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This paper presents a three-phase four-wire shunt active power filter controlled under an energy approach. A nonconventional converter topology is presented and studied. With this topology, and considering harmonics and imbalances in utility voltage and load current, power developed by the active power filter is evaluated. From this evaluation, a controller based on the energy state of the dc-bus is designed. In this paper, an analytical study and verification by simulation are conducted.

Controller for Three-phase Four-wire Shunt Active Power Filter by DC-bus Energy Regulation