Design of experiment for hysteresis loops measurement

作者：Tuckova Michaela^*; Harman Radoslav; Tucek Pavel; Tucek Jiri

来源：Journal of Magnetism and Magnetic Materials, 2014, 368: 64-69.

DOI：10.1016/j.jmmm.2014.05.012

• Hysteresis loop
• Langevin function
• Brillouin function
• Nonlinear regression model
• D-optimal design of experiment
• Maximin efficient design of experiment

Hysteresis loop measurements are frequently used to assess the magnetic quality of a nanomaterial under an external magnetic field. Based on the values of the hysteresis parameters, it is possible to decide whether the nanomaterial meets requirements of a given application. In this work, we present a new approach to the measurement of the hysteresis loop based on the theory of optimal experimental design. We show that the maximin efficient design leads to a reduction in the measurements costs when compared to the standard equispaced measurement design. Moreover, a significantly higher accuracy in the estimation of hysteresis parameters is reached within a broad range of plausible values. The functionality of the proposed approach is successfully tested considering real experimental data obtained from the hysteresis loop measurements of the e-Fe2O3 phase. The measurement procedure can be easily adapted to any magnetic nanomaterial for which the values of its hysteresis parameters are to be determined.

• 出版日期2014-11