中文摘要：

从理论上分析了分簇网络不同簇半径下的能量消耗情况，得到的结论是：1）给出了网络寿命最大时的簇半径韵计算表达式；2）提出一种新颖而简单的采用不等簇半径轮换工作的能量空洞避免策略，其核心是：网络寿命取决于能量消耗最大节点的能量消耗，当采用不等的簇半径轮换工作时，其能量消耗最大的节点不是同一节点，因而其综合的能量消耗比采用最优的固定簇半径的能量消耗还少，从而可有效提高网络寿命。理论分析与模拟实验结果表明，该策略实施简单，又能够有效地避免能量空洞现象，并显著地延长了网络的存活时间。

英文摘要：

A theoretically analytical method for the energy consumption with different cluster-radius in clustering network was presented. The main conclusions were presented below： 1） calculation of expression of cluster-radiusτ was given as that the network lifetime was maximal. 2） a novel and simple strategy to avoid the energy hole problem for data gathering was presented. Employing an unequal cluster-radius and alternating between dormancy and work was the core idea. The network lifetime depended on the max energy consumption of node. And it wasn＇t the same node when em- ploying an unequal cluster-radius and alternating between dormancy and work. So the total energy consumption was less than the network which employing an optimum and fixed cluster-radius and it could achieves an obvious improvement on the network lifetime. The theoretical analysis and simulation results show that the strategy is very simple and it can effec- tively avoid the energy hole problem.