中文摘要：

针对变电站关键设备工频电场计算存在计算效率低的问题,结合快速多极子法和边界元模拟电荷法提出一种快速计算多介质工频电场分布的方法。根据边界元模拟电荷法基本原理建立变电站关键设备工频电场计算模型。利用快速多极子法可以加速矩阵与向量乘积效率的特点,得到提高多介质工频电场分布的快速算法。并应用该方法具体计算500 kV变电站中开关场内刀闸周围的电场分布。结果表明：快速多极子边界元模拟电荷法的计算结果与积分工程软件的仿真结果的最大相对误差为8.1%。在满足工程误差允许前提下,该方法相对于传统边界元模拟电荷法运算速度快、内存消耗少、计算精确度高,适合于求解大尺度多未知量、多自由度的工频电场计算问题。

英文摘要：

To raise the low computation efficiency existed in calculation of power frequency electric field（PFEF） of the key devices in substation,a hybrid technique combining the fast multi-pole method（FMM）,the boundary element method（BEM） and charge simulation method（CSM） has been proposed to solve PFEF of multi-medium problem.The calculation model for PFEF of the key devices in substation is built according to the principle of BEM and CSM.The fast algorithm is presented for multi-medium PFEF problem based on the characteristic of FMM accelerating the product between the matrix and the vector.Take the switch in 500kV substation for example and the distribution of potential field is calculated.The result shows as follow： Comparing calculation results of FMM BEM and CSM with results simulated by Integrated Engineering Software（IES）,the max relative error is only 8.1%.FMM,BEM and CSM is much faster and more efficient than the traditional BEM and CSM in the computational cost and the storage of the computer on the promise of engineering error.So this method can be used in large DOF and numerous unknown parameter potential field problems.