Development of a bifurcation analysis approach based on gPROMS platform

Xueqing Kang; Hongye Cheng; Liwei Tong; Lifang Chen; Zhiwen Qi

doi:10.1016/j.cjche.2016.05.025

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Development of a bifurcation analysis approach based on gPROMS platform

Process Systems Engineering and Process Safety | Updated：2026-01-06

- Development of a bifurcation analysis approach based on gPROMS platform
- Development of a bifurcation analysis approach based on gPROMS platform
- 中国化学工程学报（英文版） 2016年24卷第12期页码：1742-1749
- Affiliations：
  
  Max Planck Partner Group at the State Key Laboratory of Chemical Engineering, School of Chemical Engineering, East China University of Science and Technology,Shanghai,China,200237
- Author bio：
- Funds：
- DOI：10.1016/j.cjche.2016.05.025
  中图分类号：
- 纸质出版：2016
- Accepted：
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Xueqing Kang, Hongye Cheng, Liwei Tong, 等. Development of a bifurcation analysis approach based on gPROMS platform[J]. 中国化学工程学报（英文版）, 2016,24(12):1742-1749.

Xueqing Kang, Hongye Cheng, Liwei Tong, Lifang Chen, Zhiwen Qi. Development of a bifurcation analysis approach based on gPROMS platform[J]. , 2016, 24(12): 1742-1749.
Xueqing Kang, Hongye Cheng, Liwei Tong, 等. Development of a bifurcation analysis approach based on gPROMS platform[J]. 中国化学工程学报（英文版）, 2016,24(12):1742-1749. DOI： 10.1016/j.cjche.2016.05.025.

Xueqing Kang, Hongye Cheng, Liwei Tong, Lifang Chen, Zhiwen Qi. Development of a bifurcation analysis approach based on gPROMS platform[J]. , 2016, 24(12): 1742-1749. DOI： 10.1016/j.cjche.2016.05.025.

摘要

Abstract

A bifurcation analysis approach is developed based on the process simulator gPROMS platform

which can automatically trace a solution path

detect and pass the bifurcation points and check the stability of solutions. The arclength continuation algorithm is incorporated as a process entity in gPROMS to overcome the limit of turning points and get multiple solutions with respect to a user-defined parameter. The bifurcation points are detected through a bifurcation test function τ which is written in C++ routine as a foreign object connected with gPROMS through Foreign Process Interface. The stability analysis is realized by evaluating eigenvalues of the Jacobian matrix of each steady state solution. Two reference cases of an adiabatic CSTR and a homogenous azeotropic distillation from literature are studied

which successfully validate the reliability of the proposed approach. Besides the multiple steady states and Hopf bifurcation points

a more complex homoclinic bifurcation behavior is found for the distillation case compared to literature.

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