The purpose of this study is to identify a novel methodology for direct calculation of steady-state periodic solutions for electrical circuits described by nonlinear differential equations, in the time domain.
An iterative algorithm was created to determine periodic steady-state solutions for circuits with nonlinear elements in a chosen set of time instants.
This study found a novel differential operator for periodic functions and its application in the steady-state analysis.
This approach can be extended to the determination of two- or multi-periodic solutions of nonlinear dynamic systems.
The complexity of the steady-state analysis can be reduced in comparison with the frequency-domain approach.
This study identified novel difference equations for direct steady-state analysis of nonlinear electrical circuits.
This research has been carried out in the frame of project E-2/581/2016/DS founded by the Polish Ministry of Science and Higher Education.
Sobczyk, T. and Radzik, M. (2017), "A new approach to steady state analysis of nonlinear electrical circuits", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 36 No. 3, pp. 716-728. https://doi.org/10.1108/COMPEL-09-2016-0387
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