Utilizing distributed energy sources in microgrid systems through renewable energy sources is becoming more and more common. However, some stability issues arise from renewable energy’s intermittent nature and the lack of contribution to power system inertia. Using virtual inertial (VI) control to create virtual inertia is one way to improve microgrid stability. The VI control method has been extensively used with a wide range of techniques and classified into different control structures. The article will provide an overview of the current VI topologies and mention some benefits and drawbacks of each topology. And several selected control techniques simulations have shown that all topologies can improve desired system inertial can be performed by choosing parameters such as inertia constant, damping constant, … Furthermore, future developments with promising control techniques, algorithms, and modern models will be discussed.