Stability Analysis of Two-Stage Single-Phase Converter System Adopting Electrolytic Capacitor-Less Second Harmonic Current Compensator

For the two-stage single-phase converter, including the power factor correction (PFC) ac-dc converter and dc-ac inverter, a second harmonic current compensator (SHCC) can be introduced to handle the second harmonic current (SHC) for removing the undesired electrolytic capacitor. Consequently, the two-stage single-phase converter becomes a multi-converter system. In this paper, the ac-dc stage or dc-ac stage in the system is categorized into two types in terms of the control objectives, i.e., the bus-voltage-controlled converter (BVCC) and the bus-current controlled converter (BCCC). The SHCC is a BCCC since its bus-port current is directly controlled, and the bus-port impedance of the SHCC is derived, which is affected by the ac-dc stage or dc-ac stage since the SHC reference is extracted from them. The system stability is investigated with the impedance-based stability criterion, and it is found that the system stability is different when the ac-dc stage or dc-ac stage is operated as a BVCC or a BCCC. Specifically, only when the ac-dc stage is operated as a BVCC, the system is unstable; while for other cases, the system is certainly stable. For the applications where the ac-dc stage is operated as a BVCC, a virtual resistor is introduced and realized by the control scheme of the SHCC to ensure the system stability. Finally, a two-stage single-phase PFC ac-dc converter is fabricated and tested to verify the theoretical analysis.