This paper mainly introduces the working principle and control mode of FSBB converter, explains the advantages of using quadrilateral current control method with PWM plus phase-shift control. Compared with previous work, there is still no theoretical basis for the Analog control loop analyses. So, the averaged small signal model of FSBB converter is derived to provide the theoretical basis for designing loop in this paper. The process of modeling the FSBB converter and the simulation results will be described in detail in the final submission of a full paper.