Section I of this work proposed a mathematical model and three types of solutions for conductive electrical tree growth in dielectrics. In this section, experiments are presented using a cone-plane electrode and nanosecond voltage pulses to investigate the electrical tree growth in polymethyl methacrylate (PMMA) samples. The results show that the tree length l{l} is proportional to the tangent of the pulse number N{N} under high-voltage pulses but l{l} approaches a limiting length under relatively low voltage pulses. These results agree with those predicted from the model. Therefore, the mathematical model for conductive electrical tree growth in dielectrics is verified.

中文翻译：

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电介质中导电树生长的数学模型第二部分：验证


这项工作的第一部分提出了电介质中导电树生长的数学模型和三种解决方案。在本节中，我们将使用锥面电极和纳秒电压脉冲进行实验，以研究聚甲基丙烯酸甲酯 (PMMA) 样品中电树的生长。结果表明，在高压脉冲下，树长l{l}与脉冲数N{N}的正切成正比，但在较低电压脉冲下，l{l}接近极限长度。这些结果与模型预测的结果一致。因此，验证了电介质中导电电树生长的数学模型。