传输线系统电磁暂态过程的FD-WENO计算格式  

FD-WENO Calculation Format for Electromagnetic Transient Processes in Transmission Line Systems

作　　者：付琪 王永 付兆隆 张磊[1] FU Qi;WANG Yong;FU Zhao-long;ZHANG Lei(College of Electrical Engineering&New Energy,China Three Gorges University,Yichang Hubei 443002,China;UHV Converter Station Branch,State Grid Shanghai Municipal Electric Power Company,Shanghai 201413,China)

机构地区：[1]三峡大学电气与新能源学院,湖北宜昌443002 [2]国网上海市电力公司特高压换流站分公司,上海201413

出　　处：《计算机仿真》2025年第2期56-61,117,共7页Computer Simulation

基　　金：国家自然科学基金资助项目(52007103);国网上海市电力公司科技项目(B3090V220001)。

摘　　要：传输线系统的数学模型是一个典型双曲偏微分方程,求解传输线系统电磁暂态过程常用的数值方法是时域有限差分FDTD方法。但是,当传输线系统状态变量在时域上存在间断时,FDTD方法在间断点处会产生非物理振荡。此外,常用传输线系统分布参数等值电路模型的空间离散存在精度不高的问题。为此,提出在空间上采用高阶WENO差分格式对传输线系统方程进行离散,在时间上采用TVD-RK格式对空间离散后的传输线系统进行逐步数值积分。通过将所提算法与PSCAD软件的仿真结果进行对比分析,仿真结果验证了所提算法的有效性。The mathematical model of the transmission line system is a typical hyperbolic partial differential equation.The commonly used numerical method to solve the electromagnetic transient process of the transmission line system is the finite-difference time-domain FDTD method.However,when there are discontinuities in the state variables of the transmission line system in the time domain,the FDTD method will generate nonphysical oscillations at the discontinuities.In addition,the spatial discretization of commonly used transmission line system distributed parameter equivalent circuit models has a problem of low accuracy.For this reason,the paper proposes to use the higher-order WENO difference scheme to discretize the equations of the transmission line system in space,and use the TVD-RK scheme to gradually integrate the discrete transmission line system in time.By comparing and analyzing the simulation results of the proposed algorithm and PSCAD software,the simulation results verify the effectiveness of the proposed algorithm.

关 键 词：传输线系统 电磁暂态 仿真 

分 类 号：TM743[电气工程—电力系统及自动化]