基于单纯形优化法的准方波脉冲形成网络设计

王传伟; 李洪涛

doi:10.11884/HPLPB202032.190374

基于单纯形优化法的准方波脉冲形成网络设计

doi: 10.11884/HPLPB202032.190374

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

基金项目: 中国工程物理研究院院长基金项目(YZJJLX2016002)

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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- 被引次数: 0
出版历程
- 收稿日期: 2019-09-20
- 修回日期: 2020-03-24
- 刊出日期: 2020-05-12

Design of trapezoidal pulse forming network based on simplex optimization method

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: 脉冲形成网络常用于大功率固态调制器、微波驱动源以及激光激励源中，以便获取宽平顶的高压长脉冲输出。针对常用的雷利网络，根据宽平顶低纹波的应用需求，开展了优化设计技术研究，提出了基于单纯形优化法的设计算法。主要针对两种情形进行了优化设计及计算：一是电容值相等，通过优化电感值以获取最优的输出波形；二是约定电容值（电容值不完全相等），通过优化计算不同电容排列下的输出结果，寻求最优的电容排列组合及相应的优化电感值。上述优化算法结果表明，在两种情形下均可以获得较优的准方波脉冲输出，可以为准方波脉冲形成网络的工程实现提供一种新的方法。理论计算和电路仿真结果表明，所提出的方法合理可行。
- 准方波 /
- 脉冲形成网络 /
- 单纯形优化法 /
- 等电容网络 /
- 规定电容网络 /
- 低纹波
Abstract: Pulse forming network (PFN) is often used in high-power solid-state modulator, microwave driver and laser exciter to obtain high voltage and long pulse output with wide flat-top. Aiming at the common used Rayleigh PFN with equal inductor and capacitor, according to the application requirement of wide flat-top and low ripple, the optimal design technology of PFN is studied, and the optimization algorithm based on simplex optimization method is proposed. The work is mainly carried out in two cases: first, the capacitance is uniform, and the optimal output performance is obtained by optimizing the inductance value; second, the capacitors are constrained, and through optimizing the inductance values under different capacitance arrangement, the optimal capacitance arrangement and the corresponding inductance value are worked out. The optimization results show that the quasi-square-wave pulse output can be obtained in both cases. A new method for design and engineering implementation of quasi-square-wave PFN can be provided. The theoretical calculation and circuit simulation results indicate that the proposed method is reasonable and practicable.
- trapezoidal pulse /
- PFN /
- simplex optimization method /
- PFN with equal capacitors /
- PFN with constrained capacitors /
- low ripple

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图 1 雷利脉冲形成网络模型及其输出波形

Figure 1. Rayleigh PFN model and its output waveform

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图 2 单纯形优化算法流程

Figure 2. Flow-process diagram of simplex optimization algorithm

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图 3 部分等电容网络优化计算波形

Figure 3. Output waveforms of 4，6，7，9，10 stages PFN with equal capacitors and optimized inductances

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图 4 5节和8节等电容网络优化前后波形

Figure 4. Output detailed waveforms of 5-stage and 8-stage PFN

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图 5 优化后波形特征

Figure 5. Wave characteristics after optimization

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图 6 规定电容网络优化输出波形

Figure 6. Output waveforms of the optimal PFN with five specified capacitors

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表 1 等电容网络电感优化设计值

Table 1. Design value of inductance in PFN with equal capacitors

N	C/μF	L₁/μH	L₂/μH	L₃/μH	L₄/μH	L₅/μH	L₆/μH	L₇/μH	L₈/μH
5	0.1	0.170 641	0.096 995	0.101 312	0.099 474	0.089 529	——	——	——
8	0.062 5	0.108 705	0.060 251	0.063 122	0.062 530	0.062 375	0.061 563	0.076 282	0.000 026

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表 2 基于5只电容的脉冲形成网络优化后元件参数

Table 2. Parameters of the optimized inductances of PFN with five specified capacitors

No.	C₁/μF	C₂/μF	C₃/μF	C₄/μF	C₅/μF	L₁/μH	L₂/μH	L₃/μH	L₄/μH	L₅/μH
1	0.092 8	0.087 5	0.097 0	0.109 0	0.114 0	0.168 2	0.085 92	0.091 10	0.105 4	0.096 49
2	0.092 8	0.087 5	0.097 0	0.114 0	0.109 0	0.168 4	0.085 93	0.090 94	0.106 7	0.102 2
3	0.087 5	0.092 8	0.109 0	0.097 0	0.114 0	0.145 8	0.087 11	0.099 80	0.118 4	0.053 55
4	0.087 5	0.092 8	0.109 0	0.114 0	0.097 0	0.146 2	0.087 04	0.099 58	0.121 7	0.060 45

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