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1. Domain Decomposition and Model Order Reduction for Electromagnetic Field Simulations in Carbon Fiber Composite Materials

Author

Suyang Lou, Antoine Pierquin, Guillaume Wasselynck, Didier Trichet, and Nicolas Bracikowski

Subjects
model order reduction (MOR), domain decomposition (DD), multi-scale simulation, Technology, Engineering (General). Civil engineering (General), TA1-2040, Biology (General), QH301-705.5, Physics, QC1-999, Chemistry, QD1-999
Abstract

The computation of the electric field in composite materials at the microscopic scale results in an immense number of degrees of freedom. Consequently, this often leads to prohibitively long computation times and extensive memory requirements, making direct computation impractical. In this study, one employs an innovative approach that integrates domain decomposition and model order reduction to retain local information while significantly reducing computation time. Domain decomposition allows for the division of the computational domain into smaller, more manageable subdomains, enabling parallel processing and reducing the overall complexity of the problem. Model order reduction further enhances this by approximating the solution in a lower-dimensional subspace, thereby minimising the number of unknown variables that need to be computed. Comparative analysis between the results obtained from the reduced model and those from direct resolution demonstrates that our method not only reduces computation time but also maintains accuracy. The new method effectively captures the essential characteristics of the electric field distribution in composite materials, ensuring that the local phenomena are accurately represented. This study provides a contribution to the field of computational electromagnetics by presenting a feasible solution to the challenges posed by the high computational demands of simulating composite materials at the microscopic scale. The proposed methodology offers a promising direction for future research and practical applications, enabling more efficient and accurate simulations of complex material systems.

Published
2024
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4. Coupled Numerical and Experimental Identification of Geometrical Parameters for Predicting the Electrical Conductivity of CFRP Layers

Author

Antoine Pierquin, Banda Kane, Didier Trichet, and Guillaume Wasselynck

Subjects
Constraint (information theory), Identification (information), Electrical resistivity and conductivity, Computer science, Mechanical engineering, Electrical and Electronic Engineering, Electronic, Optical and Magnetic Materials
Abstract

The analysis of the electrical behavior of a unidirectional (UD) composite material requires a lot of resources and measurement techniques. To overcome this constraint, the real composite material is replaced by a virtual material with same overall behavior. In this article, an approach to determine the setting parameters of the virtual material model is presented to accurately reconstruct the electrical behavior of a real UD material in the three spatial directions.

Published
2020

5. Nonlinear data-driven model order reduction applied to circuit-field magnetic problem

Author

Antoine Pierquin, Thomas Henneron, Institut de Recherche en Energie Electrique de Nantes Atlantique EA4642 (IREENA), Institut Universitaire de Technologie Saint-Nazaire (IUT Saint-Nazaire), Université de Nantes (UN)-Université de Nantes (UN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Institut Universitaire de Technologie - La Roche-sur-Yon (IUT La Roche-sur-Yon), Université de Nantes (UN)-Université de Nantes (UN), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), and Université catholique de Lille (UCL)-Université catholique de Lille (UCL)

Subjects
Model order reduction, Electromagnetic field, Computation, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Context (language use), data driven, Magnetostatics, Finite element method, Electronic, Optical and Magnetic Materials, Nonlinear system, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, model order reduction, Applied mathematics, nonlinear magnetic problem, Electrical and Electronic Engineering, Interpolation
Abstract

International audience; As in most of the domains in physics, finite element formulation is a very common method for electromagnetic fields computation. Since many years both proper orthogonal decomposition and empirical interpolation method are also often used in a model order reduction context. If these methods are efficients, their application is intrusive because it requires an access to the matrices and the assembly step. To avoid such an aspect, a data-driven model order reduction based on proper orthogonal decomposition with an approximation of the nonlinear terms by radial basis functions interpolation is applied to a magnetostatic problem coupled with circuit equations. The nonlinear reduced order model only needs solutions of a finite element analysis to be generated.

