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In this paper, a predictive current control method for the shunt active power filter is proposed. The active filter output voltage is predicted using the supply current, not the active filter current. Harmonic current extraction is achieved using the capacitor voltage control technique. Space vector modulation (SVM) is used as a pulse width modulation technique. The method improves the current control tracking performance, minimizes the number of sensors, uses SVM to reduce the capacitor voltage consequently the switching loss, and reduces computational burden. The proposed method is validated by simulation and experimentally.