Method of moments in analysis of grounding systems

Berberović, Sead; Haznadar, Zijad; Štih, Željko

doi:10.1016/s0955-7997(02)00123-6

Cited by 16 publications

(17 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For the other situations, such as when the source and observation points are in different layers or when they are both in the lower layer of double-layer soil, Green's function has a different form that can be found in Berberovic et al [11].…”

Section: Electrode Potential and Current Density Calculationmentioning

confidence: 99%

Calculation of the protective current density distribution of a cathodic protection system with galvanic anodes in terms of double-layer electrolyte

Mujezinović

Muharemović

Turkovic

et al. 2017

WIT Transactions on State-of-the-Art in Science and Engineering

View full text Add to dashboard Cite

This paper considers the effect of the discontinuity of electrolyte electrical conductivity on the distribution of potential and protective current density in cathodic protection systems with galvanic anodes. Its aim is to present a simultaneous application of both analytical and numerical models for the calculation of the distribution of protective potential and current density in the cases of homogeneous and double-layer electrolyte. For non-linear boundary conditions at the electrode surface (secondary distribution of protective current density), the indirect boundary element method is used, because of the complexity of calculation for which collocation at the point method was used. The calculation is further complicated due to the nonlinearity of boundary conditions at the electrode surfaces. In order to show the importance of this analysis, calculations for the observed system as well as of errors caused by neglecting the boundary discontinuity of the soil conductivity are provided. Based on these calculations and error analyses, the impact of the double-layer electrolyte on the correct calculation of the cathodic protection system with galvanic anodes is evaluated. This paper also provides the analysis when the double-layered nature of the electrolyte can be practically ignored, which is of great importance to designers of these systems.

show abstract

Section: Electrode Potential and Current Density Calculationmentioning

confidence: 99%

Calculation of the protective current density distribution of a cathodic protection system with galvanic anodes in terms of double-layer electrolyte

Mujezinović

Muharemović

Turkovic

et al. 2017

WIT Transactions on State-of-the-Art in Science and Engineering

View full text Add to dashboard Cite

show abstract

“…Previous work showed that for realistic grounding systems with complex problem geometry, the best approach to potential field calculation is the boundary element method (BEM) (Berberović et al, 2003;Colominas et al, 1999aColominas et al, , 2002Colominas et al, , 2005Melipoulos et al, 1993). Problem-specific BEM formulation must take into account some simplifications in order to solve large-scale realistic problems.…”

Section: Forward Problem Formulation Optimized For the Mcmc Simulationmentioning

confidence: 99%

“…Problem-specific BEM formulation must take into account some simplifications in order to solve large-scale realistic problems. The problem of infinite boundaries can be solved by applying the method of images (Berberović et al, 2003;Colominas et al, 2002). The soil model choice is another important part of a grounding grid model that determines the complexity of the forward problem solution.…”

Section: Forward Problem Formulation Optimized For the Mcmc Simulationmentioning

confidence: 99%

Model-Based Reconstruction of the Grounding System Surface Potential Distribution by Means of Monte Carlo Markov Chain Simulation

2009

View full text Add to dashboard Cite

Accurate reconstruction of the earth surface potential distribution functional shape from a discrete set of measuring points is important in the grounding system safety assessment process. Commonly used scattered data interpolation techniques may produce unreliable results under unfavorable sampling conditions. A novel model-based mathematical approach to the surface potential distribution reconstruction is proposed, which is based on the stochastic approach to the inverse problem solution, implemented by means of the Monte Carlo Markov chain simulation. The reconstruction quality of the potential distribution is improved considerably by incorporating the physical model of the grounding grid behavior into the interpolation algorithm, particularly for sparse and irregular noisy sampling sets.

show abstract

“…Formulas for grid in two layers soil using the synthetic-asymptote approach have been developed in (Salama et al, 1995). Berberovic explored the Method of Moments in the calculation of ground resistance, using higher order polynomials approximation in the unknown current distribution in (Berberovic et al, 2003), and the Galerkin's Moment Method with a variation was used in (Sharma & De Four, 2006). Another theoretical tool commonly used is the Boundary Element Method, as in (Colominas et al, 1998(Colominas et al, , 2002a(Colominas et al, , 2002bAdriano et al, 2003).…”

Section: Introductionmentioning

confidence: 99%

“…Even in the study of ionization phenomena, the two layer ground model was used in (Liu et al, 2004). In general these works used the theory of images, which implies infinite series for the expanded Green function as in (Berberovic et al, 2003). Recently, a work presented the effect of low resistance materials filling in a pit surrounding a rod, working with two different soil resistivity's (Al-Arayny et al, 2011).…”

Section: Introductionmentioning

confidence: 99%