Published
2021

6. Mesh Deformation Based on Radial Basis Function Interpolation Applied to Low-Frequency Electromagnetic Problem

Author

Stephane Clenet, Antoine Pierquin, Thomas Henneron, L2EP - Équipe Outils et Méthodes Numériques (OMN), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL)-Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], and L2EP - Équipe Outils et Méthodes Numériques [OMN]

Subjects
Radial Basis Function, Electromagnetics, low frequency electromagnetism, Discretization, Computer science, finite element method, Conformal map, Sciences de l'ingénieur, mesh deformation, 01 natural sciences, Displacement (vector), [SPI]Engineering Sciences [physics], Nondestructive testing, 0103 physical sciences, Radial basis function, Electrical and Electronic Engineering, ComputingMilieux_MISCELLANEOUS, 010302 applied physics, business.industry, Mathematical analysis, frequency electromagnetism, Finite element method, Electronic, Optical and Magnetic Materials, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, business, Interpolation
Abstract

International audience; 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 mesh and to apply the Finite Element (FE) method. To perform the displacement of nodes, interpolation method can be investigated in this context. In this paper, the Radial Basis Function (RBF) interpolation method is applied for low frequency electromagnetic problems solved by the FE method. A 2D magnetostatic example is considered to study the influence of the parameters of the RBF interpolation. To test the extension in 3D, a non destructive testing (NDT) problem is treated where the shape of the crack is modified by applying the proposed method.

Published
2019

7. Surrogate Model Based on the POD Combined With the RBF Interpolation of Nonlinear Magnetostatic FE Model

Author

Antoine Pierquin, Thomas Henneron, Stephane Clenet, Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), and Université catholique de Lille (UCL)-Université catholique de Lille (UCL)

Subjects
Nonlinear magnetostatic problem, Proper Orthogonal Decomposition, Computer Science::Computational Geometry, Sciences de l'ingénieur, 01 natural sciences, law.invention, [SPI]Engineering Sciences [physics], Surrogate model, law, Radial Basis Functions, 0103 physical sciences, Electronic, Applied mathematics, Radial basis function, Optical and Magnetic Materials, Electrical and Electronic Engineering, Model Order Reduction, Transformer, Computer Science::Databases, Mathematics, 010302 applied physics, Model order reduction, Electronic, Optical and Magnetic Materials, Inductance, Nonlinear system, Point of delivery, Interpolation
Abstract

International audience; 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.

Published
2020

8. Multidisciplinary Optimization Formulation for the Optimization of Multirate Systems

Author

Stephane Brisset, Thomas Henneron, Antoine Pierquin, L2EP - Équipe Outils et Méthodes Numériques [OMN], Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, L2EP - Équipe Outils et Méthodes Numériques (OMN), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL)-Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, and Université catholique de Lille (UCL)-Université catholique de Lille (UCL)

Subjects
Mathematical optimization, Optimization problem, Computer science, multi-physics and coupled problems, multidisciplinary optimization, 010103 numerical & computational mathematics, 01 natural sciences, symbols.namesake, Discrete optimization, 0103 physical sciences, 0101 mathematics, Electrical and Electronic Engineering, Global optimization, 010302 applied physics, Continuous optimization, Multidisciplinary design optimization, Probabilistic-based design optimization, Relaxation (iterative method), Finite element method, Electromagnetic coupling, waveform relaxation method, Electronic, Optical and Magnetic Materials, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Lagrangian relaxation, symbols, Test functions for optimization, Stochastic optimization
Abstract

International audience; Multidisciplinary optimization strategies are widely used in static case and can be extended to a problem with a time-domain model in order to reduce optimization time. The waveform relaxation method is a fixed-point approach applied to waveforms which allows the coupling of dynamic models. By using the individual discipline feasibility strategy, the coupling is transferred to the optimization problem and leads to a high decrease of the number of model evaluations compared to the multidisciplinary feasibility strategy. The drawback of this approach might be the increased number of optimization variables but it is coped through an efficient way to compute the derivatives of time-dependent variables.

Published
2016

9. Data-Driven Model-Order Reduction for Magnetostatic Problem Coupled With Circuit Equations

Author

Antoine Pierquin, Thomas Henneron, Stephane Clenet, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), L2EP - Équipe Outils et Méthodes Numériques (OMN), HESAM Université (HESAM)-HESAM Université (HESAM)-Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Université catholique de Lille (UCL)-Université catholique de Lille (UCL)-Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], and Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697

Subjects
model order reduction, finite element model, Data driven, 0209 industrial biotechnology, Finite element method, Computer science, Energie électrique [Sciences de l'ingénieur], 02 engineering and technology, 01 natural sciences, Matrix decomposition, Reduction (complexity), Matrix (mathematics), 020901 industrial engineering & automation, Control theory, 0103 physical sciences, Data Driven, Time domain, Electrical and Electronic Engineering, ComputingMilieux_MISCELLANEOUS, Electromagnétisme [Sciences de l'ingénieur], 010302 applied physics, Model order reduction, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Magnetostatics, Electronic, Optical and Magnetic Materials, Magnetic circuit, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Analyse numérique [Mathématique], [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]
Abstract

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.

