A comparison among eight different techniques to achieve an optimum estimation of electrical grounding parameters in two-layered earth

This paper intends to compare the performance of eight techniques, based on five different methods, used to find the electrical grounding parameters of a two-layered earth (resistivities and thickness) corresponding to a specific mathematical model. Parameter estimation is carried out in such a way...

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Bibliographic Details
Published inIEEE transactions on power delivery Vol. 8; no. 4; pp. 1890 - 1899
Main Author del Alamo, J.L.
Format Journal Article Conference Proceeding
LanguageEnglish
Published New York, NY IEEE 01.10.1993
Institute of Electrical and Electronics Engineers
Subjects
240100 - Power Systems- (1990-)
Applied sciences
Conductivity
Connection and protection apparatus
ELECTRIC CONDUCTIVITY
ELECTRIC GROUNDS
Electric variables measurement
Electrical engineering. Electrical power engineering
ELECTRICAL PROPERTIES
Exact sciences and technology
Grounding
IEEE members
Inverse problems
Jacobian matrices
Least squares approximation
Mathematical model
MATHEMATICAL MODELS
OPTIMIZATION
Parameter estimation
PHYSICAL PROPERTIES
POWER TRANSMISSION AND DISTRIBUTION
Soil measurements
SOILS
Parameter estimation
Electrical installation
Two layer model
Optimal estimation
Algorithm
Flowchart
Earthing device
Comparative study
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ISSN0885-8977
1937-4208
DOI10.1109/61.248299

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Summary:This paper intends to compare the performance of eight techniques, based on five different methods, used to find the electrical grounding parameters of a two-layered earth (resistivities and thickness) corresponding to a specific mathematical model. Parameter estimation is carried out in such a way as to obtain an optimum fitting between the set of resistivity values measured in the field by means of Wenner's Method, and those calculated from the mathematical model using such parameters. Firstly, the paper presents a review of the mathematical basis of five optimization methods used for the implementation of the different techniques subject to comparison. Secondly, the paper defines the implementation of the algorithms for the eight techniques. Three of them are of first order gradient type, one more of second order (Newton-method), the fifth one is based on the Levenberg-Marquardt method, the sixth one on the generalized inverse method, the seventh one on a quasi-Newton method and the last one on a mixed Newton-generalized inverse method. Algorithms are applied to six test cases and comparison of the results is shown. Furthermore, new algorithms to improve existing procedures are presented.< >
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ISSN:0885-8977
1937-4208
DOI:10.1109/61.248299