Abstract
With the rapid development of urban rail transit systems and the consequent sharp increase of energy consumption, the energy-saving train operation problem has been attracting much attention. Extensive studies have been devoted to optimal control of a single metro train in an inter-station run to minimize the energy consumption. However, most of the existing work focuses on offline optimization of the energy-saving driving strategy, which still needs to be tracked in real train operation. In order to attain better performance in the presence of disturbances, this paper studies the online optimization problem of the energy-saving driving strategy for a single metro train, by employing the model predictive control (MPC) approach. Firstly, a switched-mode dynamical system model is introduced to describe the dynamics of a metro train. Based on this model, an MPC-based online optimization problem is formulated for obtaining the optimal mode switching times with minimal energy consumption for a single train in an inter-station run. Then we propose an algorithm to solve the constrained optimization problem at each time step by utilizing the exterior point penalty function method. The proposed online optimal train control algorithm which determines the mode switching times can not only improve the computational efficiency but also enhances the robustness to disturbances in real scenarios. Finally, the effectiveness and advantages of this online optimal train control algorithm are illustrated through case studies of a single train in an inter-station run.
Highlights
Combined with the online optimization algorithm given in reference [27], we proposed an online algorithm based on the penalty function method
This paper has studied the online energy-saving driving strategy for a single metro train
A switched-mode dynamical system model has been established with the consideration of regenerative braking energy, which can accurately describe the metro train operation mode and punctuality constraint
Summary
Urban rail transit, which can effectively alleviate traffic pressure in large modern cities, is widely recognized as an attractive mode of transportation due to its features of large capacity, high speed, safety, punctuality and energy-efficiency [1]. Many large cities in the world are committed to developing and expanding their metro train projects. As of 2016, the global light rail market value is estimated to be $180.78 billion, which is expected to increase 2.3% by 2020. With the expansion of the metro line scale and the quick growth of passenger traffic demand, the total energy consumption of train operations is increasing rapidly. Energy-efficient train operation for urban rail transit, which needs to reduce the energy consumption while ensuring safety and punctuality, is becoming an Energies 2020, 13, 4933; doi:10.3390/en13184933 www.mdpi.com/journal/energies
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