High-efficiency Eigenvalue Calculation Method for Large-scale Time-delay Power System Based on Partial Infinitesimal Generator Discretization with Implicit Runge-Kutta

JIA Xiaofan; YE Hua; LIU Yutian; LIU Muyang

doi:10.7500/AEPS20220624006

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High-efficiency Eigenvalue Calculation Method for Large-scale Time-delay Power System Based on Partial Infinitesimal Generator Discretization with Implicit Runge-Kutta

Basic Research | 更新时间：2023-06-19

- High-efficiency Eigenvalue Calculation Method for Large-scale Time-delay Power System Based on Partial Infinitesimal Generator Discretization with Implicit Runge-Kutta
- Automation of Electric Power Systems Vol. 47, Issue 12, Pages: 95-102(2023)
- 作者机构：
  
  1.电网智能化调度与控制教育部重点实验室(山东大学),山东省济南市250061
  2.新疆大学电气工程学院,新疆维吾尔自治区乌鲁木齐市830046
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(52077126)
- DOI：10.7500/AEPS20220624006
  CLC：
- Received：24 June 2022，
  
  Revised：2022-09-14，
  
  Published Online：29 January 2023，
  
  Published：25 June 2023
- 稿件说明：
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贾小凡,叶华,刘玉田等.基于PIGD-IRK的大规模时滞电力系统特征值高效计算方法[J].电力系统自动化,2023,47(12):95-102.

JIA Xiaofan,YE Hua,LIU Yutian,et al.High-efficiency Eigenvalue Calculation Method for Large-scale Time-delay Power System Based on Partial Infinitesimal Generator Discretization with Implicit Runge-Kutta[J].Automation of Electric Power Systems,2023,47(12):95-102.
贾小凡,叶华,刘玉田等.基于PIGD-IRK的大规模时滞电力系统特征值高效计算方法[J].电力系统自动化,2023,47(12):95-102. DOI： 10.7500/AEPS20220624006.

JIA Xiaofan,YE Hua,LIU Yutian,et al.High-efficiency Eigenvalue Calculation Method for Large-scale Time-delay Power System Based on Partial Infinitesimal Generator Discretization with Implicit Runge-Kutta[J].Automation of Electric Power Systems,2023,47(12):95-102. DOI： 10.7500/AEPS20220624006.

摘要

电力系统控制回路中固有的时滞会影响控制器的性能，甚至危害系统的稳定运行。为此，提出了一种基于无穷小生成元隐式龙格-库塔部分离散化（PIGD-IRK）的特征值计算方法，用以分析时滞对大规模电力系统小干扰稳定性的影响。首先

分析了制约无穷小生成元隐式龙格-库塔离散化（IGD-IRK）方法计算效率的瓶颈；然后

应用部分谱离散化思想大幅度降低其构造的无穷小生成元离散化矩阵的维数；接着，利用离散化矩阵的结构特点将其从阶梯型分块矩阵相似变换为常数矩阵的逆和分块上三角矩阵的乘积，从而可在特征值计算过程中充分利用离散化矩阵和系统增广状态矩阵的稀疏特性。最后，通过四机两区域系统和2个实际电网的计算结果验证了所提方法的准确性和高效性。

Abstract

The inherent time delays in the control loops of power systems will affect the performances of controllers and even endanger the stable operation of the system. Therefore

an eigenvalue calculation method based on the partial infinitesimal generator discretization with implicit Runge-Kutta (PIGD-IRK) is proposed for analyzing the effect of time delays on small disturbance stability of large-scale power systems. Firstly

the bottlenecks that restrict the computational efficiency of infinitesimal generator discretization with implicit Runge-Kutta (IGD-IRK) are analyzed. Secondly

by applying the partial spectral discretization idea

the dimension of the infinitesimal generator discretization matrix constructed by IGD-IRK is greatly reduced. Thirdly

the echelon block discretization matrix is further transformed into the product of the inverse of a constant matrix and an upper triangular block matrix by taking advantage of its structural characteristics

thus the sparsity of the discretization matrix and system augmented state matrix can be fully used in the process of eigenvalue calculation. Finally

the accuracy and high efficiency of the proposed method are verified on a two-area four-machine system and two actual power systems.

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references

ZHANG F ， SUN Y Z ， CHENG L ， et al . Measurement and modeling of delays in wide-area closed-loop control systems ［J］. IEEE Transactions on Power Systems ， 2015 ， 30 （ 5 ）： 2426 - 2433 .

LUO H C ， HISKENS I A ， HU Z C . Stability analysis of load frequency control systems with sampling and transmission delay ［J］. IEEE Transactions on Power Systems ， 2020 ， 35 （ 5 ）： 3603 - 3615 .

郭春义，彭意，徐李清，等 . 考虑延时影响的MMC-HVDC系统高频振荡机理分析［J］. 电力系统自动化， 2020 ， 44 （ 22 ）： 119 - 126 .

