Mathematical Model of the Linear Motor

Abstract

The creation of the idealized mathematic model of the linear motor is presented. It denoted the law of the change of the motor coil induction dependant on the motion along the x coordinate, which has a rather accurate approximated analytic engineering expression. The formula of the change of the induction is obtained having in mind that the motor magnetic system is not saturated and there are no any magnetic connections between the coils. There was obtained the analytic expression of each coil traction force that is summarized into the general traction force of the motor. These expressions could be used to form the law of the change of the summary traction force and are the main reason for the further research work. Applying the theory of the change of the electromagnetic energy the idealized dynamic mathematic model of the linear motor which realizes the impulse operation was created. For the impulse operation of the motor stimulating coils unipolar rectangular voltage impulse is used. For the operation impulses could be changed in width, amplitude and frequency. The characteristics of the impulse converter (active resistance, induction) are evaluated while changing the active resistance and induction of the coils. The mathematic model evaluates the static loading of the motor dependant on the x coordinate that is why it could be used for the research work of the transmission with the linear motors. Ill.3, bibl. 12 (in English; summaries in English, Russian and Lithuanian).