A basic problem in the design of Wireless Mesh Networks (WMNs) is presented by the choice of renewable energy for the communication problems in remote regions and post-disaster reconstruction areas. Since the cost and performance are take into consideration as the needs to address the inadequate capacities of links and time-varying traffic demands. In this paper, we aim to find a trade-off between the higher time-varying traffic throughput and lower energy consumption. We propose an optimal approach using particle swarm optimization (PSO) method by formulating this problem into a numerical optimization problem which takes the battery’s charge-discharge constraint into consideration firstly. As a further study, an accelerated approximation that computes this optimal problem for larger cases is put forward. Finally, the efficiency of our proposition is proved by numerical results.