大型Z箍缩装置中心汇流区电感计算

To quickly calculate the inductance of the central converging region and reveal the laws of the power and energy transmission efficiency of the high current Z-pinch driver, an analytical method is established to calculate the central inductance by an approximation of the structure of the central converging region, providing the approximate calculation formulas of inductance of insulator stacks, vacuum flare, vacuum magnetically insulated transmission lines and post-hole convolute. The quantitative relation between the central inductance and the electric (peak voltage of insulator stack) and structural parameters (radius and number of levels of the central confluence region, vacuum magnetically insulated transmission lines) was discussed. The simplified circuit of the typical Z-pinch driver was modeled on this basis, and the self-consistent circuit model of the structural parameters → electric parameters → load current was set up. Finally, the influence of the level and radius of the stack on the short-circuit load current of the driver is obtained. The results show that the maximum error between the inductance obtained by the method proposed and values given in the literature of the international typical Z-pinch drivers is 3.3%. The central inductance decreases with the increase of the number of levels of the central region, decreases first with the radius and then increases, and there is an optimization radius that minimizes the central inductance. This method proposed can provide a theoretical reference for the design of the same type of Z-pinch drivers.