基于动理学方法的热离子能量转换伏安特性计算

Calculation of Voltage-ampere Characteristic about Thermionic Energy Converter Based on Kinetic Method

  • 摘要: 为计算热离子能量转换器的伏安特性,基于动理学方法对电极间等离子体输运建模,根据弱电离等离子体的碰撞特征进行简化;采用试射法实现输运方程与边界条件的自适应匹配求解,编制计算程序并在覆盖离子裕度β及输运参量PCsd临界值的输入参数下进行验证。研究发现,本文程序计算得到的伏安特性曲线和等离子体参量分布与实验相符性好,计算的伏安特性曲线与实验测量值的平均相对误差为14.2%,验证了伏安特性计算程序的准确性且输入参数具有较宽的适应性。

     

    Abstract: The calculation of voltage-ampere characteristic (VAC) of thermionic energy convertor is the primary issue in the calculation and analysis of electrical character. The model of plasma transport in the electrode interval was built based on kinetic method to calculate the VAC of thermionic energy converter. And the model of plasma transport was simplified according to the collision characteristic of weak ionization plasma. For the partial differential boundary value problem to be solved, the adaptive computer program based on try-shooting method was adopted to solve the transport equations and boundary conditions and the calculation program was built with MATLAB language. The model was verified in the broad scope of the emitter ion-richness ratio β and the transport parameters PCsd, covering their critical values. It is found that the results of VAC and distribution of plasma parameters calculated in this thesis accord with the experiment results well. The average relative error between the VAC curve and the experimental measurement is 14.2%. The calculated values of the electron temperature and plasma concentration at the electrode gap are in good agreement with the measured values. The overall offset of the electron potential energy distribution is due to the experimental measurement deviation of the potential energy jump of the sheath layer electrons. The calculated trend of the change is in good agreement with the experimental value. Based on the parameter normalization, combined with the comparative analysis of the volt-ampere characteristic curve and the distribution of plasma parameters, it is verified that the plasma transport mechanism model of the computerized physical principle program for the VAC is reasonable and the results are accurate. The input parameters have a wide adaptability, and the program can be used for the electrical characteristic analysis of thermal ion energy conversion.

     

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