An Equivalent Dynamic Phasor Model for a Single-Phase Boost Power-Factor-Correction Converter

To mitigate harmonic current flow in distribution systems, single-phase diode-bridge rectifiers (DBRs) are commonly equipped with active power factor correction (PFC) controllers. Achieving high power quality and dynamic performance in PFC controller design demands a precise understanding of PFC converter behavior. While detailed electromagnetic transient (EMT) simulations provide accurate insights, they are time-consuming. To address this, the dynamic phasor (DP) method offers a more efficient modeling approach for power converters. This paper introduces and explores the DP model of a single-phase boost PFC converter, along with guidelines to integrate it with existing simulation platforms. To overcome challenges arising from differing driving frequencies (line frequency for the DBR and switching frequency for the DC-DC converter) in the DP modeling of boost PFC converters, we employ the sign function to transform the dynamic model of the single-phase DBR and boost DC-DC converter into an equivalent single-phase active rectifier model. Subsequently, we convert this equivalent model into a DP model for the single-phase boost PFC converter. Utilizing small-signal analysis, we establish a systematic design procedure for using the proposed DP model to tune and optimize PFC controller gains. Simulations conducted in MATLAB/Simulink, along with error calculations, demonstrate a strong correlation between the proposed DP model and the detailed EMT model results, while also highlighting significant numerical simulation advantages of the DP model over the detailed EMT model. Experimental results further validate the practical utility of the proposed DP model in tuning control systems for single-phase boost PFC converters.