Numerical calculation of grounding system buried in vertical earth model in low frequency domain based on the boundary element method

To solve a grounding problem which describes a grounding system with floating metallic conductors buried in vertical multilayer earth model under a high voltage a.c. substation, a new mathematical model for accurately computing currents flowing along conductors of the grounding system has been developed in this paper, which is hybrid of Galerkin's type Boundary Element Method and conventional nodal analysis method. Propagation effect of electromagnetic wave within the substation has been neglected due to its limited area. A quasi-static complex image method and new closed form of Green's function for the vertical multilayer earth model are introduced into this model to accelerate mutual impedance and induction coefficients calculation. The model is then implemented in a computer program, which can be used to calculate currents distribution of any configuration of grounding system, and with or without floating metallic conductors buried in the vertical multilayer earth model. Copyright © 2008 John Wiley & Sons, Ltd.

[1]  Fermín Navarrina,et al.  Computer analysis of earthing systems in horizontally or vertically layered soils , 2001 .

[2]  I. Colominas,et al.  A Numerical Formulation for Grounding Analysis in Stratified Soils , 2002, IEEE Power Engineering Review.

[3]  L. Stefanović,et al.  An improved linear grounding system analysis in two-layer earth , 1996 .

[4]  A. F. Otero,et al.  Frequency-dependent grounding system calculation by means of a conventional nodal analysis technique , 1999 .

[5]  Zhong-Xin Li,et al.  Numerical simulation of substation grounding grids buried in both horizontal and vertical multilayer earth model , 2007 .

[6]  Predrag D. Rančić,et al.  Analysis of linear ground electrodes placed in vertical three-layer earth , 1996 .

[7]  Jiayu Lu,et al.  A novel mathematical modeling of grounding system buried in multilayer Earth , 2006 .

[8]  D. G. Kasten,et al.  Modeling of ground grid and metallic structure currents in high voltage a.c. substations for the computation of electromagnetic fields , 2001 .

[9]  Jiansheng Yuan,et al.  The complex image method and its application in numerical simulation of substation grounding grids , 1999 .

[10]  J. Sverak,et al.  Safe Substation Grounding-Part I , 1981, IEEE Transactions on Power Apparatus and Systems.

[11]  A.P.S. Melipoulos,et al.  An advanced computer model for grounding system analysis , 1993 .

[12]  aobert Heppe,et al.  Computation of Potential at Surface Above an Energized Grid or Other Electrode, Allowing for Non-Uniform Current Distribution , 1979, IEEE Transactions on Power Apparatus and Systems.

[13]  Fermín Navarrina,et al.  A boundary element numerical approach for grounding grid computation , 1999 .

[14]  Zhong‐Xin Li,et al.  Numerical calculation of grounding system in low‐frequency domain based on the boundary element method , 2008 .

[15]  Vertical ground rod (VGR) in inhomogeneous earth of sectoral type , 1994 .

[16]  Wei-Jiang Chen,et al.  Numerical simulation grounding system buried within horizontal multilayer earth in frequency domain , 2006 .

[17]  F. Dawalibi Electromagnetic Fields Generated by Overhead and Buried Short Conductors Part 2 - Ground Networks , 1986, IEEE Transactions on Power Delivery.

[18]  Mauro Zucca,et al.  Boundary element approach for the analysis and design of grounding systems in presence of nonhomogeneousness , 2003 .