Payam Salehi - Computer Department, Young Researchers and Elite Club,Broujerd Branch, Islamic Azad University Broujerd, Iran
Mohammad Ebrahim Shiri Ahmad Abadi - Department of Mathematics and Computer Science, Amir Kabir University Tehran, Iran

Reducing the energy consumption of nodes in sensor networks and prolonging the network life time has been proposed as one of the most important challenges facing researchers in the field of sensornetworks. Therefore, designing an energy-aware protocol to gather data from network level and transmitting it to sink is placed on theagenda at this paper. After presenting an analysis of the processes of clustering in sensory networks and investigating the effect ofsending interval on the amount of energy consumption, We have shown that if the use of convex static casters be done such as allthe communications within the cluster with the sending distance less than the optimal threshold, it Will help to increase the lifetimeof nodes. also have shown that if we create a virtual backbone between cluster heads to transfer far cluster heads data from sink tosink , will has a significant impact on increasing the network lifetime. For this reason, a detailed discussion on how to determine the size of clusters and partitioning of the network environment to them is presented in Chapter 4.Simulation results show considerable improvement of the proposed algorithm.

Sensor Network, Energy Consumption, Lifetime,Clustering, Convex Set