@ARTICLE{Kolańska-Płuska_Joanna_Modelling_2016, author={Kolańska-Płuska, Joanna and Grochowicz, Barbara}, volume={vol. 65}, number={No 3 September}, journal={Archives of Electrical Engineering}, pages={527-539}, howpublished={online}, year={2016}, publisher={Polish Academy of Sciences}, abstract={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.}, type={Artykuły / Articles}, title={Modelling of a non-linear coil with loss in iron using the Runge-Kutta methods}, URL={http://journals.pan.pl/Content/102157/PDF/DOI%2010.1515aee-2016-0038.pdf}, doi={10.1515/aee-2016-0038}, keywords={non-linear coil, Runge-Kutta methods, stiff non-linear differential equations}, }