基于矩阵对角化的电磁暂态时间并行计算方法  

Parallel-in-Time Algorithm for Electromagnetic Transient Numerical Simulation Based on Matrix Diagonalization

作　　者：汪芳宗[1] 王永[1] 宋墩文[2] 杨学涛[2] 宋新立[2] 

机构地区：[1]三峡大学电气与新能源学院,湖北省宜昌市443002 [2]中国电力科学研究院,北京市海淀区100192

出　　处：《电网技术》2017年第8期2521-2527,共7页Power System Technology

基　　金：国家自然科学基金项目(51377098)~~

摘　　要：为提高电力系统电磁暂态数值计算的效率,在采用经典的临界阻尼调整算法的基础上,利用系数矩阵的实特征值分解即矩阵对角化方法,提出了一类新的电磁暂态时间并行计算方法。对线性微分系统或非线性微分系统,所提算法均可以实现精确的时间解耦并行计算。算例测试结果表明:所提出的算法具有很好的并行性,可以获得有效的加速比,因而可以显著提高电力系统电磁暂态数值仿真计算的效率及实时性。In order to improve efficiency of electromagnetic transient numerical calculation of power system, a new parallel-in-time algorithm is proposed using classic critical damping adjustment algorithm and matrix real eigenvalue decomposition. For linear or nonlinear differential systems, the proposed algorithm always achieves accurate time decoupling and parallel computation. Computation example results show that the proposed algorithm has good time parallelism and obtains valuable speed-up ratio, greatly improving efficiency and real-time performance in electromagnetic transient numerical simulation of power system.

关 键 词：电磁暂态 数值计算 临界阻尼调整 特征值分解 矩阵对角化 时间并行算法 

分 类 号：O412.1[理学—理论物理]