Generating Common-Mode Voltage (CMV) by an inverter is a significant concern. In photovoltaic systems without transformers, fluctuations in CMV lead to a flow of leakage current and high-frequency harmonics. Using a limited number of switching states may reduce the leakage current. The cost of this act is the deterioration of the current quality. Model predictive control, reinforced by the virtual voltage concept, is useful for compensating for this drawback without needing system linearization. However, the computational burden of the processor will increase. To overcome this issue, this research proposes a remote state deadbeat technique. A cost function is defined to choose the optimal voltage vector from among ten candidate voltage vectors. This method reduces both line current distortion and the leakage current. Also, the computational burden is almost similar to that of the remote state predictive method.