A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables
This paper proposes and validates using experimental data a dynamic model to determine the current–temperature relationship of insulated and jacketed cables in air. The model includes the conductor core, the inner insulation layer, the outer insulating and protective jacket and the air surrounding t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/15/19/6814 |
| _version_ | 1797478322868846592 |
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| author | Jordi-Roger Riba Jordi Llauradó |
| author_facet | Jordi-Roger Riba Jordi Llauradó |
| author_sort | Jordi-Roger Riba |
| collection | DOAJ |
| description | This paper proposes and validates using experimental data a dynamic model to determine the current–temperature relationship of insulated and jacketed cables in air. The model includes the conductor core, the inner insulation layer, the outer insulating and protective jacket and the air surrounding the cable. To increase its accuracy, the model takes into account the different materials of the cable (conductor, polymeric insulation and jacket) and also considers the temperature dependence of the physical properties, such as electrical resistivity, heat capacity and thermal conductivity. The model discretizes the cable in the radial direction and applies the finite difference method (FDM) to determine the evolution over time of the temperatures of all nodal elements from the temperatures of the two contiguous nodes on the left and right sides. This formulation results in a tri-diagonal matrix, which is solved using the tri-diagonal matrix algorithm (TDMA). Experimental temperature rise tests at different current levels are carried out to validate the proposed model. This model can be used to simulate the temperature rise of the cable when the applied current and ambient temperature are known, even under short-circuit conditions or under changing applied currents or ambient temperatures. |
| first_indexed | 2024-03-09T21:30:20Z |
| format | Article |
| id | doaj.art-488d1197c6c14d0d81d3faecdbc56457 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-09T21:30:20Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-488d1197c6c14d0d81d3faecdbc564572023-11-23T20:57:17ZengMDPI AGMaterials1996-19442022-09-011519681410.3390/ma15196814A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed CablesJordi-Roger Riba0Jordi Llauradó1Electrical Engineering Department, Universitat Politècnica de Catalunya, Rambla Sant Nebridi 22, 08222 Terrassa, SpainElectrical Engineering Department, Universitat Politècnica de Catalunya, Rambla Sant Nebridi 22, 08222 Terrassa, SpainThis paper proposes and validates using experimental data a dynamic model to determine the current–temperature relationship of insulated and jacketed cables in air. The model includes the conductor core, the inner insulation layer, the outer insulating and protective jacket and the air surrounding the cable. To increase its accuracy, the model takes into account the different materials of the cable (conductor, polymeric insulation and jacket) and also considers the temperature dependence of the physical properties, such as electrical resistivity, heat capacity and thermal conductivity. The model discretizes the cable in the radial direction and applies the finite difference method (FDM) to determine the evolution over time of the temperatures of all nodal elements from the temperatures of the two contiguous nodes on the left and right sides. This formulation results in a tri-diagonal matrix, which is solved using the tri-diagonal matrix algorithm (TDMA). Experimental temperature rise tests at different current levels are carried out to validate the proposed model. This model can be used to simulate the temperature rise of the cable when the applied current and ambient temperature are known, even under short-circuit conditions or under changing applied currents or ambient temperatures.https://www.mdpi.com/1996-1944/15/19/6814insulated cablepolymeric insulationcable modeltemperature risesimulationfinite difference method |
| spellingShingle | Jordi-Roger Riba Jordi Llauradó A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables Materials insulated cable polymeric insulation cable model temperature rise simulation finite difference method |
| title | A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables |
| title_full | A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables |
| title_fullStr | A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables |
| title_full_unstemmed | A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables |
| title_short | A Model to Calculate the Current–Temperature Relationship of Insulated and Jacketed Cables |
| title_sort | model to calculate the current temperature relationship of insulated and jacketed cables |
| topic | insulated cable polymeric insulation cable model temperature rise simulation finite difference method |
| url | https://www.mdpi.com/1996-1944/15/19/6814 |
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