Aiming at the non-contact charging and discharging system of electric vehicle, a new structure with 3×1 matrix converter as the pre-stage main circuit and LCCL-LCCL as the resonant circuit is proposed, and the space vector modulation strategy is optimized. In this paper, the topology and modulation method of 3×1 matrix converter are analyzed firstly. Then the characteristics of LCCL-LCCL resonant compensation structure are studied. The conclusion that the voltage and phase differences between the two ends of the resonant circuit can change the amount and direction of the power flow is derived, accordingly achieving the bidirectional flow of energy, that is, the charging and discharging control of the electric vehicles. The feasibility and correctness of the theory are verified by experiment.