A Jerk Model With Friction for the Speed Produced by an Induction Motor Drive System

In recent years progress has been made in modeling the direction generated by rapid movements using the Dynamics generated by higher order Lagrangians. This paper is concerned with the Dynamics generated by the induction motor drive of an electric locomotive. Thereby, the Dynamic model of a third order Euclidian Lagrangian subjected to an ideal friction makes possible the obtaining of an approximation for the speed of the locomotive used in the railway electric system for the transport of passengers or shunting. The mounting of electrical equipment of suitable characteristics in a chassis, or in a vehicle adequate for running on rails at given speeds and for transmitting the traction force to the train, is at first sight a straightforward matter. But the apparent simplicity is deceptive. This is proved by the large number of different designs, of which many leave a good deal to be desired in riding qualities. This work aims to determine the correct velocity profile for a given locomotive, starting from experimental determinations, in order to further improve the control of the electric drive system.