Research On Modeling And Simulations Of Train Tracking Operation And Saving Energy Optimization

This paper studies train tracking models and saving energy operation optimization methods in railway traffic. First, Cellular Automaton theory is used to get demonstration and the applicability of the proposed model is validated by simulating tracking operations of trains in Beijing subway line 2. And the dynamic characteristics of trains flow in speed limit section of main-line railway are analyzed. Then this paper researches train saving energy operation optimization methods in non-ideal condition based on the method of single train operation in perfect condition, proposes non-linear optimization models, designs feasible solution algorithms and validates the effect of the algorithms by numerical experiments.The main works in this paper are as follows:1. The study of train tracking models is always important part in train operation control system. According to the characteristics of subway trains tracking, the paper proposes a cellular model of fixed block system to simulate tracking operations of trains in Beijing subway line 2. By means of speed-time-position graphs, the paper investigates some important characteristics of subway train flow and analyzes the relationships of speed, time and position. The dynamic characteristics of trains running is well demonstrated in simulation results. The comparison between simulation and real-life data shows that the proposed model is an effective tool to describe the characteristics of subway trains tracking.2. The paper proposes a cellular automaton model to simulate the traffic flow of speed limit section in four-aspect fixed-block system. The characteristics of trains flow are investigated and the impacts of the length of speed limit section, train time interval and the speed limit value are analyzed by simulating train running. The simulation results shows that a smaller length of speed limit section, a moderate increase of train time interval and a bigger speed limit value can all improve the green light runtime of the trains.3. While two rail track intersect at a station, the trains passing the station are disturbed each other. The action will influence the running and operation of the trains. The paper investigates train saving energy operation in interference condition, and proposes an optimization model which subjects to time constrains. The penalty function method is use to transform the constrain optimization model into non-constrain optimization model. Then, Genetic Algorithm and tables of control modes are applied to solve the model.4. Under Fixed Block System, the position and speed of leading train and tracking train with the signal change between the two trains describe the total train running process. Through considering the impact of the signal change on tracking train running, the paper proposes a saving energy operation optimization model on tracking train, brings forward an algorithm idea on that the distance between the leading train and the following train tends to the minimum headway distance in order to reduce the gap between the real run time and the expectant run time of tracking train. Based on the results of single train operation optimization, heuristic algorithm is given to determine the control modes of the tracking train.5. Under Moving Block System, the minimum headway distance between trains is the key to insure tracking train running safe. Through considering the impact of leading train rear position on tracking train running and the characteristic of that tracking train can get the information of leading train synchronously, the paper proposes an optimization method of tracking train saving energy operation. Based on the idea which the headway distance holds nearly minimum safe distance, a heuristic algorithm is given to determine the control modes of the tracking train.