Technical B-H Saturation Magnetization Curve Models for SPICE, FEM and MoM Simulations

Abstract

Recent development of SPICE, FEM and MoM software often requires the fast and reliable description of BH saturation magnetization curve. In spite of the fact that physical models of BH saturation curve are very sophisticated, for technical purposes, such curve may be modelled by simplified equations. Paper presents the quantitative assessment of the quality of four technical models of BH saturation magnetization curve performed for four modern magnetic materials: constructional corrosion resistant steel, Mn-Zn ferrite, amorphous alloy with perpendicular anisotropy as well as Finemet-type nanocrystalline magnetic material. Presented results confirm reliability of the model as well as indicate that high-speed calculation may be done using arctangent function.

A fitting-extrapolation method of B-H curve for magnetic saturation applications

“…Actually, the magnetic fields are much higher than the maximum permeability in the saturation applications. Consequently, the B-H curve before the maximum permeability can be replaced by a tangent line passing through the origin, as shown in Figure 1, then the remaining data can be fitted with a single-valued function (Szewczyk, 2016; Shane and Sudhoff, 2010; Altair, 2018). The equation in the materials toolbox of certain software is taken as an example here, as followed in (3), researchers can try other functions which may better suit certain materials: …”

Applications and Advances of Magnetoelastic Sensors in Biomedical Engineering: A Review

“…Perfectly soft magnetic material is a material that magnetizes when exposed to a magnetic field, and demagnetizes completely when the field is removed. The concept can be visualized [50] by the BH loop shown in Figure 1a, which shows the magnetic flux density field H . In contrast, a hard-magnetic material [48,49,51] (Figure 1b) will magnetize up to a certain threshold (saturation magnetization H S ) when exposed to an applied field, but will have some remaining field after the magnetic field is cancelled, called the remanence H r [52,53].…”

Multi-Objective Optimization of EE-core Transformers using Geometric Programming

“…Total loss ( 7) is divided into three components: conduction loss (8), proximity loss (9), and core loss (10). There were no partitions for the skin and proximity loss coefficient Fr and Gr fits.…”

“…Xekcore, 5i−4∆Bkcore,5i−3 f swkcore,5i−2 H DC k core,5i−1 T corekcore,5i i=1 (10) where kcore,j are the posynomial fit coefficients. Currently there are only coefficients for 3C81 and N87 and they are fit with 6 terms.…”

“…A max-monomial fit algorithm described in [5] was used. An arctangent model was used to account for core saturation [10]. Reluctance, magnetic permeability, and core loss are generated through curve fitting from data sets created from simulation in the SIMPLIS Magnetic Design Module (MDM) [11] for ferrite core materials 3C81 and N87.…”