同轴脉冲形成线的运输振动环境适应性研究

范红艳; 王俊杰; 刘胜; 张雪飞; 孙旭; 王刚; 寇磊; 候振园

doi:10.11884/HPLPB202133.210067

同轴脉冲形成线的运输振动环境适应性研究

doi: 10.11884/HPLPB202133.210067

1.
西北核技术研究所，西安 710024
2.
北京正阳恒卓科技有限公司，北京 100032
3.
西安交通大学，西安 710049

基金项目: 国家技术创新类项目

详细信息

作者简介:
范红艳（1988—），女，硕士，工程师，从事脉冲功率技术研究

中图分类号: TN782
计量
- 文章访问数: 862
- HTML全文浏览量: 266
- PDF下载量: 39
- 被引次数: 0
出版历程
- 收稿日期: 2021-03-08
- 修回日期: 2021-05-15
- 网络出版日期: 2021-05-17
- 刊出日期: 2021-05-20

Research on transportation vibration environmental adaptability of coaxial pulse forming line

1.
Northwest Institute of Nuclear Technology, Xi’an 710024, China
2.
Beijing Zhengyang Hengzhuo Technology Co., Ltd., Beijing 100032, China
3.
Xi’an Jiaotong University, Xi’an 710049, China

摘要

摘要: 为了准确评估某MV级Tesla型脉冲功率源的运输振动环境适应性水平，针对脉冲功率源中采用悬臂绝缘支撑结构的同轴脉冲形成线，通过仿真和试验结合的方法开展研究。针对叠层结构式内外磁芯，提出一种通过结构元胞等效材料参数和坐标变换的等效建模方法进行有限元建模，通过模态试验修正有限元模型，首次对比研究了绝缘油对形成线的模态频率和阻尼的影响，仿真分析了形成线车载运输典型工况的应力及响应，设计实施了大尺寸形成线等效件振动试验进行验证。通过振动试验发现了形成线结构存在非线性，通过仿真分析和等效件试验验证，同轴脉冲形成线现有结构设计基本满足车载运输振动环境适应性要求。
- 同轴脉冲形成线 /
- 内外磁芯 /
- 绝缘油 /
- 非线性 /
- 运输振动 /
- 环境适应性
Abstract: To evaluate the vibration environmental adaptability of Tesla-type pulse generator under vehicle transportation condition, simulation and verification test were carried out for the coaxial pulse forming line (PFL) with cantilever support insulators. An equivalent modeling was proposed for the inner and outer magnetic cores with laminated structure. The finite element model was modified according to the modal test results. Thus the effect of insulating oil on the modal frequency and damping of the PFL was studied, the stress and response of PFL under typical transportation conditions were obtained by simulation, and the vibration test of PFL equivalent parts was conducted to verify the simulation result. It was found that the structure of the PFL were nonlinear in the vibration test. The simulation analysis and the vibration test of equivalent parts verify that the existing structure of the coaxial PFL meets the requirements of vehicle transportation vibration environmental adaptability.
- coaxial PFL /
- inner and outer magnetic cores /
- insulating oil /
- nonlinear /
- transportation vibration /
- environmental adaptability

HTML全文

图 1 同轴结构二倍宽脉冲形成线结构示意图

Figure 1. Structure diagram of coaxial duple-width PFL

下载: 全尺寸图片幻灯片

图 2 研究思路

Figure 2. Research flow chart

下载: 全尺寸图片幻灯片

图 3 内磁芯结构示意图

Figure 3. Structure diagram of inner magnetic core

下载: 全尺寸图片幻灯片

图 4 内磁芯结构元胞示意图

Figure 4. Structure diagram of inner magnetic core cell

下载: 全尺寸图片幻灯片

图 5 内磁芯几何模型及材料坐标系

Figure 5. Geometric model and local coordinate system of inner magnetic core

下载: 全尺寸图片幻灯片

图 6 外磁芯几何模型及材料坐标系

Figure 6. Geometric model and local coordinate system of outer magnetic core

下载: 全尺寸图片幻灯片

图 7 形成线组件模态实验照片

Figure 7. Photo of PFL modal test

下载: 全尺寸图片幻灯片

图 8 形成线有限元模型及固支边界

Figure 8. Finite element model of PFL under clamped boundary condition

下载: 全尺寸图片幻灯片

图 9 车载运输环境典型工况激励谱

Figure 9. Excitation spectrum of typical working conditions of vehicle transportation environment

下载: 全尺寸图片幻灯片

图 10 尾端绝缘子应力云图（轮式车辆运输垂向）

Figure 10. Contour curve of tail insulator (wheel vehicle transportation along the vertical direction)

