Power Compensation for Asymmetrical Voltages 3D Vector versus α-β Method

Alfa-Beta method has extensively used since its formulation by Akagi in 1983 [1] and become the classical wide spread solution for shunt active power filtering.For majority of situations this has a good efficiency and simplicity both for analogical and digital implementation. The development of vector 3D method gives o more rigorous approach, with the price of a more complex and expensive implementation, sometimes unjustified. However, for some special cases its utility is revealed.The purpose of the paper is to derive a comparative analysis of these methods, in a unitary way, based on geometrical representation and vector variables which enable a good evaluation from qualitative and quantitative point of view of characteristics and specific problems. Thus, may be revealed the steps and connections where problems occur with corresponding effects.The tools implied are 2D and 3D simulations for the parameter evolution when the algorithms are suited. The Mathcad mathematical interpreter enables a natural representation of vector operations, easy to be verified formally.