Many real networks included Wireless Sensor Networks (WSN) can be considered as scale-free weighted networks which reflect their existing forms and dynamic characteristics.Based on local-world theory

we propose an uneven clustering weighted evolving model of WSN in this paper.The definitions of edge weight and vertex strength take sensor energy

communication traffic and distance into consideration.Vertex strength drives the growth of topology and edge weight dynamically changes correspondingly.Experimental results demonstrate that WSN topology we obtain has the property of weighted networks:edge weight

vertex degree and strength follow a power law distribution.Related research work show that weighted WSN not only share the robustness and fault tolerance of weight-free networks

but also reduce the happening probability of successive node-breakdown

furthermore

enhance the synchronization of WSN.