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为了研究电磁能量从脉冲功率驱动器到Z箍缩负载的传输与转化过程，采用电路模型描述驱动器关键部件的充放电过程，采用辐射磁流体模型描述负载的动力学过程并获取动态电感和动态电阻参数，建立了驱动器与负载耦合的全电路数值模拟程序. 将该程序应用于“强光一号”装置，研究表明，模拟获得的驱动器电压波形、负载电流波形与实验结果符合较好，各段水介质传输线上电磁脉冲宽度逐级压缩，功率逐级放大. 在典型的钨丝阵Z箍缩辐射源物理实验条件下，当初级储能电容器充电35 kV 时，中储电容处的电磁功率（峰值）为0.23 TW，上升时间（10%–90%）为550 ns，形成线处的电磁功率为0.80 TW，上升时间为160 ns，水介质传输线末端的电磁功率为1.46 TW，上升时间为45 ns. 负载电流为1.5 MA，产生的X射线辐射功率为0.58 TW.In order to study the transportation and conversion of the electromagnetic energy from the pulsed power driver to Z-pinch load, a circuit model for the driver is analyzed, and coupled with magneto-hydrodynamics model for the load plasma. Our simulation results are compared with those obtained from circuit software and experimental results based on the “Qiangguang-I” facility. The simulated voltage and current waveform coincide well with the experimental results. Results show that the pulse width decreases and the peak increases as the pulse transmits from the storage capacitors to the pulse transmission line. When the storage capacitors are initially charged at 35 kV, the peak of electric powers at the transfer capacitor, the pulse forming line and the pulse output line are 0.23, 0.80 and 1.46 TW, respectively, and their rise-times (10%-90%) are 550, 160 and 45 ns, respectively. The load current is 1.5 MA and the X-ray radiation power is 0.58 TW.
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Keywords:
- Z-pinch /
- pulsed power driver /
- circuit analysis /
- magneto-hydrodynamics
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[2] Haines M G 2011 Plasma Phys. Control. Fusion 53 093001
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[4] Deeney C, Douglas M R, Spielman R B, Nash T J, Peterson D L, Eplattenier P L, Chandler G A, Seamen J F, Struve K W 1998 Phys. Rev. Lett. 81 4883
[5] McBride R D, Martin M R, Lemke R W, Greenly J B, Jennings C A, Rovang D C, Sinars D B, Cuneo M E, Herrmann, Slutz S A, Nakhleh C, Ryutov D D, Davis J P, Flicher D G, Blue B E, Tomlinson K, Schroen D, Stamm R M, Smith G E, Moore J K, Rogers T J, Robertson G K, Kamm R J, Smith I C, Savage M E, Stygar W A, Rochau G A, Jones M, Lopez M R, Porter J L, Matzen M K 2013 Phys. Plasmas 20 056309
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[20] Kuai B, Qiu A C, Wang L P, Cong P T, Liang T X, Gai T Y 2006 Sci. Tech. Engng. 6 939 (in Chinese) [蒯斌, 邱爱慈, 王亮平, 丛培天, 梁天学, 盖同阳 2006 科学技术与工程 6 939]
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[23] Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 1650 (in Chinese) [宁成, 杨震华, 丁宁 2003 52 1650]
