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The major problem in grid-connected power transmission and distribution networks is the quality issues due to the unbalance loads. The power quality issues related to the current and voltage-based issues generated at the PCC (point of common coupling). Some of the current issues related to reactive power extraction, poor zero voltage regulation, harmonic currents, undesired neutral current, and low power factor. Several D-STATCOM compensation techniques have been introduced for the compensation of power quality issues in the three-phase and four-wire system. The proposed work focuses on D-STATCOM soft computing techniques such as widrow-Hoff least mean square, vectorial filter, discrete adaptive filter, and quasi-Newton control algorithms. The proposed algorithms controlled the switching pulses to drive the voltage source converter (VSC) section in the network thereby mitigating the D-STATCOM reactive power generation in the grid-connected photovoltaic (PV) system. The soft computing techniques have maintained constant DC bus coupling capacitor voltage and common voltage maintaining unity power factor, zero voltage regulation for linear and non-linear loads.