Complex behaviour of a simple partial-discharge model
Complex behaviour of a simple partial-discharge model
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DOI：
10.1209/epl/i2003-10151-x
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发表时间：
2004-04
期刊：
影响因子：
1.8
通讯作者：
H. Suzuki;K. Aihara;T. Okamoto
中科院分区：
文献类型：
--
作者：
H. Suzuki;K. Aihara;T. Okamoto
我们研究了局部放电现象的最简单和最确定的模型，即固定参数值的三电容等效电路模型。虽然这是一个50多年前提出的旧模型，但在这里我们表明，它的行为应该用非线性动力学的当代概念来描述，如魔鬼阶梯和分形。该模型可以简化为一类分段等距，称为双旋转。由于双旋转参数空间中的自相似结构，三电容模型的平均放电速率随外加电压的变化非常复杂，尽管模型的外观很简单，但却像魔鬼的楼梯。我们的结果提供了对实际局部放电现象所固有的动力学复杂性的理解。
We examine the most simple and deterministic model of partial-discharge phenomena, or the three-capacitance equivalent circuit model with fixed parameter values. Although it is an old model proposed more than fifty years ago, here we show that its behaviour should be described with contemporary concepts of nonlinear dynamics such as devil's staircases and fractals. The model can be reduced to a class of piecewise isometries, termed double rotations. Because of the self-similar structure in the parameter space of double rotations, the average discharge rate of the three-capacitance model as a function of the applied voltage is very complex, resembling a devil's staircase, in spite of the simple appearance of the model. Our result provides comprehension of the dynamical complexity inherent in real partial-discharge phenomena.