Prediction of Magnetic Losses in Giant Magnetostrictive Materials Under Different Sinusoidal Excitation Magnetic Fields
Yanfei Wei, Xin Yang, Yukai Chen, Haobin Zheng, Liliang Su
Abstract
The statistical theory of magnetic losses provides a simple and general method for the interpretation and prediction of losses in various magnetic materials. However, there are difficulties in assessing the losses since it would require additional experimental data and is seldom available to device designers. In this article, based on the modified dynamic Jiles–Atherton (JA) model by parameters scaling, a parameter extraction process by three successive steps is proposed for identifying 11 effective parameters applicable to different sinusoidal excitation magnetic fields. It provides a promising solution for the prediction of magnetic losses in giant magnetostrictive material (GMM). First, a quasi-static saturation <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$B$ </tex-math></inline-formula> – <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H$ </tex-math></inline-formula> curve is used to obtain five saturation parameters. Four optimization coefficients are then determined using the arbitrary quasi-static minor <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$B$ </tex-math></inline-formula> – <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H$ </tex-math></inline-formula> curve. Finally, on the basis of the nine parameters determined in the former two steps, two dynamic factors are determined using an arbitrary dynamic minor <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$B$ </tex-math></inline-formula> – <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H$ </tex-math></inline-formula> curve. Then, all 11 coefficients were obtained, which could be used to reliably simulate the hysteresis loop of GMM under different sinusoidal excitation magnetic fields and realize the prediction of magnetic loss. The simulation results of the proposed model are in good agreement with the experimental results, which confirm its validity and accuracy. The proposed parameter extraction process can remarkably reduce the required experiment tests, and only three sets of experimental curves are needed to achieve a fast and accurate prediction of GMM magnetic losses.