In this paper, we outline a specific communication framework to support a novel demand management program on the edge of the power distribution network. We suggest a model where the arrival process of the smart appliances is made visible to control centers, forming a cellular Microgrid infrastructure, through Home Energy Management Systems (HEMS). These appliances then wait to receive an authorization message before starting to function. The cell control center uses this information to choose an optimal departure process that serves the waiting appliances while minimizing its operational costs. The described information exchange strategy gives the cell the ability to better match the load to the available green energy supply and its day ahead energy bid. We show that this model will allow to increase the integration of intermittent resources in the power grid, with modest communication rate requirements.