong
Article

Abstract

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 oscillation. This gives a theoretic analysis and a computational method for the purpose to control the nonlinear system with deviation stably running.

Key words

power transmission system nonlinear heteroclinic bifurcation chaotic oscillation 

CLC number

O175.14 O322 

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References

  1. [1]
    Lu Qiang, Sun Yuanzhang.Nonlinear Control of Power Systems [M]. Beijing: Science Press, 1993. (in Chinese)Google Scholar
  2. [2]
    Yu Y N.Electric Power System Dynamics[M]. New York: Academic Press, 1983.Google Scholar
  3. [3]
    Zhang Weidong, Zhang Weinian. A nonlinear oscillation model of rigid rotors[J].Power Engineering, 1996,16(Supp):503–508. (in Chinese)Google Scholar
  4. [4]
    Guckenheimer J, Holmes P.Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields[M]. New York: Springer-Verlag, 1983.Google Scholar
  5. [5]
    Zhang Weinian. Bifurcation of homoclinics in a nonlinear oscillation[J].Acta Math Sinica, New Series, 1989,5(2):170–184.CrossRefGoogle Scholar
  6. [6]
    Xiao Dachuan.Linear and Nonlinear Circuits[M]. Beijing: Science Press, 1992. (in Chinese)Google Scholar
  7. [7]
    Lu Qiang, Sun Yuanzhang. Nonlinear stabilizing control of multimachine systems[J].IEEE Transactions on Power Systems, 1989,4(1):236–241.CrossRefGoogle Scholar
  8. [8]
    Lu Qiang, Sun Yuanzhang, Gao Jingde. The development of geometry of nonlinear systems and its applications to power systems[J].Chinese J Power and Machine Engineering, 1990,4(1), Special Issue, 15–21. (in Chinese)Google Scholar
  9. [9]
    Yuan Bin, Sun Qihong. Application of bifurcation theory to complicated oscillation phenomena fow power systems[J].Power System Technology, 1994,18(4):1–4. (in Chinese)Google Scholar
  10. [10]
    Zhang Qiang, Liu Jiubin. Chaotic behaviors of oscillation for power systems[J].J Nanjing Power College, 1995,7(1):14–18. (in Chinese)Google Scholar
  11. [11]
    Zhuang Xitai, Zhang Nanyue.Complex Functions[M]. Beijing: Peking University Press, 1984. (in Chinese)Google Scholar

Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1999

Authors and Affiliations

  • Zhang Weinian
    • 1
  • Zhang Weidong
    • 2
  1. 1.Department of MathematicsSichuan UniversityChengduP R China
  2. 2.Chongqing Power CollegeChongqingP R China

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