This paper investigates the impact of internal communication delays on active power dispatch in hybrid power plants (HPPs) comprising wind, solar, and battery energy storage systems. While having multiple renewable energy technologies and storage brings multiple benefits, it also introduces operational challenges subject to uncertainties and the coordination issues within multiple energy technologies, also particularly in multi-level control architecture plant-level to asset-level control. The geographical distribution of the technologies within an utility-scale HPP introduces communication latency due to several disturbances. This study investigates the impact of such communication delays within the hierarchical control structure, modelling them in the form of discrete and second-order delays. A detailed Power Factory model is developed under grid-following inverter configuration. The contributions of this work are threefold: (i) modelling a hierarchical active power dispatch strategy and evaluating representative edge case scenarios; (ii) overview and modelling of communication delays at sub-plant level control; and (iii) quantifying the impact of communication delays, including the stability margins and operational boundary limits of HPP controller. The results provide insights into the design of robust control architectures capable of maintaining stability and active power control in delay-prone communication environments.