首页 | 本学科首页   官方微博 | 高级检索  
     

Development of a bifurcation analysis approach based on gPROMS platform☆
引用本文:Xueqing Kang,Hongye Cheng,Liwei Tong,Lifang Chen,Zhiwen Qi. Development of a bifurcation analysis approach based on gPROMS platform☆[J]. 中国化学工程学报, 2016, 24(12): 1742-1749. DOI: 10.1016/j.cjche.2016.05.025
作者姓名:Xueqing Kang  Hongye Cheng  Liwei Tong  Lifang Chen  Zhiwen Qi
作者单位: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
基金项目:the National Natural Science Foundation of China(21576081),Major State Basic Research Development Program of China(2012CB720502),111 Project(B08021)
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  
收稿时间:2015-09-20

Development of a bifurcation analysis approach based on gPROMS platform
Xueqing Kang,Hongye Cheng,Liwei Tong,Lifang Chen,Zhiwen Qi. Development of a bifurcation analysis approach based on gPROMS platform[J]. Chinese Journal of Chemical Engineering, 2016, 24(12): 1742-1749. DOI: 10.1016/j.cjche.2016.05.025
Authors:Xueqing Kang  Hongye Cheng  Liwei Tong  Lifang Chen  Zhiwen Qi
Affiliation: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
Abstract:A bifurcation analysis approach is developed based on the process simulator gPROMS platform, which can auto-matical y trace a solution path, detect and pass the bifurcation points and check the stability of solutions. The arc-length 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 functionτwhich 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 ma-trix of each steady state solution. Two reference cases of an adiabatic CSTR and a homogenous azeotropic distil-lation 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 distil ation case compared to literature.
Keywords:Multiple steady states  Bifurcation analysis  Continuation algorithm  gPROMS
本文献已被 CNKI 万方数据 等数据库收录!
点击此处可从《中国化学工程学报》浏览原始摘要信息
点击此处可从《中国化学工程学报》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号