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
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;
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
DOI :
10.1109/TDC.2008.4517301
