The performance of smart grid under the demand response (DR) control depends on the behavior of its network

which involves differences for multi-category DRs. In this paper

a distributed wireless network (DWN) is proposed for the demand transmission under smart grid

where all DR projects are divided into the emergency DR and the general DR by the latency difference. In the proposed DWN

a pseudo-double-hop transmission architecture is designed to handle the emergency DR locally and general DRs centrally

respectively. Furthermore

an analysis framework based on communication and computing performance is used to certify the reliability and effectiveness of DWN. Based on the framework

the closed-form expressions are derived for the asymptotic outage and computing probability

the results of which are used to investigate the performance of emergency and general DRs. Numerical results validate the reliability and effectiveness of the proposed network and reveal the effect of various parameters on the performance of DR. Notably

the local solution can handle

in terms of the emergency DR

the emergency tasks in time

and the centralized processing solution can update and process the general DR.