The Mathematical Modelling of Heat Transfer in Electrical Cables
This paper describes a mathematical modelling approach for heat transfer calculations in underground high voltage and middle voltage electrical power cables. First of the all typical layout of the cable in the sand or soil is described. Then numerical algorithms are targeted to the two-dimensional m...
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| Format: | Article |
| Language: | English |
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Riga Technical University Press
2014-05-01
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| Series: | Electrical, Control and Communication Engineering |
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| Online Access: | https://doi.org/10.2478/ecce-2014-0007 |
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| author | Bugajev Andrej Jankevičiūtė Gerda Tumanova Natalija |
| author_facet | Bugajev Andrej Jankevičiūtė Gerda Tumanova Natalija |
| author_sort | Bugajev Andrej |
| collection | DOAJ |
| description | This paper describes a mathematical modelling approach for heat transfer calculations in underground high voltage and middle voltage electrical power cables. First of the all typical layout of the cable in the sand or soil is described. Then numerical algorithms are targeted to the two-dimensional mathematical models of transient heat transfer. Finite Volume Method is suggested for calculations. Different strategies of nonorthogonality error elimination are considered. Acute triangles meshes were applied in two-dimensional domain to eliminate this error. Adaptive mesh is also tried. For calculations OpenFOAM open source software which uses Finite Volume Method is applied. To generate acute triangles meshes aCute library is used. The efficiency of the proposed approach is analyzed. The results show that the second order of convergence or close to that is achieved (in terms of sizes of finite volumes). Also it is shown that standard strategy, used by OpenFOAM is less efficient than the proposed approach. Finally it is concluded that for solving real problem a spatial adaptive mesh is essential and adaptive time steps also may be needed. |
| format | Article |
| id | doaj-art-3b434ab5936d4357be722a628c60eb79 |
| institution | Kabale University |
| issn | 2255-9159 |
| language | English |
| publishDate | 2014-05-01 |
| publisher | Riga Technical University Press |
| record_format | Article |
| series | Electrical, Control and Communication Engineering |
| spelling | doaj-art-3b434ab5936d4357be722a628c60eb792025-01-02T16:30:38ZengRiga Technical University PressElectrical, Control and Communication Engineering2255-91592014-05-0151465310.2478/ecce-2014-0007ecce-2014-0007The Mathematical Modelling of Heat Transfer in Electrical CablesBugajev Andrej0Jankevičiūtė Gerda1Tumanova Natalija2Researcher, Vilnius Gediminas Technical University - VGTUResearcher, VGTU), Olga Suboč (Researcher, VGTUResearcher, VGTUThis paper describes a mathematical modelling approach for heat transfer calculations in underground high voltage and middle voltage electrical power cables. First of the all typical layout of the cable in the sand or soil is described. Then numerical algorithms are targeted to the two-dimensional mathematical models of transient heat transfer. Finite Volume Method is suggested for calculations. Different strategies of nonorthogonality error elimination are considered. Acute triangles meshes were applied in two-dimensional domain to eliminate this error. Adaptive mesh is also tried. For calculations OpenFOAM open source software which uses Finite Volume Method is applied. To generate acute triangles meshes aCute library is used. The efficiency of the proposed approach is analyzed. The results show that the second order of convergence or close to that is achieved (in terms of sizes of finite volumes). Also it is shown that standard strategy, used by OpenFOAM is less efficient than the proposed approach. Finally it is concluded that for solving real problem a spatial adaptive mesh is essential and adaptive time steps also may be needed.https://doi.org/10.2478/ecce-2014-0007power transmissionnumerical modelsfinite element analysisfinite volume methodsconvergence of numerical methods |
| spellingShingle | Bugajev Andrej Jankevičiūtė Gerda Tumanova Natalija The Mathematical Modelling of Heat Transfer in Electrical Cables Electrical, Control and Communication Engineering power transmission numerical models finite element analysis finite volume methods convergence of numerical methods |
| title | The Mathematical Modelling of Heat Transfer in Electrical Cables |
| title_full | The Mathematical Modelling of Heat Transfer in Electrical Cables |
| title_fullStr | The Mathematical Modelling of Heat Transfer in Electrical Cables |
| title_full_unstemmed | The Mathematical Modelling of Heat Transfer in Electrical Cables |
| title_short | The Mathematical Modelling of Heat Transfer in Electrical Cables |
| title_sort | mathematical modelling of heat transfer in electrical cables |
| topic | power transmission numerical models finite element analysis finite volume methods convergence of numerical methods |
| url | https://doi.org/10.2478/ecce-2014-0007 |
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