MATHEMATICAL MODEL OF MAGNETIC SUSPENSION SYSTEMS

Magnetic levitation is the process of levitating an object by using a magnetic field, which is becoming more widely used in various areas. Systems for holding an object in space using electromagnetic force of attraction are called mag-netic suspension systems. Publications analysis showed that the greatest attention during the study of these systems is mainly paid to the crea-tion of magnetic bearings and control systems for them. However, the problem of the magnetic suspension system optimal design geometry is not covered enough in the literature. Generally in such systems the control algorithm is de-signed which is rather complicated, since the excited vibration damping requires the absolute position of the object in addition to the speed changes and the magnetic hysteresis of the system to be taken into account as well as the fast current change requirements. However, the latter imposes certain requirements on the parameters of the electromagnet: a low resistance (less power and heat loss), low inductance of the electromagnet (the ability of the fast current changes), and a high magnetic force. The complexity of all the conditions simultaneously makes the optimal magnetic system design problem of the high priority. This article contains the current state of the systems analysis, the system structure description, the effect of the dis-tance to the object on the coil inductance of the electromagnet, a mathematical model of classical magnetic suspension system, its implementation and result analysis in Matlab.