下载: 全尺寸图片幻灯片

图 11 形成线等效件结构

Figure 11. Equivalent structure of PFL

下载: 全尺寸图片幻灯片

图 12 形成线等效件振动试验

Figure 12. Vibration test of PFL equivalent parts

下载: 全尺寸图片幻灯片

图 13 运输前输出脉冲波形

Figure 13. Output pulse waveform before transportation

下载: 全尺寸图片幻灯片

图 14 运输后输出脉冲波形（3000 km，高速公路）

Figure 14. Output pulse waveform after transportation (3000 km, highway)

下载: 全尺寸图片幻灯片

表 1 结构元胞的等效材料参数

Table 1. Equivalent material parameters of structure cell

E₁ / GPa	E₂ / GPa	E₃ / GPa	V₁₂	V₁₃	V₂₃	G₁₂ / GPa	G₁₃ / GPa	G₂₃ / GPa
152	152	14.10	0.29	0.28	0.28	60.50	11.03	11.03

下载: 导出CSV

表 2 形成线模态分析结果

Table 2. Modal analysis results of PFL

mode	frequency/Hz	modal shape
1	24.36	lateral bending of inner conductor （x direction）
2	24.41	vertical bending of inner conductor （y direction）
3	34.05	bending of inner conductor along the z direction
4	43.53	twisting of inner conductor around the z-axis

下载: 导出CSV

表 3 形成线两种状态模态试验结果对比

Table 3. Modal test results of PFL under two different conditions

mode	modal shape	frequency （oil-free）/Hz	frequency （full of oil）/Hz	damping coefficient （oil-free）/%	damping coefficient （full of oil）/%
1	lateral bending of inner conductor （x direction）	33.38	18.03	1.71	5.89
2	vertical bending of inner conductor （y direction）	37.80	18.92	1.30	10.61
3	bending of inner conductor along the z direction	57.43	42.64	1.10	7.96
4	twisting of inner conductor around the z-axis	42.35	51.62	1.50	6.63

下载: 导出CSV

表 4 形成线仿真频率与试验频率对比（有油）

Table 4. Contrast between simulation frequency and measured frequency of PFL (full of oil)

mode	modal shape	simulation frequency/Hz	measured frequency/Hz	error/%
1	lateral bending of inner conductor （x direction）	24.36	18.03	25.99
2	vertical bending of inner conductor （y direction）	24.41	18.92	22.49
3	bending of inner conductor along the z direction	34.05	42.64	−25.23
4	twisting of inner conductor around the z−axis	43.53	51.62	−18.58

下载: 导出CSV

表 5 试验频率与修正模型计算频率对比（有油）

Table 5. Contrast between measured frequency and simulation frequency of modified model (full of oil)

mode	modal shape	measured frequency/Hz	modified simulation frequency/Hz	error/%
1	lateral bending of inner conductor （x direction）	18.03	18.95	5.10
2	vertical bending of inner conductor （y direction）	18.92	19.02	0.53
3	bending of inner conductor along the z direction	42.64	30.61	−14.61
4	twisting of inner conductor around the z−axis	51.62	46.16	−10.58

下载: 导出CSV

表 6 计算结果汇总（车载运输环境）

Table 6. Calculation results (vehicle transportation condition)

condition	maximum acceleration （middle conductor）/g	maximum dynamic stress/MPa	total stress/ MPa	maximum stress （tail insulator）/MPa
highway transportation（vertical）	1.95	50.08	223.08	27.78
wheel vehicle transportation（vertical）	2.40	73.46	246.46	40.99
impact（20g，vertical）	39.95	60.22	233.22	33.67

下载: 导出CSV

表 7 中筒尾端响应加速度汇总表

Table 7. Response acceleration summary of middle conductor

test condition	longitudinal acceleration/g	vertical acceleration/g	lateral acceleration/g
highway transportation	1.34	2.01	0.53
wheel vehicle transportation	1.76	2.05	2.66
impact（5g）	9.41	13.11	8.44
Note：The results of highway and wheel vehicle transportation tests were root mean square values.

下载: 导出CSV

表 8 横向（z向）不同量级扫频振动试验内筒上测点的一阶响应频率

Table 8. First mode frequency of inner conductor under different magnitudes of sine sweep tests (z direction)

magnitude/(g²·Hz⁻¹)	response frequency/Hz
0.001	26
0.000 1	26
0.000 01	30
0.000 001	30
0.000 000 1	31

下载: 导出CSV

参考文献(16)

