Mathematical modeling of Electrical Controlled Pneumatic Brake

Inconsistent brake forces will aggravate impacts of collision between adjacent freight cars with different car types and load weights, especially in rigid connection mode which is widely used in Chinese freight lines. As it's designed with complex components and various operation modes the pneumatic brake system is a highly nonlinear one, it is hard to model and analyze its instantaneous state. In this paper, a mathematic model of the pneumatic brake is proposed. According to real-time operation mode of ECP system and brake stage of freight train, tracking object is dynamically adjusted to fit complex railway conditions. Finally, simulation results verify the astringency of this proposed algorithm, and shows collisions of ECP brake are decreased and real-time performance is improved.