|
In the planning of railway system, the train speed is designed according to the operation curve. In the past, the operation curve was drawn manually following Newton’s equations. With the help of computers, manpower is replaced by the computer in simulating the train motions. Whether artifical simulation or computer simulation, the curve using simulation is practicable with different proposes.However, it is not certain that the curve obtained by artifical or computer simulation is optimal. When the train is operated with the operation curve drawn by simulation, the performance of the train is not always optimal.
When the train is operated, the force acted on the train will result in acceleration. We can constraint the final speed of the train according to these forces. Therefore, divide the total distance equally to some sections, we can take the speed between any two connected sections as the decision variable. Taking the characteristic of objection function and decision variables into consider, one can optimize the operation curve with the minimum-time.
For the confortability of the passengers, we minimize acceleration in the same time. Using the change of acceleration in the total section, we can optimize the operation curve for the purpose of minimum-acceleration.
Finally, we optimize the operation curve with the minimum-energy exhausted between stops. When the train is operated, the energy consumed is related with the initial speed, final speed and operated distance.Therefore, take the train operated practically into account, we optimum the operation curve with the minimum-energy consumed for two types of operations.
In the research, we discuss the train powered by the locomotive of E200 in Taiwan Railway Administration to improve the method of optimising the operation curve with different purposes .
|