Mathematical modeling of the closed loop system of the electric drive on the basis of the switched reluctance motor with finite element method

Предложена математическая модель замкнутой системы электропривода (ЭП) на базе вентильного реактивного двигателя (ВРД). В результате объединения полевой модели ВРД и цепной модели системы управления получена цепе-полевая модель ЭП на основе метода конечных элементов. Модель учитывает конструктивные особенности двигателя и позволяет исследовать ЭП в динамических режимах работы. На основе предложенной модели получены электромагнитные и электромеханические параметры серийного ВРД SRM-57-100-4 в режиме пуска.The distribution of switched reluctance motors (SRM) is due to their specific properties: high reliability due to the absence of sliding contacts, precise positioning, wide range of regulation. These properties allow the use of SRM in various adjustable electric drives in conjunction with semiconductor control systems. The complexity of the study of such systems is a correct representation of both the control system itself and the motor, taking into account their mutual influence and energy exchange. In addition, as a rule, SRM have a rather specific design, which limits the use of classical design methods for their calculation and causes the use of numerical methods. The paper presents a mathematical model of a closed electric system on the rotor position and speed based on the switched reluctance motor. As a result of the unification of the SRM field model constructed on the basis of the Laplace and Poisson equations and the circuit model of the control system, a circuit-field ED model is obtained on the basis of the finite element method. The model takes into account the design features of the motor and allows you to explore the ED in dynamic modes of operation. An algorithm for switching power inverter keys for four phases of the SRM is developed. From the obtained values of magnetic induction, tension tensors and the electromagnetic moment of the motor are calculated. Electromagnetic and electromechanical parameters of the serial SRM SRM-57-100-4 in the start-up mode are obtained for the proposed model