Geometric Analysis-Based Cluster Head Selection for Sectorized Wireless Powered Sensor Networks

We consider a sectorized wireless powered sensor network (WPSN) where sensor nodes transmit data to their cluster head (CH) using the energy harvested from the hybrid access point (HAP) and the CH transmits the aggregated sensing data to the HAP using the harvested energy. We construct a system model for this sectorized WPSN operation and formulate an optimization problem to find an optimal CH that maximizes the achievable rate of sensing data. To find the optimal CH with low complexity, we perform an asymptotic geometric analysis (GA) that informs the optimal position of CH in the sector area and enables us to find the optimal CH near this optimal position. Simulation results show that the proposed GA-based CH selection method approaches the optimal performance obtained by exhaustive search while significantly reducing overhead.