磁绝缘传输线压力平衡模型的修正
Rescaling of pressure equilibrium model of magnetically insulated transmission lines based on flow electron collisional theory
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摘要: 由于电子的发射，在磁绝缘传输线（MITL）的阴极表面附近会形成一层电子鞘层。当传输线工作在稳定态时，电子鞘层的边缘满足压力平衡。在此基础上，考虑了电子鞘层内部的碰撞，利用PIC计算方法对MITL的电压、阴极电流和阳极电流的关系进行修正，使得阴阳极电流在饱和流条件下与模拟计算结果更加符合，最大误差由9%降到3%。碰撞系数关于电压的拟合曲线适合于工作电压为2～7 MV的理想MITL。Abstract: Because of the electron emission, an electron sheath will appear near the cathode surface of the magnetically insulated transmission line (MITL). When the MITL comes to be stable, the sheath will reach pressure equilibrium. Based on the collisions in the electron sheath, the pressure equilibrium model is rescaled to match particle-in-cell(PIC) simulation results, providing a more accurate function of voltage, anode and cathode currents. And the peak error between theoretical and simulation results decreases from 9% to 3% in the saturated flow state. The parameter α is fitted as a function of the working voltage, which is in effect when the working voltage ranges from 2 to 7 MV with the idealized MITL.
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Key words:
- magnetic insulation /
- saturated flow /
- effective collisions /
- electron sheath
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