In electrical grids, the widespread connection of power converters and non-linear loads caused the emergence of problems related to power quality. In particular, one important issue is the generation of DC current components. This phenomenon has various detrimental effects on the power distribution transformers, such as increased harmonic distortion, increased power losses, and possible damage due to consequent overheating. This paper proposes an analysis and modeling of a simple control system composed of a power converter and a DC voltage sensor, aimed at compensating the DC current component flowing in the grid. The proposed model allows to investigate the stability of the DC current compensation strategy. The simplified model was experimentally validated through the construction of a suitable test bed.