On the Use of the p-q Theory for Harmonic Current Cancellation with Shunt Active Filters

Discussion and mathematical proof on necessary and sufficient conditions for the application of the {p-q} theory for compensating the harmonic currents consumed by non-linear load using a shunt active filter are presented. These conditions over instantaneous active and reactive powers were not addressed before and must be considered on the design of new control strategies based on {p-q} theory. Theoretical demonstration is proposed and an application example with simulations results is used to validate the theoretical results