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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Main Authors: Kolańska-Płuska Joanna, Grochowicz Barbara
Format: Article
Language:English
Published: Polish Academy of Sciences 2016-09-01
Series:Archives of Electrical Engineering
Subjects:
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.
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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
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AT grochowiczbarbara modellingofanonlinearcoilwithlossinironusingtherungekuttamethods