Smart grids are comprised of several interconnected layers of networks. A set of Electrical Devices (EDs) in the lowest layer, the Home Area Network (HAN), communicates with the Mesh Client (MC). The HAN, in this paper, is modelled as a wireless network using Frequency Division Multiple Access (FDMA) and Time Division Multiple Access (TDMA) to facilitate communication between the EDs and their respective MCs. For these models, channel capacities over the Rayleigh and Nakagami fading channels are determined and delay analysis is presented. Upper and lower bound expressions for achievable delay, in closed-form, are derived as a function of Signal-to-Interference-plus-Noise Ratio (SINR), received power, number of EDs, number of channels, and Inter-channel Interference Range (ICR). Numerical simulations have been used to validate the analytical results. It is shown that transmission of packets using TDMA results in a shorter delay than by using FDMA.