›› 2015, Vol. 24 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/24/3/030501

• GENERAL • 上一篇    下一篇

Bifurcation behavior and coexisting motions in a time-delayed power system

马美玲, 闵富红   

  1. School of Electrical and Automation Engineering, Nanjing 210042, China
  • 收稿日期:2014-09-17 修回日期:2014-10-14 出版日期:2015-03-05 发布日期:2015-03-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51475246 and 51075215), the Natural Science Foundation of Jiangsu Province of China (Grant No. Bk20131402), and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China (Grand No. [2012]1707).

Bifurcation behavior and coexisting motions in a time-delayed power system

Ma Mei-Ling (马美玲), Min Fu-Hong (闵富红)   

  1. School of Electrical and Automation Engineering, Nanjing 210042, China
  • Received:2014-09-17 Revised:2014-10-14 Online:2015-03-05 Published:2015-03-05
  • Contact: Min Fu-Hong E-mail:minfuhong@njnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51475246 and 51075215), the Natural Science Foundation of Jiangsu Province of China (Grant No. Bk20131402), and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry of China (Grand No. [2012]1707).

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摘要： With the increase of system scale, time delays have become unavoidable in nonlinear power systems, which add the complexity of system dynamics and induce chaotic oscillation and even voltage collapse events. In this paper, coexisting phenomenon in a fourth-order time-delayed power system is investigated for the first time with different initial conditions. With the mechanical power, generator damping factor, exciter gain, and time delay varying, the specific characteristic of the time-delayed system, including a discontinuous “jump” bifurcation behavior is analyzed by bifurcation diagrams, phase portraits, Poincaré maps, and power spectrums. Moreover, the coexistence of two different periodic orbits and chaotic attractors with periodic orbits are observed in the power system, respectively. The production condition and existent domain of the coexistence phenomenon are helpful to avoid undesirable behavior in time-delayed power systems.

关键词: chaotic oscillation, time delays, bifurcation diagrams, coexisting motions

Abstract: With the increase of system scale, time delays have become unavoidable in nonlinear power systems, which add the complexity of system dynamics and induce chaotic oscillation and even voltage collapse events. In this paper, coexisting phenomenon in a fourth-order time-delayed power system is investigated for the first time with different initial conditions. With the mechanical power, generator damping factor, exciter gain, and time delay varying, the specific characteristic of the time-delayed system, including a discontinuous “jump” bifurcation behavior is analyzed by bifurcation diagrams, phase portraits, Poincaré maps, and power spectrums. Moreover, the coexistence of two different periodic orbits and chaotic attractors with periodic orbits are observed in the power system, respectively. The production condition and existent domain of the coexistence phenomenon are helpful to avoid undesirable behavior in time-delayed power systems.

Key words: chaotic oscillation, time delays, bifurcation diagrams, coexisting motions

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Ac (Low-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)