电力系统微分代数模型奇异诱导分岔点的搜索及其理论分析

拓展了已有的奇异诱导分岔定理的结论，提出了当参数变化时如何追踪奇异诱导分岔点的方法。该方法表明，如果搜索到某一参数下的奇异点而且知道对应的修正项，那么就可以简单地通过只改变发电机节点的注入功率而保持负荷节点的功率注入不变的方法准确地追踪到另外一个参数值下的奇异诱导分岔点。最后用简单示例系统和IEEE 118系统对前面的方法进行了验证，仿真结果表明该方法的有效性和合理性。

TRACING OF SINGULARITY INDUCED BIFURCATION IN POWER SYSTEM DIFFERENTIAL ALGEBRAIC EQUATION MODEL AND ITS THEORETICAL ANALYSIS

The singularity induced bifurcation(SIB), which occurs when the differential algebraic equation (DAE) is used in power system, is researched. At first, the conclusion of existent singularity induced bifurcation theorem is expanded and the detailed analysis and discussion are carried out. Second, a distinct method, i.e., how to trace the singularity induced bifurcation point when parameters are changed, is presented. This method indicates that when the singular point under a certain parameter value has been searched and the corresponding correction term is known, in that case the singularity induced bifurcation point under another parameter value can be accurately traced through only changing the input power at the generator node but the input power at load node keeps unchanging. Finally, the above mentioned method is verified by a simple example system and IEEE 118 bus system, the simulation results show that the presented method is effective and reasonable.