一种采用矩阵压缩技术的交流输电杆塔周围电场高效计算方法  

High Efficient Calculation Method for Electric Field Around High-voltage AC Transmission Tower Using Matrix Compression Technology

作　　者：杨勃 侯树政 徐禄文 邹军[2] 邱妮 邹岸新 YANG Bo;HOU Shuzheng;XU Luwen;ZOU Jun;QIU Ni;ZOU Anxin(State Grid Chongqing Electric Power Research Institute,Chongqing 401123,China;State Key Lab of Control and Simulation of Power Systems and Generation Equipment,Department of Electrical Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]国网重庆市电力公司电力科学研究院,重庆401123 [2]清华大学电机系电力系统及发电设备控制和仿真国家重点实验室,北京100084

出　　处：《高压电器》2022年第5期41-46,共6页High Voltage Apparatus

基　　金：国家自然科学基金项目(52077111)。

摘　　要：在三维空间中采用模拟电荷法计算输电线在电力杆塔周围产生的电场时,输电线和杆塔由若干段有限长导体构成,在模拟电荷法的计算过程中发现,电位系数矩阵的构建会消耗大量计算时间。为加速电位系数矩阵的构建,文中将整档输电线路分成多个区域,每个区域包含许多导体段,区域内部导体之间的电位系数和不同区域内导体之间的电位系数采用不同的计算方法,并且利用自适应交叉近似算法填充非对角子矩阵,只需计算出原始电位系数矩阵的部分元素即可近似表示原矩阵,从而减少计算时间。文中方案可有效减少电位系数矩阵的构建时间,提高计算效率。文中通过算例验证计算方法的正确性。文中计算方法适用于多档高压交流输电线路在输电杆塔周围产生电场的三维模型计算。In case of calculating the electric field generated by power transmission lines around power poles and towers by using charge simulation method in three-dimensional space,transmission lines and towers are composed of several finite long conductors. It is found in the calculation process of simulation charge method that the construction of potential coefficient matrix will consume much calculation time.In order to accelerate the construction of potential coefficient matrix,the whole transmission line is divided into several regions and each region contains many conductor segments. The potential coefficient between conductors in the same area and that in different areas will use different calculation methods. And the adaptive cross approximation algorithm is used to fill the non-diagonal submatrix.Therefore,only some elements of the original potential coefficient matrix need to be calculated to approximate the original matrix,thus reducing the calculation time. The proposal in this paper can effectively reduce the construction time of potential coefficient matrix and improve the calculation efficiency. The correctness of the calculation method in this paper is verified through example. The calculation method in this paper is applicable to the three-dimensional model calculation of the electric field generated around the transmission tower in the multi-stage high voltage AC transmission lines.

关 键 词：自适应交叉近似 模拟电荷法 输电杆塔 输电线路 电场计算 

分 类 号：TM75[电气工程—电力系统及自动化]