GUO Chunyi ， PENG Yi ， XU Liqing ， et al . Analysis on high-frequency oscillation mechanism for MMC-HVDC system considering influence of time delay ［J］. Automation of Electric Power Systems ， 2020 ， 44 （ 22 ）： 119 - 126 .

MILANO F ， ANGHEL M . Impact of time delays on power system stability ［J］. IEEE Transactions on Circuits and Systems I： Regular Papers ， 2012 ， 59 （ 4 ）： 889 - 900 .

GHOSH S ， FOLLY K A ， PATEL A . Synchronized versus non-synchronized feedback for speed-based wide-area PSS： effect of time-delay ［J］. IEEE Transactions on Smart Grid ， 2018 ， 9 （ 5 ）： 3976 - 3985 .

郭贤珊，刘泽洪，李云丰，等 . 柔性直流输电系统高频振荡特性分析及抑制策略研究［J］. 中国电机工程学报， 2020 ， 40 （ 1 ）： 19 - 29 .

GUO Xianshan ， LIU Zehong ， LI Yunfeng ， et al . Characteristic analysis of high-frequency resonance of flexible high voltage direct current and research on its damping control strategy ［J］. Proceedings of the CSEE ， 2020 ， 40 （ 1 ）： 19 - 29 .

杜夏冰，赵成勇，吴方劼，等 . LCC-HVDC系统混合型有源滤波器谐振抑制策略［J］. 电力系统自动化， 2021 ， 45 （ 4 ）： 115 - 122 .

DU Xiabing ， ZHAO Chengyong ， WU Fangjie ， et al . Resonance suppression strategy of hybrid active power filter in LCC-HVDC system ［J］. Automation of Electric Power Systems ， 2021 ， 45 （ 4 ）： 115 - 122 .

叶华，霍健，刘玉田 . 基于Pade近似的时滞电力系统特征值计算方法［J］. 电力系统自动化， 2013 ， 37 （ 7 ）： 25 - 30 .

YE Hua ， HUO Jian ， LIU Yutian . A method for computing eigenvalue of time-delayed power systems based on Pade approximation ［J］. Automation of Electric Power Systems ， 2013 ， 37 （ 7 ）： 25 - 30 .

贾宏杰，尚蕊，张宝贵 . 电力系统时滞稳定裕度求解方法［J］. 电力系统自动化， 2007 ， 31 （ 2 ）： 5 - 11 .

JIA Hongjie ， SHANG Rui ， ZHANG Baogui . Computation of delay stability margin of electric power systems ［J］. Automation of Electric Power Systems ， 2007 ， 31 （ 2 ）： 5 - 11 .

ENGELBORGHS K ， ROOSE D . On stability of LMS methods and characteristic roots of delay differential equations ［J］. IMA Journal of Numerical Analysis ， 2002 ， 40 （ 2 ）： 629 - 650 .

BREDA D ， MASET S ， VERMIGLIO R . Computing the characteristic roots for delay differential equations ［J］. IMA Journal of Numerical Analysis ， 2004 ， 24 （ 1 ）： 1 - 19 .

YE H ， LIU Y T ， ZHANG P . Efficient eigen-analysis for large delayed cyber-physical power system using explicit infinitesimal generator discretization ［J］. IEEE Transactions on Power Systems ， 2016 ， 31 （ 3 ）： 2361 - 2370 .

YE H ， GAO W K ， MOU Q Y ， et al . Iterative infinitesimal generator discretization-based method for eigen-analysis of large delayed cyber-physical power system ［J］. Electric Power Systems Research ， 2017 ， 143 ： 389 - 399 .

YE H ， LI T R ， LIU Y T . Time integration-based IGD methods for eigen-analysis of large delayed cyber-physical power system ［J］. IEEE Transactions on Power Systems ， 2020 ， 35 （ 2 ）： 1376 - 1388 .

MOU Q Y ， YE H ， LIU Y T . Enabling highly efficient eigen-analysis of large delayed cyber-physical power systems by partial spectral discretization ［J］. IEEE Transactions on Power Systems ， 2020 ， 35 （ 2 ）： 1499 - 1508 .

姜懿郎，贾宏杰，姜涛，等 . 电力系统单时滞稳定裕度求解模型简化方法［J］. 电力系统自动化， 2014 ， 38 （ 2 ）： 46 - 52 .

JIANG Yilang ， JIA Hongjie ， JIANG Tao ， et al . A model simplification method for solving stability margin of power system with single time-delay ［J］. Automation of Electric Power Systems ， 2014 ， 38 （ 2 ）： 46 - 52 .

MASON J C ， HANDSCOMB D . Chebyshev polynomials ［M］. Boca Raton， USA ： CRC Press LLC ， 2003 .

VYHLIDAL T ， ZITEK P . Mapping based algorithm for large-scale computation of quasi-polynomial zeros ［J］. IEEE Transactions on Automatic Control ， 2009 ， 54 （ 1 ）： 171 - 177 .

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