“…Most of the industrial applications need current harmonic compensation so the shunt active filter is more popular than series active filter. [8,9,11,12] Different approaches have been proposed and implemented for extracting the harmonic current, such as the instantaneous power theory developed and defined by Akagi in 1984 based in three phase three wires. This theory gives good performance for balanced supply condition; however, when the voltage source is significantly unbalanced, performance is poor, [13,14,15,16] and it was later modified and extended by Nabae and applicable to the 4 wires , unbalanced systems (modified PQ theory or PQR theory).…”