Control strategy of shunt active power filter based on an algebraic approach

In the report the basic principles of an algebraic approach to generate instantaneous compensative actions in an active power filter by means of algebra of four-dimensional hyper-complex numbers are described. This approach is based on the separation of instantaneous power into real and imaginary terms. The experimental testing shows the control strategy of instantaneous compensation allows to achieve unity or leading power factor at sinusoidal waveform of source currents in the non-linear unbalanced load.