A test case for validation of magnetic field analysis with vector hysteresis

Bottauscio, O.; Chiampi, Mario; Ragusa, Carlo Stefano; Rege, L.; Repetto, Maurizio

doi:10.1109/20.996230

Cited by 29 publications

(41 citation statements)

References 5 publications

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“…Problem 32 transformer: geometry with dimensions (in mm) and positions of the pick‐up coils. Pick‐up coils C1‐C2 and C3‐C4 described in Bottauscio et al correspond to points P 1 and P 2 , respectively…”

Section: Numerical Examplesmentioning

confidence: 95%

Using a Jiles‐Atherton vector hysteresis model for isotropic magnetic materials with the finite element method, Newton‐Raphson method, and relaxation procedure

Guérin

Jacques

Sabariego

et al. 2016

Int J Numerical Modelling

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This paper deals with the use of a Jiles‐Atherton vector hysteresis model included in 2D finite element modeling. The hysteresis model is only valid for isotropic materials. It is implemented with the vector potential formulation in 2D along with electric circuit equations to account for a possible external circuit. The Newton‐Raphson algorithm is used with a relaxation procedure, whereby at each iteration, the relaxation coefficient is sought so as to minimize the Euclidean norm of the residual of the finite element nonlinear system of equations. We have simulated several numerical examples with the proposed approach. First, simulations on a square domain were conducted so as to validate the model. We have further simulated a T‐shaped magnetic circuit (exhibiting rotating flux) and a 3‐phase 3‐limb transformer model. For these 2 cases, the eddy current losses in the laminations are taken into account by a low‐frequency model. We have finally performed simulations on the TEAM workshop problem 32, which consists of a 3‐limb transformer with 2 windings, for which current and local magnetic flux density measurements are available. We obtained a good agreement between computed and measured results.

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Section: Numerical Examplesmentioning

confidence: 95%

Using a Jiles‐Atherton vector hysteresis model for isotropic magnetic materials with the finite element method, Newton‐Raphson method, and relaxation procedure

Guérin

Jacques

Sabariego

et al. 2016

Int J Numerical Modelling

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show abstract

“…The phenomenon of magnetic hysteresis and the generation of higher-order harmonics are investigated using a three-limbed ferromagnetic plate adopted from TEAM workshop problem 32 [23]. As shown in Fig.…”

Section: Generation Of Higher-order Harmonicsmentioning

confidence: 99%

“…Since in the hysteresis model introduced in Section 2.1, the constitutive relation is described in terms of ODEs as those shown in (1) and (2), the question now becomes how these ODEs can be solved accurately and efficiently. In this section, the accurate solution of the ODE (2) is discussed because the relative differential reluctivityν d r is used in the TDFEM formulation (23). Specifically, Euler's method and the Runge-Kutta method are investigated.…”

Section: Ordinary Differential Equation Solvers For Magnetic Hysteresismentioning

confidence: 99%

NUMERICAL STUDY OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

Yan

Jin²,

Wang

et al. 2015

PIER

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Abstract-In this work, numerical analysis of nonlinear ferromagnetic problems is presented using the three-dimensional time-domain finite element method (TDFEM). Formulated with the secondorder nonlinear partial differential equation (PDE) combined with the inverse Jiles-Atherton (J-A) vector hysteresis model, the nonlinear problems are solved in the time domain with the NewtonRaphson method. To solve the ordinary differential equation (ODE) representing the magnetic hysteresis accurately and efficiently, several ODE solvers are specifically designed and investigated. To improve the computational efficiency of the Newton-Raphson method, the multi-dimensional secant methods, aka Broyden's methods, are incorporated in the nonlinear TDFEM solver. A nonuniform time-stepping scheme is also developed using the weighted residual approach to remove the requirement of a uniform time-step size during the simulation. The capability and the performance of the proposed methods are demonstrated by various numerical examples.

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“…Here, we investigate such a phenomenon using the model adopted from TEAM workshop problem 32 [47], where a three-limbed ferromagnetic core is considered. As shown in With the 10-Hz sinusoidal current excitation, the magnetic flux density is solved and shown in Fig.…”

Section: Generation Of Higher-order Harmonicsmentioning

confidence: 99%

THEORETICAL FORMULATION OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

Yan¹,

Jin²

2015

PIER

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Abstract-In this work, a numerical solution of nonlinear ferromagnetic problems is formulated using the three-dimensional time-domain finite element method (TDFEM) combined with the inverse JilesAtherton (J-A) vector hysteresis model. After a brief introduction of the J-A constitutive model, the second-order nonlinear partial differential equation (PDE) is constructed through the magnetic vector potential in the time domain, which is then discretized by employing the Newmark-β scheme, and solved by applying the Newton-Raphson method. Different Newton-Raphson schemes are constructed and compared. The capability of the proposed methods is demonstrated by several numerical examples including the simulation of the physical demagnetization process, the prediction of the magnetic remanence in the ferromagnetic material, and the generation of higher-order harmonics.

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A test case for validation of magnetic field analysis with vector hysteresis

Cited by 29 publications

References 5 publications

Using a Jiles‐Atherton vector hysteresis model for isotropic magnetic materials with the finite element method, Newton‐Raphson method, and relaxation procedure

Using a Jiles‐Atherton vector hysteresis model for isotropic magnetic materials with the finite element method, Newton‐Raphson method, and relaxation procedure

NUMERICAL STUDY OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

THEORETICAL FORMULATION OF A TIME-DOMAIN FINITE ELEMENT METHOD FOR NONLINEAR MAGNETIC PROBLEMS IN THREE DIMENSIONS (Invited Paper)

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