非线性污水处理过程的多目标优化

doi:10.3969/j.issn.0438-1157.2013.10.025

化工学报 ›› 2013, Vol. 64 ›› Issue (10): 3665-3672.DOI: 10.3969/j.issn.0438-1157.2013.10.025

非线性污水处理过程的多目标优化

徐恭贤, 韩雪

渤海大学数理学院, 辽宁锦州 121013

收稿日期:2013-02-25 修回日期:2013-04-22 出版日期:2013-10-05 发布日期:2013-10-05
通讯作者: 徐恭贤(1976-),男,博士,副教授
作者简介:徐恭贤(1976-),男,博士,副教授。
基金资助:
国家自然科学基金项目(11101051);辽宁省高等学校优秀人才支持计划项目(LJQ2013115)

Multi-objective optimization of nonlinear wastewater treatment process

XU Gongxian, HAN Xue

School of Mathematics and Physics, Bohai University, Jinzhou 121013, Liaoning, China

Received:2013-02-25 Revised:2013-04-22 Online:2013-10-05 Published:2013-10-05
Supported by:
supported by the National Natural Science Foundation of China(11101051)and the Program for Liaoning Excellent Talent in University(LJQ2013115).

摘要/Abstract

摘要： 研究了复杂非线性污水处理过程的多目标优化。针对污水处理过程的非线性动力系统,建立了使污水处理过程运行成本和描述实际输出与期望输出偏差的平方可积误差设计指标同时达到最优的多目标优化模型。采用间接优化方法,首先将描述污水处理过程优化的多目标非线性问题转化为多目标线性规划问题,然后利用遗传算法对其进行求解。本文方法不仅获得了多目标优化问题的近似Pareto前沿,而且由于采用的是多目标线性规划方法,所以具有计算成本低的优点。

关键词: 污水处理过程, 最优操作, 多目标优化, Pareto最优解, 线性优化方法, 遗传算法

Abstract: Multi-objective optimization of wastewater treatment process was studied.According to a nonlinear dynamic model of wastewater treatment process,a multi-objective optimization model was established.The economic cost and integral square error between actual and desired outputs were optimized simultaneously to perform a wastewater treatment plant.The original multi-objective nonlinear problem describing the process optimization of a wastewater treatment plant was first transformed into a multi-objective linear programming by using the indirect optimization method(IOM).A powerful multi-objective optimization genetic algorithm was used to derive the Pareto optimal solutions,which could illustrate the whole trade-off relationships between objectives.The approach proposed not only obtained the approximate Pareto fronts of multi-objective optimization problem,but also had a low computational burden due to the use of multi-objective linear programming method.

Key words: wastewater treatment process, optimal operation, multi-objective optimization, Pareto optimal solution, linear optimization method, genetic algorithm

中图分类号:

TQ021.8

徐恭贤, 韩雪. 非线性污水处理过程的多目标优化[J]. 化工学报, 2013, 64(10): 3665-3672.

XU Gongxian, HAN Xue. Multi-objective optimization of nonlinear wastewater treatment process[J]. CIESC Journal, 2013, 64(10): 3665-3672.

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非线性污水处理过程的多目标优化

Multi-objective optimization of nonlinear wastewater treatment process

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