Abstract: To solve the resonance problem of multiple parallel grid-connected inverters with LLCL filter in weak grid,a hybrid damping control strategy is proposed in this paper. Based on the mathematical model of multiple grid-connected inverters with LLCL filter,the mechanism of multi-inverter parallel resonance is analyzed. And the conclusion can be conducted that the key factors of resonance are the change of grid impedance and LLCL filter parameters,which will affect the stability of the system grid-connected operation.Therefore,on the premise of not changing the topology of LLCL-filter-based grid-connected inverter,the proposed control strategy is applied to the multi-inverter paralleled weak grid system. Simulation and experimental results show that the proposed control strategy can effectively suppress the system resonance,reduce the harmonic content of the grid-connected current and voltage,and improve the stability of multi-inverter parallel operation under weak grid conditions.