High Order Relaxation Methods for Co-simulation of Finite Element and Circuit Solvers

Advanced Electromagnetics

F. Plumier¹  J. Gyselinck²  C. Geuzain³  J. D. Nshimiyimana⁴  C. Ndagije⁵ 

[1] Syngenia Tractebel;Universite Libre de Bruxelle;University of Liege;University of Rwanda;UniversityofRwanda;

关键词: High order time integrarion;    Cosimulation;    Finite element method;    Circuits;    Gmsh;    GetDp;   

DOI  :  10.7716/aem.v9i1.1245

来源: DOAJ

【 摘 要 】

Coupled problems result in very stiff problems whose char- acteristic parameters differ with several orders in magni- tude. For such complex problems, solving them monolithi- cally becomes prohibitive. Since nowadays there are op- timized solvers for particular problems, solving uncoupled problems becomes easy since each can be solved indepen- dently with its dedicated optimized tools. Therefore the co-simulation of the sub-problems solvers is encouraged. The design of the transmission coupling conditions between solvers plays a fundamental role. The current paper ap- plies the waveform relaxation methods for co-simulation of the finite element and circuit solvers by also investigating the contribution of higher order integration methods. The method is illustrated on a coupled finite element inductor and a boost converter and focuses on the comparison of the transmission coupling conditions based on the waveform iteration numbers between the two sub-solvers. We demon- strate that for lightly coupled systems the dynamic iterations between the sub-solvers depends much on the inter- nal integrators in individual sub-solvers whereas for tightly coupled systems it depends also to the kind of transmission coupling conditions.

【 授权许可】

Unknown