摘要
兼顾输电线路电磁暂态仿真的计算效率和数值振荡问题,文中为此采用改进块隐式单步法用于输电线路电磁暂态仿真中。首先,详细地推导出了基于Padé逼近和不同网格分布的改进块隐式单步法的L-稳定格式。经验证改进s级块隐式单步法具有s+1精度,因此当输电线路的状态变量方程的系数矩阵的特征值实部均为负数时,该离散迭代格式就可以采用大时间步长稳定求解传输线的暂态过程。仿真结果表明:改进块方法本身具有数值阻尼,从而可以有效地抑制数值振荡,相较于小时间步长的隐式梯形积分法具有较高的仿真效率。
With consideration of calculation efficiency and numerical oscillation of electromagnetic transient simulation of transmission lines,the improved block implicit single-step method for electromagnetic transient simulation of transmission lines is used in this paper.Firstly,the L-stable format of improved block implicit single-step method based on Padé approximation and different grid distributions is derived in detail.It is verified that that the improved s-stage block implicit single-step method has s+1 accuracy.Therefore,when the real part of the eigenvalues of the coefficient matrix of the state variable equation of the transmission line is negative,the discrete iterative format can adopt a large time-step for solving the transient process of the transmission line.It is shown by the simulation result that the improved block method itself has numerical damping,which can effectively suppress numerical oscillation,and compared with the implicit trapezoidal integration method with small time-step,has higher simulation efficiency.
作者
张磊
徐加宝
卢天林
朱泽伟
ZHANG Lei;XU Jiabao;LU Tianlin;ZHU Zewei(College of Electrical Engineering&New Energy,China Three Gorges University,Hubei Yichang 443002,China)
出处
《高压电器》
CAS
CSCD
北大核心
2021年第4期134-141,共8页
High Voltage Apparatus
基金
国家自然科学基金资助项目(52007103)
湖北省自然科学基金(2019CFB331)。
关键词
PADÉ逼近
输电线路
电磁暂态
块方法
数值振荡
Padé approximation
transmission line
electromagnetic transients
block method
numerical oscillation
