Nonlinear Dynamics

, Volume 61, Issue 3, pp 477–482 | Cite as

Effect of noise on erosion of safe basin in power system

  • Du Qu Wei
  • Bo Zhang
  • Dong Yuan Qiu
  • Xiao Shu Luo
Original Paper


We study the effect of Gaussian white noise on erosion of safe basin in a simple model of power system whose safe basin is integral in the absence of noise. The stochastic Melnikov method is first applied to predict the onset of basin erosion when the noise excitation is present in system. And then the eroded basins are simulated according to the necessary restrictions for the system’s parameters. It is found that for the noisy power system when the noise intensity σ is greater than a threshold, basin erosion occurs and as σ is further increased basin erosion is aggravated. These studies imply that random noise excitation can induce and enhance the basin erosion in the power system.


Gaussian white noise Erosion of safe basin Stochastic Melnikov method Power system 


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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Du Qu Wei
    • 1
    • 2
  • Bo Zhang
    • 1
  • Dong Yuan Qiu
    • 1
  • Xiao Shu Luo
    • 2
  1. 1.College of Electric PowerSouth China University of TechnologyGuangzhouChina
  2. 2.College of Electronic EngineeringGuangxi Normal UniversityGuilinChina

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