Solving Nonlinear Circuits With Pulsed Excitation by Multirate Partial Differential Equations

被引：11

作者：

Pels, Andreas ^{[1
,2
]}

Gyselinck, Johan ^{[3
]}

Sabariego, Ruth V. ^{[4
]}

Schoeps, Sebastian ^{[1
,2
]}

机构：

[1] Tech Univ Darmstadt, Grad Sch Computat Engn, D-64293 Darmstadt, Germany

[2] Tech Univ Darmstadt, Inst Theorie Elektromagnet Felder, D-64289 Darmstadt, Germany

[3] Univ Libre Bruxelles, BEAMS Dept, B-1050 Brussels, Belgium

[4] Katholieke Univ Leuven, Dept Elect Engn, Campus EnergyVille, B-3600 Genk, Belgium

来源：

IEEE TRANSACTIONS ON MAGNETICS | 2018年 / 54卷 / 03期

关键词：

Finite element analysis; multirate partial differential equations (MPDEs); nonlinear circuits; numerical simulation;

D O I：

10.1109/TMAG.2017.2759701

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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.

引用

页数：4

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