基于多级高阶微分求积法的非线性电磁暂态快速仿真研究  

Rapid simulation research of nonlinear electromagnetic transient based on multilevel high-order differential quadrature method

作　　者：张静 叶婧[1] 殷明 李博文 Zhang Jing;Ye Jing;Yin Ming;Li Bowen(School of Electrical Engineering&New Energy,China Three Gorges University,Yichang 443002,Hubei,China;Suizhou Power Supply Company,State Grid Hubei Electric Power Co.,Ltd.,Suizhou 441300,Hubei,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：《电测与仪表》2023年第2期60-68,共9页Electrical Measurement & Instrumentation

基　　金：国家自然科学基金资助项目(52007103);湖北省自然科学基金资助项目(2019CFB331)。

摘　　要：为了提高电力系统电磁暂态数值计算速度,将s级微分求积法应用在电磁暂态仿真中,提出了一种新的电磁暂态快速计算方法。所提算法结合V变换特点对因引入内点而增维的矩阵进行分块处理,避免对增维矩阵直接求逆,并利用子矩阵为下三角结构的优势,将大规模矩阵的求逆计算转换为简单的前代运算以及小规模矩阵的求逆计算,从而提高了基于微分求积法的电磁暂态计算效率。算例表明,针对线性时变和非线性电力系统,该算法均可以获得有效加速比。In order to improve the numerical calculation speed of the electromagnetic transient of power system, the s-order differential quadrature method is applied to the simulation of the electromagnetic transient, and a novel fast calculation method of the electromagnetic transient is proposed in this paper. Combined with the characteristics of V transformation, the proposed algorithm blocks the matrix with increased dimension due to the introduction of internal points, so as to avoid the direct inverse of the increased dimension matrix. With the advantage of submatrix as lower triangular structure, the inverse calculation of large-scale matrix is transformed into simple pre-generation operation and the inverse calculation of small-scale matrix, thus improving the efficiency of electromagnetic transient calculation based on differential quadrature method. Numerical examples show that the proposed algorithm can obtain the effective acceleration ratio for both linear time-varying and nonlinear power systems.

关 键 词：电磁暂态 微分求积法 分块处理 加速比 

分 类 号：TM743[电气工程—电力系统及自动化]