The tight interaction between power grids and communication networks supports the advanced functionalities of smart grids and enables a more efficient utilization of the assets within the power system. Towards this objective, it is of utmost importance to develop a model that reflects such an interaction. Unfortunately, existing cyber-physical interdependent models are conceptual or are specific to certain regions and do not consider the spatial information and correlation of electrical elements. To address these limitations, in this paper, we propose an interdependent communication-power network model using tools from stochastic geometry, which takes into consideration the spatial locations of electrical buses and the required service quality within the communication network. A step-by-step process on building a communication network on top of the power grid while satisfying the average queuing delay and queuing stability constraints is described. A case study for a realization of this generative interdependent model is presented.