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Energy-saving methods for electric railways by modifying driving methods have been proposed for carbon neutrality.In a direct current electric railway network, regenerative energy from a braking train needs to be consumed by another powering train to avoid wasting kinetic energy.The aim of this paper is to propose a dynamic programming method with parallel computing that solves large-scale optimisation problems for the speed profiles of two trains considering regenerative energy.The numerical evaluation results show that simultaneous optimisation can reduce total energy consumption by using regenerative energy.They suggest that it is effective to optimise the train receiving regenerative energy.The advantage of dynamic programming is that its solution follows causality even when a train operation is disturbed.
Sakai et al. (Tue,) studied this question.