Aiming at the problem of insufficient operation capability of virtual synchronous generator (VSG) when an asymmetric drop fault occurs in the power grid, and the output current distortion and power fluctuation of grid-connected inverter, propose a VSG power and current coordinated control strategy based on fast delay signal cancellation (FDSC) filtering theory, without the need for phase-locked loops and asymmetric voltage positive and negative sequence calculation. First, the intrinsic relationship between the reference current and the two control objectives of VSG power constant and current balance is analyzed. Secondly, the reference current of the instantaneous power is calculated through the VSG virtual power. Then FDSC is used to extract the harmonic in the reference current and introduce adjustment. The coefficient controls its content to achieve coordinated control of constant output power and output current balance. Finally, the effectiveness of the proposed control strategy is verified through simulation.