基于优化模拟电荷法的直流输电线路电场特性计算

Calculation of electric field characteristics of direct current transmission lines based on optimized charge simulation method

为了提高模拟电荷法计算电场的精度并降低其计算复杂度,采用黄金分割法对模拟电荷法进行优化,提出了一种精度高且易实现的模拟电荷设置方法.应用该模拟电荷法计算了直流输电线路导线表面电场,采用“化曲为直”法绘制了电场线轨迹.在此基础上,基于通量线法对比分析了分裂导线表面最大场强在不同取值方法下求解合成电场和离子流密度时带来的计算结果差异.结果表明:此优化模拟电荷法计算电场精度高,并能随导线参数的变化灵活调整模拟电荷的设置;“化曲为直”法绘制电场线轨迹,可避免地面电场水平分量为0时微分方程结果不收敛的问题;用分裂子导线表面最大场强的平均值与其中最大值所得合成电场和离子流密度的最大值分别相差10%和30%以上,前者所得结果与实测值更为吻合.研究结果可为输电线路的设计及运维提供理论参考.

The charge simulation method was optimized using the golden ratio to increase its accuracy and reduce its computational complexity.Hence,a more precise simulation charge setting method that is easier to realize was put forward.The electric field on the surface of the direct current transmission line was calculated by using such simulation charge setting method,and the track of the electric field line was plotted by“turning curve into straight”.Based on this and according to the flux tracing method,a contrastive analysis was carried out on the differences of computation results of ground total electric field and ion current density when the maximum field intensity on the surface of the divided conductor was acquired in different ways.The results show that this method has high accuracy in calculating electric field,and can flexibly adjust the setting of simulated charge with the change of wire parameters.The method of“turning curve into straight”can avoid the problem that the result of differential equation does not converge when the horizontal component of ground electric field is zero.The difference between the average value of the maximum electric field intensity on the surface of the splitter wire and the maximum value of the maximum electric field and ion current density is more than 10%and 30%respectively.The former result is more consistent with the measured value.The research results can provide a theoretical reference for the design and operation of transmission lines.