Power quality is a critical issue in Low Voltage DC (LVDC) networks, especially when powering LED lighting systems and other DC loads in residential settings. Power factor correction is one of the factors for high-quality power maintenance in these systems. In this paper, the performance of PFC in a three-phase LVDC grid under various source voltage scenarios is presented. The system consists of three individual single-phase modular converter circuits, each being equipped with PFC controllers. Each module is configured with a diode rectifier, followed by a SEPIC converter. An external controller configured with proportional-integral (PI) control is used to maintain the voltage at output to a constant value of 24V. Three separate hysteresis controllers have been employed to shape the input current waveform in each phase, ensuring higher sinusoidal quality. The reference current template is generated using the Power Quality (PQ) theory based on the equal impedance criterion, ensuring that the current waveforms are in phase with their corresponding phase voltages. The efficacy of the proposed control strategy is confirmed with simulation outputs generated with MATLAB/Simulink. This approach highlights its potential to enhance power quality in LVDC grids by optimizing the current waveform and achieving power factor correction, even in the presence of fluctuating voltage conditions.