[24] Duan Y Y, Guo Y H, Wang W S, Qiu A C 2004 Acta Phys. Sin. 53 2654 (in Chinese) [段耀勇, 郭永辉, 王文生, 邱爱慈 2004 53 2654]
[25] Ding N, Wu J M, Yang Z H, Fu S W, Ning C, Liu Q, Shu X J, Zhang Y, Dai Z H 2008 High Power Laser and Particle Beams 20 0212 (in Chinese) [丁宁, 邬吉明, 杨震华, 符尚武, 宁成, 刘全, 束小建, 张扬, 戴自换 2008 强激光与粒子束 20 0212]
[26] Ding N, Wu J M, Dai Z H, Zhang Y, Yin L, Yao Y Z, Sun S K, Ning C, Shu X J 2010 Acta Phys. Sin. 59 8707 (in Chinese) [丁宁, 邬吉明, 戴自换, 张扬, 尹丽, 姚彦忠, 孙顺凯, 宁成, 束小建 2010 59 8707]
[27] Jennings C A, Chittenden J P, Cuneo M E, Stygar W A, Ampleford D J, Waisman E M, Jones M, Savage M E, LeChien K R, Wagoner T C 2010 IEEE Trans. Plasmas Sci. 38 529
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[1] Ryutov D D, Derzon M S, Matzen M K 2000 Rev. Modern Phys. 72 167
[2] Haines M G 2011 Plasma Phys. Control. Fusion 53 093001
[3] Matzen M K 1997 Phys. Plasmas 4 1519
[4] Deeney C, Douglas M R, Spielman R B, Nash T J, Peterson D L, Eplattenier P L, Chandler G A, Seamen J F, Struve K W 1998 Phys. Rev. Lett. 81 4883
[5] McBride R D, Martin M R, Lemke R W, Greenly J B, Jennings C A, Rovang D C, Sinars D B, Cuneo M E, Herrmann, Slutz S A, Nakhleh C, Ryutov D D, Davis J P, Flicher D G, Blue B E, Tomlinson K, Schroen D, Stamm R M, Smith G E, Moore J K, Rogers T J, Robertson G K, Kamm R J, Smith I C, Savage M E, Stygar W A, Rochau G A, Jones M, Lopez M R, Porter J L, Matzen M K 2013 Phys. Plasmas 20 056309
[6] Qiu A C, Kuai B, Zeng Z Z, Wang W S, Qiu M T, Wang L P, Cong P T, L M 2006 Acta Phys. Sin. 55 5917 (in Chinese) [邱爱慈, 蒯斌, 曾正中, 王文生, 邱孟通, 王亮平, 丛培天, 吕敏 2006 55 5917]
[7] Zhou S T, Li J, Huang X B, Cai H C, Zhang S Q, Li J, Duan S C, Zhou R G 2012 Acta Phys. Sin. 61 165202 (in Chinese) [周少彤, 李军, 黄显宾, 蔡红春, 张思群, 李晶, 段书超, 周荣国 2012 61 165202]
[8] Zhao S, Xue C, Zhu X L, Zhang R, Luo H Y, Zou X B, Wang X X, Ning C, Ding N, Shu X J 2013 Chin. Phys. B 22 045205
[9] Wang L P, Wu J, Guo N, Han J J, Li M, Li Y, Qiu A C 2012 Plasma Sci. Tech. 14 842
[10] Sheng L, Qiu M T, Hei D W, Qiu A C, Cong P T, Wang L P, Wei F L 2011 Acta Phys. Sin. 60 055205 (in Chinese) [盛亮, 邱孟通, 黑东炜, 邱爱慈, 丛培天, 王亮平, 魏福利 2011 60 055205]
[11] Zhou L, Xue F B, Si F N, Yang J L, Ye F, Xu R K, Hu Q Y, Fu Y C, Jiang S Q, Li L B, Chen J C, Xu Z P 2012 Acta Phys. Sin. 61 195207 (in Chinese) [周林, 薛飞彪, 司粉妮, 杨建伦, 叶繁, 徐荣昆, 胡青元, 甫跃成, 蒋树庆, 李林波, 陈进川, 许泽平 2012 61 195207]
[12] Jiang S Q, Ning J M, Chen F X, Ye F, Xue F B, Li L B, Yang J L, Chen J C, Zhou L, Qin Y, Li Z H, Xu R K, Xu Z P 2013 Acta Phys. Sin. 62 155203 (in Chinese) [蒋树庆, 寗家敏, 陈法新, 叶繁, 薛飞彪, 李林波, 杨建伦, 陈进川, 周林, 秦义, 李正宏, 徐荣昆, 许泽平 2013 62 155203]
