High penetration of residential rooftop solar photo-voltaic (PV) units can cause both slow and fast voltage fluctuations in the connected low voltage (LV) distribution feeder due to random variations in solar PV power output, in addition to the variations in load demand. In this paper, a novel control strategy is proposed to simultaneously mitigate associated slow and fast voltage fluctuations in connected LV distribution feeder using distributed energy storage; which has not been addressed in the literature. Integrated battery energy storage systems in solar PV units will be dynamically charged to mitigate the voltage rise during mid-day and discharged during the evening peak hours, simultaneously controlling the ramp rate of the PV inverter to a defined ramp rate. The proposed control strategy has been validated using a practical distribution feeder system in NSW, Australia and results are reported. The test simulation case studies are carried out using MATLAB simulations.