Benefits of Waveform Relaxation Method and Output Space Mapping for the Optimization of Multirate Systems
Article dans une revue avec comité de lecture
Auteur
PIERQUIN, AntoineBRISSET, StéphaneHENNERON, Thomas 
CLENET, StephaneRésumé
We present an optimization problem that requires to model a multirate system, composed of subsystems with different time constants. We use waveform relaxation method in order to simulate such a system. But computation time can be penalizing in an optimization context. Thus we apply output space mapping which uses several models of the system to accelerate optimization. Waveform relaxation method is one of the models used in output space mapping.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Documents liés
Visualiser des documents liés par titre, auteur, créateur et sujet.
-
Article dans une revue avec comité de lecture; ; ;CLENET, Stephane (Wydawnictwo Czasopism i Ksia̜żek Technicznych Sigma, 2015)
The modelling of a multirate system -composed of components with heterogeneous time constants- can be done using fixed-point method. This method allows a time-discretization of each subsystem with respect to its own time ...
-
Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods Communication avec acte; ; ;CLENET, Stephane (IEEE, 2015)
The proper orthogonal decomposition method and Arnoldi-based Krylov projection method are investigated in order to reduce a finite-element model of a quasi-static problem. Both methods are compared on an academic example ...
-
Article dans une revue avec comité de lecture; ; ;CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2016)
To study a multirate system, each subsystem can be solved by a dedicated sofware with respect to the physical problem and the time constant. Then, the problem is the coupling of the solutions of the subsystems. The Waveform ...
-
Article dans une revue avec comité de lecture; ;CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2019)
In order to take into account a modification of the geometry during an optimization process or due to a physical phenomenon, a deformation of the elements of the spatial discretization is preferable to conserve a conformal ...
-
Structure Preserving Model Reduction of Low-Frequency Electromagnetic Problem Based on POD and DEIM Article dans une revue avec comité de lecture; ; ;CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2017)
The Proper Orthogonal Decomposition (POD) combined with the (Discrete) Empirical Interpolation Method (DEIM) can be used to reduce the computation time of the solution of a Finite Element (FE) model. However, it can lead ...