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基于BP神经网络的GEO等离子体环境参数反演分析

张海呈 全荣辉 张诚悦

张海呈, 全荣辉, 张诚悦. 基于BP神经网络的GEO等离子体环境参数反演分析[J]. 空间科学学报, 2023, 43(1): 78-86. doi: 10.11728/cjss2023.01.220311028
引用本文: 张海呈, 全荣辉, 张诚悦. 基于BP神经网络的GEO等离子体环境参数反演分析[J]. 空间科学学报, 2023, 43(1): 78-86. doi: 10.11728/cjss2023.01.220311028
ZHANG Haicheng, QUAN Ronghui, ZHANG Chengyue. Inversion Analysis of GEO Plasma Environmental Parameters Based on BP Neural Network (in Chinese). Chinese Journal of Space Science, 2023, 43(1): 78-86 doi: 10.11728/cjss2023.01.220311028
Citation: ZHANG Haicheng, QUAN Ronghui, ZHANG Chengyue. Inversion Analysis of GEO Plasma Environmental Parameters Based on BP Neural Network (in Chinese). Chinese Journal of Space Science, 2023, 43(1): 78-86 doi: 10.11728/cjss2023.01.220311028

基于BP神经网络的GEO等离子体环境参数反演分析

doi: 10.11728/cjss2023.01.220311028
基金项目: 国家自然科学基金项目资助(51877111)
详细信息
    作者简介:

    全荣辉:E-mail:quanrh@nuaa.edu.cn

  • 中图分类号: P354

Inversion Analysis of GEO Plasma Environmental Parameters Based on BP Neural Network

  • 摘要: 空间等离子体环境诱发的表面充电效应会对航天器运行产生干扰,严重时将导致太阳电池等部件失效。通过神经网络反演方法,以GEO环境中介质表面充电电位曲线作为输入,在双峰麦克斯韦分布假设下,可以逆向得到高能峰的等离子体参数。分析了GEO等离子体环境参数对表面充电电位曲线的影响,表明高能峰在充电过程中起决定性作用;其次通过MATLAB搭建BP神经网络,采用 COMSOL计算得到多组充电曲线进行网络训练和反演计算,得到等离子体密度反演的平均相对误差为0.42%,温度反演的平均相对误差为0.03%,整体误差在0.1%~5.6%。结果表明,采用神经网络对等离子体环境进行反演具有可行性,该方法可以作为空间等离子体环境探测结果的对比参考和航天器非探测点表面电位计算的输入条件。

     

  • 图  1  不同粒子数密度下的充电曲线

    Figure  1.  Charge curves for different particle number densities

    图  2  不同等离子体温度下的充电曲线

    Figure  2.  Charging curves for different plasma temperatures

    图  3  BP神经网络结构

    Figure  3.  Structure diagram of BP neural network

    图  4  神经网络结构

    Figure  4.  Structure of BP neural networks

    图  5  BP神经网络的误差百分比

    Figure  5.  Errors of BP neural network

    图  6  GA-BP神经网络的误差百分比

    Figure  6.  Errors of GA-BP neural network

    图  7  1979年SCATHA卫星在轨电位曲线

    Figure  7.  Potential curve of SCATHA satellite in 1979

    表  1  GEO最恶劣等离子体环境参数

    Table  1.   GEO worst-case environmental parameters

    等离子体分布ne,1/cm–3Te,1/eVne,2/cm–3Te,2/eVni,1/cm–3Ti,1/eVni,2/cm–3Ti,2/eV
    SCATHA-Mullen1 0.20 400 2.30 24800 1.60 300 1.30 28200
    SCATHA-Mullen2 0.90 600 1.60 25600 1.10 400 1.70 24700
    ECSS-E-ST-10–04 C
    (SCATHA 1979)
    0.20 400 1.20 27500 0.60 200 1.30 28000
    NASA Worst Case 1.12 12000 0.236 29500
    ATS-6 2.36 29500 0.236 29500
    MIL-STD-1809 2.36 3100 0.625 25100 0.60 200 1.20 28000
    Galaxy 15 4.58 55600 0.10 75000
    下载: 导出CSV

