The Electromagnetic Characteristics of the Four-Stage Series-Connected Fast Linear Transformer Driver Based on Time-Domain Finite Integration Technique
Qiu Hao1,2, Wang Shuhong1,2, Sun Fengju3, Wang Zhiguo1,3, He Xu1
1. State Key Laboratory of Electrical Insulation and Power Equipment Xi’an Jiaotong University Xi’an 710049 China; 2. Shaanxi Key Laboratory of Smart Grid Xi’an Jiaotong University Xi’an 710049 China; 3. State Key Laboratory of Intense Pulsed Radiation Simulation and Effect Northwest Institute of Nuclear Technology Xi’an 710024 China;
Abstract：The material distribution and internal structure of the fast linear transformer driver (FLTD) induction cavity are complex, and the short rise time of the discharging current will make the spatial discretization more dense, leading to a sharp increase in the computational expenditure. In this paper, the electromagnetic field distributions of the 4-stage MA-class FLTD during brick discharge is studied using the time-domain finite integration technique (TD-FIT). The discharge currents of capacitors in the circuit model are coupled to the 3-D field model as excitations. The grid length of the important parts in the FLTD cavity is refined by the nonuniform grid. To reduce the number of degrees of freedom, the surface impedance boundary condition is adopted to model good conductors. The FLTD is divided into 24-different subdomains by the domain decomposition method based on the equivalence principle theorem. The results demonstrate that the TD-FIT can effectively analyse the pulsed transients in the FLTD cavity, the output performance and electromagnetic field characteristics of the two induction cavities are in good agreement, and the design of the four-stage FLTD sharing common cavity shell is practicable.
邱浩, 王曙鸿, 孙凤举, 王志国, 何旭. 基于时域有限积分技术的四级串联快脉冲直线型变压器驱动源电磁特性[J]. 电工技术学报, 2022, 37(4): 816-826.
Qiu Hao, Wang Shuhong, Sun Fengju, Wang Zhiguo, He Xu. The Electromagnetic Characteristics of the Four-Stage Series-Connected Fast Linear Transformer Driver Based on Time-Domain Finite Integration Technique. Transactions of China Electrotechnical Society, 2022, 37(4): 816-826.
[1] 孙凤举, 邱爱慈, 魏浩, 等. 快Z箍缩百太瓦级脉冲驱动源概念设计的发展[J]. 现代应用物理, 2017, 8(2): 13-24. Sun Fengju, Qiu Aici, Wei Hao, et al.Development of conceptual design on fast Z-pinch pulsed power driver with hundreds of Terawatt[J]. Modern Applied Physics, 2017, 8(2): 13-24. [2] McBride R D, Stygar W A, Cuneo M E, et al. A primer on pulsed power and linear transformer drivers for high energy density physics applications[J]. IEEE Transactions on Plasma Science, 2018, 46(11): 3928-3967. [3] 董守龙, 王艺麟, 曾伟荣, 等. 一种全固态多匝直线型变压器驱动源的研制[J]. 电工技术学报, 2020, 35(7): 1584-1591. Dong Shoulong, Wang Yilin, Zeng Weirong, et al.The development of all solid-state multi-turn linear transformer driver[J]. Transactions of China Electro- technical Society, 2020, 35(7): 1584-1591. [4] 董守龙, 王艺麟, 余亮, 等. 一种基于感应隔离的双极性脉冲发生器[J]. 电工技术学报, 2020, 35(24): 5050-5056. Dong Shoulong, Wang Yilin, Yu Liang, et al.A bipolar pulse generator based on inductive isolation[J]. Transactions of China Electrotechnical Society, 2020, 35(24): 5050-5056. [5] Chen Lin, Zou Wenkang, Zhou Liangji, et al.Development of a fusion-oriented pulsed power module[J]. Physical Review Accelerators and Beams, 2019, 22(3): 030401. [6] Wei Zhenyu, Rao Xuni, He Xu, et al.Circuit simulation with nonlinear magnetic core of a new linear transformer driver stage[J]. IEEE Transactions on Plasma Science, 2019, 47(8): 4084-4090. [7] 孙凤举, 姜晓峰, 魏浩, 等. 一种多级串联共用外腔体新结构LTD[J]. 强激光与粒子束, 2017, 29(2): 61-66. Sun Fengju, Jiang Xiaofeng, Wei Hao, et al.Novel configuration linear transformer driver with multi- stages in series sharing common cavity shell[J]. High Power Laser and Particle Beams, 2017, 29(2): 61-66. [8] Rose D V, Miller C L, Welch D R, et al.Circuit models and three-dimensional electromagnetic simu- lations of a 1MA linear transformer driver stage[J]. Physical Review Special Topics Accelerators & Beams, 2010, 13(9): 90401. [9] Flisgen T, Gjonaj E, Glock H, et al.Generalization of coupled S-parameter calculation to compute beam impedances in particle accelerators[J]. Physical Review Accelerators and Beams, 2020, 23(3): 034601. [10] Yan Jiaqi, Wang Guiji, Chen Xuemiao, et al.Modeling and experimental study on multi-brick parallel discharge driver based on PEEC method[J]. IEEE Transactions on Plasma Science, 2018, 46(10): 3364-3373. [11] 胡亚楠, 包家立, 朱金俊, 等. 纳秒电脉冲对肝脏组织不可逆电穿孔消融区分布的时域有限差分法仿真[J]. 电工技术学报, 2021, 36(18): 3841-3850. Hu Yanan, Bao Jiali, Zhu Jinjun, et al.The finite difference time domain simulation of the distribution of irreversible electroporation ablation area in liver tissue by nanosecond electrical pulse[J]. Transactions of China Electrotechnical Society, 2021, 36(18): 3841-3850. [12] 程显, 陈硕, 吕彦鹏, 等. 