Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods
This work presents a study on dynamics of a circuit with a non-linear coil, where loss in iron is also taken into account. A coil model is derived using a state space description. The work also includes the development of an application in C# for coil dynamics examination, where the implicit RADAU I...
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Format: | Article |
Language: | English |
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Polish Academy of Sciences
2016-09-01
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Series: | Archives of Electrical Engineering |
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Online Access: | http://www.degruyter.com/view/j/aee.2016.65.issue-3/aee-2016-0038/aee-2016-0038.xml?format=INT |
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author | Kolańska-Płuska Joanna Grochowicz Barbara |
author_facet | Kolańska-Płuska Joanna Grochowicz Barbara |
author_sort | Kolańska-Płuska Joanna |
collection | DOAJ |
description | This work presents a study on dynamics of a circuit with a non-linear coil, where loss in iron is also taken into account. A coil model is derived using a state space description. The work also includes the development of an application in C# for coil dynamics examination, where the implicit RADAU IIA method of various orders is applied for the purpose of solving non-linear differential equations modelling the non-linear coil with loss in iron. |
first_indexed | 2024-12-11T16:10:42Z |
format | Article |
id | doaj.art-f6cff2f5faad4ec19be091b0eaf43d8d |
institution | Directory Open Access Journal |
issn | 2300-2506 |
language | English |
last_indexed | 2024-12-11T16:10:42Z |
publishDate | 2016-09-01 |
publisher | Polish Academy of Sciences |
record_format | Article |
series | Archives of Electrical Engineering |
spelling | doaj.art-f6cff2f5faad4ec19be091b0eaf43d8d2022-12-22T00:59:04ZengPolish Academy of SciencesArchives of Electrical Engineering2300-25062016-09-0165352753910.1515/aee-2016-0038aee-2016-0038Modelling of a non-linear coil with loss in iron using the Runge-Kutta methodsKolańska-Płuska Joanna0Grochowicz Barbara1Opole University of Technology, Faculty of Electrical Engineering, Automatic Control and Informatics, Prószkowska 76, 45-758 Opole, Poland Opole University of Technology, Faculty of Electrical Engineering, Automatic Control and Informatics, Prószkowska 76, 45-758 Opole, Poland This work presents a study on dynamics of a circuit with a non-linear coil, where loss in iron is also taken into account. A coil model is derived using a state space description. The work also includes the development of an application in C# for coil dynamics examination, where the implicit RADAU IIA method of various orders is applied for the purpose of solving non-linear differential equations modelling the non-linear coil with loss in iron.http://www.degruyter.com/view/j/aee.2016.65.issue-3/aee-2016-0038/aee-2016-0038.xml?format=INTnon-linear coilRunge-Kutta methodsstiff non-linear differential equations |
spellingShingle | Kolańska-Płuska Joanna Grochowicz Barbara Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods Archives of Electrical Engineering non-linear coil Runge-Kutta methods stiff non-linear differential equations |
title | Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods |
title_full | Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods |
title_fullStr | Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods |
title_full_unstemmed | Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods |
title_short | Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods |
title_sort | modelling of a non linear coil with loss in iron using the runge kutta methods |
topic | non-linear coil Runge-Kutta methods stiff non-linear differential equations |
url | http://www.degruyter.com/view/j/aee.2016.65.issue-3/aee-2016-0038/aee-2016-0038.xml?format=INT |
work_keys_str_mv | AT kolanskapłuskajoanna modellingofanonlinearcoilwithlossinironusingtherungekuttamethods AT grochowiczbarbara modellingofanonlinearcoilwithlossinironusingtherungekuttamethods |