Application of Improved Block Method Based on Padé Approximation in Electromagnetic Transients Simulation

ZHANG Lei; XU Jiabao; LU Tianlin; ZHU Zewei

doi:10.13296/j.1001-1609.hva.2021.04.020

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Application of Improved Block Method Based on Padé Approximation in Electromagnetic Transients Simulation

更新时间：2025-04-26

- Application of Improved Block Method Based on Padé Approximation in Electromagnetic Transients Simulation
- High VoltageApparatus Vol. 57, Issue 4, Pages: 134-141(2021)
- 作者机构：
  
  三峡大学电气与新能源学院
- 作者简介：
- 基金信息：
- DOI：10.13296/j.1001-1609.hva.2021.04.020
  CLC： TM743
- Published：2021
- 稿件说明：
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[1]张磊,徐加宝,卢天林,朱泽伟.基于Padé逼近的改进块方法在电磁暂态仿真中的应用[J].高压电器,2021,57(04):134-141.

ZHANG Lei, XU Jiabao, LU Tianlin, et al. Application of Improved Block Method Based on Padé Approximation in Electromagnetic Transients Simulation[J]. High voltageapparatus, 2021, 57(4): 134-141.
[1]张磊,徐加宝,卢天林,朱泽伟.基于Padé逼近的改进块方法在电磁暂态仿真中的应用[J].高压电器,2021,57(04):134-141. DOI： 10.13296/j.1001-1609.hva.2021.04.020.

ZHANG Lei, XU Jiabao, LU Tianlin, et al. Application of Improved Block Method Based on Padé Approximation in Electromagnetic Transients Simulation[J]. High voltageapparatus, 2021, 57(4): 134-141. DOI： 10.13296/j.1001-1609.hva.2021.04.020.

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。

Abstract

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 Padéapproximation 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.

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