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考虑参数不确定性的高空电磁脉冲E1分量环境计算及分析

董宁 谢彦召

董宁, 谢彦召. 考虑参数不确定性的高空电磁脉冲E1分量环境计算及分析[J]. 强激光与粒子束, 2019, 31: 070002. doi: 10.11884/HPLPB201931.190140
引用本文: 董宁, 谢彦召. 考虑参数不确定性的高空电磁脉冲E1分量环境计算及分析[J]. 强激光与粒子束, 2019, 31: 070002. doi: 10.11884/HPLPB201931.190140
Dong Ning, Xie Yanzhao. Early-time high-altitude electromagnetic pulse simulation and analysis considering parameter uncertainty[J]. High Power Laser and Particle Beams, 2019, 31: 070002. doi: 10.11884/HPLPB201931.190140
Citation: Dong Ning, Xie Yanzhao. Early-time high-altitude electromagnetic pulse simulation and analysis considering parameter uncertainty[J]. High Power Laser and Particle Beams, 2019, 31: 070002. doi: 10.11884/HPLPB201931.190140

考虑参数不确定性的高空电磁脉冲E1分量环境计算及分析

doi: 10.11884/HPLPB201931.190140
基金项目: 

西安交通大学电力设备电气绝缘国家重点实验室基金项目 EIPE19114

详细信息
    作者简介:

    董宁(1995-),女,博士研究生,从事电磁兼容传输线理论及电磁场仿真研究;dongning96@163.com

    通讯作者:

    谢彦召(1973-), 男,博士,从事电磁脉冲研究;yzxie@xjtu.edu.cn

  • 中图分类号: O441.2

Early-time high-altitude electromagnetic pulse simulation and analysis considering parameter uncertainty

  • 摘要: 高空电磁脉冲的早期分量幅值高、频谱宽、分布范围广,是高空核爆的电磁效应的重要组成部分。分析了国内外高空电磁脉冲早期分量仿真计算法的研究进展,并选取基于高频近似并考虑电子与电磁场自洽作用的EXEMP算法进行详细介绍,通过数值计算结果总结了高空电磁脉冲的时域波形和空间分布随场源当量、爆高等参数变化的规律,与IEC标准约定的波形时域和空间特征一致。针对HEMP计算中部分参数的不确定性,分析参数取值偏差和波动对电磁脉冲计算结果的影响,使用多项式混沌方法联合Sobol全局敏感度指标对其进行不确定量化,得到电磁脉冲关键值可能分布的上下界、分布的概率密度等信息,分析各参数在特定取值范围内对电磁脉冲特征参数的影响及联合影响。
  • 图  1  高空电磁脉冲E1分量产生机理

    Figure  1.  Generation mechanism of early-time HEMP

    2a  IEC地面电磁脉冲幅值分布示意图

    2a.  IEC 61000-2-9 standard HEMP distribution on Earth's surface

    2b  ABC三点处电磁脉冲时域波形

    2b.  time-domain HEMP waveform at A, B, C

    图  3  不同高度和不同当量下的电磁脉冲时域波形

    Figure  3.  HEMP time-domain waveform at different height and bomb energy

    图  4  HEMP峰值覆盖面积与场源高度示意图

    Figure  4.  Area distribution of HEMP amplitude with different burst height

    图  5  场源参数主效应敏感度指标和总效应敏感度指标

    Figure  5.  Main sensitivity indices and global sensitivity indices of burst energy, height and relative distance and direction of observation

    图  6  电磁脉冲幅值累积概率分布

    Figure  6.  CDF of HEMP amplitude

    表  1  HEMP算例参数取值范围与全局敏感度指标

    Table  1.   Parameter range and global sensitivity indices of HEMP simulation cases

    H/km r/km φ/rad
    variable distribution major sensitivity indices total sensitivity indices variable distribution major sensitivity indices total sensitivity indices variable distribution major sensitivity indices total sensitivity indices
    case 1 h~U[50, 150] 0.163 0.624 $\sqrt{r} \sim U[0, \sqrt{200}]$ 0.160 0.647 φ~U[0, 2π] 0.105 0.256
    case 2 h~U[100, 200] 0.321 0.884 $\sqrt{r} \sim U[0, \sqrt{100}]$ 0.051 0.597 φ~U[0, 2π] 0.016 0.117
    case 3 h~U[100, 200] 0.180 0.763 $\sqrt{r} \sim U[0, \sqrt{200}]$ 0.120 0.681 φ~U[0, 2π] 0.023 0.209
    case 4 h~U[100, 200] 0.100 0.496 $\sqrt{r} \sim U[0, \sqrt{500}]$ 0.347 0.737 φ~U[0, 2π] 0.089 0.164
    case 5 h~U[150, 250] 0.202 0.831 $\sqrt{r} \sim U[0, \sqrt{200}]$ 0.106 0.704 φ~U[0, 2π] 0.028 0.120
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-05-02
  • 修回日期:  2019-06-05
  • 刊出日期:  2019-07-15

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