Title :
Research of the stability region in a power system
Author :
Jing, Zhujun ; Jia, Zhiyuan ; Gao, Yinghui
Author_Institution :
Dept. of Math., Hunan Normal Univ., Hunan Changsha, China
fDate :
2/1/2003 12:00:00 AM
Abstract :
A power system is employed to illustrate how we can apply singular perturbation theory to decompose a full system into two subsystems, slow and fast subsystems. Then, we study the qualitative properties of their solutions and finally obtain the stability region and an analytical expression of the approximate stability boundary of the operation point of the full system by numerical simulation and by computing the local quadratic approximation of the one-dimensional stable manifold at the saddle point. Furthermore, we consider the effects of changing the parameters on the size of the stability region.
Keywords :
power system dynamic stability; singularly perturbed systems; approximate stability boundary; attractive region; fast subsystems; full system decomposition; high-voltage operating point; local quadratic approximation; numerical simulation; numerical simulations; one-dimensional stable manifold; power system dynamics; power system stability region; qualitative properties; saddle point; singular perturbation theory; slow subsystems; stability region; time-scale decomposition; voltage collapse; Mathematics; Numerical simulation; Perturbation methods; Power system analysis computing; Power system measurements; Power system security; Power system stability; Power system transients; Stability analysis; Voltage;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2002.808214
