The popularization and application of distributed renewable energy,the demand of energy saving and emission reduction,and the change of user terminal load characteristics have brought great changes to the traditional AC power supply,DC power supply is widely concerned because of its powerful energy-saving advantage. As DC/DC converter is a key part of DC power supply system,the stability of the converter is required. At present,small signal modeling is widely used in converters,and the modeling accuracy is not high,and the system may become unstable in the face of large disturbance. Based on the switching system theory,a switching control method of energy storage staggered parallel bi-directional DC/DC converter is proposed in this paper,and the large signal modeling of the system is directly carried out,and the modeling accuracy is high. Firstly,the energy storage function of the system is selected as the common Lyapunov function and the optimal switching rate is designed. Then,the stability of the system at the switching equilibrium point under the switching rate is analyzed. Finally,the simulation is carried out in Matlab and a bidirectional DC/DC converter prototype based on SiC MOSFET is built for verification. Experiments verify the effectiveness of this switching control strategy.