A simple vector generalization of the Jiles-Atherton model of hysteresis

Bergqvist, A.

doi:10.1109/20.539337

Cited by 112 publications

(79 citation statements)

References 7 publications

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“…Case 3 of TEAM 32 problem (details can be found in [14]) has been solved in 2-D using the vector JA model [15] in Infolytica's MagNet [16]. We have computed and used two sets of the JA parameters for 35WW300 NO electrical steels at two different temperatures (i.e., 50°C and 300°C) using the data given in Table I.…”

Section: A Application Example-team 32 Problemmentioning

confidence: 99%

Temperature Dependence in the Jiles–Atherton Model for Non-Oriented Electrical Steels: An Engineering Approach

Hussain

Bénabou²,

Clénet

et al. 2018

IEEE Trans. Magn.

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. High operating temperatures modify the magnetic behavior of ferromagnetic cores which may affect the performance of electrical machines. Therefore, a temperature-dependent material model is necessary to model the electrical machine behavior more accurately during the design process. Physics-inspired hysteresis models, such as the Jiles-Atherton (JA) model, seem to be promising candidates to incorporate temperature effects and can be embedded in finite element simulations. In this paper, we have identified the JA model parameters from measurements for a temperature range experienced by non-oriented electrical steels in electrical machines during their operation. Based on the analysis, a parameter reduction has been performed. The proposed approach simplifies the identification procedures by reducing the number of model parameters and does not require any additional material information, such as the Curie temperature. The resulting temperature-dependent JA model is validated against measurements, and the results are in good agreement.

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Section: A Application Example-team 32 Problemmentioning

confidence: 99%

Temperature Dependence in the Jiles–Atherton Model for Non-Oriented Electrical Steels: An Engineering Approach

Hussain

Bénabou²,

Clénet

et al. 2018

IEEE Trans. Magn.

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“…In order to characterize anisotropic materials and to be applied in the analysis of threedimensional vector problems, a vector model is needed. In this work, the vector generalization of the J-A model developed in [9] is adopted. By following a similar physical reasoning, the scalar variables used in the preceding section can be elevated to vectors and tensors.…”

Section: Vector Jiles-atherton Modelmentioning

confidence: 99%

“…Different variations of these models have also been developed for different applications [7][8][9][10], including the generalizations from the static to the dynamic model, from the scalar to the vector model, and from the forward to the inverse model.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, the three-dimensional time-domain finite element method (TDFEM) [18] is employed and combined with the Newton-Raphson and Newton-like methods to solve magnetic-dynamic problems with nonlinear ferromagnetic materials modeled by the inverse vector J-A model [9,10] at relatively low frequencies. The second-order partial differential equation (PDE) in the time domain is first formulated, and the nonlinear hysteresis model is incorporated.…”

Section: Introductionmentioning

confidence: 99%

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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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“…In our previous work [1], a numerical solution to the nonlinear magnetic problem is formulated with a three-dimensional time-domain finite element method (TDFEM) [2] combining with the inverse vector Jiles-Atherton (J-A) model [3][4][5][6]. The physical problem is expressed as a nonlinear second-order partial differential equation (PDE) in the time domain, which is solved using the Newton-Raphson or Newtonlike methods.…”

Section: Introductionmentioning

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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A simple vector generalization of the Jiles-Atherton model of hysteresis

Cited by 112 publications

References 7 publications

Temperature Dependence in the Jiles–Atherton Model for Non-Oriented Electrical Steels: An Engineering Approach

Temperature Dependence in the Jiles–Atherton Model for Non-Oriented Electrical Steels: An Engineering Approach

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

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

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