Based on circuit theory,by treating arc as an equivalent time-varying resistance,a mathematical model of arc is proposed with arc resistance and load parameters as variables. Arc resistance is regarded as a periodic function of time,and it is partitioned into different regions.Moreover,the mathematical expression of arc resistance in each regio?nis also given.By using this model,the arc currentis calculated at different load levels.The calculated results are com?pared with the simulation results and the experimental results of Cassie and Stokes arc models.The comparison results verify the correctness and practicability of the proposed arc model,indicating that the research in this paper can provide theoretical reference for the diagnosis of low-voltage series fault arc.%基于电路理论,将电弧等效为时变电阻,提出了一种以电弧电阻和负载参数为变量的电弧数学模型.将电弧电阻看成时间的周期函数,并对电弧电阻进行分区域处理,给出了各区域电弧电阻的数学表达式.应用模型计算不同负载下的电弧电流,计算结果分别与Cassie电弧模型、Stokes电弧模型仿真结果、实验结果进行对比.对比结果验证了此电弧模型的正确性和实用性.此研究可为低压串联故障电弧的诊断提供理论依据.
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