Development of a bifurcation analysis approach based on gPROMS platform

doi:10.1016/j.cjche.2016.05.025

›› 2016, Vol. 24 ›› Issue (12): 1742-1749.DOI: 10.1016/j.cjche.2016.05.025

• Process Systems Engineering and Process Safety • 上一篇下一篇

Development of a bifurcation analysis approach based on gPROMS platform

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

Max Planck Partner Group at the State Key Laboratory of Chemical Engineering, School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China

收稿日期:2015-09-20 修回日期:2016-03-07 出版日期:2016-12-28 发布日期:2017-01-04
通讯作者: Zhiwen Qi,E-mail address:zwqi@ecust.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China (21576081), Major State Basic Research Development Program of China (2012CB720502), and 111 Project (B08021).

Development of a bifurcation analysis approach based on gPROMS platform

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

Max Planck Partner Group at the State Key Laboratory of Chemical Engineering, School of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China

Received:2015-09-20 Revised:2016-03-07 Online:2016-12-28 Published:2017-01-04
Supported by:
Supported by the National Natural Science Foundation of China (21576081), Major State Basic Research Development Program of China (2012CB720502), and 111 Project (B08021).

摘要/Abstract

摘要： 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.

关键词: Multiple steady states, Bifurcation analysis, Continuation algorithm, gPROMS

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.

Key words: Multiple steady states, Bifurcation analysis, Continuation algorithm, gPROMS

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.

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Development of a bifurcation analysis approach based on gPROMS platform

Development of a bifurcation analysis approach based on gPROMS platform

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