Single-Phase Power Theory Using Orthogonal Transformations

Branislav Dobrucky, Marek Roch, Wada Hosny

DOI:
Abstract
The paper deals with the new method of power analysis of single-phase power electronic systems. Using a new particular transform theory the ordinary single-phase system can be transformed into equivalent two-axis orthogonal one. The new original thought is based on the idea that ordinary single-phase quantily can be complemented by fictious second phase so that both of them will create orthogonal system, as it usual in three-phase systems. Application of the above theory makes this possible to use complex methods of analysis as instantaneous reactive power method, which have not been usable for single-phase systems so far. All types of the power, active and reactive, can be determined by this way.