Inverse Jiles–Atherton Vector Hysteresis Model

Leite, Jean V.; Sadowski, N.; Kuo‐Peng, Patrick; Batistela, Nelson Jhoe; Bastos, J.P.A.; Espindola, A. A.

doi:10.1109/tmag.2004.830998

Cited by 114 publications

(52 citation statements)

References 10 publications

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“…In this section, we briefly review the nonlinear inverse J-A hysteresis model [6] and the TDFEM formulation for nonlinear magnetic problems developed in [1], and present simple numerical examples for validation.…”

Section: Tdfem Formulations For Nonlinear Magnetic Problemsmentioning

confidence: 99%

“…In the inverse vector J-A model [6], the magnetic field H and the magnetization M are formulated as functions of the magnetic flux B…”

Section: Inverse Vector Jiles-atherton Modelmentioning

confidence: 99%

“…Equation (6) can be solved step by step by marching from the known solutions at the (n − 1)th and the nth time steps to the (n + 1)th time step. Once the magnetic vector potential A is obtained at some time step t n+1 , the magnetic flux B and electric field E at the same time step can be calculated.…”

Section: Nonlinear Time-domain Finite Element Formulationmentioning

confidence: 99%

“…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%

See 3 more Smart Citations

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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Section: Tdfem Formulations For Nonlinear Magnetic Problemsmentioning

confidence: 99%

“…In the inverse vector J-A model [6], the magnetic field H and the magnetization M are formulated as functions of the magnetic flux B…”

Section: Inverse Vector Jiles-atherton Modelmentioning

confidence: 99%

Section: Nonlinear Time-domain Finite Element Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

View full text Add to dashboard Cite

show abstract

“…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%

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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Static hysteresis loop model with changing parameters

Gmyrek

2013

Int. Trans. Electr. Energ. Syst.

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SUMMARY The application of the Jiles–Atherton (J–A) hysteresis model for numerical modeling of measured quasistatic hysteresis loops of non‐oriented soft magnetic material is investigated. The J–A model used assumes its parameters are dependent on actual effective magnetic field strength. This is performed by using a new parameter associated with the mathematical description of the J–A model. In this paper, the author demonstrates that these varying parameters and the proposed algorithm of parameter estimation are useful in accurate numerical modeling of the static hysteresis loop. Results of modeling are compared with experimental measurements, demonstrating very good agreement in a wide range of maximum field strength. Copyright © 2013 John Wiley & Sons, Ltd.

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Inverse Jiles–Atherton Vector Hysteresis Model

Cited by 114 publications

References 10 publications

NUMERICAL STUDY 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)

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

Static hysteresis loop model with changing parameters

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