I. Introduction
Magnetic materials play an important role in the design of engineering electromagnetic equipment. To analyze the characteristics of electromagnetic devices and to design more sophisticated instruments, the requirements for the simulation of magnetic materials in electromagnetic field simulation are getting higher and higher. How to use mathematical models to simulate hysteresis has always been a research hotspot [1], [2], [3]. In the scalar hysteresis model, magnetic flux density varies with the magnetic field only in one direction. It is usually used in simple hysteresis calculations or post-processing [4]. The vector hysteresis model is used to obtain higher calculation accuracy when the change of the magnetic field is complicated [5], [6].