Mathematical model and algorithm for determining the optimal parameters of sensors control the approach of a train to a crossing in normal and control modes
Abstract
Ensuring the safety of train traffic is associated with the implementation of three main operating modes of the track circuit - normal, shunt and control. At a rail line breaks, the electrical circuit between the power source and the receiver is maintained, since paths are created for the signal current to flow along the ground, bypassing the break point. In this case, the current value substantially depends on the rail break point and the insulation resistance of the rail line [1-4]. In article investigates a method for determining the criterion of the rail circuit’s sensitivity to the broken thread, which quantitatively evaluates the effect of reducing the current in the receiver during the control mode. The criteria are used in deterministic calculations of track circuits [5-6]. These calculations take into consideration the most unfavorable combinations of the parameters of the elements and the rail line in each from calculated modes. According to the developed mathematical expressions, an algorithm was drawn up and a program was written, for determine the coefficient of normal and control modes of operation under the most unfavorable conditions. The graphs of the sensitivity of the rail circuits on the insulation resistance have been compiled. Conclusions are drawn.