中文摘要：

本文介绍了一种新的混沌解析研究方法：排除分析法。其基本思想是任何系统只有四种可能的解的形式，即常数解（平衡解）、周期解、概周期解和混沌解，如果排除了常数解（平衡解）、周期解、概周期解的存在，系统就只有一种可能，即出现混沌解，从而得到系统出现混沌的解析条件。本文将这一方法应用到电力系统铁磁谐振的分析中，得到了判断系统出现混沌形式铁磁谐振新的解析条件，并利用实例进行验证，表明结果完全正确。通过与Melnikov方法比较发现，排除分析法比经典的Melnikov方法更精确，适应范围更广。

英文摘要：

This paper introduces a new chaohc parse research method ： exclusion anatysm memoa, whose Basic 1- dea is that any system has only four possible forms named constant solution （ equilibrium }, periodic solution, almost periodic solutions and chaos solution. If we exclude the existence of constant angle （ equilibrium）, periodic solution and almost periodic solutions, the system exists only one possibility that is chaos solution. This paper applies the above method to the analysis of ferroresonance in power system, obtains the new analytical conditions on how to judge the system＇s appearing chaos form of ferromagnetic resonance. Whatg more, that the result is correct through the verified example. Compared with Melnikov, this exclusion analysis method is more precise with a wider adapting range.