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A flexible model to calculate buried cable ampacity in complex environments

A flexible model to calculate buried cable ampacity in complex environments
A flexible model to calculate buried cable ampacity in complex environments
The ampacity of buried cables is significantly influenced by the thermal properties of the burial environment. When these thermal properties are not homogeneous it is usually necessary to utilize simulations with a relatively high computational cost that may also use commercial software. In this paper an alternative approach is proposed using conformal maps. Temperature is calculated in an annular domain which is a conformal mapping of the half plane space. Circumferential dependence is captured by expanding temperature as a Fourier series, a finite difference solver then determines temperature components radially. The model is as flexible as any two-dimensional slice model of heat transfer through thermal conduction. Two case studies are considered: three land-based cables in planar configuration and a submarine export cable. The thermal properties of both burial environments are based on conditions which may be encountered in the field and exhibit a high level of stratification. Using a finite element analysis simulation as a benchmark, typical percentage differences in cable ampacities were 0.5%-1%. In addition to accuracy and flexibility the low computational cost of the proposed approach allows for large parameter sweeps, which may be required in a design phase, without requiring commercial software.
Conductivity, Heat transfer, Heating systems, Mathematical model, Power cables, Space heating, Temperature, buried power cables, conformal mapping, finite element simulation, heat transfer, thermal models
0885-8977
Callender, George
4189d79e-34c3-422c-a601-95b156c27e76
Goddard, Kevin
fe2a2194-8b55-43c1-bdca-341691b71b2d
Dix, Justin
efbb0b6e-7dfd-47e1-ae96-92412bd45628
Lewin, Paul
78b4fc49-1cb3-4db9-ba90-3ae70c0f639e
Callender, George
4189d79e-34c3-422c-a601-95b156c27e76
Goddard, Kevin
fe2a2194-8b55-43c1-bdca-341691b71b2d
Dix, Justin
efbb0b6e-7dfd-47e1-ae96-92412bd45628
Lewin, Paul
78b4fc49-1cb3-4db9-ba90-3ae70c0f639e

Callender, George, Goddard, Kevin, Dix, Justin and Lewin, Paul (2021) A flexible model to calculate buried cable ampacity in complex environments. IEEE Transactions on Power Delivery. (doi:10.1109/TPWRD.2021.3102414).

Record type: Article

Abstract

The ampacity of buried cables is significantly influenced by the thermal properties of the burial environment. When these thermal properties are not homogeneous it is usually necessary to utilize simulations with a relatively high computational cost that may also use commercial software. In this paper an alternative approach is proposed using conformal maps. Temperature is calculated in an annular domain which is a conformal mapping of the half plane space. Circumferential dependence is captured by expanding temperature as a Fourier series, a finite difference solver then determines temperature components radially. The model is as flexible as any two-dimensional slice model of heat transfer through thermal conduction. Two case studies are considered: three land-based cables in planar configuration and a submarine export cable. The thermal properties of both burial environments are based on conditions which may be encountered in the field and exhibit a high level of stratification. Using a finite element analysis simulation as a benchmark, typical percentage differences in cable ampacities were 0.5%-1%. In addition to accuracy and flexibility the low computational cost of the proposed approach allows for large parameter sweeps, which may be required in a design phase, without requiring commercial software.

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More information

Accepted/In Press date: 22 July 2021
e-pub ahead of print date: 6 August 2021
Published date: 6 August 2021
Additional Information: Publisher Copyright: IEEE
Keywords: Conductivity, Heat transfer, Heating systems, Mathematical model, Power cables, Space heating, Temperature, buried power cables, conformal mapping, finite element simulation, heat transfer, thermal models

Identifiers

Local EPrints ID: 451948
URI: http://eprints.soton.ac.uk/id/eprint/451948
ISSN: 0885-8977
PURE UUID: d9f197fd-bef0-417c-836d-2c8fcda0d829
ORCID for Paul Lewin: ORCID iD orcid.org/0000-0002-3299-2556

Catalogue record

Date deposited: 04 Nov 2021 17:32
Last modified: 15 Jun 2022 01:32

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Contributors

Author: George Callender
Author: Kevin Goddard
Author: Justin Dix
Author: Paul Lewin ORCID iD

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