D-Q-0 Synchronous Frame Average Model for Three-Phase Arrays Of Single-Phase PFC Converter Loads

The small-signal modeling of single-phase power factor correction (PFC) converters is limited by the fact that it must deal with time varying AC variables; thus becoming a hindrance for controls design and dynamic interaction analysis. This paper proposes a modeling approach for the analysis of multiple single-phase PFC converters, achieved by aggregating them into a single equivalent three-phase load. This equivalent model may then be readily converted into the d-q-0 synchronous frame where formerly time-varying state variables become DC quantities in steady state. From the resultant average model small-signal analysis may then be easily performed by either analytic or numerical methods. This paper presents the complete derivation of the proposed d-q-0 average model for multiple single-phase PFC converters, using time-domain simulations for verification, exploring as well its small-signal analysis capability by studying the converters input impedance on all three d-q-0 channels. From these results the excellent performance and great usefulness of the model is verified