基于均匀设计试验法的电磁线圈发射关键参数优化

杨保成; 韩俊峰

doi:10.13700/j.bh.1001-5965.2023.0040

基于均匀设计试验法的电磁线圈发射关键参数优化

doi: 10.13700/j.bh.1001-5965.2023.0040

杨保成^,,
韩俊峰

四川工程技术大学，德阳 618000

详细信息

通讯作者:
E-mail：bch@scetc.edu.cn

中图分类号: TJ339
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- 文章访问数: 199
- HTML全文浏览量: 62
- PDF下载量: 15
- 被引次数: 0
出版历程
- 收稿日期: 2023-02-08
- 录用日期: 2023-07-07
- 网络出版日期: 2023-07-24
- 整期出版日期: 2025-02-28

Optimization of key parameters of electromagnetic coil launching based on uniform design experimentation

YANG Baocheng^,,
HAN Junfeng

Sichuan Polytechnic University，Deyang 618000，China

More Information

Corresponding author: E-mail：bch@scetc.edu.cn

摘要

摘要:
电磁线圈发射的出口速度及发射效率会受到发射系统结构参数和电路参数等关键参数的影响。为获得更高的出口速度和发射效率，根据电路原理和动力学原理建立电磁线圈垂直发射模型，并利用有限元仿真软件Ansoft Maxwell进行动态仿真。利用均匀设计试验法安排数次试验，研究了5级线圈发射系统的触发位置等关键参数对发射效率的影响。对仿真结果进行逐步回归分析，提出利用模拟退火算法对触发位置进行优化的方法，得到最佳触发控制策略。对所得触发位置进行仿真，发射效率达到56.27%，验证了所提优化方法的有效性，为大质量发射技术的优化提供参考。
- 电磁感应线圈发射 /
- Maxwell仿真 /
- 参数优化 /
- 均匀设计试验法 /
- 模拟退火算法
Abstract:
An electromagnetic coil launcher's muzzle velocity and launch efficiency are determined by critical system characteristics like circuit and structural design. To obtain higher muzzle velocity and launch efficiency, this article establishes an electromagnetic coil vertical launch model according to the circuit principle and dynamics principle and uses the finite element simulation software Ansoft Maxwell for dynamic simulation of the proposed model. Several experiments are conducted using the uniform experimental design method to examine the influence of key parameters, such as the trigger positions of the five-stage coil launcher system, on the launch efficiency. The simulated annealing algorithm is used to propose a method of optimizing the trigger sites and produce the ideal trigger sequence after the simulation results are assessed using the stepwise regression approach. Finally, the simulation is carried out based on the trigger positions obtained by the simulated annealing, and the launch efficiency of 56.27% is achieved. This result verifies the effectiveness of the proposed optimization method and provides a valuable reference for the optimization of high-mass launch technology in the future.
- electromagnetic induction coil launcher /
- Maxwell simulation /
- parameters optimization /
- uniform design experimentation /
- simulated annealing algorithm

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图 1 线圈发射系统结构示意图

Figure 1. Structure diagram of coil transmitting system

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图 2 Ansoft Maxwell模型示意图

Figure 2. Schematic diagram of Ansoft Maxwell model

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图 3 单级线圈驱动电路图

Figure 3. Drive circuit diagram of single-stage coil

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图 4 电磁力和速度曲线

Figure 4. Curves of electromagnetic force and velocity

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图 5 优化后的曲线

Figure 5. Curves after optimization

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表 1 发射系统结构参数^[15-16]

Table 1. Launch system structure parameters^[15-16]

参数	数值	参数	数值
驱动线圈内径/mm	830	电容值/mF	8
驱动线圈长度/mm	180	充电电压/kV	4.7
驱动线圈匝数	230	电容器电阻/mΩ	0.5
驱动线圈厚度/mm	100	电容器电感/μH	0.2
级间距/mm	20	回路电阻/mΩ	5
弹丸外径/mm	810	回路电感/μH	0.4
弹丸长度/mm	180	续流二极管电阻/mΩ	1
弹丸厚度/mm	80	续流二极管电感/μH	1
弹丸质量/kg	350

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表 2 5因素各水平数下均匀设计表的偏差^[18]

Table 2. Deviation of uniform design table under each level of five factors^[18]

水平数	偏差	水平数	偏差
11	0.4286	15	0.0072
12	0.2272	16	0.2070
13	0.3814	17	0
14	0

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表 3 均匀设计试验因素水平

Table 3. Factor level table for uniform design experimentation

水平数	${x_1}$/mm	$ {x_2} $/mm	${x_3}$/mm	${x_4}$/mm	${x_5}$/mm
1	95	0	0	0	0
2	102.5	5.5	12.5	12.5	12.5
3	115	11.25	25	25	25
4	127.5	16.75	37.35	37.5	37.5
5	140	22.5	50	50	50
6	152.5	28	62.5	62.5	62.5
7	165	33.75	75	75	75
8	177.5	39.25	87.5	87.5	87.5
9	190	45	100	100	100
10	202.5	50.5	112.5	112.5	112.5
11	215	56.25	125	125	125
12	227.5	61.75	137.5	137.5	137.5
13	240	67.5	150	150	150
14	252.5	73	162.5	162.5	162.5
15	265	78.75	175	175	175
16	277.5	84.25	187.5	187.5	187.5
17	290	90	200	200	200

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表 4 均匀设计试验安排

Table 4. Uniform design experiment schedule

试验编号	${x_1}$/mm	$ {x_2} $/mm	${x_3}$/mm	${x_4}$/mm	${x_5}$/mm
1	95	16.5	112.5	162.5	175
2	102.5	39.25	25	125	150
3	115	61.75	150	87.5	125
4	127.5	84.25	62.5	50	100
5	140	11.25	187.5	12.5	75
6	152.5	33.75	100	187.5	50
7	165	56.25	12.5	150	25
8	177.5	78.75	137.5	112.5	0
9	190	5.5	50	75	187.5
10	202.5	28	175	37.5	162.5
11	215	50.5	87.5	0	137.5
12	227.5	73	0	175	112.5
13	240	0	125	137.5	87.5
14	252.5	22.5	37.5	100	62.5
15	265	45	162.5	62.5	37.5
16	277.5	67.5	75	25	12.5
17	290	90	200	200	200

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表 5 均匀设计试验结果

Table 5. Uniform design experiment results

试验编号	最大发射速度/(m·s⁻¹)	试验编号	最大发射速度/(m·s⁻¹)	试验编号	最大发射速度/(m·s⁻¹)
1	3.52	7	36.51	13	34.61
2	9.94	8	33.82	14	36.20
3	36.6	9	36.33	15	31.86
4	36.3	10	34.86	16	31.93
5	36.63	11	34.97	17	22.10
6	37.19	12	35.66

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表 6 回归系数值

Table 6. Value of regression coefficients

${b_0}$	${b_1}$	${b_2}$	${b_3}$	${b_4}$	${b_5}$	${b_6}$	${b_7}$	${b_8}$	${b_9}$	${b_{10}}$
−46.6028	0.8001	−0.0845	0.0163	0.0107	0.1392	0.0002	0.0019	0.0001	−0.0020	0.0009

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表 7 优化后的触发位置

Table 7. Optimized trigger positions mm

x₁	x₂	x₃	x₄	x₅
155	185	247	312	379

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