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
裴正廷1
作者信息
- 1. 河北燃气有限公司,河北石家庄 050011
- 折叠
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.
Abstract
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 calcula-tion applying the proposed algorithm to transmission lines and large power transformer windings was conducted.The sta-bility 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 cal-culation,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Key words
electromagnetic transient/LSD algorithm/system of differential equations with constant coefficients/CDA algorithm引用本文复制引用
出版年
2024
NETL
NSTL
万方数据