Published
2018

10. Optimisation process to solve multirate system

Author

Antoine Pierquin, Stephane Clenet, Stephane Brisset, Thomas Henneron, L2EP - Équipe Outils et Méthodes Numériques [OMN], Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, L2EP - Équipe Outils et Méthodes Numériques (OMN), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM)-Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL)-Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, and Université catholique de Lille (UCL)-Université catholique de Lille (UCL)

Subjects
010302 applied physics, Computer science, multirate modelling, multidisciplinary optimisation, waveform relaxation method, Process (computing), ComputerApplications_COMPUTERSINOTHERSYSTEMS, 02 engineering and technology, Sciences de l'ingénieur, 01 natural sciences, 020202 computer hardware & architecture, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Waveform relaxation method, Control theory, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Electrical and Electronic Engineering, Computer Science::Databases
Abstract

International audience; 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

Published
2015

11. Model Order Reduction of Electrical Machines with Multiple Inputs

Author

Mehrnaz Farzamfar, Stephane Clenet, Antoine Pierquin, Paavo Rasilo, Anouar Belahcen, Aalto University School of Science and Technology [Aalto, Finland], Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Tampere University, Electrical Energy Engineering, Research area: Power engineering, Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, and Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]

Subjects
Finite element methods, Finite element method, model order reduction (MOR), Energie électrique [Sciences de l'ingénieur], 010103 numerical & computational mathematics, 02 engineering and technology, 01 natural sciences, Industrial and Manufacturing Engineering, Matrix decomposition, Dimension (vector space), Interior permanent magnet machine, Control theory, Electrical machines, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Torque, Model order reduction, Proper orthogonal decomposition, 0101 mathematics, Electrical and Electronic Engineering, Electromagnétisme [Sciences de l'ingénieur], Mathematics, 010302 applied physics, ta213, proper orthogonal decomposition (POD), 213 Electronic, automation and communications engineering, electronics, Multivariable calculus, ta111, 020208 electrical & electronic engineering, [SPI.NRJ]Engineering Sciences [physics]/Electric power, finite-element methods (FEM), Nonlinear system, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Terminal (electronics), Control and Systems Engineering, Analyse numérique [Mathématique], Model Order Reduction, Rotation (mathematics), Vector potential
Abstract

International audience; In this paper, proper orthogonal decomposition method is employed to build a reduced-order model from a high-order nonlinear permanent magnet synchronous machinemodel with multiple inputs. Three parameters are selected as the multiple inputs of the machine. These parameters are terminal current, angle of the terminal current, and rotationangle. To produce the lower-rank system, snapshots or instantaneous system states are projected onto a set of orthonormal basis functions with small dimension. The reducedmodel is then validated by comparing the vector potential, flux density distribution, and torque results of the original model,which indicates the capability of using the proper orthogonal decomposition method in the multi-variable input problems. The developed methodology can be used for fast simulations of the machine.

Published
2017

12. Optimization of the TEAM 22 problem using POD-EIM reduced model

Author

Stephane Clenet, Thomas Henneron, Stephane Brisset, and Antoine Pierquin

Subjects
010302 applied physics, Model order reduction, Continuous optimization, Mathematical optimization, Optimization problem, Computer science, Probabilistic-based design optimization, Mixed finite element method, 01 natural sciences, Vector optimization, Discrete optimization, 0103 physical sciences, Test functions for optimization, Computer Science::Databases
Abstract

The finite element models are not very used in optimization because of their computation time, in spite of their precision. Model order reduction and matrix interpolation techniques can be applied to a finite element model to obtain a fast and precise model, which can be used in optimization. These techniques are used for the modeling and the optimization of the TEAM 22 workshop problem.

Published
2016

13. Comparison of DEIM and BPIM to speed up a POD-based nonlinear magnetostatic model

Author

Laurent Montier, Thomas Henneron, Antoine Pierquin, Stephane Clenet, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, and Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]

Subjects
Proper Orthogonal Decomposition, MathematicsofComputing_NUMERICALANALYSIS, Bilinear interpolation, Empirical Interpolation Method, 01 natural sciences, Multivariate interpolation, Nearest-neighbor interpolation, 0103 physical sciences, Applied mathematics, 0101 mathematics, Electrical and Electronic Engineering, Mathematics, Electromagnétisme [Sciences de l'ingénieur], 010302 applied physics, Inverse quadratic interpolation, Trilinear interpolation, Best Points Interpolation Method, Computer Science::Numerical Analysis, Electronic, Optical and Magnetic Materials, 010101 applied mathematics, Nonlinear system, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Analyse numérique [Mathématique], Spline interpolation, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Interpolation
Abstract

