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复杂多方向威胁下的导弹预警雷达优化部署方法

刘伟 刘昌云 郭相科 樊良优 何晟 兰昊

刘伟,刘昌云,郭相科,等. 复杂多方向威胁下的导弹预警雷达优化部署方法[J]. 北京航空航天大学学报,2024,50(4):1392-1404 doi: 10.13700/j.bh.1001-5965.2022.0486
引用本文: 刘伟,刘昌云,郭相科,等. 复杂多方向威胁下的导弹预警雷达优化部署方法[J]. 北京航空航天大学学报,2024,50(4):1392-1404 doi: 10.13700/j.bh.1001-5965.2022.0486
LIU W,LIU C Y,GUO X K,et al. Deployment optimization method for missile early warning radar under complex and multi-directional missile threats[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1392-1404 (in Chinese) doi: 10.13700/j.bh.1001-5965.2022.0486
Citation: LIU W,LIU C Y,GUO X K,et al. Deployment optimization method for missile early warning radar under complex and multi-directional missile threats[J]. Journal of Beijing University of Aeronautics and Astronautics,2024,50(4):1392-1404 (in Chinese) doi: 10.13700/j.bh.1001-5965.2022.0486

复杂多方向威胁下的导弹预警雷达优化部署方法

doi: 10.13700/j.bh.1001-5965.2022.0486
基金项目: 国家自然科学基金(62106283)
详细信息
    通讯作者:

    E-mail:guosyanyu@163.com

  • 中图分类号: TN959.1

Deployment optimization method for missile early warning radar under complex and multi-directional missile threats

Funds: National Natural Science Foundation of China (62106283)
More Information
  • 摘要:

    针对现有导弹预警雷达部署相对独立、协同困难,难以满足大规模对抗场景的现状,从远程预警雷达、跟踪识别雷达、机动式预警雷达不同的任务特点出发,建立应对复杂多方向威胁的多型导弹预警雷达优化部署模型,在满足最优覆盖、协同交接、目标识别等任务约束下,解决雷达协同部署问题。针对所提模型设计了一种基于云自适应的分区优化离散粒子群(CPBPSO)算法,通过设计分区编码策略缩减算法求解空间、加入云自适应变异算子提高算法全局寻优和局部跳出能力,使算法更适用于导弹预警雷达部署问题的处理。实例验证了所提模型在求解单方向、多方向威胁场景部署问题的可行性,对比分析了CPBPSO算法的有效性,基本满足导弹预警雷达最优化协同部署的需求。

     

  • 图 1  导弹预警雷达能力仿真

    Figure 1.  Simulation of missile early warning radar capability

    图 2  导弹预警系统协同预警示意图

    Figure 2.  Schematic diagram of missile early warning system coordinated early warning

    图 3  威胁空域模型

    Figure 3.  Threat airspace model

    图 4  弹道覆盖示意图

    Figure 4.  Schematic of ballistic coverage

    图 5  地形遮蔽影响探测能力

    Figure 5.  Terrain masking affects detection capability

    图 6  弹头目标运动模型

    Figure 6.  Warhead target motion model

    图 7  协同预警预测交接

    Figure 7.  Coordinated early warning prediction handover

    图 8  粒子映射关系

    Figure 8.  Particle mapping relationships

    图 9  粒子分区编码示意

    Figure 9.  Schematic of particle partition encoding

    图 10  云模型示意图

    Figure 10.  Cloud model diagram

    图 11  威胁空域示意

    Figure 11.  Schematic diagram of threat airspace

    图 12  单方向威胁优化部署方案

    Figure 12.  Optimal radar deployment in single direction threat

    图 13  跟踪识别雷达地形遮蔽示意图

    Figure 13.  Schematic of tracking and identifying radar terrain shadowing

    图 14  多方向威胁优化部署方案

    Figure 14.  Optimal radar deployment in multi-direction threat

    图 15  算法对比实验分析

    Figure 15.  Comparison analysis of algorithms

    表  1  单方向威胁空域的典型弹道信息

    Table  1.   Typical ballistic information of single direction threat airspace

    弹道序号 发点
    位置/(°)
    落点
    位置/(°)
    弹道
    弧长/km
    关机点速度/
    (km·s−1
    飞行
    时间/s
    1 (27.4,133.1) (41.0,80.3) 7036.7 6.534 1934.7
    2 (19.2,127.8) (41.0,80.3) 7072.5 6.498 1928.3
    3 (27.2,129.0) (41.0,80.3) 5140.5 5.865 1186.9
    4 (23.7,127.1) (41.0,80.3) 5258.1 5.904 1203.4
    下载: 导出CSV

