Design of two-stage square pulse forming network with coupling inductors
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摘要: 针对小型化紧凑型脉冲源的应用需求，开展了基于互耦电感的两节准方波脉冲形成网络设计技术研究。首先介绍了两节脉冲形成网络互耦电感解耦的条件，并根据常用的三种脉冲形成网络模型运用拉普拉斯变换推导出了相应的输出脉冲电流表达式，并利用准方波的Prony级数表达式，通过求解非线性方程组获得了准方波脉冲的解析表达式，进一步求解出各网络元件的参数。然后研究了电感耦合系数在电路中的影响，提出了利用互耦电感设计准方波脉冲形成网络的方法。模拟仿真结果表明：基于互耦电感的两节脉冲形成网络可获得输出波形质量较好的准方波脉冲输出。利用互耦电感这一巧妙设计，可以较方便地实现准方波脉冲形成网络的设计。Abstract: For the application demand of compact and miniaturized pulse source, the design technique of two-stage square pulse forming network(PFN) with mutual coupling inductors is developed. First, the decoupling conditions of this PFN are introduced. The corresponding output current expressions are derived using Laplace transform in the three commonly used network configurations. By using the Prony series expression of square pulse, the analytic expression is obtained by solving the nonlinear equations, and the parameters of each network element are worked out. The influence of the coupling inductors' coefficient in the circuit is studied. Then, the design method of two-stage PFN with mutual coupling inductors is proposed. The simulation results show that the output pulse with a certain width flat-top can be produced by using the designed PFN. With the ingenious design of mutual coupling inductors, the PFN producing square pulse can be conveniently realized.
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Key words:
- square pulse /
- two-stage PFN /
- mutual coupling inductors /
- low-impedance PFN /
- uniform capacitor
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图 1 常用的两节脉冲形成网络拓扑结构
Figure 1. Model of commonly used two-stage pulse forming network(PFN)
图 2 4级Prony级数拟合的准方波波形
Figure 2. Quasi-rectangular pulses fitted by 4-stage Prony series
图 3 A型网络电感正反相耦合时各元件参数随电感耦合系数的变化关系
Figure 3. Relationship between coupling coefficient of inductors and parameters of elements in type A PFN
图 4 B型网络电感正反相耦合时各元件参数随电感耦合系数的变化关系
Figure 4. Relationship between coupling coefficient of inductors and parameters of elements in type B PFN
图 5 C型网络电感正反相耦合时各元件参数随电感耦合系数的变化关系
Figure 5. Relationship between coupling coefficient of inductors and parameters of elements in type C PFN
表 1 输出电流脉冲表达式系数
Table 1. Coefficients of output current express
type a b c d e f A (L1L2－M2)C1C2 RloadC1L2C2 L2C2+(L1+L2±2M)C1 RloadC1 L2C1C2 C1 B (L1L2－M2)C1C2 RloadC1L2C2 L1C1+
(L1+L2±2M)C2Rload(C1+C2) L2C1C2 C1+C2 C C1C2L1(L2±M)∓
C1C2M(L1±M)RloadC2C1×
(L1+L2±2M)L1C1+L2C2 Rload(C1+C2) C1C2×
(L1+L2±2M)C1+C2 
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表 2 两级脉冲形成网络元件参数设计值
Table 2. Designed parameter values of components in the two-stage PFN
type ε L′1 L′2 C′1 C′2 A 0.010 0
0.000 10.266 50
0.311 810.062 80
0.052 330.407 60
0.388 570.271 10
0.300 80B 0.010 0
0.000 10.266 50
0.311 810.174 30
0.164 730.162 80
0.169 550.244 80
0.219 03C 0.010 0
0.000 10.348 40
0.377 821.138 00
1.785 500.395 80
0.381 150.011 80
0.007 42
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[1] 李志强, 杨建华, 张建德, 等. 紧凑重频PFN-Marx脉冲发生器[J]. 强激光与粒子束, 2016, 28: 015013. doi: 10.11884/HPLPB201628.015013Li Zhiqiang, Yang Jianhua, Zhang Jiande, et al. A compact repetitive PFN-Marx generator. High Power Laser and Particle Beams, 2016, 28: 015013 doi: 10.11884/HPLPB201628.015013 [2] 黄华, 范植开, 马乔生, 等. 长脉冲相对论速调管放大器的初步实验研究[J]. 强激光与粒子束, 2002, 14(6): 915-919. http://www.hplpb.com.cn/article/id/1409Huang Hua, Fan Zhikai, Ma Qiaosheng, et al. Progress on a long pulse relativistic klystron amplifier. High Power Laser and Particle Beams, 2002, 14(6): 915-919 http://www.hplpb.com.cn/article/id/1409 [3] 田锦昌, 宋小泉, 李自良. HPM脉冲形成网络的理论分析与计算[J]. 飞行器测控学报, 2003, 22(3): 72-74.Tian Jinchang, Song Xiaoquan, Li Ziliang. Theoretical analysis and calculation of HPM pulse forming network. Journal of Spacecraft TT&C Technology, 2003, 22(3): 72-74 [4] 吴谨, 万重怡. 紫外预电离TE(A)CO2激光器自持辉光放电的阻抗计算[J]. 激光杂志, 2002, 23(2): 15-17. https://www.cnki.com.cn/Article/CJFDTOTAL-JGZZ200202005.htmWu Jin, Wan Chongyi. Calculation of the glow discharge impedance of a UV-preionized self-sustained TE(A) CO2 laser. Laser Journal, 2002, 23(2): 15-17 https://www.cnki.com.cn/Article/CJFDTOTAL-JGZZ200202005.htm [5] 东冲. 线型脉冲调制器理论基础与专用电路[M]. 北京: 国防工业出版社, 1978.Dong Chong. Theory and circuit for special use of linear pulse modulator. Beijing: National Defense Industry Press, 1978 [6] Kim A A, Mazarakis M G, Sinebryukhov V A, et al. Square pulse linear transformer driver[J]. Physical Review Special Topics—Accelerators and Beams, 2012, 15: 040401. doi: 10.1103/PhysRevSTAB.15.040401 [7] 王传伟, 李洪涛. 准方波脉冲形成网络的理论分析与设计[J]. 强激光与粒子束, 2018, 30: 035005. doi: 10.11884/HPLPB201830.170392Wang Chuanwei, Li Hongtao. Theoretical analysis and design of the trapezoidal pulse forming network. High Power Laser and Particle Beams, 2018, 30: 035005 doi: 10.11884/HPLPB201830.170392 [8] 潘子龙, 杨建华, 程新兵. 两节反谐振式网络输出方波脉冲的参数计算[J]. 强激光与粒子束, 2016, 28: 045008. doi: 10.11884/HPLPB201628.125008Pan Zilong, Yang Jianhua, Cheng Xinbing. Parameter calculation of square pulse output in two-node anti-resonance network. High Power Laser and Particle Beams, 2016, 28: 045008 doi: 10.11884/HPLPB201628.125008 [9] 曾凡刊. 网络分析与综合原理[M]. 武汉: 华中理工大学出版社, 1990: 190-194.Zeng Fankan. Network analysis and synthesis theory. Wuhan: Huazhong University of Science and Technology Press, 1990: 190-194 [10] 刘锡三. 高功率脉冲技术[M]. 北京: 国防工业出版社, 2005: 139-144.Liu Xisan. High pulsed power technology. Beijing: National Defense Industry Press, 2005: 139-144 -
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