Harmonic Control of Three-Phase AC/DC Converter With Time-Domain Guarantees

Abstract

In light of recent advances in harmonic modeling and control theory, we present a novel approach for controlling a three-phase grid-tied ac-dc converter. Our methodology involves deriving an infinite-dimensional harmonic bilinear model and employing forwarding control techniques to design globally stable state feedback. This framework enables the integration of control objectives tailored to harmonic distortion, mitigation, and the tracking of periodic trajectories, leveraging integral actions. Moreover, we demonstrate the transposition of our harmonic control design into a periodic nonlinear control scheme in the time domain, preserving the established stability guarantees. These assurances stem from recent fundamental theoretical findings, outlining the conditions for a bijection between harmonic- and time-domain trajectories. Through illustrative simulations and experimental setups, we assess the methodology’s effectiveness in real-time total harmonic distortion (THD) reduction and rejection of specific harmonic disturbances. The obtained results affirm the successful accomplishment of our control objectives, validating the efficacy of the proposed harmonic control approach.