A Numerical Method for Optimal Operating Problem of a Train Considering DC Power Feeding System

An algorithm optimizing total energy consumption of a train operation considering DC feeding system is investigated in this paper. Our mathematical formulation consists of kinetic equation of a train and circuit equation of DC feeding system, and includes several characteristics of a train which depend on catenary voltage. It makes us possible to give more detailed consideration to energy-saving operation than that of previous works. Especially, it is remarkable aspect that several discussion about the effect of squeezing control of regenerating current and feeding loss have been possible with our proposed method. The optimizing algorithm is constructed based on the gradient method, which could be useful for the large-scale problem of future works with its light computer load and extensibility. Several numerical examples are demonstrated to verify the reliability and validity of the proposed method.