中文摘要：

研究灭弧室内气流场的特性对高压SF6断路器的优化设计具有重要的意义.为此通过数学变换,采用压力方程代替质量守恒方程,建立一维可压缩气流场物理数学模型,基于有限体积法求解容性小电流开断下高压SF6断路器灭弧室内气流场,得到马赫数分布以及激波产生处的密度、压力、速度与温度等主要气流参数的分布.利用分离变量法对火弧室内气流运动方程的基本解进行求解研究,得到灭弧室内存在由混沌态过渡到周期运动的非线性动力学行为描述.结果表明：激波的不稳定性是造成混沌现象的根源之一,激波处混沌行为有利于SF6断路器的开断.

英文摘要：

Studying the characteristics of gas flow field in arc quenching chamber is of significance for the optimizationdesign of SF6 circuit breaker （CB）. Consequently, we established a one-dimensional compressible gas flow field mathe-matical model by replacing the mass equation with the pressure equation based on the mathematic transformation, andsimulated the distribution of Mach number in gas flow field under different opening stokes by using finite volume method（FVM）. The pressure, density, velocity, and temperature distribution of gas flow were obtained, and especially the abovegas flow parameter variations at the region of the formed shock wave were calculated. Moreover, the fundamental solu-tion of the equation describing the gas flow in the SF6 CB was resolved using separation of variables method. The resultsshow that, among certain parameter range, the system exhibits chaotic or even periodic behavior in the arc quenchingchamber. The instability of the shock wave is one of the origins of the chaotic behavior occurred in the arc quenchingchamber, and the chaos at shock wave is beneficial to the interruption of the SF6 CB.