@ARTICLE{Sobczyk_T.J._Improved_2019, author={Sobczyk, T.J. and Radzik, M.}, volume={No. 5}, journal={Bulletin of the Polish Academy of Sciences Technical Sciences}, pages={863-869}, howpublished={online}, year={2019}, abstract={This paper presents the improved methodology for the direct calculation of steady-state periodic solutions for electromagnetic devices, as described by nonlinear differential equations, in the time domain. A novel differential operator is developed for periodic functions and the iterative algorithm determining periodic steady-state solutions in a selected set of time instants is identified. Its application to steady-state analysis is verified by an elementary example. The modified algorithm reduces the complexity of steady-state analysis, particularly for electromagnetic devices described by high-dimensional nonlinear differential equations.}, type={Artykuły / Articles}, title={Improved algorithm for periodic steady-state analysis in nonlinear electromagnetic devices}, URL={http://www.czasopisma.pan.pl/Content/114303/PDF/03_863-869_01119_Bpast.No.67-5_03.02.20.pdf}, doi={10.24425/bpasts.2019.130878}, keywords={electromagnetic devices, steady-state analysis, periodic solutions, analysis in time domain, discrete differential operator, iterative algorithms}, }