Equivalent parameters prediction of dielectric barrier discharge piecewise model with parallel ceramic rods
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摘要: 为实现对介质阻挡放电负载模型等效参数的有效预测，引入放电区域面积作为中间变量。以平行陶瓷棒为负载，通过Maxwell有限元仿真得到恒压静电场下的负载等效电容与放电区域的对应关系。结合恒压静电场下的电场分布，提出了放电区域逐步扩张下的气隙首次击穿电压、负载外加电压峰值及气隙放电维持电压的预估方法。进而，根据李萨如图形法求得各个工作点的功率。至此，建立起了放电区域同各个等效参数间的量化关系，并实现了对参数的预测。最后，对气隙间距为1，3，4 mm的工况进行了实验验证。实验结果表明：气隙放电维持电压预测值在局部变化趋势上与实测值存在一定差异；放电功率、负载外加电压峰值预测结果与实测值较为吻合。Abstract: In order to achieve effective prediction of the equivalent parameters of dielectric barrier discharge piecewise model, discharge region is introduced as an intermediate variable in the proposed method. In this study, taking parallel ceramic rods as the reactor, the corresponding relationships between the equivalent capacitances of the reactor and the discharge region are obtained by Maxwell finite element simulation under constant voltage electrostatic field. With the help of electric field distribution, the estimation theories of how the critical parameters change over the gradual expansion process of the discharge region are explained, including the air gap first breakdown voltage, the peak value of the applied voltage and the air gap discharge maintaining voltage. Afterwards, the discharge power under various operating conditions can be calculated by Lissajous's figure method. Thus the quantitative relationship between the discharge region and each equivalent parameter is established, and the prediction is realized. An experiment for verification was performed with air gap distances of 1 mm, 3 mm, and 4 mm. It is shown that the predicted and the experimental curves of discharge maintaining voltage have some difference in the local variation trend, while the discharge power and the applied voltage peak prediction results are in good agreement with the measured ones.
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图 2 带负载的驱动源电路及DCM与CCM临界工作模式下的关键波形
Figure 2. Resonant converter with load and its key waveforms in the critical mode between DCM and CCM
图 3 负载静电场分布及基于几何结构的参数等效方法示意图
Figure 3. Schematic diagram of electrostatic field distribution and equivalent parameter extraction methods based on geometric structure
图 4 不同气隙间距下，放电阶段模型等效电容同放电区域的关系
Figure 4. Equivalent capacitances versus discharge area with different air gap distances
图 5 放电延伸曲线上不同位置对应的均匀系数
Figure 5. Uniformity coefficient versus different position along the discharge expansion curve
图 6 放电延伸曲线上不同位置对应的气隙电压占比
Figure 6. Air gap voltage versus applied voltage at different position
图 7 放电区域扩张所需外加电压峰值的变化曲线
Figure 7. Relationship between applied voltage peak and the discharge area
图 8 放电扩张到不同位置时的放电维持电压
Figure 8. Discharge maintaining voltage corresponding to different discharge area
图 9 不同气隙间距下负载外加电压峰值、放电维持电压及放电功率的实验值同预测值比较
Figure 9. Experiment and prediction results of applied voltage peak value, gap discharge maintaining voltage, and discharge power with different air gap distances
表 1 不放电阶段不同气隙间距下的的等效电容参数
Table 1. Equivalent capacitances during non-discharge stage with different air gap distances
d/mm Cd-ch/pF Cg-ch/pF Cch/pF Cch-exp/pF 1 120.06 53.79 37.15 36.27 3 142.14 24.47 20.87 23.02 4 148.43 20.30 17.86 21.62 
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