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

Electrical parameter estimation of the soil is an essential step for the design of grounding systems, and is based on optimization techniques that minimize the error between a theoretical function and the field measurements. The determining factor for reaching the most adequate solution depends on a...

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Bibliographic Details
Published in:IEEE transactions on power delivery 2018-06, Vol.33 (3), p.1054-1061
Main Authors: Coelho, Rooney Ribeiro Albuquerque, Pereira, Antonio Eduardo Costa, Neto, Luciano Martins
Format: Article
Language:English
Subjects:
Chebyshev approximation
Chebyshev polynomials
Conductivity
Electric potential
Electrical grounding
Mathematical analysis
Mathematical model
Nonhomogeneous media
Optimization
Parameter estimation
Polynomials
Soil
Soil stratification
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Summary:Electrical parameter estimation of the soil is an essential step for the design of grounding systems, and is based on optimization techniques that minimize the error between a theoretical function and the field measurements. The determining factor for reaching the most adequate solution depends on a method for solving the indefinite integral of the theoretical function, as well as the accuracy and performance of the parameter estimation. This paper presents a precise and tested technique for achieving these goals known as Chebyshev polynomials. This paper also introduces an error calculation procedure for the truncation of the Chebyshev series. Besides this, this paper points toward an optimization algorithm for estimating soil parameters by use of measurements associated with differential evolution. The effectiveness of this approach has been proven by applying cases extracted from the literature.
ISSN:0885-8977
1937-4208
DOI:10.1109/TPWRD.2017.2664738