As the main carrier of rail transit,the effectiveness of braking is directly related to the safety performance of trains.The exertion of braking force in each compartment is often constrained by adhesive force,which affects the coordinated distribution of electric / pneumatic power between various carriages.The exertion of braking force in each compartment is often constrained by adhesive force,which affects the coordinated distribution of electric / pneumatic power between various carriages.On the other hand,the difference of braking force of each compartment causes the difference of their state of motion.The speed and displacement of each compartment should be kept consistent during braking.However,the high speed,complex and changeable operating environment and the uncertainty of the adhesion state between the wheel and rail of the EMU,and the nonlinear characteristics of the adhesive force between the wheels and the rail make it difficult to obtain.Each compartment is coupled to each other,and the two adjacent cars always keep safe distance during braking.The existing method is difficult to achieve the desired control effect.Therefore,through the analysis of the existing braking force distribution and control methods,the coordinated allocation method of electric / air power of EMU is studied.The main contents of this paper are as follows:Aiming at the problem of sliding caused by braking force greater than the maximum adhesive force constraint,the optimal braking control method with maximum adhesion constraint is put forward.Based on the analysis of the braking system of EMU,the maximum adhesion force of each carriage is obtained.Then,by designing the electric brake priority control allocation method,the total braking force of motor cars and trailers should be applied respectively.Finally,according to the maximum adhesion force,the total braking force of the motor car and the trailer is redistributed,and the braking force that each compartment should exert is obtained.The simulation results show that during the braking process,each compartment has better braking effect.In order to solve the problem of wheel sliding and accelerating rail wear due to the axle load transfer in the braking process of EMU,a dynamic distribution method of braking force considering the axle load transfer is proposed.By establishing a single compartment force model,the adhesive force of each compartment under the current rail surface is calculated.Under the priority control strategy of electric brake,the braking force of the train is constrained by adhesion force,and the total braking force of the motor car and trailer shall be exerted respectively.The carriages are redistributed according to the positive proportion of adhesion force.The reliability of the method is verified by simulation.To solve the problem of extrusion and collision of the workshops caused by the different moving states of each car in the braking process of the EMU,a distributed cooperative braking control method based on the consistency theory is proposed.First,the distributed cooperative controller is analyzed and designed for the control system to ensure that the train displacement and speed are synchronized and consistent and tend to be stable.Then,according to Lyapunov stability criterion,we prove the stability of the system.The simulation results show that the proposed method is effective and stable,and the design objectives of each compartment can be achieved within the braking interval. |