TY - JOUR
T1 - Valid parameter range analyses for chemical reaction kinetic models
AU - Song, Jing
AU - Stephanopoulos, George
AU - Green, William H.
N1 - Funding Information:
The authors would like to thank Dr. J. M. Grenda of ExxonMobil for very helpful discussions. The authors are also grateful to Dr. I. P. Androulakis of ExxonMobil for sharing results with us prior to publication. The authors acknowledge financial support from Alstom Power, the National Science Foundation, and the US Department of Energy under contract DE-FG02-98ER14914.
PY - 2002/11/4
Y1 - 2002/11/4
N2 - The present work quantifies the relations between the structure of a chemical reaction kinetic model, its valid parameter range, and the truncation error tolerance of the model. General methods are presented to solve the three important problems of valid parameter range analysis: (1) identification of the valid parameter range of a kinetic model, (2) estimation of the error tolerance required when applying a kinetic model over a specified parameter range, and (3) improvement of existing model generation algorithms to construct more robust models. Finally, the relationship between a model's structure, its valid parameter range, and the truncation error tolerance are illustrated by the flexibility-tolerance-model graph. The new methods are applied to pyrolysis of methane/ethane mixtures.
AB - The present work quantifies the relations between the structure of a chemical reaction kinetic model, its valid parameter range, and the truncation error tolerance of the model. General methods are presented to solve the three important problems of valid parameter range analysis: (1) identification of the valid parameter range of a kinetic model, (2) estimation of the error tolerance required when applying a kinetic model over a specified parameter range, and (3) improvement of existing model generation algorithms to construct more robust models. Finally, the relationship between a model's structure, its valid parameter range, and the truncation error tolerance are illustrated by the flexibility-tolerance-model graph. The new methods are applied to pyrolysis of methane/ethane mixtures.
KW - Kinetics
KW - Mathematical modeling
KW - Numerical analysis
KW - Reaction engineering
KW - Sensitivity analysis
KW - Valid parameter range analysis
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U2 - 10.1016/S0009-2509(02)00416-5
DO - 10.1016/S0009-2509(02)00416-5
M3 - Article
AN - SCOPUS:0037020571
SN - 0009-2509
VL - 57
SP - 4475
EP - 4491
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 21
ER -