唯一稳态消谐法在铁磁谐振中的应用

采用实验研究、数值模拟及仿真、理论分析三种方法处理铁磁谐振问题时得到的结论和实验数据往往存在一定的差距,针对此,介绍了近年新出现的消除非线性系统谐振的分析方法——唯一稳态消谐法。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分析中,以微分方程单位解矩阵估计的相关方法为工具,可以获得相应的消谐条件。该结果表明,消除谐振的条件可以用矩阵的估计测度条件来决定,并用数值模拟进行验证,同时也说明了唯一稳态消谐法的有效性。

Unique Steady State Elimination Method Used in Ferroresonance

There often exists certain disparity between the experimental data and the conclusion while using experimental study,numerical simulation and theory analysis to deal with ferroresonance problems.Therefore,a new method for eliminating resonance in nonlinear system,the unique steady state elimination method,is presented.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.The method is applied to analyze the eliminating of ferroresonance in neutral grounding power system.Based upon estimation of unit matrix,the conditions for eliminating this ferroresonance can be obtained.The conclusions of this paper are proved correct by numerical simulation,and it shows the effectiveness of unique steady state elimination method.