基于模拟电荷法的闪电通道三维发展模拟建模方法研究

Ruifang Li, Chenxia Gao, Xiaobin Cao, Hao Du, Zhihao Lin, Tao Li
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摘要

闪电通道发展模型是研究地面闪电密度分布的基础。现有的闪电通道模拟模型是基于二维模型,通过模拟电荷法计算空间中的电场强度分布,从而模拟闪电通道的发展过程。但实际的闪电通道条件是三维结构,二维模型不能真实反映三维环境对闪电通道的影响。为此,有必要研究闪电通道的三维发展模拟建模方法。本文首先提出了17自由度闪电通道的发展模型。根据这17个自由导柱的发展方向和倾角,推导出三维空间导柱的电场强度计算公式。本文采用模拟电荷法进行计算,发现当闪电通道过高时,在闪电过程的初始阶段会达到过渡条件。因为闪电的发展方向具有很强的概率特征,在三维空间中表现得非常明显。因此,闪电可能在更高的高度被击穿。本文通过对不同高度的高架桥和不同方向的初始雷击位移的研究,提出高架桥高度的增加会增加接触网系统的雷击率;不同方向的初始闪电位移会使左右空间场不平衡,并增强这种作用,增加偏置侧的雷击率。最后,通过改变闪电通道的初始位置,将闪电通道高度对电场的影响限制在一定范围内,提出了闪电通道的三维发展仿真建模方法。
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Research on three-dimensional development simulation modeling method of lightning channel based on simulated charge method
The development model of the lightning channel is the basis for studying the distribution of ground lightning density. The existing lightning channel simulation model is based on two-dimensional model, and the electric field strength distribution in space is calculated by the simulation charge method, so as to simulate the development process of lightning channel. However, the actual lightning channel condition is a three-dimensional structure, and the two-dimensional model cannot truly reflect the impact of the three-dimensional environment on the lightning channel. For this reason, it is necessary to study the three-dimensional development simulation modeling method of the lightning channel. This paper proposes the development model of lightning channel with 17 degrees of freedom in the first place. Based on the development direction and inclination of these 17 free leaders, the calculation formulas of the electric field intensity of the three-dimensional space pilot head are deduced. In this paper, the simulated charge method is used for calculation, and it is found that the transition condition will reach at the initial stage of lightning process when the lightning channel is too high. Because the development direction of lightning has a strong probability characteristic, which is very obvious in three-dimensional space. As a result, lightning could breakdown at higher altitudes. In this paper, by studying the viaducts of different heights and the initial lightning displacement in different directions, it is proposed that the increase in the viaduct height will increase the lightning stroke rate of the catenary system; the initial lightning displacements in different directions will make the left and right space field imbalance and the effect is enhanced to increase the lightning stroke rate on the offset side. Finally, by changing the initial position of the lightning channel, this paper limits the influence of the height of the lightning channel on the electric field to a certain range, and proposes a three-dimensional development simulation modeling method of the lightning channel.
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