指数传输线输出波形和传输效率的级数近似解

摘要

Approximate series solutions of the output pulse waveforms and transmission efficiencies of transmission line with exponential impedance profile have been developed based on distributed-parameter model for typical incident pulses suitable for next generation of Z-pinch plasma drivers. The transmission efficiencies are studied computationally with these solutions for peta watt-class Z-pinch driver's exponential transmission line taking account of the line's length and ratio of output impedance to the input as well as the pulse's shape and parameter. The voltage transmission efficiency increases with the increase of the ratio of output impedance to the input, line length and pulse frequencies; the power transmission efficiency increases with the increase of pulse frequencies and with the decrease of steepness of the line's impedance variation.%以传输线分布参数模型为基础,推导给出了Z箍缩感兴趣条件下典型脉冲通过指数变阻抗传输线后脉冲波形和传输效率的级数近似解.分析了变阻抗传输线的阻抗变比、长度及脉冲形状和参数对传输效率的影响,以适合PW量级Z箍缩驱动源的水介质整体径向指数变阻抗传输线的参数组合为例计算给出了其传输效率.电压传输效率随传输线阻抗变比、长度增大而增加,随脉冲频谱向高频移动而增加;功率传输效率随传输线阻抗变化剧烈程度减小而增大,随脉冲频谱向高频移动而增大.给出了电压和功率传输效率的简化计算公式.