Airspace Configuration Method of AWACS in Polygonal Responsibility Area in Air Defense Operations

doi:10.3969/j.issn.1009-086x.2024.01.010

Abstract

Abstract:

Aiming at the problem of airspace configuration of AWACS in irregular polygonal responsibility area in air defense operations， based on the real-time detection area formed by the shortest direct flight distance and the smallest turning diameter of the AWACS patrol route， the AWACS responsibility subarea and the corresponding available airspace for AWACS patrol are determined through optimization algorithm. Based on the evaluation criteria of AWACS stability coverage， the airspace configuration is further optimized， and finally the optimization scheme of AWACS airspace configuration is obtained. The feasibility of this method in planning AWACS airspace configuration in irregular polygon responsibility area and the effectiveness of improving operational efficiency are verified by numerical simulation. The method has strong practical value and military value.

Key words: irregular polygon, AWACS（airborne warning and control system）, responsibility subarea, available airspace, operational efficiency

摘要：

针对防空作战中不规则多边形责任区预警机空域配置问题，基于预警机巡逻航线最短直飞距离和最小转弯直径所形成的实时探测区，通过寻优算法确定预警机责任子区和相应的预警机巡逻可用空域，再基于预警机稳定覆盖度评估准则，对其空域配置进一步寻优，得到预警机空域配置优化方案。通过算例仿真验证了此种方法在不规则多边形责任区中规划预警机空域配置的可行性和提升作战效能的有效性，其方法具有较强的实用价值和军事价值。

关键词: 不规则多边形, 预警机, 责任子区, 可用空域, 作战效能

CLC Number:

TN95

Wei QI, Haijie WANG, Dongsheng CHENG, Aoyue ZHENG. Airspace Configuration Method of AWACS in Polygonal Responsibility Area in Air Defense Operations[J]. Modern Defense Technology, 2024, 52(1): 74-82.

祁炜, 王海杰, 程东升, 郑澳粤. 防空作战中多边形责任区预警机空域配置方法[J]. 现代防御技术, 2024, 52(1): 74-82.

Figures/Tables 17

Fig. 1 Patrol airspace diagram of AWACS

Fig. 2 Vertexes diagram of responsibility subarea

Fig. 3 Responsibility airspace distribution diagram of AWACS

Fig. 4 Available airspace distribution diagram of each AWACS for real-time detecting

Fig. 5 Optimal airspace configuration diagram of AWACS

Table 1 Step value setting of airspace configuration parameters of AWACS

含义	参数	值	含义	参数	值
初始阵位中心坐标步进值	$Δ x 1$ /km	10	直飞航线步进值	$δ d z_L$ /km	5
转弯直径步进值	$δ d z_W$ /km	5	初始航线倾角步进值	$α t u m_1$ /（°）	10
优化航线倾角步进值	$α t u m_2$ /（°）	5	矩阵法计算误差值	$Δ γ$	0.003
优化阵位中心坐标步进值	$Δ x 2$ /km	1

Table 1 Step value setting of airspace configuration parameters of AWACS

含义	参数	值	含义	参数	值
初始阵位中心坐标步进值	$Δ x 1$ /km	10	直飞航线步进值	$δ d z_L$ /km	5
转弯直径步进值	$δ d z_W$ /km	5	初始航线倾角步进值	$α t u m_1$ /（°）	10
优化航线倾角步进值	$α t u m_2$ /（°）	5	矩阵法计算误差值	$Δ γ$	0.003
优化阵位中心坐标步进值	$Δ x 2$ /km	1

Fig. 6 Airspace configuration diagram of early warning aircrafts

Table 2 Preliminary scheme for airspace configuration of AWACS

架次	航线中心点/km	航线倾角/（°）	W_Y /km	L_Y /km
1	（460，560）	20	15	50
2	（960，610）	20	15	50
3	（1 420，460）	-30	15	50

Fig. 7 Divided responsibility subarea diagram

Fig. 8 Available airspace distribution diagram of each AWACS

Fig. 9 Route optimization diagram of each AWACS

Table 3 Route optimization parameters of AWACS

架次	航线中心点/km	航线倾角/（°）	W_Y /km	L_Y /km
1	（452，542）	50	15	55
2	（955，619）	5	20	65
3	（1 357，498）	-90	20	70

