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Reliable representation of magnetization curves at higher magnetic fields is needed to accurately model and design devices in FEM software. Standard closed circuit magnetic induction measurements for ferromagnetic materials in such devices are usually limited to around 2 T for most Epstein frame equipment, above which, measurements become increasingly unreliable, as field generation capacity becomes limited. The popular numerical extrapolation algorithms used by these software packages, though useful, can be misleading due to the lack of magnetic information in the existing algorithms. Hence for better understanding of simulation and modeling of the macroscopic representation of these materials, a critique of various extrapolation procedures has been carried out in this work, along with recommendations for the procedures to use in order improve the accuracy of magnetic material representation in electromagnetic device design at high fields.