The increase in the penetration of inverter based renewable energy resources comes with several challenges. For one, the power quality can be cited as an issue due to the impact of the electronic devices in the grid voltage profile, which can cause harmonic disturbances and then affect all other installations nearby. Considering the issue previously described,} this paper analyzes the effects of grid voltage harmonic disturbances in the operation of a grid-connected Voltage Source Converter (VSC) with current control in the stationary reference frame. A mathematical model is derived and validated both through simulations and experiments in order to associate the voltage harmonic magnitude disturbance with the respective current harmonic magnitude response from the grid-connected VSC. The model is also utilized to tune paralleled resonant controllers to mitigate the effect. Furthermore, the results and analyses highlight not only the effectiveness but also the limitations from the proposal.