The Principle of Chaos Exclusion Analysis and its Application
Wang Erzhi · 2012
This paper introduces a new chaotic parse research method:exclusion analysis method,whose basic idea 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.What's 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.