    表  2  雷达基本参数

    Table  2.   Basic parameter of radar

    雷达类型 最大探测距离/km 方位范围/(°) 俯仰范围/(°)
    远程预警雷达 3 000 ±60 0~85
    跟踪识别雷达 500 0~360 10~90
    前置预警雷达 1 500 ±53 10~85
    下载: 导出CSV

    表  3  雷达优化部署参数

    Table  3.   Optimal radar deployment parameter

    雷达类型 部署点位 海拔/km 法向/(°)
    前置预警雷达 (24.83°N 114.83°E) 0.0293 353.5
    远程预警雷达 (45.62°N 116.82°E) 0.8979 148.6
    跟踪识别雷达 (43.27°N 85.23°E) 3.7204
    下载: 导出CSV

    表  4  单方向威胁预警能力分析

    Table  4.   Analysis of single direction threat early warning capability

    弹道
    名称
    首点告警
    时间/s
    持续跟踪
    时长/s
    弹道覆盖
    率/%
    高识别
    时长/s
    BM1 T0+56.18 1831.58 94.67 71.41
    BM2 T0+39.21 1601.45 83.05 56.10
    BM3 T0+50.36 1117.22 94.13 113.88
    BM4 T0+40.29 1106.76 92.07 100.85
    注:T0为导弹发射时刻。
    下载: 导出CSV

    表  5  多方向威胁空域的典型弹道信息

    Table  5.   Typical ballistic information of multi-direction threat airspace

    弹道序号 发点
    位置/(°)
    落点
    位置/(°)
    弹道
    弧长/km
    关机点速度/
    (km·s−1
    飞行
    时间/s
    1 (56.3,123.5) (41.0,80.3) 6003.7 5.236 984.5
    2 (37.0,127.0) (41.0,80.3) 4839.7 5.550 1078.9
    3 (23.7,130.0) (41.0,80.3) 6083.4 5.993 1234.8
    4 (13.7,105.0) (41.0,80.3) 4167.3 5.904 1607.3
    5 (7.5,91.5) (41.0,80.3) 4601.5 5.392 1053.3
    6 (1.6,60.0) (41.0,80.3) 5699.9 5.747 1216.6
    注:为便于表示,每个空域仅选填1条典型最优能量弹道。
    下载: 导出CSV

    表  6  雷达部署及任务分配

    Table  6.   Radar deployment and task assignment

    雷达类型 名称 部署
    点位/(°)
    高程/
    km
    法向/
    (°)
    E1 E2 E3 E4 E5 E6
    前置预警
    雷达
    FBR1 (44.8,113.3) 1.278 7.2
    FBR2 (25.7,119.1) 0.568 4.8
    FBR3 (27.9,88.1) 4.758 88.4
    远程预警
    雷达
    PBR1 (29.6,109.4) 0.569 304.7
    PBR2 (38.6,90.2) 3.138 147.9
    跟踪识别
    雷达
    XBR1 (42.4,81.4) 3.951
    XBR2 (41.7,77.6) 5.199
    下载: 导出CSV

    表  7  多方向威胁预警能力分析

    Table  7.   Analysis of mutli-direction threat early warning capability

    威胁
    区域
    首点告警
    时间/s
    持续跟踪
    时长/s
    弹道覆盖
    率/%
    高识别
    时长/s
    E1 T0+56.68 905.28 92.12 76.11
    E2 T0+50.39 1049.44 97.27 111.26
    E3 T0+42.07 1022.90 82.84 93.425
    E4 T0+59.97 1507.16 93.77 76.96
    E5 T0+51.88 980.93 93.13 77.16
    E6 T0+608.46 563.16 46.29 62.55
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-06-12
  • 录用日期:  2022-08-10
  • 网络出版日期:  2022-09-08
  • 整期出版日期:  2024-04-29

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