Development of mathematical models for monitoring and control of train derailment

Abstract

This article presents, for the first time, mathematical models—based on automata theory—of a method
for comprehensive monitoring and control of train clearances using non-contact infrared sensors. The
proposed approach enables detection of displacements of individual components of wagons and the loads
within them beyond established limits, which allows for early identification and prevention of derailment
on railway sections. A remote rapid diagnostic method has been developed for determining the
correspondence of a lower out-of-gauge condition to a specific wagon in the train, based on data from an
electronic axle-counting system, enabling maintenance personnel to promptly assess the abnormal
condition. The states and transition conditions of the derailment monitoring system are modeled using
Petri nets.