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

机译:一种新的混沌分析方法:排斥分析方法及其在电力系统铁磁谐振中的应用

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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
机译:本文采用一种新的混沌分析方法:排除法来分析电力系统中的铁磁谐振。它的基本思想是,对于任何系统,只有四种不同的解决方案类型,即恒定解(平衡解),周期解,几乎周期解和混沌解。如果排除除了混沌解以外的与该解相对应的参数空间,则其余参数空间仅是与混沌解相对应的区域,从而获得该混沌解的解析条件。将该方法应用于电力系统中的铁磁谐振,首次获得了混沌铁磁谐振解的解析条件,并通过实例证明了该结论的正确性。与经典的梅尔尼科夫方法相比,新方法更准确,更好。

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