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平行轨道加速器等离子体动力学特性研究

刘帅 黄易之 郭海山 张永鹏 杨兰均

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平行轨道加速器等离子体动力学特性研究

刘帅, 黄易之, 郭海山, 张永鹏, 杨兰均

Plasma dynamic characteristics of a parallel-rail accelerator

Liu Shuai, Huang Yi-Zhi, Guo Hai-Shan, Zhang Yong-Peng, Yang Lan-Jun
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  • 等离子体电磁加速器可产生高速度、高密度等离子体射流而广泛应用于核物理、天体物理等领域.本文通过光电二极管、磁探头研究了不同放电电流和初始气压条件下等离子体在平行轨道加速器内的轴向运动特性.通过电流截断的方法,采用冲击摆测量了首次等离子体射流的动量.平行轨道加速器驱动电源由14级脉冲形成网络组成,每级电容为1.5 μF,每级电感约为300 nH,得到振荡衰减型方波的电流波形.实验发现,电流过零时,轨道起始处一般会发生二次击穿,并形成二次轴向运动的等离子体.放电电流为10–55 kA、初始气压为200–1000 Pa时,等离子体的轴向速度为8–25 km/s.实验获得的等离子体的运动速度为雪犁模型理论结果的60%–80%,这主要是理论模型忽略了电极表面对电弧的黏滞阻力以及电极烧蚀引起的质量增加.等离子体动量与电流的平方随时间的积分成正比.放电电流为21–51.6 kA时,首次等离子体射流的动量为1.49–9.88 g·m/s.等离子体运动过程中除了受到洛伦兹力外,还会受到电极表面的黏滞阻力,造成等离子体动量约为理论结果的75%.
    Electromagnetic plasma accelerators which can produce plasma jets with hypervelocity and high density have been widely used in the fields of nuclear physics and astrophysics. Parallel-rail accelerator, a type of electromagnetic plasma accelerator, is usually used to generate high density and compact plasma jets. The axial movements of plasma in a parallel-rail accelerator operated at different discharge currents and initial pressures are reported in this paper. Based on current truncation, the momentum of the first plasma jet is measured by a ballistic pendulum. The axial movement characteristics and velocity of the plasma during the acceleration phase are diagnosed by magnetic probes and photodiodes. The accelerator is powered by 14 stage pulse forming networks. The capacitor and inductor in each stage are 1.5 μF and 300 nH respectively, yielding a damped oscillation square wave of current with a pulse width of 20.6 μs. Plasma sheath is formed upon breakdown at the back wall insulator surface and subsequently accelerated by Lorentz force towards the open end of the accelerator. A secondary breakdown generally occurs at the starting end of the rail when the current reverses its direction, and then a secondary axial movement of plasma is formed. We focus on the first plasma jet accelerated by the first half-cycle of current. According to the snowplow model, the plasma velocity is proportional to the current and is inversely proportional to the square root of gas initial density or pressure. The axial velocity of the plasma is in a range from 8 km/s to 25 km/s when the discharge current is varied from 10 kA to 55 kA and the initial pressure is varied from 200 Pa to 1000 Pa. The experimental results show that the experimental velocities of the plasma are about 60%-80% of the theoretical result. It is likely that the viscous resistance of the electrode surface acting on the plasma and the mass increase of plasma caused by the electrode ablation are neglected in the snowplow model. The momentum of the first plasma jet is nearly proportional to the integration of the square of current over time, which is consistent with the predictions of the theoretical model. The maximum momenta of plasma jet at different currents appear at average velocities ranging from 13 km/s to 14 km/s when the plasma just moves to the outlet of the rail in the end of the first current pulse. The measured momentum of plasma jet is actually the total momentum of the truncated current waveform. The ratio of the momentum of the first plasma jet to the total measured momentum is about 87%. The momenta of the first plasma jet are in a range from 1.49 g·m/s to 9.88 g·m/s at discharge currents ranging from 21 kA to 51.6 kA. The experimental plasma momentum is about 75% of the theoretical result. These results show that the viscous resistance of rail electrode surface is about 25% of the Lorentz force, and thus leading to a lower value of plasma momentum.
      通信作者: 杨兰均, yanglj@xjtu.edu.cn
      Corresponding author: Yang Lan-Jun, yanglj@xjtu.edu.cn
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    Wiechula J, Schonlein A, Iberler M, Hock C, Manegold T, Bohlender B, Jacoby J 2016 AIP Adv 6 075313

