基于Radau Ⅱ A法的电磁暂态并行计算  

Parallel Calculation of Electromagnetic Transient Based on Radau Ⅱ A Method

作　　者：张静 殷明 叶婧[1] 李博文 ZHANG Jing;YIN Ming;YE Jing;LI Bo-wen(College of Electrical Engineering&New Energy,China Three Gorges University,Yichang Hubei 443002,China;State Grid Corporation of Hubei Province Suizhou Power Supply Company,Suizhou Hubei 441300,China)

机构地区：[1]三峡大学电气与新能源学院,湖北宜昌443002 [2]国网湖北省电力有限公司随州供电公司,湖北随州441300

出　　处：《计算机仿真》2022年第12期131-136,244,共7页Computer Simulation

基　　金：国家自然科学基金(52007103)。

摘　　要：为了提高电力系统电磁暂态计算速度,提出一种将2级3阶Radau Ⅱ A法与Sherman-Morrison矩阵求逆公式相结合的电磁暂态并行计算方法。利用Radau Ⅱ A法在时间网格点上连续离散,并采用严格牛顿法求解离散后的非线性方程组,对得到的高维雅可比矩阵进行分块处理,同时结合Sherman-Morrison公式求解。所提算法实现了并行求逆,且基于分块原因,进一步减少了计算量。利用并行计算单元对两个算例进行测试,其结果表明所提算法可以有效提高Radau Ⅱ A法的电磁暂态计算速度。In order to increase the calculation speed of electromagnetic transient in the power system, a parallel electromagnetic transient calculation method is proposed, which combines the 2-stage and 3-order Radau Ⅱ A method with the Sherman-Morrison formula. The Radau Ⅱ A method was used to continuously discretize the time grid points, and the Full Newton method was used to solve the discrete nonlinear equations. The obtained high-dimensional Jacobian matrix was partitioned and solved by Sherman Morrison formula. Through two tests, using parallel computing units, it was proved that the algorithm in this paper can effectively improve the electromagnetic transient calculation speed based on Radau Ⅱ A method.

关 键 词：电磁暂态 并行计算 分块处理 

分 类 号：TM743[电气工程—电力系统及自动化]