| Association of SIB Points with the Non-Degenerate Equilibria of the Extended DAE System |
| |
| 作者姓名： | K.H.Yasir 杜冬云 唐云 |
| |
| 作者单位： | DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China |
| |
| 基金项目： | 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.
|
| 关 键 词： | 微分代数方程 稳定性 奇点 分歧点 平衡点 隐函数定理 |
Association of SIB Points with the Non-Degenerate Equilibria of the Extended DAE System |
| |
| K.H.Yasir.Association of SIB Points with the Non-Degenerate Equilibria of the Extended DAE System[J].Tsinghua Science and Technology,2003,8(5):568-572. |
| |
| Authors: | KHYasir |
| |
| Abstract: | 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. |
| |
| Keywords: | singularity induced bifurcation differential-algebraic equation (DAE) extended DAE system reduction |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