[13] Aleksandrov V V, Grabovski E V, Gribov A N, Oleinik G M, Samokhin A A, Sasorov P V 2008 Plasma Phys. Rep. 34 911
[14] Xie W P, Wang W D, Deng J J, Ying C T, Ding B N 2003 High Power Laser and Particle Beams 15 61 (in Chinese) [谢卫平, 王文斗, 邓建军, 应纯同, 丁伯南 2003 强激光与粒子束 15 61]
[15] Xang L P, Qiu A C, Kuai B, Cong P T, Liang T X, Zhang Z, Jia W, Guo N 2004 High Power Laser and Particle Beams 16 261 (in Chinese) [王亮平, 邱爱慈, 蒯斌, 丛培天, 梁天学, 张众, 贾伟, 郭宁 2004 强激光与粒子束 16 261]
[16] Ding N, Yang Z H, Ning C 2004 Acta Phys. Sin. 53 808 (in Chinese) [丁宁, 杨震华, 宁成 2004 53 808]
[17] Struve K W, Bennett L F, Davis J P, Savage M E, Smith D L, Stygar W A, Chavez T F, Hinshelwood D D, Wagoner T C 2008 Proceedings of the 17th International Conference on High-Power Particle Beams Xi'an, China July 6-11, 2008 p125
[18] Zou W K, Chen L, Zhou L J, Wang M, Yang L B, Xie W P, Deng J J 2011 Acta Phys. Sin. 60 115204 (in Chinese) [邹文康, 陈林, 周良骥, 王勐, 杨礼兵, 谢卫平, 邓建军 2011 60 115204]
[19] Cong P T, Kuai B, Qiu A C, Wang L P, Wu H Y, Zeng Z Z, Jia W 2005 High Power Laser and Particle Beams 17 1414 (in Chinese) [丛培天, 蒯斌, 邱爱慈, 王亮平, 吴撼宇, 曾正中, 贾伟 2005 强激光与粒子束 17 1414]
[20] Kuai B, Qiu A C, Wang L P, Cong P T, Liang T X, Gai T Y 2006 Sci. Tech. Engng. 6 939 (in Chinese) [蒯斌, 邱爱慈, 王亮平, 丛培天, 梁天学, 盖同阳 2006 科学技术与工程 6 939]
[21] Huang T, Cong P T, Zhang G W, Wang L P, Zhang X J, Hu Y X 2010 High Power Laser and Particle Beams 22 897 (in Chinese) [黄涛, 丛培天, 张国伟, 王亮平, 张信军, 呼义翔 2010 强激光与粒子束 22 897]
[22] Peterson D L, Bowers R L, Brownell J H, Greene A E, McLenithan K D, Oliphant T A, Roderick N F, Scannapieco A J 1996 Phys. Plasmas 3 368
[23] Ning C, Yang Z H, Ding N 2003 Acta Phys. Sin. 52 1650 (in Chinese) [宁成, 杨震华, 丁宁 2003 52 1650]
[24] Duan Y Y, Guo Y H, Wang W S, Qiu A C 2004 Acta Phys. Sin. 53 2654 (in Chinese) [段耀勇, 郭永辉, 王文生, 邱爱慈 2004 53 2654]
[25] Ding N, Wu J M, Yang Z H, Fu S W, Ning C, Liu Q, Shu X J, Zhang Y, Dai Z H 2008 High Power Laser and Particle Beams 20 0212 (in Chinese) [丁宁, 邬吉明, 杨震华, 符尚武, 宁成, 刘全, 束小建, 张扬, 戴自换 2008 强激光与粒子束 20 0212]
[26] Ding N, Wu J M, Dai Z H, Zhang Y, Yin L, Yao Y Z, Sun S K, Ning C, Shu X J 2010 Acta Phys. Sin. 59 8707 (in Chinese) [丁宁, 邬吉明, 戴自换, 张扬, 尹丽, 姚彦忠, 孙顺凯, 宁成, 束小建 2010 59 8707]
[27] Jennings C A, Chittenden J P, Cuneo M E, Stygar W A, Ampleford D J, Waisman E M, Jones M, Savage M E, LeChien K R, Wagoner T C 2010 IEEE Trans. Plasmas Sci. 38 529
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