高压直流离子流场的有限元计算(1).pdfVIP

高电压与绝缘技术 ·1383 · 高压直流离子流场的有限元计算 余世峰 阮江军 杜志叶 武汉大学电气工程学院 湖北 武汉 430072 【摘 要】 对 HVDC 离子流场进行 2D 有限元迭代求解，对双极条件下的电流连续性方程进行了合 并。通过设定导线电荷密度计算空间电荷密度初值，迭代求解上述方程组并根据所求电位 结果对空间电荷密度修正直至收敛。舍弃了 Deutsch 假设，用经验公式代替 Kaptzov 假 设，对单极和双极导线分别提出空间电荷密度的更新公式。用具有解析解的同轴圆筒电极 问题对算法进行了验证，并与±200 kV HVDC 模型实验数据进行比较，计算结果与实际测 量结果接近。文章提出的方法可适用于 HVDC 单极离子流场的计算分析。 【关键词】 高压直流 离子流场 有限元 Finite Element Iterative Computation of Direct Current Ionized Field Yu Shifeng Ruan Jiangjun Du Zhiye School of Electrical Engineering ，Wuhan University ，Wuhan 430072 ，Hubei ，China Abstract ：Electric field around high voltage direct current （HVDC ）was solved iteratively with 2D finite element method. Current continuity equations group of bipolar current continuity were combined. Given an initial value of charge density throughout the interested region ，results can be obtained by updating charge density by each iterative solution until convergence. Deutsch assumption was deserted and Kaptzov assumption was replaced by an empirical formula ，an update formula for charge density was presented. Both analytical and experimental results from literatures were compared with those obtained by the method ，and satisfactory agreement was obtained. The method presented is applicable for the analysis of HVDC unipolar ionized field. Key words ：high voltage direct current （HVDC ）；ionized field ；finite element method 离子流场由电晕产生，当输电线路导线表面电场强度大于起始电晕电场强度时，靠近导线表面的 空气发生电离，电晕放电在电离区和极间区产生与导线同极性的电荷，由于高压直流线路电压与极性 恒定，电荷在电场作用下不断向地面运动，形成稳定的离子流 [1] 。高压直流离子流场的计算和实验， 对运行线路的性能评价及线路的设计均具