A High-Performance Multilayer Earth Parameter Estimation Rooted in Chebyshev Polynomials

Coelho, Rooney R. A.; Pereira, Antônio Eduardo Costa; Neto, Luciano Martins

doi:10.1109/tpwrd.2017.2664738

Cited by 19 publications

(9 citation statements)

References 9 publications

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“…The study of soil inhomogeneity does not consider the frequency characteristics of soil parameters, and most of them only consider the DC field. [1][2][3][4][5][6][7][8][9][10][11][12][13] On the other hand, most of the study about the frequency characteristics of soil parameters is based on homogeneous ground. [14][15][16][17] Actually, both of these two issues should be taken into account when constructing an accurate soil model.…”

Section: Introductionmentioning

confidence: 99%

“…However, few researchers have put these two questions together. The study of soil inhomogeneity does not consider the frequency characteristics of soil parameters, and most of them only consider the DC field 1–13 . On the other hand, most of the study about the frequency characteristics of soil parameters is based on homogeneous ground 14–17 .…”

Section: Introductionmentioning

confidence: 99%

“…Reference 6 derived general expression of apparent resistivity of the N‐layer model, and the electrode configuration is considered as Wenner array. References 7–13 developed different algorithms to invert DC soil parameters of N‐layer model. In terms of optimization methods, References 1–8 used local search methods to find optimal model parameters.…”

Section: Introductionmentioning

confidence: 99%

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Global optimization algorithms for particle swarm optimization to the derivation of horizontal multilayered soil models considering the frequency dependence of soil parameters

Li¹,

Zhao²,

Rao³

2021

Int J Numerical Modelling

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The frequency dependence of soil parameters has been confirmed by many experiments. Most of them are done by the measurement of soil sample in laboratories. Although some studies are based on field measurement, only homogeneous ground or two‐layer model are considered. The study of frequency dependence of soil parameters with considering multilayered model is lacking. The frequency dependence of the horizontally multilayered soil model is studied by the inversion of soil parameters in the frequency domain. The inversion of frequency domain soil parameters is translated into an optimization problem. The model parameters are determined by spectral induced polarization data, and particle swarm optimization is applied to optimizing model parameters. The performances of three different methods to trap particles inside boundaries are compared. In order to improve the computational efficiency of the inversion program, parallel computing is combined with particle swarm optimization to solve the optimization problem. The execution time of the developed algorithm before and after the application of parallel computing is compared. The performances of other two optimization algorithms, simulated annealing and genetic algorithm, are compared with that of particle swarm optimization. So it would be more clear which optimization algorithm should be selected among these three commonly used algorithms when dealing with the inversion problem of soil parameters. The accuracy of the proposed method is verified by a numerical simulation experiment. Then, this method is applied to interpreting field data, and the frequency dependence of soil parameters can be observed from the inversion results.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Global optimization algorithms for particle swarm optimization to the derivation of horizontal multilayered soil models considering the frequency dependence of soil parameters

Li¹,

Zhao²,

Rao³

2021

Int J Numerical Modelling

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“…Many researchers have attempted to address the grounding design optimization problem using various optimization techniques [ 4 , 7 – 14 ]. Analytical and heuristic approaches are the most common strategies employed.…”

Section: Introductionmentioning

confidence: 99%

Optimization of substation grounding grid design for horizontal and vertical multilayer and uniform soil condition using Simulated Annealing method

et al. 2021

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Grounding systems are critical in safeguarding people and equipment from power system failures. A grounding system’s principal goal is to offer the lowest impedance path for undesired fault current. Optimization of the grounding grid designs is important in satisfying the minimum cost of the grounding system and safeguarding those people who work in the surrounding area of the grounded installations. Currently, there is no systematic guidance or standard for grounding grid designs that include two-layer soil and its effects on grounding grid systems, particularly vertically layered soil. Furthermore, while numerous studies have been conducted on optimization, relatively limited study has been done on the problem of optimizing the grounding grid in two-layer soil, particularly in vertical soil structures. This paper presents the results of optimization for substation grounding systems using the Simulated Annealing (SA) algorithm in different soil conditions which conforms to the safety requirements of the grounding system. Practical features of grounding grids in various soil conditions discussed in this paper (uniform soil, two-layer horizontal soil, and two-layer vertical soil) are considered during problem formulation and solution algorithm. The proposed algorithm’s results show that the number of grid conductors in the X and Y directions (Nx and Ny), as well as vertical rods (Nr), can be optimized from initial numbers of 35% for uniform soil, 57% for horizontal two-layer soil for ρ1> ρ2, and 33% for horizontal two-layer soil for ρ1< ρ2, and 29% for vertical two-layer soil structure. In other words, the proposed technique would be able to utilize square and rectangle-shaped grounding grids with a number of grid conductors and vertical rods to be implemented in uniform, two-layer horizontal and vertical soil structure, depending on the resistivity of the soil layer.

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“…This inaccuracy might lead to a slower convergence rate of the optimization process. In [18], a Chebyshev Polynomials based approach is proposed, where the kernel is approximated by Chebyshev Polynomials with different orders, and the GSIs can have a semi-analytical expression with the surrogate polynomial. The approach in [18] is ingeniously, and its accuracy is dependent on the accuracy of the polynomial.…”

Section: Introductionmentioning

confidence: 99%

Parameter Estimation of a Horizontally Multilayered Soil With a Fast Evaluation of the Apparent Resistivity and its Derivatives

Yang

Zou

2020

IEEE Access

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The information of earth structure is curial for designing the grounding system and evaluating the transmission line parameters. In order to obtain the earth structure using the measured data, an efficient algorithm for the parameter estimation of a horizontally multilayered soil by using a novel integration method is proposed. In the proposed algorithm, an adaptive iteration process will terminate till the predefined error reaches the requirement, where the earth parameters, such as the layer depth, layer resistivity, and layer number, are adjusted accordingly with the help of the Levenberg-Marquardt algorithm. In each iteration, the key is to evaluate the apparent resistivity and its partial derivatives with respect to soil parameters, which are expressed in the form of general Sommerfeld integral (GSI). In this paper, the GSI is divided into two parts. The first part with an infinite upper limit is integrated along a novel complex integration path instead of the conventional real axis path, which makes the evaluation of the GSI highly efficient due to the fast damping property of the transformed kernel. The second part with the finite integral interval is calculated using the cubic spline technique to have a semi-analytic expression, which can avoid evaluating the oscillatory kernel. In comparison with the results in the published literatures, numerical examples show that the proposed soil parameters estimation approach can reach good accuracy, and is robust and efficient. The reason is simple as the GSIs are calculated by using the well-designed and sophisticated approach. With extensive numerical experiments, the proposed algorithm is believed to be a capable and applicable candidate in engineering to invert the information of the earth structure.

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A High-Performance Multilayer Earth Parameter Estimation Rooted in Chebyshev Polynomials

Cited by 19 publications

References 9 publications

Global optimization algorithms for particle swarm optimization to the derivation of horizontal multilayered soil models considering the frequency dependence of soil parameters

Global optimization algorithms for particle swarm optimization to the derivation of horizontal multilayered soil models considering the frequency dependence of soil parameters

Optimization of substation grounding grid design for horizontal and vertical multilayer and uniform soil condition using Simulated Annealing method

Parameter Estimation of a Horizontally Multilayered Soil With a Fast Evaluation of the Apparent Resistivity and its Derivatives

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