ЗАГАЛЬНІ ПІДХОДИ ДО СТВОРЕННЯ МАТЕМАТИЧНОЇ МОДЕЛІ СИНХРОННО-РЕАКТИВНОГО ДВИГУНА З ПОСТІЙНИМИ МАГНІТАМИ ДЛЯ ЕЛЕКТРОТРАНСПОРТУ

Abstract. The article considers promising methods for creating mathematical models of traction synchronous-reactive motors with permanent magnets, which makes it possible to take into account the geometric parameters of the location of magnets in the motor excitation system. According to the results of numerical experiments on the calculations of the magnetic field by the finite element method in the plane-parallel formulation of the problem and subsequent regression analysis, five-dimensional polynomial dependences of the derivatives of flux linkages and torque on current and angular coordinate were obtained, which make it possible to identify a generalized mathematical model of a synchronous reactive traction motor, both with a non-sectioned and sectioned rotor, for a metro car. When conducting regression analysis, a rational order of the function approximating the flux linkage of the motor phases and its derivatives, as well as the electromagnetic torque, was determined. For a synchronous jet motor with permanent magnets, the following are determined: the number of harmonics is 7, the degree of the polynomial is 3 with a maximum deviation of 2.62 % for a non-sectioned rotor and 2.79 for a sectioned one.