Collaborative and multilevel optimizations of a hybrid railway power substation

Three approaches are proposed for the design of a hybrid railway power substation taking into account the control of the storage system over 1 year. The first one is based on a piecewise linearization of the cost function and solved with linear programming. The others decompose the whole problem in 2 levels with lower dimensionality. Collaborative optimization solves it with a double-loop scheme while Benders decomposition allows a sequential resolution. This last gives the same solution as linear programming in about 5 times more computing time and can be used with a nonlinear cost function.