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Separations
Computing multiple steady states in homogeneous azeotropic and ideal two-product distillation
Article first published online: 9 JUL 2010
DOI: 10.1002/aic.12362
Copyright © 2010 American Institute of Chemical Engineers (AIChE)
Additional Information
How to Cite
Baharev, A., Kolev, L. and Rév, E. (2011), Computing multiple steady states in homogeneous azeotropic and ideal two-product distillation. AIChE J., 57: 1485–1495. doi: 10.1002/aic.12362
Publication History
- Issue published online: 5 MAY 2011
- Article first published online: 9 JUL 2010
- Accepted manuscript online: 9 JUL 2010 12:00AM EST
- Manuscript Revised: 19 JUN 2010
- Manuscript Received: 21 MAR 2010
- Abstract
- Article
- References
- Cited By
Keywords:
- interval methods;
- output multiplicities;
- multiple solutions;
- bifurcation;
- MSS
Abstract
Multiple steady states are typically discovered by tracing a solution path, including turning points. A new technique is presented here that does not follow this approach. The original problem is solved directly, without tracing a solution path. The proposed branch-and-prune algorithm is guaranteed to find all solutions automatically. Core components of the framework are affine arithmetic, constraint propagation, and linear programming. The C++ implementation is available as an open-source solver and has an interface to the AMPL® modeling environment. In certain difficult cases, only continuation methods have been reported to find the unstable solution automatically. The proposed method seems to be the first published alternative method in those cases. Although this article focuses mainly on distillation, the presented framework is fairly general and applicable to a wide variety of problems. Further, computational results are given to demonstrate this. © 2010 American Institute of Chemical Engineers AIChE J, 2011