| 基于简约空间序列二次规划算法和混合求导方法的精馏塔操作优化 |
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| 引用本文： | 江爱朋,邵之江,陈曦,郑小青,耿大钊,方学毅,钱积新.基于简约空间序列二次规划算法和混合求导方法的精馏塔操作优化[J].化工学报,2006,57(6):1378-1384. |
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| 作者姓名： | 江爱朋 邵之江 陈曦 郑小青 耿大钊 方学毅 钱积新 |
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| 作者单位： | 浙江大学工业控制技术国家重点实验室，系统工程研究所，浙江 杭州 310027 |
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| 基金项目： | 国家高技术研究发展计划(863计划)
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国家研究发展基金 |
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| 摘 要： | 以开放式方程建立精馏塔严格机理模型，对精馏塔的操作优化进行了研究.根据精馏塔操作优化命题自由度低、模型结构稀疏且导数难以解析求解的特点，提出了基于简约空间序列二次规划算法（SQP）和混合求导方法相结合的精馏塔操作优化计算方法.在该方法中优化命题采用简约空间SQP算法求解，求解过程中需要的导数信息采用解析表达和预处理的自动微分技术求取.计算结果表明，本文方法在计算效率上大大高于基于差分求导的标准SQP算法，有利于在线实时优化的实施.另外本文优化结果也表明，精馏塔操作优化对提高产品产量、提高综合经济效益具有明显作用.
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| 关 键 词： | 序列二次规划算法 简约空间 自动微分 精馏塔 实时优化 操作优化 |
| 文章编号： | 0438-1157（2006）06-1378-07 |
| 收稿时间： | 05 17 2005 12:00AM |
| 修稿时间： | 08 17 2005 12:00AM |
Operation optimization of distillation column based on reduced SQP algorithm and hybrid derivative method |
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| JIANG Aipeng,SHAO Zhijiang,CHEN Xi,ZHENG Xiaoqing,GENG Dazhao,FANG Xueyi,QIAN Jixin.Operation optimization of distillation column based on reduced SQP algorithm and hybrid derivative method[J].Journal of Chemical Industry and Engineering(China),2006,57(6):1378-1384. |
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| Authors: | JIANG Aipeng SHAO Zhijiang CHEN Xi ZHENG Xiaoqing GENG Dazhao FANG Xueyi QIAN Jixin |
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| Affiliation: | National Laboratory of Industrial Control Technology, Institute of Systems Engineering, Zhejiang University, Hangzhou 310027, Zhejiang , China |
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| Abstract: | Distillation is a very important process in the large-scale production of ethylene and other refining and petrochemical processes.Based on the rigorous model of MESH and SRK equation of state, the optimization strategy for the operation of distillation column was studied.Since the open form equation-based model of distillation column has relatively small degrees of freedom, special structure and strong sparsity, a method based on the reduced sequential quadratic programming(SQP) algorithm and hybrid derivative method was presented to solve this kind of problems.The first order gradient information was obtained by the analytical method and preconditioned automatic differentiation.Because the objective was simple and relate to small number of variables, the analytical gradient function was obtained to get gradient information of objective.To utilize the sparsity and structure of the distillation column model, the sparse structure and compress pattern were obtained firstly by preconditioning procedures, and then gradient information of constraints was obtained through preconditioned automatic differentiation technology at each iteration.Computing results demonstrated that the proposed method was more efficient than the standard SQP algorithm, and the economic benefit could be improved significantly with optimal operation obtained under different conditions. |
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| Keywords: | sequential quadratic programming reduced space automatic differentiation distillation column real-time optimization operation optimization |
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