A Recursive Formula for the Evaluation of Earth Return Impedance on Buried Cables

This paper presents an alternative solution based on infinite series for the accurate and efficient evaluation of cable earth return impedances. This method uses Wedepohl and Wilcox’s transformation to decompose Pollaczek’s integral in a set of Bessel functions and a definite integral. The main feature of Bessel functions is that they are easy to compute in modern mathematical software tools such as Matlab. The main contributions of this paper are the approximation of the definite integral by an infinite series, since it does not have analytical solution; and its numerical solution by means of a recursive formula. The accuracy and efficiency of this recursive formula is compared against the numerical integration method for a broad range of frequencies and cable  configurations. Finally, the proposed method is used as a subroutine for cable parameter calculation in the inverse Numerical Laplace Transform (NLT) to obtain accurate transient responses in the time domain.

• Autores: Iracheta, Reynaldo
• Tipo de recurso: Article of journal
• Fecha de publicación: 2015
• Institución: Universidad Nacional de Colombia
• Repositorio: Universidad Nacional de Colombia
• Idioma: spa
• OAI Identifier: oai:repositorio.unal.edu.co:unal/67641
• Acceso en línea: https://repositorio.unal.edu.co/handle/unal/67641; http://bdigital.unal.edu.co/68670/
• Palabra clave: 62 Ingeniería y operaciones afines / Engineering; Earth-return impedance; Pollaczek’s integral; Wedepohl’s integral; infinite series expansion; recursive formula; buried cables; Numerical Laplace Transform (NLT).; Impedancia de retorno por tierra; Integral de Pollaczek; Integral de Wedepohl; serie infinita; fórmula recursiva; cables subterráneos; Transformada Numérica de Laplace (NLT).
• Rights: openAccess
• License: Atribución-NoComercial 4.0 Internacional