Electrical distribution network operators require measurements from phasor measurement units (PMUs), micro-PMUs (\(\mu\)PMUs), and smart meters (SMs) in order to develop efficient distributed management system (DMS) applications. The high data-rate transmission of those measurements is a burden to the underlying communication system and its feasibility needs to be investigated. In this paper, we propose a method to characterize the traffic generated by a DMS application in a smart city scenario and an analysis of its impact on a realistic LTE infrastructure. Real geographic data on the position of SMs, PMUs, and \(\mu\)PMUs are employed to accurately model this DMS application and its generated traffic. A realistic LTE infrastructure is used to measure the load of DMS traffic at each eNodeB. The impact of synchronous and asynchronous DMS traffic on the LTE access is discussed, and bottlenecks in the LTE communication network are identified.