A concentrated treatment used on the residual pollution layer in the Obennaus and its improved models is inappropriate for establishing the propagation model of an arc along the pollution layer surface. Therefore, discretising the residual pollution layer is innovatively proposed. The residual pollution layer is discretised into several infinitesimal pollution layer elements with various characteristics along the vertical direction from the arc root to the ground electrode. Quantitative relationships between the surface conductivity of a pollution layer element and several variables, including salt deposit density, water film thickness, temperature, and time, are concluded based on experimental data and relevant theories. A distribution factor that determines leakage current densities in a pollution layer is defined. A residual pollution layer surface resistance model based on the discretisation, relational expressions, and distribution factor is established. A comparison of the proposed model with the results observed in the experiments with and without a partial arc shows that the proposed model is reasonable.

在Obennaus中残留污染层及其改进模型上进行的集中处理不适用于建立弧沿污染层表面的传播模型。因此，创新地提出了离散化残留污染层。残余污染层沿从电弧根部到接地电极的垂直方向离散为几个具有各种特性的无穷小污染层元素。基于实验数据和相关理论，得出了污染层元素的表面电导率与包括盐沉积密度，水膜厚度，温度和时间在内的几个变量之间的定量关系。定义了确定污染层中泄漏电流密度的分布因子。建立了基于离散化，关系表达式和分布因子的残余污染层表面电阻模型。将所提出的模型与在有或没有局部电弧的情况下在实验中观察到的结果进行比较表明，所提出的模型是合理的。