HYBRID DIFFERENTIATION ALGORITHM IN CHEMICAL PROCESS SYSTEM OPTIMIZATION

SHAO Zhijiang; LI Xiang; QIAN Jixin

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HYBRID DIFFERENTIATION ALGORITHM IN CHEMICAL PROCESS SYSTEM OPTIMIZATION

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- HYBRID DIFFERENTIATION ALGORITHM IN CHEMICAL PROCESS SYSTEM OPTIMIZATION
- CIESC Journal Issue 10, Pages: 1397-1402(2003)
- 作者机构：
  
  浙江大学控制科学与工程系系统工程研究所,浙江,杭州,310027
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 October 2003，
  
  Published：25 October 2003
- 稿件说明：
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SHAO Zhijiang, LI Xiang, QIAN Jixin. HYBRID DIFFERENTIATION ALGORITHM IN CHEMICAL PROCESS SYSTEM OPTIMIZATION[J]. CIESC Journal, 2003, (10): 1397-1402.
DOI：

SHAO Zhijiang, LI Xiang, QIAN Jixin. HYBRID DIFFERENTIATION ALGORITHM IN CHEMICAL PROCESS SYSTEM OPTIMIZATION[J]. CIESC Journal, 2003, (10): 1397-1402. DOI：

摘要

在符号微分法的基础上结合差商和自动微分技术提出一种实用高效的混合求导算法，提高了化工过程系统优化的效率.该算法将被求导对象的各个子模块按照是否适于用符号微分求导分为简单模块和复杂模块，对前者用符号微分求导，对后者用差商法求导.针对该算法的关键技术——子模块导数累积问题讨论了链式求导法和摄动传递法.对某厂精馏塔操作优化问题的分析和计算表明，引入混合求导算法提高了优化的效率.

Abstract

A new practical approach for differentiation

named hybrid differentiation algorithm

is presented to improve the efficiency of chemical process system optimization. In this approach

the original function is partitioned into two kinds of modules:simple module and complicated module. On the one hand

automatic differentiation is used to analyze the structure of the simple modules and represent them as rooted direct trees. Then symbolic differentiation is used to obtain the symbolic derivatives of the trees

by which derivative evaluation of the simple modules can be carried out. On the other hand

finite difference is adopted to differentiate the complicated modules. Accumulation of derivatives

the critical technique of hybrid differentiation

is discussed and two approaches are developed. Numerical experiment with a distillation column optimization problem demonstrates that the efficiency of optimization is significantly improved by using hybrid differentiation.

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