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Power system instability and chaos

机译：电力系统不稳定和混乱

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In this paper routes to chaotic oscillation in power systems and relationships between chaos and various power system instability modes are deeply studied. Firstly, using a three-bus simple system, three routes may cause power systems to chaos are illustrated and discussed. They are route of cascading period doubling bifurcation (PDB), route of torus bifurcation (TB) and route of directly initiated by a large disturbance of energy. The route of cascading PDB is a typical route to chaos, where PDB is caused by a real Floquet multiplier (FM) moving counter to the real axis and going out of the unit circle from point (-1, 0) in the complex plane. TB is caused by a couple of conjugate FMs going out of the unit circle with a nonzero imaginary part in the complex plane. Chaos caused by TB has some interesting features, such as self-organizing phenomenon, coexistence of divergent and chaotic subspaces, etc. The last route, which is directly initiated by a large disturbance of energy, is reported and studied for the first time so far as we know. Secondly, relationships between chaos and various instability modes are discussed. Also using a simple system, we illustrate the scenes that chaos leads power system to voltage collapse, angle divergence, or voltage collapse with angle divergence simultaneously when the stability conditions of the chaotic oscillation are broken. It tells us that chaos is very likely to be an intergrade existing in the transient stage after a large disturbance. In order to prevent the appearance of instability incidents effectively, it is necessary to keep up on the study of chaotic phenomena in power systems. All these studies are helpful to deeply understand the mechanism of various instability modes and to find effective anti-chaos strategies.
机译：本文深入研究了电力系统中混沌振荡的路径以及混沌与各种电力系统不稳定性模式之间的关系。首先，使用三总线简单系统，说明并讨论了三种路线可能导致电力系统混乱的情况。它们是级联倍增分叉（PDB）的路径，圆环分叉（TB）的路径和由大能量干扰直接引发的路径。级联PDB的路径是通向混沌的典型路径，其中PDB是由实Floquet乘数（FM）相对于实轴移动并从复平面中的点（-1，0）离开单位圆引起的。 TB是由几个共轭FM离开单位圆而引起的，其中复数平面中的虚部不为零。结核引起的混沌具有一些有趣的特征，例如自组织现象，发散和混沌子空间的共存等。迄今为止，首次报道并研究了由大量能量干扰直接引发的最后一条路线。据我们所知。其次，讨论了混沌与各种不稳定模式之间的关系。同样使用一个简单的系统，我们说明了当混沌振荡的稳定性条件被破坏时，混沌导致电力系统同时发生电压崩溃，角度发散或带有角度发散的电压崩溃的场景。它告诉我们，在很大的扰动之后，混沌很可能是过渡阶段中存在的过渡。为了有效防止出现不稳定事件，有必要继续研究电力系统中的混沌现象。所有这些研究有助于深入了解各种不稳定模式的机制，并找到有效的抗混沌策略。

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