矩阵分解原理在唯一稳态消谐法中的应用——以零序电阻消除铁磁谐振分析为例

Application of Matrix Decomposition in Sole Steady-state Harmonic Elimination Method

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。本文将这一方法应用在中性点接地电力系统铁磁谐振的分析中,以矩阵分解为工具,得到了相应的消谐条件。本文的结果表明,消除谐振的条件可以用分解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,同时也说明唯一稳态消谐法有效性。

Sole steady-state harmonic elimination method,appearing in recent years,is a new analytical method used in eliminating harmonic vibration of non-linear system.Its basic concept is that if there exists a proper solution to dissonance in the non-linear system with sole steady state,the corresponding condition is just the condition under which harmonic doesn＇t occur in the system.This paper has applied the method into the analysis on ferromagnetic resonance in power system of neutral ground and acquired corresponding condition for harmonic elimination by means of matrix decomposition.The result indicates that the condition may be determined by the stability of decomposing matrix,which is proved to be correct with numerical simulation.It also shows the availability of sole steady-state harmonic elimination method.