The presence of renewable energy sources in the power system is increasing, and it's coming to modernization of the system in which inverters dominate more and more. In that kind of system the problem of inertia deficit arises, which is an indispensable thing for large synchronous machines. In the event of disturbances in such systems, there is a greater ROCOF, which disturbs the stability of the system. As a solution to the problem of inertia deficit the concept of virtual inertia was created. This concept represents a combination of control algorithms, renewable energy sources, battery storage systems and power electronics, and thus tries to imitate the inertia of conventional power systems. In this thesis, technological solutions for the implementation of virtual inertia in power system were provided, and simulations were carried out where the influence of battery storage systems (BSS) as a provider of virtual inertia was observed. With the help of the computer tool PowerFactory, simulations of the influence of BSS as a provider of virtual inertia were carried out, where the expected results were obtained. By implementing BSS in power system, an increase in inertia, a decrease ROCOF and the point of maximum frequency deviation were achieved.