Journal
IEEE TRANSACTIONS ON MAGNETICS
Volume 54, Issue 3, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMAG.2017.2759701
Keywords
Finite element analysis; multirate partial differential equations (MPDEs); nonlinear circuits; numerical simulation
Funding
- Excellence Initiative of the German Federal and State Governments
- Graduate School of Computational Engineering, Technische Universitat Darmstadt
- Walloon Region of Belgium (WBGreen FEDO) [RW-1217703]
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In this paper, the concept of multirate partial differential equations (MPDEs) is applied to obtain an efficient solution for nonlinear low-frequency electrical circuits with pulsed excitation. The MPDEs are solved by a Galerkin approach and a conventional time discretization. Nonlinearities are efficiently accounted for by neglecting the high-frequency components (ripples) of the state variables and using only their envelope for the evaluation. It is shown that the impact of this approximation on the solution becomes increasingly negligible for rising frequency and leads to significant performance gains.
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