Quaternion-Based Single-Phase Full Bridge VSI Control for Compensation of Voltage Variation and Harmonic Distortion

Nowadays, many control methods for single-phase voltage source inverter in standalone mode have been proposed for high-quality AC power generation with low output voltage distortion. However, most control strategies require high computational costs and large memory due to significant amount of computation. To overcome this hurdle, the paper presents a novel control scheme in quaternion domain based on conventional voltage proportional-integral controllers in which all differences (errors) between the ideal and actual instantaneous voltage behaviors are compensated. This has been achieved through decomposing the voltage quaternion in such a fashion that a single-phase output inverter voltage can be split into pure sinusoidal quaternion at fundamental frequency and another pure non-sinusoidal quaternion. The paper also describes various techniques for Clarke-Park transformation implementation for AC single-phase system through fictitious orthogonal signal generation as well as the quaternion-based inverter control architecture using 4D hyper-complex space. Simulation results have been verified feasibility and effectiveness of the proposed control strategy under nonlinear loading scenario.