Collaborative Optimization Of Track Vertical Alignment And Electrical Resolver Position Of High-speed Railway

In recent years,China's high-speed railway has developed rapidly,and the country invests a lot of money to build high-speed railway every year.As the vertical alignment of high-speed railway directly affects the project cost and later operation and user cost,how to control the project investment and reduce the operation cost(such as train operation energy consumption)and user cost(such as passenger travel time)under the premise of ensuring safety has always been the key to the design of the new high-speed railway line.In addition,as one of the necessary equipment of high-speed railway,the position of electrical resolver will affect the later operation cost and user cost,and has an interactive relationship with the design of vertical alignment.For example,the electrical resolver setting in the large uphill may cause the train to stop.For this reason,it is necessary to comprehensively consider the optimization of vertical alignment and electrical resolvers in order to save the cost on the basis of ensuring that the train running safely.In this paper,the problem of collaborative optimization of the vertical alignment and the electrical resolvers under the condition that the high-speed railway horizontal line and the station position have been determined.First of all,this paper analyzes the impact of electrical resolvers and vertical alignment on various costs,and calculates the effect of setting the electrical resolvers on different vertical alignment on energy consumption and run-time by simulation,then summarizes the general design laws of the design of the electrical resolver and the vertical alignment.On this basis,for the determined and uncertain vertical alignment,the electrical resolver position optimization model and the electrical resolver and vertical alignment collaborative optimization model are established respectively.For the above model,the heuristic algorithms are designed to solve.The main content of the paper includes:(1)Analyze the impact of electrical resolvers and vertical alignment on various costs,and based on the simulation results,the general laws of electrical resolver position and vertical alignment design are summarized.The results show that: in order to reduce the train's two-way run-time and energy consumption,the electrical resolver should be set on the ramp within 5‰ in the middle of the section(the train is generally in the cruising stage).If the electrical resolver cannot be set on the gentle slope of the cruising stage in order to meet the constraints such as the electrical resolver interval,it should be set on a relatively gentle ramp at the high speed stage as much as possible,which is conducive to saving run-time and energy consumption.(2)Based on the determined vertical alignment,Considering the constraints on train operation,signal distance as well as the number and interval requirements of electrical resolvers,this paper establishes an optimization model to optimize the position of electrical resolver of the whole line,so as to minimize the cost of train energy consumption and user time.For this model,genetic algorithm and particle swarm optimization algorithm are designed to solve it respectively.The case study of an actual high-speed railway line shows that the proposed model saves 3.00% of train inter-station run-time and 1.50% of train energy consumption compared with the real-world layout scheme of electrical resolver;and genetic algorithm is more efficient than particle swarm optimization.(3)Considering the design specifications of high-speed railway and the constraints related to electrical resolver,a collaborative optimization model for vertical alignment and electrical resolver position is established to reduce construction cost,operating energy cost and user time cost.For the above model,an improved algorithm combining genetic algorithm and particle swarm optimization is designed to solve.The case study of an actual high-speed railway line shows that compared with the actual design scheme of the vertical alignment and electrical resolver,the scheme obtained by this model can save 4.47% of the total cost;compared with the scheme of phased optimizing the vertical alignment and electrical resolver position,the total cost optimization range of the scheme obtained by collaborative optimization model can be increased by 1.30%.