用于电磁暂态计算的一种高精度快速积分算法  

A High Precision Rapid Integral Algorithm for Electromagnetic Transient Calculation

作　　者：裴正廷 PEI Zhengting(Hebei Gas Co.,Ltd.,Shijiazhuang 050011,China)

机构地区：[1]河北燃气有限公司,河北石家庄050011

出　　处：《电工技术》2024年第18期23-28,共6页Electric Engineering

摘　　要：为提高电力系统中电磁暂态的计算效率,提出一种高精度大步长积分的LSD算法。首先描述电力系统电磁暂态现象的状态空间表达式通过矩阵运算变换成一阶常系数微分方程组,然后利用LSD积分算法对其进行数值求解,最后将该算法用于输电线路和大型电力变压器绕组的电磁暂态计算,结果表明该算法的稳定性与仿真时间步长无关,可利用大步长进行数值运算以提高计算效率。与小步长计算的CDA算法相比,该算法在保持精度的基础上,在一定程度上可抑制数值振荡。In order to improve the calculation efficiency of electromagnetic transients in power systems,a high-precision large-step integral LSD algorithm was proposed.First the state-space expression describing the electromagnetic transient phenomenon of power system was transformed into a first-order constant coefficient differential equation system through matrix operation,which was then solved by using the LSD integral algorithm.Finally an electromagnetic transient calculation applying the proposed algorithm to transmission lines and large power transformer windings was conducted.The stability of the algorithm was found to have no relationship with simulation time step,thereby large steps could be used to perform numerical calculations to improve calculation efficiency.Compared with the CDA algorithm of small step size calculation,the proposed one achieved suppressed numerical oscillation to a certain extent while maintaining accuracy.

关 键 词：电磁暂态 LSD算法 常系数微分方程组 CDA算法 

分 类 号：TM733[电气工程—电力系统及自动化]