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In this paper, a new predictive direct power control algorithm to control the PWM rectifier based on virtual flux (VF) is presented. In this algorithm, supply network and the line inductances are assumed as an induction machine and so virtual flux space vectors are assumed corresponding with the space vector of the network voltages. Instantaneous active and reactive powers and finally convertor average voltage in both stationary and rotating reference frames are calculated by the virtual flux space vector components. The main advantages of the proposed method are low total harmonic distortion of the input current and low ripple in the instantaneous active and reactive powers and direct current-bus voltage under harmonic distorted condition of the supply voltage in comparison with voltage-based predictive direct power control (V-PDPC) method. Proposed VF-PDPC method with space vector modulation switching strategy was tested in simulations and compared with the V-PDPC method. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]