基于范数的唯一稳态消谐法及在消除中性点接地电力系统铁磁谐振中的应用

The Unique Steady State Elimination Method by Gronwall Theorem and Its Application to Ferroresonance in Neutral Grounding Power System

唯一稳态消谐法是近年出现的消除非线性系统谐振新的分析方法.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.将这一方法应用在消除中性点接地电力系统的铁磁谐振的分析中,以矩阵范数为工具,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范数条件来决定,并用数值模拟进行验证,表明结果正确,同时也说明唯一稳态消谐法的有效性.

Unique steady state elimination method is a new method for eliminating resonance in nonlinear system presented recently.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 eliminating of ferroresonance in neutral grounding power system.Based upon Matrix norms,the conditions for eliminating this ferroresonance are obtained,which can be determined by the norms of some matrixes.The conclusions of this article are proved correct by numerical simulation,and it shows the effectiveness of unique steady state elimination method.