An integrated power conversion system is proposed for electric vehicles (EVs), which consists of a dual active bridge (DAB) DC-DC converter cascaded by a Three Phase Four Leg (TPFL) DC-AC converter. The integrated power conversion system can realize both vehicle to grid (V2G) operation and traction operation for EVs. The large capacitor is avoided in DC link of the proposed power conversion system. Instead, an active snubber with a small film capacitor is connected to the DC link to suppress the voltage oscillation, which is induced by removal of the large DC-link capacitor. By designing the phase shifting control for the primary H-bridge of DAB, a high frequency pulsating DC-link voltage with zero portions is generated. Setting switching actions of the secondary H-bridge of DAB and TPFL during zero portions of DC-link, the Zero Voltage Switching (ZVS) operation is achieved and the system efficiency can be improved consequently. Therefore, the fixed switch moment control strategies, namely the Finite Set Model Predictive Control (FS-MPC) and Switch Table Direct Torque Control (ST-DTC), are proposed to regulate TPFL for V2G operation mode and traction operation mode, respectively. Detailed analysis of different switch states within one half operating cycle is presented. Both simulation and experiment are conducted to verify the effectiveness of the proposed system and control schemes.