特高压直流输电线路离子流场快速稳定计算方法  

Fast and Stable Calculation Method for Ion Flow Field of UHVDC Power Transmission Lines

作　　者：修连成 杜志叶[1] 岳国华 何靖萱 蔡泓威 易凡 XIU Liancheng;DU Zhiye;YUE Guohua;HE Jingxuan;CAI Hongwei;YI Fan(School of Electrical Engineering and Automation,Wuhan University,Wuhan 430072,China;Radar NCO School,Air Force Early Warning Academy,Wuhan 430345,China)

机构地区：[1]武汉大学电气与自动化学院,武汉430072 [2]空军预警学院雷达士官学校,武汉430345

出　　处：《南方电网技术》2021年第10期80-86,共7页Southern Power System Technology

基　　金：国家自然科学基金面上项目(51977152)。

摘　　要：特高压直流输电线路下方的离子流场是电磁环境重要评估指标之一。基于牛顿-拉夫逊法和上流有限元法提出了一种快速稳定地求解离子流场算法。首先,通过有限元法来求解泊松方程,之后将获得的空间电场信息用于上流有限元法计算电流连续性方程。随后,利用基于牛顿-拉夫逊的迭代收敛算法更新导体表面电荷密度。将上述3部分反复迭代即可实现迭代过程的快速稳定收敛。同时,研究了风速对±800 kV特高压输电线路的地面合成电场和离子流场影响规律。试验结果验证了该算法的有效性和正确性。研究结果表明:本算法与迭代收敛控制因子法和传统方法相比不但对导线表面电荷密度初值不敏感,而且具有较高的快速收敛能力。研究结论可以提升离子流场计算的稳定收敛能力,实现特高压直流输电线路电磁环境的快速准确计算。The ion flow field under the UHVDC power transmission line is one of the important evaluation indicators of the electromagnetic environment. Based on the Newton-Raphson method and the upwind FEM, this paper proposes a fast and stable algorithm for solving the ion flow field. First, FEM is used to solve the Poisson’s equation, and then the space electric field information is used in upwind FEM to calculate the current continuity equation. Subsequently, an iterative convergence algorithm based on Newton-Raphson is used to update the surface charge density of the conductor. Repeated iteration of the above three parts can achieve rapid and stable convergence of the iterative process. Meanwhile, the influence law of wind speeds on the distribution of the ground total electric field and ion current density under the ±800 kV transmission line is studied in this paper. The experiment results in this paper verify the effectiveness and correctness of the algorithm. The research results show that compared with the iterative convergence control factor method and the traditional method, this algorithm is not only insensitive to the initial value of the wire surface charge density, but also has a higher rapid convergence ability. The research conclusions of this paper can improve the stable convergence ability of ion flow field calculation, and realize the fast and accurate calculation of the electromagnetic environment of UHVDC power transmission lines.

关 键 词：特高压直流输电线路 离子流场 迭代收敛 上流有限元法 牛顿-拉夫逊法 

分 类 号：TM561[电气工程—电器] TM41