On Energy Equilibrium in Wireless Sensor Networks

In this paper, we formulate the energy equilibrium problem as an optimal corona division, where data fusion is considered in data gathering. For a circular multi-hop sensor network with uniform node distribution, we demonstrate that the maximum energy equilibrium for a given circular area can be achieved only if the area increases in geometric progression from the outer corona to the neighboring inner corona except for the outermost one. The approach for computing the optimal parameters is presented in terms of maximizing the network lifetime. Based on the mathematical model, we propose an energy equilibrium routing(EER). Our simulation results demonstrate that EER can effectively achieve energy equilibrium.