建立了长输管线阴极保护电位分布的简单物理模型,并采用边界元算法的管单元法推导出电位分布的简单数学模型,以实测阴极极化曲线作为边界条件,分段线性法进行拟合处理;依据以上的数学模型以及边界条件,采用Matlab工具编程,计算出长输管线阴极保护的电位分布,与试验设计测试的管线电位相比误差较小。讨论了管单元数目的划分对计算结果的影响,管单元数目的合理选择对于数值计算效率的提高和误差的控制很有意义。
The physical model of cathodic protection distribution of the long distance pipeline was established, and the mathematics model of the potential distribution was deduced by the tube element method of boundary element algorithm. Using the cathodic polarization curve as boundary conditions, piecewise linear fitting was dealt with. Based on the mathematical model and boundary conditions above, using Matlab programming tools, the cathodic protection potential distribution of long distance pipeline was calculated and its comparson with that of the experimental designed pipeline showed similar results. The influence of the number of units on the calculation results was concluded that the right choice for the size of the unit number is very meaningful to calculation efficiency and error control.