基于粒子群优化算法的分散式废水处理网络的综合

Synthesis of Distributed Wastewater Treatment Networks Based on Particle Swarm Optimization

基于分散式废水处理网络的超结构,建立了废水处理网络系统最优化的非线性规划模型和混合整数非线性规划模型．它们是具有非凸性的复杂非线性数学规划问题,用现有的方法进行求解不能保证得到全局最优解．因此,提出了应用新型随机型算法——粒子群优化算法求解上述复杂非线性最优化问题．算例问题的求解计算表明, 提出的废水处理网络粒子群优化方法具有不要求初始可行点以及适应全局优化等优点,能够快速有效地解决废水处理网络最优化问题．

Based on a superstructure representation, a nonlinear programming （NLP） model as well as a mixed-integer nonlinear programming （MINLP） model was proposed in this paper for the optimal design of distributed wastewater treatment network system. Non-convexity is in general the main feature of the difficulties for solving these models for wastewater treatment network optimization. To overcome this difficulty, a newly proposed random search algorithm particle swarm optimization was applied to a global optimization method for the wastewater treatment network design. Two examples were illustrated and the results demonstrate that the proposed method can effectively solve the NLP and MINLP models for wastewater treatment network optimization with strong ability for global optimization without relying on an initial point.