NON-SYMMETRIC FINITE NETWORKS: THE TWO-POINT RESISTANCE

被引:9
|
作者
Cernanova, Viera [1 ]
Brenkus, Juraj [2 ]
Stopjakova, Viera [2 ]
机构
[1] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Inst Comp Sci & Math, Bratislava, Slovakia
[2] Slovak Univ Technol Bratislava, Fac Elect Engn & Informat Technol, Inst Elect & Photon, Bratislava, Slovakia
关键词
electronic circuit; fault analysis; non-symmetric Laplacian matrix; resistance computation;
D O I
10.2478/jee-2014-0045
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
An explicit formula for the resistance between two nodes in a network described by non-symmetric Laplacian matrix L is obtained. This is of great advantage eg in electronic circuit fault analysis, where non-linear systems have to be solved repeatedly. Analysis time can be greatly reduced by utilization of the obtained formula. The presented approach is based on the "mutual orthogonality" of the full system of left and right-hand eigenvectors of a diagonalizable matrix L. Simple examples are given to demonstrate the accuracy of this approach to circuit networks.
引用
收藏
页码:283 / 288
页数:6
相关论文
共 50 条
  • [31] A non-symmetric coupling of the finite volume method and the boundary element method
    Erath, Christoph
    Of, Guenther
    Sayas, Francisco-Javier
    [J]. NUMERISCHE MATHEMATIK, 2017, 135 (03) : 895 - 922
  • [32] A non-symmetric coupling of the finite volume method and the boundary element method
    Christoph Erath
    Günther Of
    Francisco-Javier Sayas
    [J]. Numerische Mathematik, 2017, 135 : 895 - 922
  • [33] On a class of non-symmetric diffusions containing fully non-symmetric distorted Brownian motions
    Trutnau, G
    [J]. FORUM MATHEMATICUM, 2003, 15 (03) : 409 - 437
  • [34] On non-symmetric commutative association schemes with exactly one pair of non-symmetric relations
    Chia, G. L.
    Kok, W. K.
    [J]. DISCRETE MATHEMATICS, 2006, 306 (24) : 3189 - 3222
  • [35] Two-Point Resistance on the Centered-Triangular Lattice
    Owaidat, M. Q.
    Al-Badawi, A. A.
    Asad, J. H.
    Al-Twiessi, Mohammed
    [J]. CHINESE PHYSICS LETTERS, 2018, 35 (02)
  • [36] Two-point resistance of a resistor network embedded on a globe
    Tan, Zhi-Zhong
    Essam, J. W.
    Wu, F. Y.
    [J]. PHYSICAL REVIEW E, 2014, 90 (01):
  • [37] Two-point linearization method for the analysis of pipe networks
    van Zyl, Jakobus E.
    Kumar, Prabhat
    Gupta, Mayank
    [J]. JOURNAL OF HYDRAULIC ENGINEERING, 2008, 134 (08) : 1176 - 1179
  • [38] Two-Point Resistance on the Centered-Triangular Lattice
    M.Q.Owaidat
    A.A.Al-Badawi
    J.H.Asad
    Mohammed Al-Twiessi
    [J]. Chinese Physics Letters, 2018, 35 (02) : 12 - 16
  • [39] The two-point capacitance of infinite triangular and honeycomb networks
    Owaidat, Mohammad Q.
    Hijjawi, Ra'ad S.
    Asad, Jihad H.
    Khalifeh, Jamil M.
    [J]. EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS, 2014, 68 (01):
  • [40] Regular symmetric arrays for non-symmetric functions
    Chrzanowska-Jeske, M
    [J]. ISCAS '99: PROCEEDINGS OF THE 1999 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOL 1: VLSI, 1999, : 391 - 394