纳秒脉冲作用下核孔复合体影响细胞核膜电穿孔变化的仿真研究[J]. 电工技术学报, 2021, 36(18): 3821-3828. Cheng Xian, Chen Shuo, Lü Yanpeng, et al.Simu- lation study on the effect of nuclear pore complexes on cell electroporation under nanosecond pulse[J]. Transactions of China Electrotechnical Society, 2021, 36(18): 3821-3828. [13] 刘欣, 王利桐, 梁贵书, 等. 压装组件中圆柱形母线的部分电感计算方法[J]. 电工技术学报, 2020, 35(增刊1): 1-9. Liu Xin, Wang Litong, Liang Guishu, et al.Com- puting method for partial inductance of cylindrical busbar conductor[J]. Transactions of China Elec- trotechnical Society, 2020, 35(S1): 1-9. [14] Weiland T.Time domain electromagnetic field computation with finite difference methods[J]. Inter- national Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 1996, 9(4): 295-319. [15] Weiland T.Electromagnetic simulators-status and future directions[J]. IET Science, Measurement & Technology, 2017, 11(6): 681-686. [16] You Jianwei, Cui Tiejun.Efficient approach to accurately analyze wireless propagation and fading in time domain[J]. IEEE Antennas and Wireless Pro- pagation Letters, 2016, 15(2): 1767-1770. [17] You Jianwei, Zhang Jianfeng, Gu Weihui, et al.Numerical analysis of passive intermodulation arisen from nonlinear contacts in HPMW devices[J]. IEEE Transactions on Electromagnetic Compatibility, 2018, 60(5): 1470-1480. [18] Yousaf J, Park M, Lee H, et al.Efficient circuit and an EM model of an electrostatic discharge gener- ator[J]. IEEE Transactions on Electromagnetic Compatibility, 2018, 60(4): 1078-1086. [19] Razi-Kazemi A A, Hajian M. Probabilistic assessment of ground potential rise using finite integration technique[J]. IEEE Transactions on Power Delivery, 2018, 33(5): 2452-2461. [20] Samimi M H, Hillenbrand P, Tenbohlen S, et al.Investigating the applicability of the finite integration technique for studying the frequency response of the transformer winding[J]. International Journal of Electrical Power & Energy Systems, 2019, 110(3): 411-418. [21] Qiu Hao, Wang Shuhong, Sun Fengju, et al.Transient electromagnetic field analysis for the single-stage fast linear transformer driver with two different con- figurations using the finite-element method and finite integration technique[J]. IEEE Transactions on Magnetics, 2020, 56(4): 7515805. [22] Qiu Hao, Wang Shuhong, Zhang Naming, et al.Numerical analysis of a single-stage fast linear trans- former driver using field-circuit coupled time-domain finite integration theory[J]. Applied Sciences, 2020, 10(22): 8301. [23] Qiu Hao, Wang Shuhong, Zhang Naming, et al.Field- circuit coupling and electromagnetic-thermal-mechanical coupling analysis of the single-stage fast linear trans- former driver using time-domain finite integration technique[J]. IEEE Transactions on Magnetics, 2021, 57(6): 8401205. [24] Qiu Hao, Wang Shuhong, Sun Fengju, et al.Com- putational investigations on the four-stage MA-class fast linear transformer driver with sharing cavity shell[J]. IEEE Transactions on Plasma Science, 2021, 49(8): 2364-2372. [25] 毛云龙. 基于表面阻抗的时域有限差分方法边界条件研究[D]. 哈尔滨: 哈尔滨工程大学, 2018. [26] 王明杰, 徐伟, 杨存祥, 等. 基于精确子域模型的永磁直线同步电机空载磁场解析计算[J]. 电工技术学报, 2020, 35(5): 942-953. Wang Mingjie, Xu Wei, Yang Cunxiang, et al.Analytical calculation of no-load magnetic field in permanent magnet linear synchronous motors based on an accurate subdomain model[J]. Transactions of China Electrotechnical Society, 2020, 35(5): 942-953. [27] 江明, 胡俊, 陈涌频, 等. 基于积分方程区域分解算法的研究进展[J]. 电波科学学报, 2020, 35(2): 169-177. Jiang Ming, Hu Jun, Chen Yongpin, et al.The progress of domain decomposition method based on integral equation[J]. Chinese Journal of Radio Science, 2020, 35(2): 169-177. [28] 杨旗, 杨帆, 高兵, 等. 基于惠更斯原理的电气设备局部放电电磁传播计算方法[J]. 电工技术学报, 2019, 34(21): 4419-4427. Yang Qi, Yang Fan, Gao Bing, et al.Research on electromagnetic propagation of partial discharge for electrical equipment using Huygens principle[J]. Transactions of China Electrotechnical Society, 2019, 34(21): 4419-4427. [29] Muth F, Euler T.Investigating an equivalence principle based stopping criterion for a black box framework for domain decomposition[C]//The 19th International Conference on Electromagnetics in Advanced Applications, Verona, 2017: 715-717. [30] 陶瑞祥, 王泽忠. 基于有限元的电场区域分解法的广义极小残量迭代算法[J]. 电工技术学报, 2018, 33(2): 225-231. Tao Ruixiang, Wang Zezhong.Generalized minimal residual iteration method for finite element based on domain decomposition technique for electric field problem[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 225-231. [31] Liu Peng, Sun Fengju, Yin Jiahui, et al.Numerical analysis of the output-pulse shaping capability of linear transformer drivers[J]. Plasma Science and Technology, 2011, 13(2): 246-251.
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