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    Moser A L, Hsu S C 2015 Phys. Plasmas 22 055707

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    Merritt E C, Moser A L, Hsu S C, Adams C S, Dunn J P, Holgado A M, Gilmore M A 2014 Phys. Plasmas 21 055703

    [16]

    Thoma C, Welch D R, Hsu S C 2013 Phys. Plasmas 20 082128

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    [19]

    Zhang J L, Yang L, Yan H J, Hua Y, Ren C S 2015 Acta Phys. Sin. 64 075204 (in Chinese) [张俊龙, 杨亮, 闫慧杰, 滑跃, 任春生 2015 物理学报 64 075204]

    [20]

    Yang L, Yan H J, Zhang J L, Hua Y, Ren C S 2014 High Voltage Engineering 40 2113 (in Chinese) [杨亮, 闫慧杰, 张俊龙, 滑跃, 任春生 2014 高电压技术 40 2113]

    [21]

    Bhuyan H, Mohanty S R, Neog N K, Bujarbarua S, Rout R K 2003 Meas. Sci. Technol. 14 1769

    [22]

    Cassibry J T, Thio Y C F, Wu S T 2006 Phys. Plasmas 13 053101

    [23]

    Al-Hawat S 2004 IEEE Trans. Plasma Sci. 32 764

    [24]

    Aghamir F M, Behbahani R A 2011 J. Appl. Phys. 109 043301

    [25]

    Witherspoon F D, Case A, Messer S J, Bomgardner R, Phillips M W, Brockington S, Elton R 2009 Rev. Sci. Instrum. 80 083506

    [26]

    Messer S, Case A, Bomgardner R, Phillips M, Witherspoon F D 2009 Phys. Plasmas 16 064502

    [27]

    Hsu S C, Awe T J, Brockington S, Case A, Cassibry J T, Kagan G, Messer S J, Stanic M, Tang X, Welch D R, Witherspoon F D 2012 IEEE Trans. Plasma Sci. 40 1287

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    Keshtkar A, Bayati S, Keshtkar A 2009 IEEE Trans. Magn. 45 305

    [29]

    Chau S W, Hsu K L, Lin D L, Tzeng C C 2007 J. Phys. D:Appl. Phys. 40 1944

  • [1]

    Cheng D Y 1971 AIAA J. 9 1681

    [2]

    Liu W Z, Wang H, Zhang D J, Zhang J 2014 Plasma Sci. Technol. 16 344

    [3]

    Chung K S, Chung K, Jung B K, Hwang Y S 2013 Fusion Eng. Des. 88 1782

    [4]

    Kikuchi Y, Nakanishi R, Nakatsuka M, Fukumoto N, Nagata M 2010 IEEE Trans Plasma Sci. 38 232

    [5]

    Bendixsen L S C, Bott-Suzuki S C, Cordaro S W, Krishnan M, Chapman S, Coleman P, Chittenden J 2016 Phys. Plasmas 23 093112

    [6]

    Yang X Z, Liu J, Feng C H, Wang L 2008 Plasma Sci. Technol. 10 363

    [7]

    Cai M H, Wu F S, Li H W, Han J W 2014 Acta Phys. Sin. 63 019401 (in Chinese) [蔡明辉, 吴逢时, 李宏伟, 韩建伟 2014 物理学报 63 019401]

    [8]

    Underwood T C, Loebner K T K, Cappelli M A 2017 High Energ. Dens. Phys. 23 73

    [9]

