Surrogate Model Based on the POD Combined With the RBF Interpolation of Nonlinear Magnetostatic FE Model
Article dans une revue avec comité de lecture
Author
HENNERON, ThomasPIERQUIN, AntoineCLENET, StéphaneAbstract
The Proper Orthogonal Decomposition (POD) is an interesting approach to compress into a reduced basis numerous solutions obtained from a parametrized Finite Element (FE) model. In order to obtain a fast approximation of a FE solution, the POD can be combined with an interpolation method based on Radial Basis Functions (RBF) to interpolate the coordinates of the solution into the reduced basis. In this paper, this POD-RBF approach is applied to a nonlinear magnetostatic problem and is used with a single phase transformer and a three-phase inductance.
Files in this item
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lecture(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 ...
-
Article dans une revue avec comité de lecture(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(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 ...
-
Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods Communication avec acte(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(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 ...