基于高斯精细积分法的输电线路电磁暂态计算  

Gauss Precise Integration Method for Electromagnetic Transient Calculation of Transmission Lines

作　　者：胡洁 邹念佐 HU Jie;ZOU Nian-zuo(College Of Eleetrical Engineering ＆ New Energy, China Three Georges University, Yichang, Hubei, 443002, Chin)

机构地区：[1]三峡大学电气与新能源学院,湖北宜昌443002

出　　处：《计算技术与自动化》2017年第4期51-53,共3页Computing Technology and Automation

摘　　要：采用高斯精细积分法计算输电线路电磁暂态问题。将输电线路先在空间上离散,从而在时域中成为了一组的半离散状态的非齐次常微分方程。对于非齐次方程求特解问题上采用了高斯积分法,避免了矩阵求逆的困难,数值精度取决于积分点选取的数量,理论上可以达到任意精度。在求通解方面上采用了矩阵运算技巧,大大减少了运算量。算例分析证明了该方法的有效性。This paper presents a Gauss precise integration method in order to solve the problem of the Electromagnetic transient calculation of the transmission line.The transmission lines are first spatially discrete, thus becoming a set of semi-discrete non-homogeneous ordinary differential equations in the time domain.The Gauss precise time-integration method is used to solve the problem of nonhomogeneous equation avoiding the difficulty of matrix inversion.The numerical precision depends on the number of integration points.Theoretically, arbitrary precision can be achieved.The matrix operation technique is applied to solve the problem, which greatly reduces the computational complexity.Two examples are given to demonstrate the validity and efficiency of the method.

关 键 词：输电线路 电磁暂态 精细积分方法 高斯积分 

分 类 号：TM744[电气工程—电力系统及自动化]