Theoretical research on key issues and design of integrated MagLIF experiments on the 7−8 MA facility
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摘要: 针对国内7～8 MA脉冲功率装置驱动条件，通过耦合等效电路模型和McBride等人发展的半解析模型，研究了MagLIF总体能量学过程及中子产额随关键参数的变化规律，获得了中子产额大于1010的参数设计区间。结果表明：7～8 MA驱动条件、套筒材料、负载高度、燃料半径与密度、预热能量、外加轴向磁场等多因素共同决定了燃料的最终压缩状态；预热能量越大，燃料初始升温以及滞止时刻升温越高，中子产额越高；轴向磁场增加，热传导能量损失减小，但燃料收缩比也会减小，因此存在优化轴向磁场以获得较高中子产额；杂质质量分数超过10%，中子产额开始显著下降。燃料密度0.7 mg/cm3、外加轴向磁场27 T、预热能量200 J、杂质质量分数小于50%的条件下，可以获得3.5×1010中子产额，从而有望在7～8 MA条件下建立MagLIF关键问题研究平台。Abstract: Magnetized Liner Inertial Fusion (MagLIF) is one of the possible configurations to reach ignition. For future ignition validation, it is necessary to explore key issues of MagLIF and seek an optimal design of integrated MaglIF experiments on the low current generators. In this paper, a simplified circuit model is coupled to the semi-analytical model developed by McBride et al. to investigate key issues of integrated MagLIF experiments possibly conducted on the 7−8 MA facility in China, and parameter domain to attain over 1010 neutron yield is explored. Theoretical results show that many factors together determine the final neutron yield, such as the 7−8 MA current, the liner material, the initial radius and density of D2 fuel, the load height, the preheating energy, the applied axial magnetic field, as well as the fuel mixing. As the preheating energy is increased, the fuel temperature before implosion and at stagnation becomes higher, thus generating higher neutron output. The neutron yield will increase first and then decrease with the applied axial magnetic field, mainly caused by the compromise of reducing the conduction loss and decreasing the fuel convergence. When the mass ratio of impurity is higher than 10%, the neutron yield will be decreased remarkably. If an initial fuel density of 0.7 mg/cm3, an axial magnetic field of 27 T, and a preheating energy of 200 J in the case of 7−8 MA are used, 3.5×1010 neutrons can be produced with the convergence lower than 20 considering 50% fuel mixing. It is thus anticipated that the research platform on key physics of MagLIF can be developed in the case of 7−8 MA drive current.
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Key words:
- Z-pinch /
- magnetized liner inertial fusion /
- pulse-power generator /
- neutron yield /
- preheating /
- pre-magnetization
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图 4 套筒、燃料区平均温度以及中子产生速率时间变化曲线
Figure 4. Variation of averaged liner and fuel temperatures and neutron production rate with time
图 7 中子产额和燃料峰值温度随燃料初始密度的变化
Figure 7. Variation of neutron yield and peak fuel temperature with initial fuel density
图 8 中子产额和峰值电流随负载高度的变化
Figure 8. Variation of neutron yield and peak current with initial load height
图 9 中子产额、收缩比、套筒对燃料pdV做功、热传导能量损失及燃料峰值温度随外加轴向磁场的变化
Figure 9. Variation of simulated parameters with initial axial magnetic field
图 10 中子产额和燃料峰值温度随预热能量的变化
Figure 10. Variation of neutron yield and peak fuel temperature with preheating energy
图 11 中子产额和套筒对燃料pdV做功随套筒纵横比的变化
Figure 11. Variation of neutron yield and pdV work to fuel with aspect ratio
图 12 归一化中子产额随Be杂质质量分数的变化
Figure 12. Variation of normalized neutron yield with mass ratio of beryllium impurity
图 13 不考虑燃料混合时中子产额随初始轴向磁场和燃料密度的变化
Figure 13. Contours of neutron yield with initial axial magnetic field and fuel density without fuel mixing
图 14 杂质质量分数50%时中子产额随初始轴向磁场和燃料密度的变化
Figure 14. Contours of neutron yield with initial axial magnetic field and fuel density with 50% fuel mix
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