邻近电感互耦的准方波脉冲形成网络设计

王传伟; 李洪涛

doi:10.11884/HPLPB202032.190429

邻近电感互耦的准方波脉冲形成网络设计

doi: 10.11884/HPLPB202032.190429

王传伟^{1, 2,},
李洪涛^1, ,

1.
中国工程物理研究院流体物理研究所，脉冲功率科学与技术重点实验室，四川绵阳 621900
2.
中国工程物理研究院研究生院，北京 100088

详细信息

作者简介:
王传伟（1983—），男，博士研究生，副研究员，从事固态脉冲功率技术及测控技术研究；250705799@qq.com

通讯作者:
李洪涛（1968—），男，博士，研究员，从事脉冲功率技术研究；lihongtao-ifp@caep.cn

中图分类号: TN784
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出版历程
- 收稿日期: 2019-11-17
- 修回日期: 2020-03-24
- 刊出日期: 2020-06-24

Design of square pulse forming network with adjacent mutual coupling inductors

Wang Chuanwei^{1, 2
,},
Li Hongtao^{1
, ,}

1.
Key Laboratory of Pulsed Power, Institute of Fluid Physics, CAEP, P.O. Box 919-107, Mianyang 621900, China
2.
Graduate School of China Academy of Engineering Physics, Beijing 100088, China

摘要

摘要: 针对小型化紧凑型脉冲源的应用需求，开展了电感存在互耦的准方波脉冲形成网络设计技术研究。首先介绍了基于坐标轮换-直接搜索法的准方波脉冲形成网络优化技术研究，获得了网络元件的电感、电容值以及准方波的解析表达式；然后推导了邻近电感互耦网络的等效去耦电路解算方法，基于回溯法，最终给出了全网络各元件值的求解算法；最后分别针对等电容情形及规定电容的情形，求解给出了网络元件参数值。算例结果表明：电感存在互耦的准方波脉冲形成网络可获得较理想的准方波脉冲输出。基于互耦电感的巧妙设计，有利于实现紧凑型准方波脉冲形成网络的设计。
- 准方波 /
- 脉冲形成网络 /
- 邻近电感互耦 /
- 坐标轮换法 /
- 回溯法 /
- 规定电容网络
Abstract: Considering the application requirement of compact and miniaturized pulse source, the design technique of the quasi-square wave pulse forming network with adjacent mutual coupling inductors is studied. Firstly, the network optimization technique based on the univariate search method is introduced, and the values of the inductance and capacitance and the analytical expressions of quasi-square wave are obtained. Then the equivalent decoupling circuit of the network with adjacent mutual coupling inductors is deduced. Based on the backtracking algorithm, the method for calculating the values of each element in the network is given. Finally, in cases of equal capacitance and constrained capacitance, the parameters of each element in the network are given. The numerical results show that the ideal quasi-square-wave pulse with a certain width flat-top can be produced by using the designed PFN with adjacent mutual coupling inductors. The ingenious design based on mutual coupling inductance is beneficial to the design of compact quasi-square wave pulse forming network.
- trapezoidal pulse /
- pulse forming network /
- mutual coupling effect of adjacent inductors /
- univariate search technique /
- backtracking algorithm /
- PFN with constrained capacitors

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图 1 B型脉冲形成网络模型及其优化输出波形

Figure 1. Type B PFN model and its output waveform

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图 2 目标函数值随迭代计算次数的变化曲线

Figure 2. Relation between objective function value and iteration times

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图 3 优化后输出波形

Figure 3. Output waveform with optimization

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图 4 邻近电感互耦的B型PFN

Figure 4. Type B PFN with adjacent mutual coupling inductors

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图 5 T型三端网络解耦前后电路构型

Figure 5. Circuit model of T-type three-terminal network

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图 6 邻近电感互耦的B型PFN解耦后电路构型

Figure 6. Equivalent decoupling circuit model of type B PFN with adjacent mutual coupling inductors

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图 7 回溯算法计算过程示意图

Figure 7. Diagrammatic sketch of computational process with backtracking algorithm

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图 8 电容值误差分布

Figure 8. Capacitance error distribution

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表 1 五节B型脉冲形成网络元件参数

Table 1. Parameters of devices in 5-stage B-type PFN

No. of stage	L/μH	C/μF
1	0.126 7	0.066 7
2	0.058 6	0.057 9
3	0.059 6	0.063 0
4	0.068 4	0.077 6
5	0.095 3	0.145 0

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表 2 电容相等时邻近电感互耦的五节B型网路元件参数

Table 2. Parameters of devices in 5-stage B-type PFN with equal capacitors and adjacent mutual coupling inductors

coupling type	C/μF	L₁/μH	L₂/μH	L₃/μH	L₄/μH	L₅/μH	M₁/μH	M₂/μH	M₃/μH	M₄/μH
in-phase	0.098 378	0.149 565	0.075 587	0.073 823	0.076 589	0.087 982	0.007 871	0.012 273	0.011 811	0.009 485
out of phase	0.098 378	0.750 737	0.300 062	0.033 790	0.047 048	0.088 280	0.422 768	0.009 909	0.011 049	0.018 127

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表 3 电容不等时邻近电感互耦的5节B型网路元件参数

Table 3. Parameters of devices in 5-stage B-type PFN with constrained capacitors and adjacent mutual coupling inductors

coupling type	L₁/μH	L₂/μH	L₃/μH	L₄/μH	L₅/μH	M₁/μH	M₂/μH	M₃/μH	M₄/μH
in-phase	0.149 773	0.074 779	0.074 281	0.079 481	0.089 813	0.008 815	0.007 703	0.016 160	0.014 501
out of phase	0.740 300	0.295 738	0.034 265	0.044 260	0.091 035	0.415 044	0.012 123	0.009 084	0.013 038

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