Reconciliation of Process Flow Rates when Measurements Are Subject to Detection Limits:  The Bilinear Case

In this paper we generalize the fundamental methods of process data reconciliation developed by Crowe (AIChE J. 1986, 32, 616−623), to allow for the presence of censored concentration measurements in the bilinear mass balance equations. The resulting statistical analysis leads to the maximization of...

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Bibliographic Details
Published in:Industrial & engineering chemistry research 1999-07, Vol.38 (7), p.2861-2866
Main Authors: Dovì, V. G, Del Borghi, A
Format: Article
Language:English
Subjects:
Applied sciences
Chemical engineering
Exact sciences and technology
Metrology, automation
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Summary:In this paper we generalize the fundamental methods of process data reconciliation developed by Crowe (AIChE J. 1986, 32, 616−623), to allow for the presence of censored concentration measurements in the bilinear mass balance equations. The resulting statistical analysis leads to the maximization of a general likelihood function subject to linear constraints. The difference with respect to both Crowe's analysis and a previous algorithm that considered only linear mass balances (Dovì et al. Chem. Eng. Sci. 1997, 52 (17), 3047−3050) is considered, and an example is examined for illustration purposes.
ISSN:0888-5885
1520-5045
DOI:10.1021/ie980726s