Optimisation process to solve multirate system
TypeArticles dans des revues avec comité de lecture
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 constant. In an optimisation process, executing the loop of the fixed-point at each model evaluation can be time consuming. By adding one of the searched waveform of the system to the optimisation variables, the loop can be avoided. This strategy is applied to the optimisation of a transformer.
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Multirate coupling of controlled rectifier and non-linear finite element model based on Waveform Relaxation Method HENNERON, Thomas; CLENET, Stéphane; PIERQUIN, Antoine; BRISSET, Stéphane (IEEE, 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 ...
Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods PIERQUIN, Antoine; HENNERON, Thomas; CLENET, Stéphane; BRISSET, Stéphane (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 ...
Benefits of Waveform Relaxation Method and Output Space Mapping for the Optimization of Multirate Systems PIERQUIN, Antoine; BRISSET, Stéphane; HENNERON, Thomas; CLENET, Stéphane (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 ...
PIERQUIN, Antoine; HENNERON, Thomas; CLENET, Stéphane (IEEE, 2017)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 ...
Structure Preserving Model Reduction of Low Frequency Electromagnetic Problem based on POD and DEIM MONTIER, Laurent; PIERQUIN, Antoine; HENNERON, Thomas; CLÉNET, Stéphane (IEEE, 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 ...