In view of the frequent arcing phenomenon of the front and back pantograph in the operation of the reconnected EMUs（electric multiple units）

a mathematical model of the double pantograph-catenary Habedank arc considering the double pantographs interval is constructed. First

the reconnected EMUs of Beijing-Tianjin electrified railway is taken as an example

the dynamic model of double pantograph-catenary coupling system is set up. Secondly

the functional relationship between the double pantographs interval and the maximum offline interval of the pantograph-catenary is determined by taking the zero contact pressure as the off-line boundary condition in the simulation results of dynamic model

and then Habedank arc mathematical model of the double pantograph-catenary is set up. Finally

the simulation analysis is carried out in MATLAB/Simulink software. The results show that with the increase of double pantographs interval

the peak voltage and current of arcing and extinction are all not increased in the back pantograph arcing but in the front pantograph arcing. In addition

under the same pantographs intervals

compared with the pantograph arcing

the arc voltage and current of back pantograph arcing

compared with the front pantograph arcing

are larger and easy to occur. The setup of the model can provide theoretical support and engineering reference for the double pantograph-catenary arcing model of the actual EMU in terms of dynamics and probability statistics.