Calculation of Torpedo Discovery Probability by Combining Analytical and Simulation Methods
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摘要: 解析法和模拟法是计算声自导鱼雷发现概率的常用方法, 解析法速度较快, 但只适用于部分参数误差类型, 模拟法适用于所有参数误差类型, 但计算效率较低。针对此, 提出一种解析法与模拟法相结合的发现概率计算方法, 首先基于模拟法的思想求解参数遮盖区间, 然后在此基础上利用解析法计算发现概率, 在保证精度的同时明显提高了计算效率, 最后通过仿真验证所提算法的有效性。Abstract: The analytical method and simulation method are commonly used to calculate the probability of torpedo discovery. The analytical method has a fast speed, but it is only applicable to some parameter error types. The simulation method is applicable to all parameter error types, but the computational efficiency is low. To address this issue, a discovery probability calculation method combining analytical and simulation methods is proposed. Firstly, the parameter masking interval is solved based on the idea of simulation methods. Then, the discovery probability is calculated using analytical methods, which significantly improves computational efficiency while ensuring accuracy. Finally, the effectiveness of the proposed algorithm is verified through simulation.
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Key words:
- Favorable lead angle /
- Acoustic homing torpedo /
- Coordinate method /
- Maximum capture time
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表 1 不同方法的仿真时间对比
Table 1. Comparison of simulation time for different methods
误差类型 参数区间 时间/s 模拟法 结合法 目标速度误差 [19 kn, 31 kn] 663.5 39.9 自导距离误差 [600 m, 2 400 m] 660.6 12.1 目标舷角误差 [60°, 120°] 661.4 39.7 -
[1] 孟庆玉, 张静远, 宋保维. 鱼雷作战效能分析[M]. 北京: 国防工业出版社, 2003. [2] 孙华春, 张会, 李长文. 声自导鱼雷射击的有利提前角优化模型[J]. 舰船电子工程, 2011, 31(8): 40-51. doi: 10.3969/j.issn.1627-9730.2011.08.011SUN C H, ZHANG H, LI C W. Optimization of lead angle for acoustic homing torpedo[J]. Ship Electronic Engineering, 2011, 31(8): 40-51. doi: 10.3969/j.issn.1627-9730.2011.08.011 [3] 李长文, 任行者. 计算声自导鱼雷直进射击成功概率的解析方法[J]. 指挥控制与仿真, 2009, 31(1): 54-57. doi: 10.3969/j.issn.1673-3819.2009.01.015LI C W, REN X Z. Analytic method for computing the successful probability of straight- forward shooting by sound-guided torpedo[J]. Command Control & Simulation, 2009, 31(1): 54-57. doi: 10.3969/j.issn.1673-3819.2009.01.015 [4] 袁富宇, 代志恒, 肖碧琴. 基于误差折算的鱼雷一次转角射击命中/发现概率解析计算方法[J]. 水下无人系统学报, 2020, 28(3): 303-308. doi: 10.11993/j.issn.2096-3920.2020.03.010YUAN F Y, DAI Z H, XIAO B Q. An analytical calculation mothed of the hitting/finding probability of torpedo one-time turning-angle shooting based on error conversion[J]. Journal of Unmanned Undersea Systems, 2020, 28(3): 303-308. doi: 10.11993/j.issn.2096-3920.2020.03.010 [5] 张祥甫, 闫少坤. 基于误差融合的自导鱼雷发现概率解析方法研究[J]. 指挥控制与仿真, 2022, 44(2): 49-53. doi: 10.3969/j.issn.1673-3819.2022.02.010ZHANG X F, YAN S K. Research on analytical method of homing torpedo discovery probability based on error fusion[J]. Command Control & Simulation, 2022, 44(2): 49-53. doi: 10.3969/j.issn.1673-3819.2022.02.010 [6] 谢超, 周景军, 万亚民, 等. 超空泡鱼雷双雷齐射命中概率解析方法 [J]. 水下无人系统学报, 2023, 31(3): 463-473.XIE C, ZHOU J J, WAN Y M, et al. Analytical method for hitting probability of supercavitating torpedo salvo[J]. Journal of Unmanned Undersea Systems, 31(3): 463-473. [7] 李长军, 于雪泳. 采用模拟法计算空投鱼雷反潜命中概率问题[J]. 火力与指挥控制, 2008, 33(3): 131-134. doi: 10.3969/j.issn.1002-0640.2008.03.037LI C J, YU X Y. Research on hit probability of airborne anti-submarine torpedo using simulation method[J]. Fire Control & Command Control, 2008, 33(3): 131-134. doi: 10.3969/j.issn.1002-0640.2008.03.037 [8] 杨绪升, 刘建兵, 周庆飞. 声自导鱼雷射击诸元及误差对其捕获概率的影响[J]. 指挥控制与仿真, 2009, 31(5): 93-97. doi: 10.3969/j.issn.1673-3819.2009.05.024YANG X S, LIU J B, ZHOU Q F. Effect on acoustic homing torpedo capture probability of fire elements and errors[J]. Command Control & Simulation, 2009, 31(5): 93-97. doi: 10.3969/j.issn.1673-3819.2009.05.024 [9] 杨绪升, 尹文进. 基于潜射自导鱼雷射击优化模型的发现概率仿真计算[J]. 水下无人系统学报, 2018, 26(6): 568-574.YANG X S, YIN W J. Simulation on detection probability of submarine-launched homing torpedo based on the optimized firing model[J]. Journal of Unmanned Undersea Systems, 2018, 26(6): 568-574. [10] 曹萌, 赵琪, 蒋继军. 基于模拟法的反鱼雷鱼雷武器系统作战效能评估[J]. 水下无人系统学报, 2020, 28(5): 563-570.CAO M, ZHAO Q, JIANG J J. Operational effectiveness evaluation of anti-torpedo torpedo weapon system based on simulation[J]. Journal of Unmanned Undersea Systems, 2020, 28(5): 563-570. -