Proper Generalized Decomposition method applied to solve 3D Magneto Quasistatic Field Problems coupling with External Electric Circuits
Article dans une revue avec comité de lecture
Author
HENNERON, ThomasCLENET, StéphaneAbstract
In the domain of numerical computation, Proper Generalized Decomposition (PGD), which consists of approximating the solution by a truncated sum of separable functions, is more and more applied in mechanics and has shown its efficiency in terms of computation time and memory requirements. We propose to evaluate the PGD method in order to solve 3D quasi static field problems coupling with an external electric circuit. The numerical model, obtained from the PGD formulation, is used to study 3D examples. The results are compared to those obtained when solving the full original problem. It is shown in this paper that the computation time rate versus the number of time steps is very small compared to the one a classical time stepping method and can be very efficient to solve problems when small time steps are required.
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 ...