Fiche individuelle
Guillaume CARON | ||
Titre | Doctorant | |
Equipe | Outils et Méthodes Numériques | |
Téléphone | +33 (0)3-XX-XX-XX-XX | |
guillaume2.caron@etudiant.univ-lille1.fr | ||
Publications |
ACLI Revue internationale avec comité de lecture |
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[1] Time periodicity condition of nonlinear magnetostatic problem coupled with electric circuit imposed by Waveform Relaxation Method IEEE Transactions on Magnetics, Vol. 52, N°. 3, 03/2016, URL, Abstract CARON Guillaume, HENNERON Thomas, PIRIOU Francis, MIPO Jean-Claude |
In numerical computation, the finite element (FE) method associated with external electric circuits is often used to evaluate electromagnetic devices with voltage sources. To study the solution of the steady state, the computation time can be prohibitive due to a large transient state compared to the time step used to discretize the time domain. In this paper, a method based on Waveform Relaxation Method is developed in order to impose the steady state of the solution in the case of a nonlinear magnetostatic problem coupled with electric circuit equations. |
[2] Waveform relaxation-Newton method to determine steady state: application to three-phase transformer The International Journal for Computation and Mathematics in Electrical and Electronic Engineering (COMPEL), Vol. 36, N°. 3, A paraître, Abstract CARON Guillaume, HENNERON Thomas, PIRIOU Francis, MIPO Jean-Claude |
To determine the steady state of an electromagnetic structure with the finite element method without calculation of the transient state. The proposed method permits to reduce the computation time if the transient state is important. In the case of coupling magnetic and electric circuit equations to obtain the steady state with periodic conditions, an approach can be to discretise the time with periodic conditions and to solve the equation system. Unfortunately, the computation time can be prohibitive. In this paper, the authors proposed to use the waveform relaxation method associated to Newton method to accelerate the convergence. The obtained results show that the proposed approach is efficient if the transient state is important. On the contrary, if the transient is very low it is preferable to use the classical approach namely the time stepping finite element method. The main limitation of the proposed approach is the necessity to evaluate or to know the time constant and consequently the duration of the transient state. Moreover the method requires some important memory resources. In the context of the use of the time stepping finite element method, one of the problems is the computation time which can be important to obtain the steady state. The proposed method permits avoidance of this difficulty and gives directly the steady state. The novelty is the proposal of the waveform relaxation Newton method to obtain directly the steady state in the case of the study of the three phases transformer |
ACT Conférence internationale avec acte |
[1] Numerical Modeling of Steady State of Magnetostatic Problems Coupled with nonlinear Electric Circuit Conférence CEFC 2016, Miami, 11/2016, 11/2016 CARON Guillaume, HENNERON Thomas, PIRIOU Francis, MIPO Jean-Claude |
[2] Waveform Relaxation-Newton Method to determine Steady State Operation: Application to three-phase transformer Conference EPNC 2016, Helsinki, 06/2016, Abstract CARON Guillaume, HENNERON Thomas, PIRIOU Francis, MIPO Jean-Claude |
This paper presents a 3-D finite element method to determine the steady state operation for magnetostatic problems coupled with electrical circuit equations. For this purpose, the waveform relaxation method combined with the Newton method (WR-NM) is developed. This method is especially suitable to long transient problems. To show the efficiency of this approach a three-phase transformer is studied. The results show that the WR-NM becomes very efficiency when the transient state is more important than about 10 periods. |
[3] Waveform Relaxation Method combined with Proper Orthogonal Decomposition to solve linear magnetodynamic steady state problem coupled with electric circuit Conférence EMF 2016, Lyon, 04/2016 CARON Guillaume, HENNERON Thomas, PIRIOU Francis, MIPO Jean-Claude |
[4] Time periodicity condition of magnetostatic problem coupling with electric circuit imposed by Waveform Relaxation Method Conférence Compumag 2015, Montreal, 06/2015, URL, Abstract CARON Guillaume, HENNERON Thomas, PIRIOU Francis, MIPO Jean-Claude |
In numerical computation, the finite element (FE) method associated with external electric circuits is often used to evaluate electromagnetism devices with voltage sources. To study the solution of the steady state, the computation time can be prohibitive due to a large transient state compared with the time step used to discretize the time domain. In this communication, the Waveform Relaxation Method is developed to impose the steady state of the solution in the case of magnetostatic problem coupled with electric cricuit equation. |