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.

JO - Bulletin of the Polish Academy of Sciences: Technical Sciences L1 - http://www.journals.pan.pl/Content/114303/PDF/03_863-869_01119_Bpast.No.67-4_06.11.19_K2.pdf L2 - http://www.journals.pan.pl/Content/114303 EP - 869 KW - electromagnetic devices KW - steady-state analysis KW - periodic solutions KW - analysis in time domain KW - discrete differential operator KW - iterative algorithms ER - A1 - Sobczyk, T.J. A1 - Radzik, M. VL - No. 5 JF - Bulletin of the Polish Academy of Sciences: Technical Sciences SP - 863 T1 - Improved algorithm for periodic steady-state analysis in nonlinear electromagnetic devices UR - http://www.journals.pan.pl/dlibra/docmetadata?id=114303 DOI - 10.24425/bpasts.2019.130878