In order to improve the utilization rate of the energy storage system as well as the power quality of micro-grid and grid under parallel operations, this paper proposed an integrated compensation strategy of power quality based on the composite controlling principle of frequency division and hysteresis loops. On the premise of not changing the operation state of the power conversion system (PCS), combined with the current generation principle of multi-objective compensation, use the residual capacity of PCS to compensate harmonic, reactive and unbalanced currents quickly, accurately and selectively, so as to realize the current control on the compensation component of the grid-connected current under the disturbance of the distorted voltage. At the same time, aiming at the dwarf-signal dynamic models of the converter, use the designed output current control loop based on H ∞ resonance control theories to provide the tuning basis of the controller parameters, and thus the anti-disturbance ability of the system is improved, and the sudden change of the frequency is reduced. Finally, construct a micro-grid system with energy storage devices, and carry out experiments on the proposed control strategies. The results show that it has well governance abilities on the power quality.