A multiconductor transmission line model for grounding grids

Jardines, A.; Guardado, J.L.; Sulla-Torres, José; Chávez, Jose de Jesús; Hernández, Máximo

doi:10.1016/j.ijepes.2014.02.022

Cited by 28 publications

(43 citation statements)

References 25 publications

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“…Note that the matrix of (16) in comparison with the one for grounding grid has more zero elements (see eq. (7) in Reference ). Since in single horizontal electrode, there are no parallel conductors to include mutual coupling among them.…”

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

“…Applying a linear transformation in order to diagonalize P and P t , and considering M and Λ respectively as the matrices of eigenvectors and eigenvalues of P , solutions to (1) and (2) can be expressed as follows,

V ((), x) = e^{- normalΨ x} V_{a} + e^{normalΨ x} V_{b}

I ((), x) = Y_{0} ((), e^{- normalΨ x} V_{a} - e^{normalΨ x} V_{b})

where Ψ = M −1 Λ 1/2 M = P 1/2 = ( ZY ) 1/2 , Y 0 = Z −1 . Ψ = ( Y / Z ) 1/2 are the propagation constant and characteristic admittance.…”

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

“…Also, V a and V b are the integration constants depending on the boundary conditions. Solutions of (3) and (4) for sending and receiving points of a conductor of length l are expressed as (5) and (6) respectively

I_{s} = Y_{0} \coth ((), normalΨ l) V_{s} - Y_{0} \csc h ((), normalΨ l) V_{r}

I_{r} = - Y_{0} \csc h ((), normalΨ l) V_{s} + Y_{0} \coth ((), normalΨ l) V_{r}

…”

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

“…In (9), (10a), (10b), (11a) and (11b), ρ , and ε represent respectively the resistivity and permittivity of the soil. Further information in detail about the above formulations can be found in Reference .…”

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

“…Through this approach, voltages and currents at any junction in the grounding system is easily extracted. This modeling approach was used in grounding systems buried in soils having constant electrical parameters . Since it is in the frequency domain, it is evidently able in dispersive soils as well .…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Comprehensive formulae for effective length of multiple grounding electrodes considering different aspects of soils: Simplified multiconductor transmission line‐intelligent water drop approach

Sajjadi

Aghajani

Ostadzadeh

2020

Int J Numerical Modelling

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In this paper, an approximate modeling approach called simplified multiconductor transmission line model (simplified MTL) is proposed for transient analyses of multiple grounding electrodes. Since this approach is in the frequency domain, the effect of soil dispersion (frequency variation of soil electrical parameters) is easily incorporated. In addition, the soil ionization effect is treated as gradually increasing radius of the electrode. With the use of this approach, predicting formulae for effective length of multiple grounding electrodes considering both ionization and dispersion are proposed for the first time. Finally, combining the extracted formulae with the apparent resistivity in two‐layer soils, effective length in such soils is easily predicted.

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Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

V ((), x) = e^{- normalΨ x} V_{a} + e^{normalΨ x} V_{b}

I ((), x) = Y_{0} ((), e^{- normalΨ x} V_{a} - e^{normalΨ x} V_{b})

where Ψ = M −1 Λ 1/2 M = P 1/2 = ( ZY ) 1/2 , Y 0 = Z −1 . Ψ = ( Y / Z ) 1/2 are the propagation constant and characteristic admittance.…”

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

I_{s} = Y_{0} \coth ((), normalΨ l) V_{s} - Y_{0} \csc h ((), normalΨ l) V_{r}

I_{r} = - Y_{0} \csc h ((), normalΨ l) V_{s} + Y_{0} \coth ((), normalΨ l) V_{r}

…”

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

Section: Simplified Mtls Model (Simplified Mtl)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Comprehensive formulae for effective length of multiple grounding electrodes considering different aspects of soils: Simplified multiconductor transmission line‐intelligent water drop approach

Sajjadi

Aghajani

Ostadzadeh

2020

Int J Numerical Modelling

View full text Add to dashboard Cite

show abstract

Fault diagnosis and location of electrified railway grounding grids based on intelligent algorithm

Chen

Liu

Zhao

et al. 2020

Int Trans Electr Energ Syst

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Faults in electrified railway grounding grids can lead to significant surface potential rise, which threatens railway transportation and operation security. In order to efficiently diagnose the grounding status of the grounding grid and locate the fault location, this paper firstly presents the development of a mathematical model to reveal the earth surface potential distribution of grounding grids. Furthermore, a simulation model is built specifically for this study using CDEGS software to calculate the earth surface potential distribution of grounding grids under fault conditions. The simulation model has been used to validate the developed mathematical model by a comparison study. Finally, an intelligent algorithm based on grey incidence degree and fuzzy theory is proposed. This algorithm facilitates the fault condition diagnosis and the fault conductor position location. Using the fault condition data calculated by the simulation model, a few common grounding grids' fault conditions are diagnosed and located effectively by the proposed method. The results identify that the proposed method can ensure the safe operation of the traction substation.

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Effective area of grounding grids in frequency-variant soils: causality versus non-causality

Ostadzadeh

Sajjadi

2022

Electr Eng

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A multiconductor transmission line model for grounding grids

Cited by 28 publications

References 25 publications

Comprehensive formulae for effective length of multiple grounding electrodes considering different aspects of soils: Simplified multiconductor transmission line‐intelligent water drop approach

Comprehensive formulae for effective length of multiple grounding electrodes considering different aspects of soils: Simplified multiconductor transmission line‐intelligent water drop approach

Fault diagnosis and location of electrified railway grounding grids based on intelligent algorithm

Effective area of grounding grids in frequency-variant soils: causality versus non-causality

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