一种基于有限元法的超高压输电线路三维电场计算方法

Three-dimensional electric field calculation method for EHV transmission line based on finite element method

为了探讨基于有限元法(FEM)的输电线路附近电场的三维分布特点,引入输电线路弧垂方程建立三维模型,计算松江洞泗线上500 k V等级的超高压输电线路的三维电场分布,并与模拟电荷法进行比对,验证了该计算方法的有效性;研究分析了相导线布置方式、分裂导线尺寸、地形起伏等因素对空间电场强度和分布特征的影响;最后,将计算结果与多组实际测量结果进行对比,其电场强度变化趋势相近、分布特征一致,比二维模型计算结果与实际测量值的偏差从60. 94%缩小至9. 58%。为有限元法在输电线路附近三维空间电场的计算研究提供了重要的理论基础,并对工频电场计算和输电线路选址具有重要意义。

In order to discuss the three-dimensional distribution characteristics of electric fields near transmission lines based on the finite element method( FEM),a three-dimensional calculation model and the sag equation of transmission lines is established. The 3 D electric field distribution of extra-high voltage transmission lines of 500 k V named Dongsi Line is calculated by 3 D calculation model. Then the results of comparison between FEM and charge simulating method verify effectiveness of the 3 D calculation method. Furthermore,the influence of the factors such as the arrangement mode of phase traverse,the size of split traverse and topographic relief on the spatial electric field strength and distribution characteristics are calculated and analyzed. It’s the result of comparison between the calculation values and the measurement values that the variation trend of electric field intensity was similar and the distribution features were consistent. The results show that the deviation from the actual value is greatly reduced from 60. 94% to 9. 58%,which compared with the calculation results of the two-dimensional model. The calculation method in this paper provides an important theoretical basis for the calculation of three-dimensional electric field near the transmission line based on FEM and is of great significance for the calculation of power-frequency electric field and the location of transmission line.