International audience; Proper Orthogonal Decomposition (POD) has been successfully used to reduce the size of linear Finite Element (FE) problems, and thus the computational time associated with. When considering a nonlinear behavior law of the ferromagnetic materials, the POD isnot so efficient due to the high computational cost associated to the nonlinear entries of the full FE model. Then, the POD approach must be combined with an interpolation method to efficiently deal with the nonlinear terms, and thus obtaining an efficient reduced model. An interpolation method consists in computing a small number of nonlinear entries and interpolating the other terms. Different methods have been presented to select the set of nonlinear entries to be calculated. Then, the (Discrete) Empirical Interpolation method ((D)EIM) and the Best Points Interpolation Method (BPIM) have been developed. In this article, we propose to compare two reduced models based on the POD-(D)EIM and on the POD-BPIM in the case of nonlinear magnetostatics coupled with electric equation.

Published
2016

14. Multirate coupling of controlled rectifier and non-linear finite element model based on Waveform Relaxation Method

Author

Stephane Brisset, Stephane Clenet, Antoine Pierquin, Thomas Henneron, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], and Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697

Subjects
Computer science, Energie électrique [Sciences de l'ingénieur], 010103 numerical & computational mathematics, 01 natural sciences, WRM, law.invention, Waveform relaxation method, Waveform Relaxation Method, Software, Control theory, law, 0103 physical sciences, 0101 mathematics, Electrical and Electronic Engineering, Transformer, 010302 applied physics, Coupling, business.industry, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Time constant, multi-physics and coupled problem, Finite element method, Electronic, Optical and Magnetic Materials, Nonlinear system, multirate system, Finite Element Method, business, Pulse-width modulation
Abstract

International audience; 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 Relaxation Method (WRM) seems to be an interesting solution for the coupling but until now it has been mainly applied on academic examples. In this paper, the WRM is applied to perform the coupling of a controlled rectifier and a non-linear finite element model of a transformer.

Published
2016

15. Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods

Author

Stephane Clenet, Antoine Pierquin, Thomas Henneron, Stephane Brisset, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), and Université catholique de Lille (UCL)-Université catholique de Lille (UCL)

Subjects
Computer science, Computation, Energie électrique [Sciences de l'ingénieur], model-order reduction, Krylov subspace, Matrix decomposition, proper orthogonal decomposition, Model Order Reduction, Proper Orthogonal Decomposition, Quasi-static problem, Projection method, Hardware_INTEGRATEDCIRCUITS, Applied mathematics, Electrical and Electronic Engineering, Frequency-domain analysis, Model order reduction, Physics::Computational Physics, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Domain decomposition methods, Generalized minimal residual method, Computer Science::Numerical Analysis, quasi-static problem, Electronic, Optical and Magnetic Materials, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, Frequency domain, Computer Science::Mathematical Software
Abstract

International audience; The Proper Orthogonal Decomposition method and the Arnoldi-based Krylov projection method are investigated in order to reduce a finite element model of a quasistatic problem. Both methods are compared on an academic example in terms of computation time and precision.

Published
2015

16. Benefits of Waveform Relaxation Method and Output Space Mapping for the Optimization of Multirate Systems

Author

Stephane Clenet, Stephane Brisset, Antoine Pierquin, Thomas Henneron, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Centrale Lille-Haute Etude d'Ingénieurs-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université (HESAM)-HESAM Université (HESAM), Laboratoire électrotechnique et électronique industrielle (LEEI), Institut National Polytechnique (Toulouse) (Toulouse INP), and Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Centre National de la Recherche Scientifique (CNRS)

Subjects
Differential algebraic equations, Finite element methods, Optimization problem, Iterative method, Computer science, Energie électrique [Sciences de l'ingénieur], Computation, Context (language use), 02 engineering and technology, 01 natural sciences, [SPI]Engineering Sciences [physics], 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Electromagnetic coupling, Optimization methods, Electrical and Electronic Engineering, Electromagnétisme [Sciences de l'ingénieur], 010302 applied physics, [SPI.NRJ]Engineering Sciences [physics]/Electric power, Space mapping, Finite element method, 020202 computer hardware & architecture, Electronic, Optical and Magnetic Materials, [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism, FEMs, Differential algebraic equation, Algorithm
Abstract

International audience; 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.

Published
2014

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