Mathematical Modeling of a Screw Electromechanical Energy Converter Hydrodynamic Processes under Variable Load Conditions

Abstract

This paper examines a multifunctional energy converter (MFEC), which is an induction motor with a solid (ferromagnetic) hollow rotor of external design. The functional purpose of the MFEC is the mixing and heating of loose or low-melting materials that move along the outer surface of the solid rotor. At the same time, the rotor is heated due to eddy currents excited by the inner stator winding. When calculating the dynamic modes of the MFEC - start-up, rotation at a constant speed, braking - it is necessary to know the magnitude of the moment of resistance to the rotation of the rotor. For the MFEC, which mixes the material in a closed limited space, this moment is not constant, but is determined by the viscosity of the medium; the diameter of the mixing channel; the amount of material captured in the mixing process; speed of rotation of the rotor, etc. In order to take into account main factors that are affecting on the moment of resistance, it is necessary to make a mathematical model of the behavior of the device in a fluid or viscous medium. This model will make it possible to find the functional dependence of the moment of resistance on all the above factors and to calculate the power spent on overcoming the resistance forces of the environment. In further calculations, modeling or design of the MFEC, this power will be part of the total capacity of the MFEC. This paper will be useful not only for the specific application under consideration, but also for any other processes related to the dynamic loading of electric motors.