摘要
唯一稳态消谐法是近年出现的消除非线性系统谐振的新的分析方法。该方法的基本思想是如果非线性系统存在一个非谐振的正常解,并且该系统具有唯一的稳态,则此时对应的条件就是系统不发生谐振的条件。文章将该方法应用在中性点接地电力系统铁磁谐振的分析中,以GRONWALL定理为工具,得到了相应的消谐条件。结果表明,消除谐振的条件可以用一个矩阵的稳定性条件来决定,并用数值模拟进行验证,表明结果正确,也说明唯一稳态消谐法的有效性。
Unique steady state elimination method has been a new one for eliminating resonance in nonlinear system in recent years. Its basic idea is that if there is a normal （non -resonance）solution for the system, and the steady state of system is unique, then the corresponding conditions are the conditions for eliminating resonance. In this paper, this new method is applied to analyze the elimination of ferroresonanee in neutral grounding power system by zero - se- quence resistor Based upon Gronwall theorem, the conditions for eliminating this ferroresonance are obtained , which can be determined by the stability conditions of some constant matrixes. The conclusions of this article have been proved correct by numerical simulation, and it shows the effectiveness of unique steady state elimination method.
出处
《黄石理工学院学报》
2010年第6期1-4,66,共5页
Journal of Huangshi Institute of Technology
基金
国家自然科学基金资助项目(项目编号:50477050)
关键词
电力系统
铁磁谐振
中性点接地系统
非线性系统
唯一稳态消谐法
power system
ferroresonance
non - neutral grounding power system
nonlinear system
unique steady state elimination method
