一种高超声速飞行器雷达测角误差的分析方法

杨博; 刘超凡; 于贺; 魏翔; 樊子辰

doi:10.13700/j.bh.1001-5965.2022.0879

一种高超声速飞行器雷达测角误差的分析方法

doi: 10.13700/j.bh.1001-5965.2022.0879

杨博^1, ,,
刘超凡¹,
于贺¹,
魏翔¹,
樊子辰²

1.
北京航空航天大学宇航学院，北京 100191
2.
北京控制与电子技术研究所，北京 100094

基金项目: 中国航天智能控制实验室基金(ZDSYS-2018-03)

详细信息

通讯作者:
E-mail：yangbo@buaa.edu.cn

中图分类号: TN953⁺.5
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- 被引次数: 0
出版历程
- 收稿日期: 2022-11-03
- 录用日期: 2023-02-20
- 网络出版日期: 2023-03-14
- 整期出版日期: 2024-12-31

A method for analyzing angle measurement error of radar on hypersonic vehicle

YANG Bo^{1
, ,},
LIU Chaofan¹,
YU He¹,
WEI Xiang¹,
FAN Zichen²

1.
School of Astronautics，Beihang University，Beijing 100191，China
2.
Beijing Institute of Control and Electronic Technology，Beijing 100094，China

Funds: Fund of Science and Technology on Space Intelligent Control Laboratory of China (ZDSYS-2018-03)

More Information

Corresponding author: E-mail：yangbo@buaa.edu.cn

摘要

摘要:
雷达回波穿过大气、飞行器外流场、天线罩后产生的波前畸变对主动雷达单脉冲测角误差有着重要影响。基于此，分析了湍流结构引起的折射率梯度对于波前畸变影响及网格分辨率对波动方程弱形式数值求解精度，提出电磁波动方程弱形式“显式”梯度项修正及涡球模型补充密度场小尺度结构的“梯度重构”方法，通过有限元方法进行了计算机数值仿真。仿真结果表明：雷达测角误差的重要原因之一是小尺度湍流造成的电场畸变，并且随着涡结构尺度减小、波长变长，电场畸变加强，测角误差加大。
- 雷达测角 /
- 高超声速飞行器 /
- 电磁波动方程 /
- 弱形式 /
- 有限元方法
Abstract:
The wavefront distortion caused by the passage of radar echoes through the atmosphere, the external flow field of the aircraft, and the radome has a crucial influence on the angle measurement error of active radar single-pulse. The impact of the refractive index gradient caused by the turbulent structure on the wavefront distortion and the numerical solution accuracy of the weak form of the wave equation were analyzed. The “explicit” gradient term correction approach and the “gradient reconstruction” method of supplementing the small-scale structure of the density field with the turbulent vortex model for the weak form of the electromagnetic wave equation were proposed. Computer numerical simulation was conducted using the finite element method. The simulation results indicate that one of the significant causes of the radar angle measurement error is the electric field distortion induced by small-scale turbulence, and as the scale of the vortex structure decreases and the wavelength lengthens, the electric field distortion intensifies, and the angle measurement error increases.
- radar angle measurement /
- hypersonic vehicles /
- electromagnetic wave equation /
- weak form /
- finite element method

HTML全文

图 1 Helmholtz方程2项比值ln d随波长和湍流内尺度变化趋势

Figure 1. Variation trend in ratio of two terms of Helmholtz equation ln d as a function of wavelength and turbulence inner scale

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图 2 单脉冲比幅测角原理

Figure 2. Principle of single pulse amplitude ratio angle measurement

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图 3 阵列天线模型示意图

Figure 3. Schematic of array antenna model

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图 4 高超声速飞行器密度云图

Figure 4. Density cloud diagram of hypersonic vehicle

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图 5 电磁波传输仿真模型

Figure 5. Simulation model of electromagnetic wave transmission

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图 6 工况1下折射率云图

Figure 6. Refractive index contour plot under No.1 condition

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图 7 16 mm波长、−3°角偏差下理想电场等值线

Figure 7. Ideal electric field contour under 16 mm wavelength and −3° angle deviation

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图 8 工况1下电磁波传输数值仿真结果

Figure 8. Numerical simulation results of electromagnetic wave transmission under No. 1 condition

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图 9 工况2条件下电磁波传输数值仿真结果

Figure 9. Numerical simulation results of electromagnetic wave transmission under No. 2 condition

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图 10 工况3条件下电磁波传输数值仿真结果

Figure 10. Numerical simulation results of electromagnetic wave transmission under No. 3 condition

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图 11 工况4条件下电磁波传输数值仿真结果

Figure 11. Numerical simulation results of electromagnetic wave transmission under No. 4 condition

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图 12 飞行状态2 (40 km, 6 Ma)下折射率云图

Figure 12. Refractive index contour plot under flight condition 2 (40 km, 6 Ma)

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图 13 24 mm波长、−3°角偏差下理想电场等值线

Figure 13. Ideal electric field contour under 24 mm wavelength and −3° angle deviation

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图 14 不同波长下理想S曲线

Figure 14. Ideal S-curves at different wavelengths

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图 15 工况5条件下电磁波传输数值仿真结果

Figure 15. Numerical simulation results of electromagnetic wave transmission under No. 5 condition

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图 16 工况6条件下电磁波传输数值仿真结果

Figure 16. Numerical simulation results of electromagnetic wave transmission under No. 6 condition

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表 1 电磁波传输仿真参数

Table 1. Simulation parameters of electromagnetic wave transmission

工况波长/mm 高度/km 马赫数是否弱形式梯度
显式修正

1 16 20 3 否

2 16 20 3 是

3 16 40 6 否

4 16 40 6 是

5 24 20 3 否

6 24 20 3 是

下载: 导出CSV

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