Association of SIB Points with the Non-Degenerate Equilibria of the Extended DAE System  

作　　者：K.H.Yasir 杜冬云 唐云 

机构地区：[1]Department of Mathematical Sciences

出　　处：《Tsinghua Science and Technology》2003年第5期568-572,共5页清华大学学报（自然科学版（英文版）

基　　金：Supported by the National Special Fund for Key BasicResearch of China(No.19980 2 0 30 9)

摘　　要：The stability of differential-algebraic equations (DAEs) was analyzed using singularity induced bifurcation (SIB) with one parameter. This kind of bifurcation arises in parameter-dependent DAEs having the form x·=f, 0=g. Extended DAE system reduction is introduced as a convenient method to compute the SIB points. Non-degeneracy conditions on the function g are needed. Aften verifying these conditions, the extended DAE system can be solved as an ODE by applying the implicit function theorem near the equilibrium point of the extended DAE system. These equilibrium points in turn include the SIB points of the original DAEs. The study of SIB points enables analysis of power system stability problems.The stability of differential-algebraic equations (DAEs) was analyzed using singularity induced bifurcation (SIB) with one parameter. This kind of bifurcation arises in parameter-dependent DAEs having the form x·=f, 0=g. Extended DAE system reduction is introduced as a convenient method to compute the SIB points. Non-degeneracy conditions on the function g are needed. Aften verifying these conditions, the extended DAE system can be solved as an ODE by applying the implicit function theorem near the equilibrium point of the extended DAE system. These equilibrium points in turn include the SIB points of the original DAEs. The study of SIB points enables analysis of power system stability problems.

关 键 词：singularity induced bifurcation differential-algebraic equation (DAE) extended DAE system reduction 

分 类 号：O175[理学—数学]