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A New Homotopy-Based Strategy for the Robust Determination of All the Feasible Solutions for CSTR Systems
- Source :
- Periodica Polytechnica Chemical Engineering. 60:8-23
- Publication Year :
- 2016
- Publisher :
- Periodica Polytechnica Budapest University of Technology and Economics, 2016.
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Abstract
- A new homotopy-based strategy is presented that can be used in the robust determination of multiple steady-state solutions for continuous stirred tank reactor (CSTR) systems. The strategy relies on the features of homotopy parameter and variables bounding, and requires only that one feasible solution of the system is either known beforehand or can be solved with an existing solving algorithm. The strategy systematically results in all the multiple solutions, or alternatively confirms that the problem does not have multiple solutions, within the predefined problem domain. The strategy was successfully demonstrated with CSTR cases gathered from the literature. Finding all the feasible solutions was verified in simple CSTR systems by applying tools available in the literature. Variables bounding constrained the homotopy path to travel only within the pre-defined variable domain. The strategy is applicable for determining multiple steady states for a variety of chemical engineering systems.
- Subjects :
- Path (topology)
Mathematical optimization
General Chemical Engineering
Computation
Homotopy
Continuous stirred-tank reactor
02 engineering and technology
021001 nanoscience & nanotechnology
020401 chemical engineering
Bounding overwatch
Variable domain
Simple (abstract algebra)
Problem domain
0204 chemical engineering
0210 nano-technology
Subjects
Details
- ISSN :
- 15873765 and 03245853
- Volume :
- 60
- Database :
- OpenAIRE
- Journal :
- Periodica Polytechnica Chemical Engineering
- Accession number :
- edsair.doi...........035045fdf105631ed0142101e73c961f