Abstract: The variable frequency controlled zero-voltage- switching (VF-ZVS) can achieve zero-voltage-switching (ZVS) without auxiliary circuit, and can further improve the efficiency and power density of SiC MOSFET inverter. But in three-phase Active-neural-point-converter (ANPC), the current ripple will be dramatically increased if all the power switches achieve the ZVS, which changes the path of current, and influences the loss distribution characteristics. In this paper, the piecewise mathematical expression of the current ripple about the vector function of time is established, and the loss modeling method of SiC MOSFET including the current ripple is proposed. The influence law of the current ripple on the MOSFET's loss characteristics under the control of VF-ZVS is characterized. Furthermore, the newly added commutation processes of 2SiC, 4SiC I and 4SiC II inverter are analyzed under VF-ZVS control. The proposed loss model is used to evaluate the switch loss, conduction loss and loss distribution equalization of the three hybrid topologies under different degree of modulation and power levels. The correctness of the SiC MOSFETS's loss model and the loss evaluation results of the three hybrid topologies can be verified experimentally with the 6kW SiC experimental platform under different power levels.