The Approximate Expression of Power Flow Jacobian Matrix and Analysis

被引:0
|
作者
Xu, Zhiyou [1 ]
Jia, Qingquan [2 ]
Li, Liu [1 ]
机构
[1] Shengyang Inst Engn, Dept Elect Engn, Shenyang 110136, Peoples R China
[2] Yanshan Univ, QinHuangDao 066004, Peoples R China
关键词
power system; power flow Jacobian matrix; (skew-)symmetric matrix; block Gerschgorin theorem; SVD(singular value decomposition);
D O I
暂无
中图分类号
TE [石油、天然气工业]; TK [能源与动力工程];
学科分类号
0807 ; 0820 ;
摘要
In order to evaluate the approximate expression of power flow Jacobian matrix, some indices are established according to the relation of singular values between the symmetric part and skew-symmetric part of power flow Jacobian matrix. The comparisons of indices not only include the comparisons of 2-norm and F-norm, but also include the comparisons of the weighted sum of singular values these indices can also be applicable to complex matrix. The simulations on IEEE30 system show the effectiveness.
引用
收藏
页码:2336 / +
页数:2
相关论文
共 50 条
  • [41] Jacobian Matrix Derived from Cross Product and its Application into High Power Joint Mechanism Analysis
    Nishida, Yuya
    Sonoda, Takashi
    Ishii, Kazuo
    JOURNAL OF BIONIC ENGINEERING, 2010, 7 : S218 - S223
  • [42] Jacobian Matrix Derived from Cross Product and its Application into High Power Joint Mechanism Analysis
    Yuya Nishida
    Takashi Sonoda
    Kazuo Ishii
    Journal of Bionic Engineering, 2010, 7 : S218 - S223
  • [43] An Approximate Power Flow for Distribution Systems
    Mena, A. J. G.
    Garcia, J. A. M.
    IEEE LATIN AMERICA TRANSACTIONS, 2014, 12 (08) : 1432 - 1440
  • [44] A secular equation for the jacobian matrix of certain multispecies kinematic flow models
    Departament de Matemàtica Aplicada, Universitat de València, 46100-Burjassot , Spain
    Numer Methods Partial Differential Equations, 1600, 1 (159-175):
  • [45] Reactive power redispatch for loss reduction using a modified power flow Jacobian
    Zambroni de Souza, A. C.
    Leme, R.
    Lo, K. L.
    Stacchini de Souza, J. C.
    Almeida, A. B.
    IET GENERATION TRANSMISSION & DISTRIBUTION, 2012, 6 (07) : 657 - 664
  • [46] Power Flow Jacobian Matrix Based Static Voltage Stability Forecast by CNN Considering Extremely High PV Penetration
    Wu, Qianhong
    Han, Bei
    Li, Guojie
    Wang, Keyou
    Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2021, 41 (12): : 4058 - 4067
  • [47] A Secular Equation for the Jacobian Matrix of Certain Multispecies Kinematic Flow Models
    Donat, Rosa
    Mulet, Pep
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (01) : 159 - 175
  • [48] Structural Properties of V-Q Jacobian Matrix and Voltage Stability Analysis of Power Network With Photovoltaic Penetration
    Hao W.
    Huang Z.
    Lu J.
    Zhou Y.
    Liao S.
    Wang X.
    Chen M.
    Gan D.
    Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering, 2023, 43 (05): : 1719 - 1729
  • [49] Analysis of Deep Neural Networks with the Extended Data Jacobian Matrix
    Wang, Shengjie
    Mohamed, Abdel-rahman
    Caruana, Rich
    Bilmes, Jeff
    Plilipose, Matthai
    Richardson, Matthew
    Geras, Krzysztof
    Urban, Gregor
    Aslan, Ozlem
    INTERNATIONAL CONFERENCE ON MACHINE LEARNING, VOL 48, 2016, 48
  • [50] On-line voltage stability analysis based on approximate continuation power flow
    State Key Lab. of Power System, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China
    Dianli Xitong Zidonghue, 2008, 11 (6-11):