a novel reference current calculation method for shunt active power filters using a recursive algebraic approach

this paper presents a novel method to calculate the reference source current and the referencecompensating current for shunt active power filters (sapfs). this method first calculates theamplitude and phase of the fundamental load current from a recursive algebraic approach blockbefore calculating the displacement power factor. next, the amplitude of the reference mains currentis computed with the corresponding phase voltage. finally, the difference between the actual loadcurrent and the reference source current is considered the reference compensating current to bedelivered by the sapf. the proposed method is presented and applied to the control system of thevoltage source converter of sapfs. the performance of the proposed method in reducing harmonicsand improving the power factor is examined with a sapf simulation model. the results are comparedwith the instantaneous active and reactive p-q power theory as other reference generation method.