Abstarct: Recently, due to environmental issues and lack of fossil resources, the widespread use of renewable resources has been considered. The use of resources in the conventional leads to decentralized generation and due to the changing nature of these resources many, fluctuations have been added to the network. DC microgrids, as a small power grid, make it easy to use and control these resources in the distribution network. Excessive penetration of power electronic baxsed renewable sources has reduced the inertia and damping making the system more sensitive the disturbances and reducing the system stability margin. This thesis uses a DC microgrid structure connected to an AC network equipped with a virtual synchronous machine to manage automatically the power of the DC microgrid and AC network and analyzing the role of virtual inertia in small signal stability. In order to verify the proposed method, the network has been studied for different operating conditions and inertias. In this method, with the use of the voltage source converter response and proper design dual droop control, amd also with the aid of the voltage and frequency controllers and active output controllers, the necessary support for adjusting the system frequency and active power are provided to withstand disturbances and therefore, stability is enhanced for different operaing conditions.