Abstract: A novel current direct feed-forward damping control strategy and the optimization on damping parameter based on dual limitations are proposed to suppress the high frequency resonance of the grid-connected system with multiple PV inverters under weak grid. Firstly,based on impedance criterion,the mathematical model of the grid-connected system with multiple PV inverters is built to predict the potential high frequency resonance. Then,the control loop of the current direct feed-forward damping with equivalent physical connection is obtained by forward moving of the inverter series with resistance. By analyzing the global harmonic suppression effect of the system and the self-stability of the inverter with different damping parameters,the value of the damping parameter is evaluated based on dual limitations of global stability and self-stability. Moreover,the control ability of proposed method with different electrical parameters under various operating status is analyzed. Finally,simulations and experiments of the grid-connected system with multiple PV inverters are built to verify the effectiveness of the front analysis.