With the continuous increase in the popularity of renewable energy, its penetration into the grid is increasing at a rapid rate. Rapid changes in the penetration of the renewable energy resources cause voltage and frequency instability which can affect the grid as well as other loads connected to it. Therefore, there is a necessity of inverter controlling system which acts like a synchronous generator (SG), that helps in maintaining voltage and frequency stability during both grid and islanded conditions. In this paper, a hybrid PV/battery system with virtual synchronous generators (VSG) control is proposed. Solar PV systems and batteries have been sized with appropriate calculations, such that the system can sustain crucial loads for longer durations while maintaining system stability and DC bus voltages at the set levels. Simulation studies are conducted using MATLAB/Simulink, and results shows that the frequency distortion in the grid connected mode is 0.2% of nominal frequency. VSG in the hybrid model system helps in improving the stability of the system during varying load and generation scenarios.