Abstract
Abstract Flowsheeting can be represented by solving a system of nonlinear algebraic equations. The equation-oriented (EO) approach is an important method of process flowsheeting. The EO model, however, can be difficult to solve simultaneously because of the complexity caused by large-scale equations. In this study, a scheme based on the digraph method and Grobner basis is proposed to simplify EO models. By depicting an EO model as a digraph, the equations to be simultaneously solved form a loop in the digraph. To simplify the solving of an EO model, finding the digraph with the least loops is recommended. Topological sorting, depth-first traversal, and back-off-edge judgement are introduced to evaluate the digraph structure. The Grobner basis, an important symbolic computation approach, is used to further eliminate simultaneous equations or indifferent intermediate variables. A representative numerical case study illustrates that the proposed method efficiently reduces the computation cost of EO models.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
