Mathematical Model for Studying a Linear Synchronous Motor

In the presented article, synchronous electric motors of reciprocating motion of a linear structure and a typical rotational motion are considered. As a rule, such electric motors are two-phase, one winding is supplied with constant voltage, and the other with alternating voltage. To study transient processes in linear synchronous motors (SM), the equations of Park-Gorev SD of rotary action were taken as a basis, but they were transformed taking into account the necessary additions. As a result of the work, a mathematical model of linear SD is shown, which allows one to study the reciprocating motion of linear SD. With the help of the developed mathematical model, the study of the asynchronous start of the linear SD in the coordinates α-β and d-q was carried out. As a result of comparing the results in different coordinates, an acceptable accuracy of the calculated data was obtained.