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A COOPERATIVE TRAIN CONTROL MODEL
FOR ENERGY SAVING
ABSTRACT
Increasing attention is being paid to energy efficiency in subway systems to reduce
operational cost and carbon emissions. Optimization of the driving strategy and efficient
utilization of regenerative energy are two effective methods to reduce the energy consumption
for electric subway systems. Based on a commonscenario that an accelerating train can reuse the
regenerative energy from a braking train on the opposite track, this paper proposes a cooperative
train control model to minimize the practical energy consumption, i.e., the difference between
traction energy and the reused regenerative energy. First, we design a numerical algorithm to
calculate the optimal driving strategy with the giventrip time, in which the variable traction
force, braking force, speed limits, and gradients are considered. Then, a cooperative train control
model is formulated to adjust the departure time of the accelerating train for reducing the
practical energy consumption during the trip by efficiently using the regenerative energy of the
braking train. Furthermore, a bisection method is presented to solve the optimal departure time
for an accelerating train. Finally, the optimal driving strategy is obtained for the accelerating
train with the optimal departure time. Case studies based on the Yizhuang Line, Beijing Subway,
China, are presented to illustrate the effectiveness of the proposed approach on energy saving.

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A cooperative train control model for energy saving

  • 1. A COOPERATIVE TRAIN CONTROL MODEL FOR ENERGY SAVING ABSTRACT Increasing attention is being paid to energy efficiency in subway systems to reduce operational cost and carbon emissions. Optimization of the driving strategy and efficient utilization of regenerative energy are two effective methods to reduce the energy consumption for electric subway systems. Based on a commonscenario that an accelerating train can reuse the regenerative energy from a braking train on the opposite track, this paper proposes a cooperative train control model to minimize the practical energy consumption, i.e., the difference between traction energy and the reused regenerative energy. First, we design a numerical algorithm to calculate the optimal driving strategy with the giventrip time, in which the variable traction force, braking force, speed limits, and gradients are considered. Then, a cooperative train control model is formulated to adjust the departure time of the accelerating train for reducing the practical energy consumption during the trip by efficiently using the regenerative energy of the braking train. Furthermore, a bisection method is presented to solve the optimal departure time for an accelerating train. Finally, the optimal driving strategy is obtained for the accelerating train with the optimal departure time. Case studies based on the Yizhuang Line, Beijing Subway, China, are presented to illustrate the effectiveness of the proposed approach on energy saving.