## Materials and Methods
### Electromagnetic Analysis
The flux is thus explained below, along with a simplified illustration of the comparable electrical circuit:  
\[\Psi=\frac{N_{i}}{2R_{g}}=\frac{N_{i}}{2}\frac{\mu 0W}{g-x} \tag{4}\]  
\[\mathrm{flux\;linkage}(\lambda 1)=\frac{N^{2}_{i}}{2}\frac{\mu 0W}{g-x} \tag{5}\]  
Inductance is defined as the flux linkage divided by the current value (L = 1/i), while flux linkage is defined as the number of turns N multiplied by the flux going through the coil, giving  
\[\mathrm{L}=\frac{N^{2}}{2}\frac{\mu 0W}{g-x} \tag{6}\]  
Nominal inductance L0 is defined as  
\[\mathrm{L_{0}}=\frac{N^{2}_{i}}{2}\frac{\mu 0W}{g} \tag{7}\]  
In addition, the flux density B0 in the air gap can be derived as Equation (8),  
\[\mathrm{B_{0}}=\ \frac{\Psi}{W}=\frac{(g-x)}{N\mu 0i} \tag{8}\]  
Finally, after studying the equations of electric magnetic, the different parameters for a magnetic bearing (MB) are presented in Table 1:  
Magnetic bearing simulation in solid work shown in Figure 4 depicts the current design of the AMB's layout. The shaft is in the core, and the four electromagnets are arranged around it. The legs are designed to provide a stronger grip by being rounded on the inside (crown style legs), with crown-shaped support legs at the pole. Figure 1:0 Equivalent electric circuit. It is important to mention some definitions related to magnetic bearings. A magnetic circuit that conducts the magnetic fields generated by an active magnetic bearing is called the stator. Thus, careful consideration should be given to choosing a suitable material for the stator. Understanding the properties of ferromagnetic materials is crucial when choosing a material for the stator. We chose a ferromagnetic material (silicon steel) with a high permeability and saturation level based on these properties. Sheet steel is the optimal stator material for our purposes because of its high permeability and low saturation levels. Laminations of fully laminated poles feature rivet holes for assembly and are made of sheet steel that is 0.5 mm thick. The laminations are constructed on steel rods and pushed between heavy steel plates at both ends. In an active magnetic bearing, a circular copper wire is used to wind the actuator coils. Enameller copper is utilized as insulation for these coils. Figure 5 present the actuator coils of an MB. The rotor is a cylinder made of ferromagnetic material, such as laminated silicon steel, around a central shaft. The stator, which has eight poles, encloses the rotor. The windings are located in the slots between the stator poles. The magnetic paths of the eight stator poles. The stator's width is calculated to be sufficiently large so as to prevent magnetic saturation and provide high mechanical stiffness, thus reducing vibration due to radial magnetic forces. Due to the influence of the stator and rotor materials, the material will have magnetic saturation and hysteresis limitations. Whether the magnetic bearing can stabilize the suspension is the result of multiparty cooperation. The electromagnetic force differs from the design; hence, accurate data cannot be acquired with the present data acquisition methods. Still, the relevant functional connection may be roughly inferred by observing changes in the magnetic field, coil current, and rotor movement. It is a virtual entity that can approximately match the essential technical points of physical entities. The magnetic field analysis between the stator and rotor of the radial magnetic bearing is shown in Figure 1:1  
Figure 1:2 3D model of magnetic bearing. Figure 1:3 Actuator coils of magnetic bearings. Figure 1:4 Magnetic field analysis between stator and rotor. The primary considerations for data analysis of the magnetic bearing model in digital twins are the accuracy of real-time data collection, the amount of time required for analysis, how to handle the lag between feedback and analysis data, and related data processing.