Interaction simulation methodology of pantograph - contact wire

Abstract

The modern types of models for calculating the dynamic interaction of a contact wire and current collectors can be divided into analytical and imitation [1]. Analytic models are referred to models with lumped and distributed parameters. The former do not satisfy the increased need for the accuracy of the calculation of the dynamic interaction of the pair, the-receiver-contact wire. The sphere of their use can only be separated by engineering calculations. Second, the models taking into account the distributed parameters, allowing to obtain on the output a whole set of information about the current collection process such as: contact pressing, points and time of tearing off the susceptor, the amplitude of the oscillations, the coordinates of the point of contact pantograph - the contact wire. The disadvantage of these models is the high order of the resulting system of equations.

The technique developed in this work allows taking into account excitations of the system at different points simultaneously, which requires the determination of the modal damping coefficient, which is a function of frequency. Using the excitatory force as a basis, the corresponding differential equation is solved for all natural frequencies, and the results for individual frequencies are superimposed to obtain the overall response of the contact wire system.

To determine the trajectory of motion of points, a differential equation of motion is developed that applies time-independent matrix systems, and does not require a large amount of computation to model the force of pressing. Thus, it is only necessary to perform calculations once for the given configuration of the contact wire