Electric trains typically travel across the railway networks in an inter-provincial

inter-city and intra-city manner. The electric train generally serves as a load/source in tractive/brake mode

through which power networks and railway networks are closely coupled and mutually influenced. Based on the operational mode of rail trains and the characteristics of their load power

this paper proposes a coordinated optimal decisionmaking method of demand response for controllable load of rail trains and energy storage systems. First

a coordinated approach of dynamically adjusting the load of the controllable rail train in considering the driving comfort and energy storage battery is designed. Secondly

under the time conditions that satisfy the train's operational diagram

the functional relationship between the train speed and the load power is presented. Based on this

in considering the constraints of the train's arrival time

driving speed

motor power

and driving comfort

the capacity of energy storage batteries and other constraints

an optimization model for demand response in managing the traction power supply system under a two-part price and time-of-use (TOU) price is proposed. The objective is to minimize the energy consumption costs of rail transit trains

and optimize the speed trajectory of rail trains

the load power of traction system

and the output of energy storage batteries.