In response to the multiple power quality issues present in low-voltage distribution networks with distributed photovoltaic integration, a comprehensive control strategy is proposed for a four-bridge-arm energy storage Distribution Static Synchronous Compensator (DSTATCOM) that integrates harmonic detection and active/reactive power output. Firstly, a harmonic and reactive current detection algorithm is presented to accurately detect fundamental positive-sequence active and reactive currents, directly applicable to three-phase four-wire systems. Secondly, based on a double-second-order generalized integrator phase-locked loop, the proposed control strategy accurately extracts the fundamental positive-sequence component of unbalanced voltage to independently compensate for fundamental positive-sequence active power, optimizing voltage support with high control precision. Lastly, simulation results using Matlab/Simulink demonstrate the effectiveness of the proposed comprehensive power quality compensation strategy with energy storage DSTATCOM in addressing power quality issues in low-voltage distribution networks.