A New Chaos Analysis Method: Exclusion Analysis Method and Its Application in Ferro-resonance in Power System

摘要

In this paper, a new analytical analysis method for chaos: exclusion method is used to analyze ferroresonance in power system. Its basic idea is that for any systems, there are only four different solution types, that is, constant solutions (equilibrium solutions), periodic solutions, almost periodic solutions and chaotic solutions. If the parameter spaces corresponding to the solutions except chaotic solutions are excluded, the remaining parameter spaces are only the areas corresponding to chaotic solutions, and then the analytical conditions for the chaotic solutions are obtained. This new method is applied to ferro-resonance in power system, and the analytical conditions for chaotic ferro-resonance solutions are obtained for the first time, the conclusions are proved correct by practical examples. Compared with classical Melnikov method, the new method is much more accurate and has much better