Microgrid-based renewable energy systems are being utilized globally with the transition to sustainable energy. However, the intermittent nature and low inertia associated with these systems make the existence of energy storage systems crucial to maintaining their stability. Additionally, hybrid AC/DC microgrids are gaining more attention these days due to the merging of the features of AC and DC systems. The synchronization between these two networks brings other technical challenges and concerns. The transition from grid-connected to islanded mode of operation, with the additional capacities needed to supply different types of loads with different dynamics on the AC side during these events. To address these challenges, this paper introduces an energy management system-based hybrid energy storage system to enhance the stability of hybrid AC/DC microgrids. The proposed EMS was validated through different MATLAB/SIMULINK environment study cases. Further, this paper delves into certain operating conditions, such as pulsed power loads, their dynamics, and how the EMS system will minimize their impacts on DC-bus voltage stability.