电力系统微分代数模型奇异诱导分岔分析

SINGULARITY INDUCED BIFURCATION IN POWER SYSTEM DIFFERENTIAL ALGEBRAIC MODEL

该文系统地讨论了无阻尼项和包括阻尼项的电力系统微分代数模型(DAE)发生奇异诱导分岔(SIB)的特点;首次建立了确切的奇异诱导分岔的一般定义;和已有的定义相比,其定义不但数学描述严谨,而且给电压稳定分析带来极大的方便。文中还首次讨论了包括阻尼项的DAE模型会发生双奇异诱导分岔(DSIB),而无阻尼项的DAE模型只能捕捉到传统的单奇异诱导分岔这一特点,并且还给出了有阻尼项的DAE发生DSIB的充要条件和退化条件,得出了一些有意义的结论和新观点。

The paper discusses the different attributes of singularity induced bifurcation(SIB) between power system differential algebraic model(DAE) without dissipation term and with . firstly, the general definition of SIB was established and its advantage was also showed when compared with the existing one. secondly, it was originally proved that the DAE with damp term could occur double singularity induced bifurcation(DSIB) and the DAE without damp term can only capture the traditional SIB, the sufficient and necessary condition of the occurrence of DSIB was also given. Finally, some new points and suggestion are concluded and advocated respectively.