Effective Method for Analysis of Electrothermally Coupled Fields
An effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. A numerical model of this physical phenomenon was obta...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-1995-2303 |
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| _version_ | 1832556101478907904 |
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| author | Jacek Korytkowski Stanisław Wincenciak |
| author_facet | Jacek Korytkowski Stanisław Wincenciak |
| author_sort | Jacek Korytkowski |
| collection | DOAJ |
| description | An effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. A numerical model of this physical phenomenon was obtained by the finite element method, which takes into account the temperature-dependent characteristics describing the material parameters and conditions of heat transmission outside of the analyzed objects. These characteristics and conditions make the problem strongly nonlinear. The solution uses the Newton-Raphson method with the appropriate procedure for determining the Jacobian matrix elements. The main idea of the proposed method is the use of an automatic time step selection algorithm to solve heat conduction equations. The influence of the assumed accuracy value on the final result of the nonlinear calculation is discussed. The theoretical results were confirmed by the numerical experiments performed with selected physical objects. |
| format | Article |
| id | doaj-art-fa86292f5a384c469453384d964f36f7 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-fa86292f5a384c469453384d964f36f72025-02-03T05:46:28ZengWileyShock and Vibration1070-96221875-92031995-01-012321922510.3233/SAV-1995-2303Effective Method for Analysis of Electrothermally Coupled FieldsJacek Korytkowski0Stanisław Wincenciak1Warsaw University of Technology, Electrical Engineering Department, Institute of the Theory of Electrical Engineering and Electrical Measurements, 00-662 Warsaw, Koszykowa 75, PolandWarsaw University of Technology, Electrical Engineering Department, Institute of the Theory of Electrical Engineering and Electrical Measurements, 00-662 Warsaw, Koszykowa 75, PolandAn effective method is presented for solving a nonlinear system of partial differential equations that describe the time-dependent electrothermally coupled fields for passage of constant electric current in a three-dimensional conductive medium. A numerical model of this physical phenomenon was obtained by the finite element method, which takes into account the temperature-dependent characteristics describing the material parameters and conditions of heat transmission outside of the analyzed objects. These characteristics and conditions make the problem strongly nonlinear. The solution uses the Newton-Raphson method with the appropriate procedure for determining the Jacobian matrix elements. The main idea of the proposed method is the use of an automatic time step selection algorithm to solve heat conduction equations. The influence of the assumed accuracy value on the final result of the nonlinear calculation is discussed. The theoretical results were confirmed by the numerical experiments performed with selected physical objects.http://dx.doi.org/10.3233/SAV-1995-2303 |
| spellingShingle | Jacek Korytkowski Stanisław Wincenciak Effective Method for Analysis of Electrothermally Coupled Fields Shock and Vibration |
| title | Effective Method for Analysis of Electrothermally Coupled Fields |
| title_full | Effective Method for Analysis of Electrothermally Coupled Fields |
| title_fullStr | Effective Method for Analysis of Electrothermally Coupled Fields |
| title_full_unstemmed | Effective Method for Analysis of Electrothermally Coupled Fields |
| title_short | Effective Method for Analysis of Electrothermally Coupled Fields |
| title_sort | effective method for analysis of electrothermally coupled fields |
| url | http://dx.doi.org/10.3233/SAV-1995-2303 |
| work_keys_str_mv | AT jacekkorytkowski effectivemethodforanalysisofelectrothermallycoupledfields AT stanisławwincenciak effectivemethodforanalysisofelectrothermallycoupledfields |