Instantaneous Reactive Power Theory: A Comparative Evaluation of Different Formulations

This paper analyses the behavior of different active power filter (APF) control algorithms resulting from five formulations of the instantaneous power theory: p-q original theory, d-q transformation, modified or cross product formulation, p-q-r reference frame and vectorial theory are analyzed. A simulation platform with control + APF + load is built to test the different algorithms. The results obtained in an unbalanced and nonsinusoidal three-phase four-wire system are compared. The final analysis shows that from the five formulations, only the vectorial one allows balanced and sinusoidal source currents after compensation