  With transition towards 5G, mobile cellular networks are evolving into a
powerful platform for ubiquitous large-scale information acquisition,
communication, storage and processing. 5G will provide suitable services for
mission-critical and real-time applications such as the ones envisioned in
future Smart Grids. In this work, we show how emerging 5G mobile cellular
network, with its evolution of Machine-Type Communications and the concept of
Mobile Edge Computing, provides an adequate environment for distributed
monitoring and control tasks in Smart Grids. In particular, we present in
detail how Smart Grids could benefit from advanced distributed State Estimation
methods placed within 5G environment. We present an overview of emerging
distributed State Estimation solutions, focusing on those based on distributed
optimization and probabilistic graphical models, and investigate their
integration as part of the future 5G Smart Grid services.
