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A wireless sensor network in practice often suffers from environment damage and energy depletion. In order to solve the problem, this paper establishes a comprehensive fault model first. Then according to the demand for comprehensive fault tolerance ability and network lifetime, a relationship between the network node degree and the maximum node degree is obtained. And the relational expression between the two kinds of node degrees derived from the scale-free characteristics is acquired. Thus the optimal maximum node degree can be solved. Finally, based on the fitness function for the maximum node degree introduced, a scale-free fault tolerant topology evolution model is put forwarded which can effectively tolerate comprehensive fault. Simulation results show that the scale-free topology obtained has strong fault tolerance for environment damage and energy depletion. And it also can effectively prolong the network lifetime.







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