Complex Systems of Interlinked Distillation Columns Solved by Sparse Matrix Methods

张伯嗣

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Complex Systems of Interlinked Distillation Columns Solved by Sparse Matrix Methods

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- Complex Systems of Interlinked Distillation Columns Solved by Sparse Matrix Methods
- CIESC Journal Issue 1, (1987)
- 作者机构：
  
  中国石化总公司北京设计院
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Online First：25 March 1987，
  
  Published：25 March 1987
- 稿件说明：
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张伯嗣. Complex Systems of Interlinked Distillation Columns Solved by Sparse Matrix Methods[J]. CIESC Journal, 1987, (1).
DOI：

张伯嗣. Complex Systems of Interlinked Distillation Columns Solved by Sparse Matrix Methods[J]. CIESC Journal, 1987, (1). DOI：

摘要

提出了一个具有复杂联接的精馏塔系统的模型

与通常的精馏塔不同

不仅维数增大

而且在物料平衡和焓平衡矩阵中出现了偏离三对角的元素.这就不能有效地利用通常的三对角矩阵的解法.本文采用Browne的解的格式

改进了他的收敛性判据

同时在算法和数据处理上采用了矩阵逆的消去形式和乘积形式.压缩了计算机的存贮

为大规模问题的计算提供了条件.用文献例题作为计算实例

结果十分吻合.

Abstract

A mathematical model for complex systems of interlinked distillation columns is presented. Because of the presence of interlinked streams

a small number of nonzero off-tridiagonal elements occurred in the blocks matrix and consequently complicated the procedure of solution. The method presented in this paper adopted the basic procedure developed by Browne for solving multicolumn equilibrium stages

and improved his convergence criteria. In order to make use of mass storage efficiently during the solution

the e-limination form of inverse(EFI) and product form of inverse(PFI) were used

so as to provide the possibility for solving large-scale problems. Examples cited from the literature were calculated with satisfactory results.

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