首页|基于混合整数线性规划的浓密脱水过程协调优化

基于混合整数线性规划的浓密脱水过程协调优化

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浓密脱水过程是有色金属选冶领域重要的固液分离工序.但由于该过程关键变量难以在线检测、生产设备间相互耦合以及人工经验操作等问题,导致其能耗较高、过程安全性难以保证.对此,以浓密脱水过程为背景,构建一种基于混合整数线性规划的协调优化模型.利用工业现场的历史数据,建立底流浓度预测模型以及底流泵与压滤泵运行时间预测模型;在考虑阶梯电价的条件下,以最小化生产过程能耗为目标,以生产工艺条件、设备安全等为约束条件,建立浓密脱水过程的协调优化模型;通过引入辅助决策变量,对优化模型进行线性化处理,将复杂的非线性过程问题转化为更易于求解的混合整数线性规划问题.最后,将所提出的方法应用于某选矿厂的浓密脱水过程,结果显示,平均放矿底流浓度可以提高13.5％,能耗经济指标降低46.8％.
Coordinated optimization of thickening-dewatering process based on mixed integer linear programming
Thickening-dewatering process is an important solid-liquid separation process in the field of nonferrous metal beneficiation and metallurgy.However,there are some problems in the process,such as difficult on-line detection of key variables,mutual coupling between production equipment and manual experience operation,which lead to high energy consumption and are difficult to ensure process safety.To solve the above problems,a coordinated optimization model of the thickening-dewatering process based on mixed integer linear programming is constructed in this paper.Based on the historical data of the industrial field,the prediction model of underflow concentration and the prediction model of operation time of underflow pump and pressure filter pump are established.Considering the ladder electricity price,a coordinated optimization model of the thickening-dewatering process is established with the goal of minimizing the energy consumption in the production process and the constraints of production process conditions and equipment safety.By introducing auxiliary decision variables and linearizing the optimization model,the complex nonlinear process problem is transformed into a mixed integer linear programming problem which is easier to be solved.Finally,the proposed method is applied to the thickening-dewatering process of a concentrator.After application,the average concentration underflow during ore drawing is increased by 13.5％,and the economic index of energy consumption is reduced by 46.8％.

thickening-dewatering processprediction modelcoordinated optimizationladder electricity pricemixed integer linear programmingeconomic index of energy consumption

贾润达、李志奇、张树磊、何大阔、李康、王福利

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东北大学信息科学与工程学院,沈阳 110819

东北大学流程工业综合自动化国家重点实验室,沈阳 110819

矿冶科技集团有限公司矿冶过程自动控制技术国家重点实验室,北京 100160

浓密脱水过程 预测模型 协调优化 阶梯电价 混合整数线性规划 能耗经济指标

矿冶过程自动控制技术国家重点实验室开放研究基金项目国家自然科学基金项目国家自然科学基金项目

BGRIMM-KZSKL-2022-66187304961733003

2024

10.13195/j.kzyjc.2022.1350

控制与决策
东北大学

控制与决策

CSTPCD北大核心
影响因子：1.227
ISSN：1001-0920
年,卷(期)：2024.39(4)
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