[1]	彭建昌, 苏建仓, 张喜波, 等. 20 GW/100 Hz脉冲功率源研制[J]. 强激光与粒子束, 2011, 23(11):2919-2924. (Peng Jiancang, Su Jiancang, Zhang Xibo, et al. Development of 20 GW/100 Hz repetitive pulsed accelerator[J]. High Power Laser and Particle Beams, 2011, 23(11): 2919-2924 doi: 10.3788/HPLPB20112311.2919
[2]	石磊, 朱郁丰, 卢彦雷, 等. 紧凑Tesla变压器型纳秒脉冲源[J]. 强激光与粒子束, 2014, 26:125001. (Shi Lei, Zhu Yufeng, Lu Yanlei, et al. Compact GW nanosecond pulse generator based on Tesla transformer[J]. High Power Laser and Particle Beams, 2014, 26: 125001 doi: 10.11884/HPLPB201426.125001
[3]	Li Rui, Su Jiancang, Zeng Bo, et al. 5-GW Tesla-type pulse generator based on a mixed pulse-forming line[J]. Review of Scientific Instruments, 2020, 91: 074710. doi: 10.1063/5.0008970
[4]	张喜波, 苏建仓, 潘亚峰, 等. 倍宽脉冲形成线[C]//第四届全国脉冲功率会议. 2015: A38. Zhang Xibo, Su Jiancang, Pan Yafeng, et al. Multiple-width pulse forming lines[C]//4^th Chinese Pulse Power Conference. 2015: A38.
[5]	Liu Sheng, Su Jiancang, Zhang Xibo, et al. A Tesla-type long-pulse generator with wide flat-top width based on a double-width pulse-forming line[J]. Laser and Particle Beams, 2018, 36(1): 115-120. doi: 10.1017/S0263034618000034
[6]	范红艳, 张喜波, 刘胜, 等. Tesla型脉冲功率源随机振动响应分析[J]. 现代应用物理, 2018, 9:031003. (Fan Hongyan, Zhang Xibo, Liu Sheng, et al. Random vibration analysis of Tesla-type pulse generator[J]. Modern Applied Physics, 2018, 9: 031003
[7]	杨万理, 李乔. 深水桥梁墩-水耦合作用计算模式对比研究[J]. 世界桥梁, 2012, 40(2):46-50. (Yang Wanli, Li Qiao. Comparative study of pier-water interaction calculation model of deep water bridge[J]. World Bridges, 2012, 40(2): 46-50
[8]	Xu Kunpeng, Sun Wei, Gao Junnan. Mistuning identification and model updating of coating blisk based on modal test[J]. Mechanical Systems and Signal Processing, 2019, 121: 299-321. doi: 10.1016/j.ymssp.2018.11.029
[9]	龙吟, 任晓辉, 张珂, 等. 基于模态实验的轨道牵引电机整机有限元模型的建立[J]. 铁道科学与工程学报, 2019, 16(6):1553-1559. (Long Yin, Ren Xiaohui, Zhang Ke, et al. Finite element modeling of rail traction motor based on modal experiments[J]. Journal of Railway Science and Engineering, 2019, 16(6): 1553-1559
[10]	杜平安, 于亚婷, 刘建涛. 有限元法——原理、建模及应用[M]. 北京: 国防工业出版社, 2004. Du Pingan, Yu Yating, Liu Jiantao. Finite element method—principle, modeling and application[M]. Beijing: National Defense Industry Press, 2004.
[11]	任超, 陈建均, 潘红良. 随机短纤维增强复合材料弹性模量预测模型[J]. 复合材料学报, 2012, 29(4):191-194. (Ren Chao, Chen Jianjun, Pan Hongliang. Prediction model for elastic modulus of random short fiber reinforced composite[J]. Acta Materiae Compositae Sinica, 2012, 29(4): 191-194
[12]	常熠存, 耿悦, 王玉银, 等. 基于两相复合材料的再生混凝土弹性模量预测模型[J]. 建筑结构学报, 2020, 41(12):165-173. (Chang Yicun, Geng Yue, Wang Yuyin, et al. Models of elastic modulus for concrete made with recycled coarse aggregate based on two-phase composite material[J]. Journal of Building Structures, 2020, 41(12): 165-173
[13]	闫小乐, 谷立臣. 液压系统油液有效体积模量的在线软测量[J]. 机械工程学报, 2011, 47(10):126-132. (Yan Xiaole, Gu Lichen. Online measurement of effective bulk modulus in hydraulic system by the soft-sensing model[J]. Journal of Mechanical Engineering, 2011, 47(10): 126-132 doi: 10.3901/JME.2011.10.126
[14]	Gholizadeh H, Burton R, Schoenau G. Fluid bulk modulus: A literature survey[J]. International Journal of Fluid Power, 2011, 12(3): 5-15. doi: 10.1080/14399776.2011.10781033
[15]	王在铎, 马斌捷, 贾亮, 等. 水下附加质量及阻尼的试验研究[J]. 强度与环境, 2018, 45(3):15-19. (Wang Zaiduo, Ma Binjie, Jia Liang, et al. Experimental study of added mass and damping in water[J]. Structure and Environment Engineering, 2018, 45(3): 15-19
[16]	钱志英, 韩世泽, 马为佳, 等. 航天器振动试验中的频率漂移现象研究[J]. 航天器环境工程, 2018, 35(4):342-347. (Qian Zhiying, Han Shize, Ma Weijia, et al. Natural frequency drift in the vibration test of spacecraft[J]. Spacecraft Environment Engineering, 2018, 35(4): 342-347 doi: 10.12126/j.issn.1673-1379.2018.04.006