Abstract
Speed profile optimization plays an important role in optimal train control. Considering the characteristics of an electrical locomotive with regenerative braking, this paper proposes a new algorithm for target speed profile approximation. This paper makes the following three contributions: First, it proves that under a certain calculation precision, there is an optimal coast-brake switching region—not just a point where the train should be switched from coasting mode to braking mode. This is very useful in engineering applications. Second, the paper analyzes the influence of regenerative braking on the optimal coast-brake switching region and proposes an approximate linear relationship between the optimal switching region and the regeneration efficiency. Third, the paper presents an average speed equivalent algorithm for local speed profile optimization in steep sections. In addition, this paper simplifies the proof of the optimality of smooth running on a non-steep track in two steps. The effects on energy consumption from two important factors (optimal coast and running time) are systematically analyzed. Extensive simulations verify these points of view and demonstrate that the proposed approximation approach is computationally efficient and achieves sufficient engineering accuracy.
Highlights
As one of the most important means of transportation, the railway plays a significant role in the development of society
There must be a strategy among them with minimal energy consumption, which can be determined by accumulating the energy consumption of every time step of every strategy determined by accumulating the energy consumption of every time step of every strategy according to according to Appendix A
According to the characteristics of an electrical locomotive with regenerative braking, this paper proposes a new algorithm for train speed profile optimization
Summary
As one of the most important means of transportation, the railway plays a significant role in the development of society. Rising energy prices and environmental concerns have placed great social, economic, and environmental value on the study of railway energy savings. Because traction systems represent more than half of the energy consumption, the problem of energy-efficient train operation has aroused significant interest. To obtain a satisfactory target speed profile for an automatic train operation system (ATO), based on existing results in train optimal control research, this paper discusses an optimal switching region-based approach with adaptive resolution
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