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Optimal decompositions of load current vectors and the corresponding instantaneous and integral power losses of multiphase power supply systems based on the equations for determining the active current taking into account the ratio of resistive parameters in the transmission line are justified. The minimum values of instantaneous and integral power losses associated with the transfer of energy with a given value of active power are determined. Basedon the optimal decomposition of the load current vectors, four control strategies for the shunt active filter are constructed each of which provides an extreme value to one of the quality parameters. References 13.

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A combined control system for a shunt active filter in the coordinate system of the two-wattmeters method has been proposed, which, depending on the conditions of use, implements one of the four active filtration strategies, optimal according to a certain quality indicator. The most promising is the proposed integral strategy for active filtration control with the reference vector of line voltages of direct sequence, which provides symmetric sinusoidal currents of the network and the minimum pulsation of power consumption for the almost identical energy-saving effect as the concept of S. Fryze. New formulas for calculating the energy-saving effect and pulsations of the instantaneous power in a three-phase system of power in the case of the formation of an active current in the transmission line in the conditions of asymmetry of loading voltage and linear asymmetric load have been developed. Simulation studies have confirmed the adequacy of the proposed strategies and calculations. References 15, figures 5, tables 2.