    Wiechula J, Hock C, Iberler M, Manegold T, Schonlein A, Jacoby J 2015 Phys. Plasmas 22 043516

    [10]

    Hsu S C, Merritt E C, Moser A L, Awe T J, Brockington S J E, Davis J S, Adams C S, Case A, Cassibry J T, Dunn J P, Gilmore M A, Lynn A G, Messer S J, Witherspoon F D 2012 Phys. Plasmas 19 123514

    [11]

    Yang L, Zhang J L, Yan H J, Hua Y, Ren C S 2017 Acta Phys. Sin. 66 055203 (in Chinese) [杨亮, 张俊龙, 闫慧杰, 滑跃, 任春生 2017 物理学报 66 055203]

    [12]

    Merritt E C, Lynn A G, Gilmore M A, Thoma C, Loverich J, Hsu S C 2012 Rev. Sci. Instrum. 83 10D523

    [13]

    Wiechula J, Schonlein A, Iberler M, Hock C, Manegold T, Bohlender B, Jacoby J 2016 AIP Adv 6 075313

    [14]

    Moser A L, Hsu S C 2015 Phys. Plasmas 22 055707

    [15]

    Merritt E C, Moser A L, Hsu S C, Adams C S, Dunn J P, Holgado A M, Gilmore M A 2014 Phys. Plasmas 21 055703

    [16]

    Thoma C, Welch D R, Hsu S C 2013 Phys. Plasmas 20 082128

    [17]

    Poehlmann F R, Cappelli M A, Rieker G B 2010 Phys. Plasmas 17 123508

    [18]

    Gao Z X, Feng C H, Yang X Z, Huang J G, Han J W 2012 Acta Phys. Sin. 61 145201 (in Chinese) [高著秀, 冯春华, 杨宣宗, 黄建国, 韩建伟 2012 物理学报 61 145201]

    [19]

    Zhang J L, Yang L, Yan H J, Hua Y, Ren C S 2015 Acta Phys. Sin. 64 075204 (in Chinese) [张俊龙, 杨亮, 闫慧杰, 滑跃, 任春生 2015 物理学报 64 075204]

    [20]

    Yang L, Yan H J, Zhang J L, Hua Y, Ren C S 2014 High Voltage Engineering 40 2113 (in Chinese) [杨亮, 闫慧杰, 张俊龙, 滑跃, 任春生 2014 高电压技术 40 2113]

    [21]

    Bhuyan H, Mohanty S R, Neog N K, Bujarbarua S, Rout R K 2003 Meas. Sci. Technol. 14 1769

    [22]

    Cassibry J T, Thio Y C F, Wu S T 2006 Phys. Plasmas 13 053101

    [23]

    Al-Hawat S 2004 IEEE Trans. Plasma Sci. 32 764

    [24]

    Aghamir F M, Behbahani R A 2011 J. Appl. Phys. 109 043301

    [25]

    Witherspoon F D, Case A, Messer S J, Bomgardner R, Phillips M W, Brockington S, Elton R 2009 Rev. Sci. Instrum. 80 083506

    [26]

    Messer S, Case A, Bomgardner R, Phillips M, Witherspoon F D 2009 Phys. Plasmas 16 064502

    [27]

    Hsu S C, Awe T J, Brockington S, Case A, Cassibry J T, Kagan G, Messer S J, Stanic M, Tang X, Welch D R, Witherspoon F D 2012 IEEE Trans. Plasma Sci. 40 1287

    [28]

    Keshtkar A, Bayati S, Keshtkar A 2009 IEEE Trans. Magn. 45 305

    [29]

    Chau S W, Hsu K L, Lin D L, Tzeng C C 2007 J. Phys. D:Appl. Phys. 40 1944

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出版历程
  • 收稿日期:  2017-11-08
  • 修回日期:  2018-01-02
  • 刊出日期:  2019-03-20

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