    表  2  部分等离子体环境参数

    Table  2.   Partial plasma environmental parameters

    等离子体分布ne,1/cm–3Te,1/eVne,2/cm–3Te,2/eVni,1/cm–3Ti,1/eVni,2/cm–3Ti,2/eV
    环境10.204002.3248001.603001.3028200
    环境20.254502.2250001.503101.3228000
    环境30.305002.1252001.403201.3427800
    环境40.355502.0254001.303301.3627600
    环境50.406001.9256001.203401.3827400
    下载: 导出CSV

    表  3  部分电位数据

    Table  3.   Partial potential data

    时间 /s0.511.522.533.5···50
    电位1–7.24–14.48–21.72–28.96–36.21–43.44–50.66···–702.24
    电位2–6.62–13.23–19.85–26.47–33.08–39.69–46.29···–642.96
    电位3–5.96–11.92–17.89–23.84–29.79–35.75–41.69···–580.86
    电位4–5.28–10.56–15.85–21.12–26.40–31.68–36.95···–515.85
    电位5–4.58–9.15–13.72–18.30–22.87–27.44–32.01···–447.92
    下载: 导出CSV

    表  4  BP神经网络反演结果

    Table  4.   Inversion results by BP nueral network

    等离子体分布ne,2/cm–3Te,2/eVni,2/cm–3Ti,2/eV
    反演环境1 2.30 24800 1.30 28200
    反演结果1 2.22 25025 1.315 28090
    相对误差/(%) 3.48 –0.91 –1.15 0.39
    反演环境2 1.50 26400 1.46 26600
    反演结果2 1.43 26068 1.3579 27103
    相对误差/(%) 4.47 1.26 6.99 –1.89
    反演环境3 1.00 27500 1.70 24700
    反演结果3 0.997 27459 1.5844 25378
    相对误差/(%) 0.30 0.15 6.80 –2.74
    反演环境4 0.99 27500 1.70 24700
    反演结果4 0.967 27272 1.6663 24972
    相对误差/(%) 2.30 0.83 1.98 –1.10
    反演环境5 0.73 25600 1.46 26800
    反演结果5 0.729 25629 1.4603 26738
    相对误差/(%) 0.14 –0.11 –0.02 0.23
    下载: 导出CSV

    表  5  GA-BP神经网络反演结果

    Table  5.   Inversion results by GA-BP neural network

    等离子体分布ne,2/cm–3Te,2/eVni,2/cm–3Ti,2/eV
    反演环境1 2.30 24800 1.30 28200
    BP值 2.274 24910 1.327 28088
    GA-BP值 2.259 25041 1.319 28071
    反演环境2 1.50 26400 1.46 26600
    BP值 1.488 26394 1.351 27587
    GA-BP值 1.499 26392 1.433 26908
    反演环境3 1.00 27500 1.70 24700
    BP值 1.018 27467 1.631 25101
    GA-BP值 0.998 27511 1.688 24755
    反演环境4 0.99 27500 1.70 24700
    BP值 1.016 27451 1.658 24920
    GA-BP值 0.981 27404 1.705 24792
    反演环境5 0.73 25600 1.46 26800
    BP值 0.746 25691 1.457 26774
    GA-BP值 0.741 25650 1.459 26753
    下载: 导出CSV

    表  6  1979年SCATHA卫星环境参数反演结果

    Table  6.   Inversion results of environmental parameters of SCATHA satellite in 1979

    等离子体分布ne,1/cm–3Te,1/eVne,2/cm–3Te,2/eVni,1/cm–3Ti,1/eVni,2/cm–3Ti,2/eV
    初始环境0.601000.60260000.623001.3028000
    反演结果1.03248851.3427452
    峰值环境0.204001.20275000.602001.3028000
    反演结果1.78243351.6225127
    下载: 导出CSV

    表  7  所取电位数据

    Table  7.   Selected potential data

    取点12345678910
    初始电位/V–4.07–4.41–4.89–5.21–5.57–6.01–6.33–6.70–6.95–7.21
    峰值电位/V–295.90–299.31–306.83–314.27–322.63–327.01–330.44–335.73–338.10–341.52
    下载: 导出CSV
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  • 收稿日期:  2022-03-11
  • 修回日期:  2022-10-11
  • 网络出版日期:  2023-02-09

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