MATHEMATICAL MODELING OF ELECTRIC MACHINE WITH THREE-DEGREE-OF-FREEDOM GYROSTABILIZED ROTOR

Abstract

A retrospective review of the development of the theory and practical structures of electric machines with a three-degree-of-freedom rotor (EMTR) at the Institute of Electrodynamics of the National Academy of Sciences of Ukraine. The applications of EMTR in surveillance, tracking and stabilization systems on moving objects are listed. The relevance of the development of such machines is shown. The disadvantages of the classical mathematical model of EMTR are noted and the need to develop a refined mathematical model due to the need to develop new technology, the emergence of new materials and electronic components, as well as the growth of computing capabilities. The two main known structures of EMTR are described and the advantages of the perspective structure chosen as the basic one are listed. The model of static three-dimensional magnetic field of EMTP and the associated dynamic model in the COMSOL Multiphisics environment are substantiated and constructed for the basic structure of EMTR. The connection between the magnetostatic problem and the rotor motion dynamics problem is ensured by the fact that the data of the calculated instantaneous characteristics are transmitted in the form of approximated dependences to the dynamic problem. In the mode of free rotation without losses, the dependences of the precession angle on time, amplitude and phase of the sinusoidal current of the control winding are calculated. High accuracy of observance of the direction of precession of the axis of the rotor at observance of the corresponding initial phase of sinusoidal current of a control winding is noted. The influence of rotation windings on the moment created by the control winding is investigated. References 3, figures 8.