• DocumentCode
    3400580
  • Title

    Effects of the stochastic load model on power system voltage stability based on bifurcation theory

  • Author

    Qiu, Y. ; Zhao, J. ; Chiang, H.D.

  • Author_Institution
    Dept. of Math., Hohai Univ., Nanjing
  • fYear
    2008
  • fDate
    21-24 April 2008
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    The stochastic perturbation of power loads has a significant effect on the voltage stability of power system. The bifurcation theory and the eigenvalue analysis method are used to analyze the voltage stability of a classical three buses power system in this paper. The random load characteristic is considered to develop a stochastic model for voltage stability analysis - a set of stochastic differential equations. Theoretical analysis and the numerical simulations using the Euler-Maruyama method illustrated that the random load´s positive or negative accumulation can make the power system suddenly lose the voltage stability. The type of instability could possibly be of either Hopf bifurcation or saddle- node bifurcation.
  • Keywords
    bifurcation; eigenvalues and eigenfunctions; power systems; voltage regulators; Euler-Maruyama method; bifurcation theory; eigenvalue analysis method; power system voltage stability; random load characteristic; stochastic differential equations; stochastic load model; Bifurcation; Load modeling; Power system analysis computing; Power system modeling; Power system simulation; Power system stability; Stability analysis; Stochastic processes; Stochastic systems; Voltage; Hopf Bifurcation; Load Random Perturbation; Saddle-node Bifurcation; Stochastic Differential Equations; Voltage Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Transmission and Distribution Conference and Exposition, 2008. T&D. IEEE/PES
  • Conference_Location
    Chicago, IL
  • Print_ISBN
    978-1-4244-1903-6
  • Electronic_ISBN
    978-1-4244-1904-3
  • Type

    conf

  • DOI
    10.1109/TDC.2008.4517301
  • Filename
    4517301