The proliferation of Inverter based resources (IBR), has changed power systems drastically. Synchronous generator (SG) units are getting decommissioned as part of clean energy policies. One major problem that arises from a high penetration level of electronic-based wind generation is the reduction of overall system inertia. At the same time, most of the RES do not have controllable source of energy and hence they cannot provide upwards frequency regulation support unless they keep some margin. Which has a disadvantage that it won’t allow for complete utilization of the RES resulting in economic challenges.The thesis investigates the implementation of GFM control towards frequency stability and inertial response and how the addition of Energy buffer can enhance the system response. DigSILENT Powerfactory is used to model the power system and RMS studies were performed. The thesis uses a generic ESS and does not point to a specific type. Based on the largest contingency and the RoCoF limit ESS sizing was calculated to provide Inertial response (IR), various parameters that affect the ESS sizing are addressed and the impact of these parameters on frequency dynamics is assessed. Though,the simulations clearly reveal the upper hand of ESS in terms of frequency stability , the tradeoffs that need to be considered while sizing the ESS are also addressed in the thesis. Besides IR,the ESS sizing to provide Primary Frequency Response (PFR)was also calculated and the frequency metrics improvement was noted.The thesis concludes with the benefit of operating WPP and ESS in GFM mode. The results and analysis of the thesis could be used to make an improved GFM control with coordination with ESS to address the power system stability.