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随机多导体传输线电磁辐射的统计分析

燕学智 史册 赵昱 杨锦鹏

燕学智, 史册, 赵昱, 等 . 随机多导体传输线电磁辐射的统计分析[J]. 北京航空航天大学学报, 2021, 47(1): 7-14. doi: 10.13700/j.bh.1001-5965.2020.0006
引用本文: 燕学智, 史册, 赵昱, 等 . 随机多导体传输线电磁辐射的统计分析[J]. 北京航空航天大学学报, 2021, 47(1): 7-14. doi: 10.13700/j.bh.1001-5965.2020.0006
YAN Xuezhi, SHI Ce, ZHAO Yu, et al. Statistical analysis of electromagnetic radiation from random multi-conductor transmission lines[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(1): 7-14. doi: 10.13700/j.bh.1001-5965.2020.0006(in Chinese)
Citation: YAN Xuezhi, SHI Ce, ZHAO Yu, et al. Statistical analysis of electromagnetic radiation from random multi-conductor transmission lines[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(1): 7-14. doi: 10.13700/j.bh.1001-5965.2020.0006(in Chinese)

随机多导体传输线电磁辐射的统计分析

doi: 10.13700/j.bh.1001-5965.2020.0006
基金项目: 

装备预先研究项目 30105030302

详细信息
    作者简介:

    燕学智  男, 博士, 教授, 硕士生导师。主要研究方向:电磁兼容、人机交互

    史册  男, 硕士研究生。主要研究方向:电磁兼容

    赵昱  女, 博士, 副教授。主要研究方向:电磁兼容

    杨锦鹏  男, 博士研究生。主要研究方向:电磁兼容

    通讯作者:

    燕学智, E-mail: yzhao@jlu.edu.cn

  • 中图分类号: O441.4

Statistical analysis of electromagnetic radiation from random multi-conductor transmission lines

Funds: 

Equipment Pre-research Project 30105030302

More Information
  • 摘要:

    针对含随机参数的互连线缆电磁辐射计算问题,提出了一种基于混沌多项式展开和偶极子近似法的多导体传输线电磁辐射统计分析方法。利用正交多项式的性质对随机多导体传输线方程进行展开,结合边界条件求解得到传输线沿线电流,利用偶极子近似法和镜像法计算传输线电流引起的总辐射。仿真结果验证了所提方法的准确性,与传统的蒙特卡罗方法相比,计算效率得到大幅度提高。所提方法对于预测系统内含随机参数的线缆辐射场,评估线缆电磁辐射和检验系统性能指标,有一定的参考价值。

     

  • 图 1  三导体传输线系统

    Figure 1.  Three-conductor transmission line system

    图 2  偶极子天线模型

    Figure 2.  Dipole antenna model

    图 3  三导体传输线系统辐射模型

    Figure 3.  Radiation model of three-conductor transmission line system

    图 4  传输线电流均值和标准差

    Figure 4.  Transmission line current mean and standard deviation

    图 5  传输线总辐射场

    Figure 5.  Total radiation field of transmission line

    图 6  传输线辐射场概率密度对比

    Figure 6.  Probability density comparison of transmission line radiation field

    图 7  线缆辐射场与国军标限值对比

    Figure 7.  Comparison diagram of cable radiation field and military limit value

    图 8  实际的线缆辐射场

    Figure 8.  Actual cable radiation field

    图 9  调整高度后的线缆辐射场

    Figure 9.  Cable radiation field after height adjustment

    表  1  Hermite正交多项式性质

    Table  1.   Properties of Hermite orthogonal polynomials

    性质 描述
    函数 函数Y,自变量ξ=[ξ1 ξ2ξn]T
    展开
    正交基 Hermite正交多项式{ϕi(ξ)}
    内积
    权重函数
    正交性
    展开系数
    平均 Y0
    下载: 导出CSV

    表  2  三个随机变量的Hermite正交多项式

    Table  2.   Hermite orthogonal polynomials of three random variables

    序号i 阶数p 多项式ϕi ϕi2
    0 0 1 1
    1 1 ξ1 1
    2 1 ξ2 1
    3 1 ξ3 1
    4 2 ξ1ξ2 1
    5 2 ξ1ξ3 1
    6 2 ξ2ξ3 1
    7 2 ξ12-1 2
    8 2 ξ22-1 2
    9 2 ξ32-1 2
    下载: 导出CSV

    表  3  传输线辐射场计算效率对比

    Table  3.   Comparison of calculation efficiency of radiation field of transmission line

    方法 计算时间/s 频点数
    一阶多项式混沌-偶极子近似 27.42 100
    蒙特卡罗-偶极子近似
    9 340.26 100
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-01-04
  • 录用日期:  2020-04-14
  • 网络出版日期:  2021-01-20

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