基于二步二阶边界值法的电磁暂态并行算法  

Parallel Algorithm of Electromagnetic Transient Using Two-Step Second-Order Boundary Value Method

作　　者：李博文 张磊[1] 叶宇国 张静 LI Bowen;ZHANG Lei;YE Yuguo;ZHANG Jing(College of Electrical Engineering and New Energy,China Three Gorges University,Yichang 443002,China;Zaoyang Power Supply Company,State Grid Corporation of Hubei Province,Zaoyang 441200,China)

机构地区：[1]三峡大学电气与新能源学院,湖北宜昌443002 [2]国网湖北省电力公司枣阳供电公司,湖北枣阳441200

出　　处：《重庆理工大学学报（自然科学）》2021年第2期226-233,共8页Journal of Chongqing University of Technology：Natural Science

基　　金：湖北省自然科学基金项目(Z2019240)。

摘　　要：为了提高电力系统电磁暂态数值计算的效率,提出了一种基于二步二阶边界值法的并行计算方法。该方法利用二步二阶边界值法对微分方程进行离散,离散后的雅克比矩阵是分块三对角矩阵,将初始矩阵重新排列。通过一个耦合矩阵,将高维雅克比矩阵分解为低维的、相互独立的子矩阵,从而允许并行计算。理论分析与结果表明,二步二阶边界值并行算法有着良好的加速效果,能显著提高电磁暂态仿真的计算效率。In order to improve the efficiency of electromagnetic transient numerical calculation,a parallel calculation method based on two-step second-order boundary value method was proposed.This method uses the two-step second-order boundary value method to discretize the differential equation,and rearranges the initial matrix according to the fact that the Jacobian matrix after discretization is a block-tridiagonal matrix.Through a coupling matrix,the high-dimensional Jacobian matrix is decomposed into low-dimensional,independent submatrix,which allows parallel computation.The theoretical analysis and results show that the two-step second-order boundary value parallel method has a good acceleration effect and can significantly improve the efficiency of electromagnetic transient simulation.

关 键 词：电磁暂态 数值计算 边界值方法 块三对角矩阵 并行算法 

分 类 号：TM711[电气工程—电力系统及自动化]