Fig. 10 Simulation iteration times and coverage diagram

Fig. 11 Coverage diagram of simulation iteration times is 100

Fig. 12 Coverage diagram of simulation iteration times is 800

Fig. 13 Operational effectiveness diagram of simulation iteration times is 100

Fig. 14 Operational effectiveness diagram of simulation iteration times is 800

References 13

1	徐功康，刘栋，董晶，等. 预警机巡逻探测区域建模及效能分析［J］. 中国电子科学研究院学报， 2020， 15（5）： 470-476.
	XU Gongkang， LIU Dong， DONG Jing， et al. Modeling and Efficiency Analysis of Awacs Patrol Detection Area［J］. Journal of China Academy of Electronics and Information Technology， 2020， 15（5）： 470-476.
2	祁炜，李侠，蔡万勇，等. 预警机空域配置对责任区覆盖的影响［J］. 现代雷达， 2016， 38（11）： 7-10， 29.
	QI Wei， LI Xia， CAI Wanyong， et al. Effects of AEW Airspace Allocation for Covering Responsible Area［J］. Modern Radar， 2016， 38（11）： 7-10， 29.
3	祁炜，武文，郝延彪，等. 预警机巡逻航线样式规划模型及仿真分析［J］. 空军预警学院学报， 2019， 33（2）： 98-101.
	QI Wei， WU Wen， HAO Yanbiao， et al. AEW Aircraft Cruise Route Pattern Planning Model and Simulation Analysis［J］. Journal of Air Force Early Warning Academy， 2019， 33（2）： 98-101.
4	李相如，曹晨，罗琪楠. 预警机巡逻航线规划问题建模与仿真分析［J］. 中国电子科学研究院学报， 2021， 16（2）： 153-156.
	LI Xiangru， CAO Chen， LUO Qinan. Modeling and Simulation Analysis of Patrol Route Planning for AWACS［J］. Journal of China Academy of Electronics and Information Technology， 2021， 16（2）： 153-156.
5	祁炜，李侠. 空袭远距离支援干扰机阵位选择及航线规划［J］. 军事运筹与系统工程， 2016， 30（4）： 12-17.
	QI Wei， LI Xia. Station Selection and Flight Planning of the Air-Raid Distant Support Jamming Aircraft［J］. Military Operations Research and Systems Engineering， 2016， 30（4）： 12-17.
6	胡彪，黄志良，蒋苏蓉，等. 东海防空识别区管控预警机运用研究［J］. 舰船电子对抗， 2019， 42（3）： 34-37.
	HU Biao， HUANG Zhiliang， JIANG Surong， et al. Research Into the Application of Control Early Warning Aircraft to Air Defense Identification Zone in the East China Sea［J］. Shipboard Electronic Countermeasure， 2019， 42（3）： 34-37.
7	吴君辉，刘平，姬伟杰，等. 预警机反隐身优化组网模型研究［J］. 雷达科学与技术， 2017， 15（5）： 479-482.
	WU Junhui， LIU Ping， JI Weijie， et al. Research on Anti-Stealth Optimal Network Model of AWACS［J］. Radar Science and Technology， 2017， 15（5）： 479-482.
8	韩宇，马政伟，吉泽. 防空作战中航母编队预警机阵位配置［J］. 舰船电子工程， 2019， 39（7）： 18-22.
	HAN Yu， MA Zhengwei， JI Ze. Aircraft Carrier Formation Early Warning Aircraft Configuration in Air Defense Operations［J］. Ship Electronic Engineering， 2019， 39（7）： 18-22.
9	祁炜，李侠，蔡万勇，等. 防御作战中预警机阵位选择及航线规划［J］. 现代防御技术， 2016， 44（5）： 13-19.
	QI Wei， LI Xia， CAI Wanyong， et al. AEW Location Selection and Course Programming in Air Defense Combat［J］. Modern Defence Technology， 2016， 44（5）： 13-19.
10	祁炜，李侠，蔡万勇，等. 多预警机协同探测能力及航线规划［J］. 系统工程与电子技术， 2016， 38（12）： 2764-2768.
	QI Wei， LI Xia， CAI Wanyong， et al. Multi-AEW Cooperative Detection Capability and Flight Planning［J］. Systems Engineering and Electronics， 2016， 38（12）： 2764-2768.
11	王楚柯，陆安江，吴意乐. 自适应果蝇优化算法在WSN节点覆盖优化中的应用［J］. 微电子学与计算机， 2019， 36（2）： 11-15.
	WANG Chuke， LU Anjiang， WU Yile. Application of Adaptive Fruit Fly Optimization Algorithm in WSN Node Coverage Optimization［J］. Microelectronics & Computer， 2019， 36（2）： 11-15.
12	章磊，何芬，李鸿赟. 一种基于奇异射线法检测点在多边形内的方法［J］. 计算机应用研究， 2020， 37（增2）： 133-135.
	ZHANG Lei， HE Fen， LI Hongyun. Detection Method for Point Within Polygon Based on Singular Ray Method［J］. Application Research of Computers， 2020， 37（S2）： 133-135.
13	张青凤. 遗传算法在最优化问题中的应用研究［J］. 山西师范大学学报（自然科学版）， 2014， 28（1）： 38-42.
	ZHANG Qingfeng. The Application of Genetic Algorithm in Optimization Problems［J］. Journal of Shanxi Normal University（Natural Science Edition）， 2014， 28（1）： 38-42.

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