Preprint Open Access
Reduced Order Multirate Schemes for Coupled Differential-Algebraic Systems
Bannenberg, M.W.F.M.; Ciccazzo, A.; Günther, M.
In the context of time-domain simulation of integrated circuits, one often encounters large systems of coupled differential-algebraic equations. Simulation costs of these systems can become prohibitively large as the number of components keeps increasing. In an effort to reduce these simulation costs a twofold approach is presented in this paper. We combine maximum entropy snapshot sampling method and a nonlinear model order reduction technique, with multirate time integration. The obtained model order reduction basis is applied using the Gauß-Newton method with approximated tensors reduction. This reduction framework is then integrated using a coupled-slowest-first multirate integration scheme. The convergence of this combined method verified numerically. Lastly it is shown that the new method results in a reduction of the computational effort without significant loss of accuracy.
| Name | Size | |
|---|---|---|
|
imacm_21_04.pdf
md5:5a9e23a762ab9bc2184d00328a1af38d |
629.4 kB | Download |
| All versions | This version | |
|---|---|---|
| Views | 49 | 49 |
| Downloads | 24 | 24 |
| Data volume | 15.1 MB | 15.1 MB |
| Unique views | 42 | 42 |
| Unique downloads | 19 | 19 |
- Publication date:
- January 22, 2021
- DOI:
-
- Keyword(s):
- Mulitrate, Model Order Reduction, Dierential-Algebraic Equations, Snapshot Sampling.
- Grants:
-
European Commission:
- ROMSOC - Reduced Order Modelling, Simulation and Optimization of Coupled systems (765374)
- Communities:
- License (for files):
- Creative Commons Attribution 4.0 International