Parameters Optimization of the Strong Magnetic Field Generation Driven by Electromagnetic Force
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摘要: 利用零维模型计算分析电磁驱动柱形薄套筒内爆压缩内嵌轴向磁场的过程。通过求解LC回路方程和套筒运动方程构成的方程组，得到3个无量纲参数(h, A, Π)的最优取值和磁通压缩过程的磁能转换效率。计算表明，在恒定电流驱动，且h < 0.2情况下，套筒半径的压缩比可达10以上。在1 MJ的驱动能量下，通过适当调节参数h、A和Π，使其接近最优取值，模拟产生了1 167 T的超强磁场，同时磁能转化效率达到47.3%。计算结果和优化参数对内爆磁通压缩实验设计具有一定的理论指导意义。Abstract: A zero-dimensional model is proposed to analyze the magnetic flux compression process of a thin cylindrical liner driven by electromagnetic force.The magnetic energy conversion efficiency and 3 optimal dimensionless parameters (h, A, Π) in the magnetic flux compression process are obtained by solving the equation set consisting of LC circuit equations and equations of motion of a thin cylindrical shell.It is shown that in order to achieve a 10-fold compression of cylindrical shell under the condition of steady current, the parameter h should be less than 0.2.To obtain a compressed magnetic field up to 1 000 T with high magnetic energy conversionefficiency, the dimensionless parameters are optimized on the condition that the capacitor bank's energy is about 1 MJ.These analyses and simulations are of great importance for both theoretical and experimental studies on magnetic flux compression.
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图 2 压缩比、磁场放大率随参数h的变化
Figure 2. Compreesion ratio and magnetic field amplification versus parameter h
图 4 最优Π下，磁场放大率随参数(h，A)的变化
Figure 4. Manetic field amplification versus parameter(h, A) for the optimal Π
图 5 最优Π下，能量转化效率随参数(h，A)的变化
Figure 5. Energy conversion efficiency versus parameter(h, A) for the optimal Π
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