中文摘要：

等效电容是研究大气压介质阻挡放电的基本参数。按定义式计算电容值由于没有考虑杂散电容以及外加电压参数的影响，用于计算介质阻挡放电参数不够准确。丝状放电规则的平行四边形Lissajous图，在一定假设条件下可计算介质阻挡放电的等效电容，但大气压辉光放电是不规则平行四边形。此外，计算放电参数必须用同一电压下的回路电流和等效电容，但是测量回路电流就无法同时测量Lissajous图形。为此，基于大气压氦气介质阻挡辉光放电试验测量的外加电压和回路电流，提出了该外加电压下Lissajous图形的计算方法。基于该图形，提出了大气压辉光放电时等效电容计算方法：简化法和分段法。根据计算结果，研究了等效电容对计算放电参数的影响。研究结果表明，计算法得到的Lissajous图形反映了放电过程；简化法比定义计算法得到的等效电容用于计算放电参数更接近真实放电过程，而分段法可用于探讨放电过程中瞬态等效电容的变化；等效电容对计算放电电压和电流影响很大。

英文摘要：

Equivalent capacitance is a key parameter in investigating electrical characteristics of dielectric barrier discharge at atmospheric pressure. But under an applied voltage, the measurements of loop current and Lissajous figure are not carried out at same time due to different measuring impedance. In this paper, a calculation method of Lissajous figure was proposed, based on the applied voltage and loop current. Based on the calculated figure, two caleula- tin methods of equivalent capacitance were proposed, namely simplified and segmented calculations. At last, the influence of equivalent capacitance on discharge parameters was investigated. The results show that the calculated Lissajous figure is closer to real discharge process than the measured one. The calculated discharge parameters based on the equivalent capacitances calculated using simplify method are closer to real discharge process. The calculated equivalent capacitance using segmented method is closer to the real temporal capacitance.