In recent years, there are a lot of researches about WSNs, but most of them are based on un-weighted networks and the most reality networks are weighted networks. For example, the highway between two big cities in traffic networks is more important than the road links two countrysides. In the evolution process, a new edge weight is established with the probability p according to the triad formation mechanism and with the probability 1-p according to weight priority connection mechanism. The introduction of energy factor balances energy consumption in network, and the triad formation improve the clustering coefficient of the network, and then improve the fault-tolerance of the network. Finally, theoretical results show that the distribution of node weight and the node degree of the network all obey the power-law distribution. Simulation results show that this model has a high clustering coefficient and the good fault tolerance characteristics, and then balance the energy consumption of the network.
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