Abstract: When bidirectional power flow occurs in DC/AC grid-connected converter system, if the control between converters is not switched, there is a significant stability difference between forward and reverse power flow, that is, there is the bidirectional power stability difference, which will make the system prone to oscillation and even instability. In this paper, firstly, the influences of power flow and level on the stability of grid-connected system using traditional power control and current control are investigated, respectively. Researches show that the converter input impedance under power control has a characteristic of negativ impedance, and will decrease the stability of grid-connected system or even cause the system instable under reverse power flow. The system is lack of damping with current control under bidirectional power flow, due to the capacitive impedance. To solve these problems, a power compensation control, without switching when power direction changes, is proposed. After compensation, the impedance is positive resistive impedance and the damping is increased. Researches show that, the system stability and power transmission capacity are increased after using compensation control, in combination with dynamic performance. Finally, the effectiveness of the proposed control strategy and analysis was verified by Matlab/Simulink simulations and experiments.