Data-Driven Model Order Reduction for Magnetostatic Problem Coupled with Circuit Equations
Article dans une revue avec comité de lecture
Date
2018Journal
IEEE Transactions on MagneticsRésumé
Among the model order reduction techniques, the Proper Orthogonal Decomposition (POD) has shown its efficiency to solve magnetostatic and magneto-quasistatic problems in the time domain. However, the POD is intrusive in the sense that it requires the extraction of the matrix system of the full model to build the reduced model. To avoid this extraction, nonintrusive approaches like the Data Driven (DD) methods enable to approximate the reduced model without the access to the full matrix system. In this article, the DD-POD method is applied to build a low dimensional system to solve a magnetostatic problem coupled with electric circuit equations.
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.
-
Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods Communication avec acteThe 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 lectureHENNERON, Thomas; PIERQUIN, Antoine; BRISSET, Stéphane; 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 lecturePIERQUIN, Antoine; BRISSET, Stéphane; HENNERON, Thomas; CLENET, Stephane (Institute of Electrical and Electronics Engineers, 2014)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 ...
-
Article dans une revue avec comité de lecturePIERQUIN, Antoine; HENNERON, Thomas; BRISSET, Stephane; 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 ...
-
Structure Preserving Model Reduction of Low Frequency Electromagnetic Problem based on POD and DEIM Article dans une revue avec comité de lectureMONTIER, Laurent; PIERQUIN, Antoine; HENNERON, Thomas; 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 ...