To maximize the lifetime of wireless sensor networks is of great significance. But according to our current studies, there are no researches analyzing the lifetime of irregular network. In this paper, the theoretical analysis of all node die time (ALL Node Die Time, ANDT) is given when the network arrive ANDT. We show the accurate region and size of energy hole. In this paper, we use Omnet++ simulator platform to carry out large number of simulation experiments. Both analytical and simulation results show that our an...