基于时变状态矩阵的故障系统稳定性分析  

Stability analysis of fault system based on time-varying state matrix

作　　者：马静[1] 彭明法 李益楠[1] 王上行[1] 高健[3] 王增平[1] 

机构地区：[1]华北电力大学电力系统保护与动态安全监控教育部重点实验室,北京102206 [2]嘉兴市供电公司,浙江嘉兴314033 [3]湖州电力局,浙江湖州313000

出　　处：《电力系统保护与控制》2014年第16期9-14,共6页Power System Protection and Control

基　　金：国家重点基础研究发展计划项目(973项目)(2012CB215200);国家自然科学基金项目(51277193);中央高校基本科研业务费专项资金项目(2014ZZD02);教育部留学回国人员科研启动基金资助项目(教外司留[2011]1139号);河北自然科学基金项目(E2012502034);北京市科技新星支持计划(Z141101001814012);北京市优秀人才支持计划(2013B009005000001);霍英东教育基金(141057)~~

摘　　要：针对能量函数法无法分析系统的时变状态矩阵与稳定性之间的关系,提出一种基于时变状态矩阵的故障电力系统稳定性分析方法。首先,通过系统在故障消失点的状态及运行方式,逐步计算系统在故障后各运行点的状态及状态矩阵。然后求取差分方程的解,并根据时变系统稳定性判据,判定故障后系统能否渐进稳定。最后,2机系统和16机系统仿真算例表明,该方法能够准确判断系统在不同故障位置及故障持续时间等情况下系统的稳定性。A novel method is proposed to analyze the stability of fault power system based on time-varying state matrix, since the energy function method cannot analyze the relationship between the time-varying state matrix and the system stability. First, through the state and operation mode of the system at the failure vanishing point, the real-time state matrix after the fault is calculated gradually. Then, the solution of the differential equation is calculated, and the stability of the fault system can be judged based on the stability criterion of the time-varying system. Finally, simulation results of the equivalent two-generator and sixteen-generator system illustrate that the method can accurately analyze the stability of the system when the fault occurs at different position and with different duration time.

关 键 词：时变状态矩阵 时变系统 故障系统 稳定性 

分 类 号：TM712[电气工程—电力系统及自动化]