TY - JOUR

T1 - A combined Preisach-Hyperbolic Tangent model for magnetic hysteresis of Terfenol-D

AU - Talebian, Soheil

AU - Hojjat, Yousef

AU - Ghodsi, Mojtaba

AU - Karafi, Mohammad Reza

AU - Mirzamohammadi, Shahed

N1 - Publisher Copyright:
© 2015 Elsevier B.V.

PY - 2015/10/10

Y1 - 2015/10/10

N2 - Abstract This study presents a new model using the combination of Preisach and Hyperbolic Tangent models, to predict the magnetic hysteresis of Terfenol-D at different frequencies. Initially, a proper experimental setup was fabricated and used to obtain different magnetic hysteresis curves of Terfenol-D; such as major, minor and reversal loops. Then, it was shown that the Hyperbolic Tangent model is precisely capable of modeling the magnetic hysteresis of the Terfenol-D for both rate-independent and rate-dependent cases. Empirical equations were proposed with respect to magnetic field frequency which can calculate the non-dimensional coefficients needed by the model. These empirical equations were validated at new frequencies of 100 Hz and 300 Hz. Finally, the new model was developed through the combination of Preisach and Hyperbolic Tangent models. In the combined model, analytical relations of the Hyperbolic Tangent model for the first order reversal loops determined the weighting function of the Preisach model. This model reduces the required experiments and errors due to numerical differentiations generally needed for characterization of the Preisach function. In addition, it can predict the rate-dependent hysteresis as well as rate-independent hysteresis.

AB - Abstract This study presents a new model using the combination of Preisach and Hyperbolic Tangent models, to predict the magnetic hysteresis of Terfenol-D at different frequencies. Initially, a proper experimental setup was fabricated and used to obtain different magnetic hysteresis curves of Terfenol-D; such as major, minor and reversal loops. Then, it was shown that the Hyperbolic Tangent model is precisely capable of modeling the magnetic hysteresis of the Terfenol-D for both rate-independent and rate-dependent cases. Empirical equations were proposed with respect to magnetic field frequency which can calculate the non-dimensional coefficients needed by the model. These empirical equations were validated at new frequencies of 100 Hz and 300 Hz. Finally, the new model was developed through the combination of Preisach and Hyperbolic Tangent models. In the combined model, analytical relations of the Hyperbolic Tangent model for the first order reversal loops determined the weighting function of the Preisach model. This model reduces the required experiments and errors due to numerical differentiations generally needed for characterization of the Preisach function. In addition, it can predict the rate-dependent hysteresis as well as rate-independent hysteresis.

KW - Hyperbolic Tangent model

KW - Magnetic hysteresis

KW - Preisach model

KW - Terfenol-D

UR - http://www.scopus.com/inward/record.url?scp=84939127423&partnerID=8YFLogxK

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U2 - 10.1016/j.jmmm.2015.08.006

DO - 10.1016/j.jmmm.2015.08.006

M3 - Article

AN - SCOPUS:84939127423

VL - 396

SP - 38

EP - 47

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

SN - 0304-8853

M1 - 60488

ER -