Optimal trajectory planning for standard and hybrid railway vehicles with a hydro-mechanic transmission

This paper presents numerical results for the optimization of trajectories for standard diesel and hybrid railway vehicles with respect to the fuel consumption between two successive stops. First, a nonlinear model of the complete power train of a standard railway vehicle, purely driven by an internal combustion engine, is described. Based on the four different operating regimes - acceleration, cruising, coasting, and braking - fuel-optimal trajectories are computed by determining the optimal regime sequence. For this purpose, the golden ratio search method is used. Second, the presented approach is extended towards a trajectory optimization for parallel hybrid railway vehicles.