Abstract
Such basic concepts of power theory as apparent power, active current and minimum power losses in the transmission line are defined for a three-phase three-wire system in the shortened two wattmeter reference frame. On the basis of these concepts, two energy-efficient active filtration strategies were developed and verified by virtual experiments. The first of them minimizes the power losses of a three-phase three-wire transmission line with different values of its resistances and ensures a unit value of the power factor. The second strategy follows the recommendation of IEEE Std. 1459-2010 ensures the minimum power loss of the transmission line with symmetrical sinusoidal currents of a three-phase source.
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