Abstract
For train simulations, there is a well-known train movement model. By using the model, the precise running status of a train at the designated values for the velocity, position, and time, must be obtained to analyze the train movement in detail. However, conventional simulation methods cannot calculate the precise status at the designated value, because they only calculate the running status discretely at fixed interval. To resolve this problem, we propose a simulation method that has two features. First, the method utilizes integral formulas. An expression of velocity is formulated that directly gives the precise running status at the designated velocity. With the expression, we can also formulate expressions for position and time. Second, since the designated values for the three variables are given at one time, we build a framework that contains
the above three expressions and performs the calculations in the appropriate order to get the running status corresponding to a designated value firstly fulfilled. The proposed simulation method calculates the required running status without considering errors introduced by the method itself. It also uses a smaller number of calculations than conventional methods. The proposed simulation has various uses from planning to control of railways to which the conventional method has been applied.
