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Article Dans Une Revue AIChE Journal Année : 2005

Mass balance equilibration: a robust approach using contaminated distribution

Résumé

The problem of obtaining reliable estimates of the state of a process is a fundamental objective in process supervision, these estimates being used to understand the process behaviour. Measurements are collected in order to know, at each time, the behaviour of the process and give a way to verify if its functioning is those that has been defined and given by the user. For that purpose, a wide variety of techniques has been developed to perform what is currently known as data reconciliation: the underlying idea is to check if the measurements fulfil the model of the process and, if it is not the case, to analyse what are the noises affecting the measurements and finally to correct the measurements. Unfortunately, the measurements may be unknowingly corrupted by gross errors which effects are added to those of the noise. As a result, the data reconciliation procedure can give rise to absurd results and the estimated variables are corrupted by this bias. Several schemes have been suggested to cope with the corruption of normal assumption of the errors by detecting a priori or a posteriori gross errors. Among them, an approach consists to take into account the non ideality of the measurement error distribution using an objective function constructed on contaminated error distribution. This approach has been developed for data reconciliation and has been tested on several applications. In this paper, we restrict our analysis to processes described by linear and bilinear mass balance equations. However, despite this limitation, this kind of models are of current use because they allow to describe total mass and partial mass balances. In the following, we adopt and develop the using of contaminated data distribution for the data reconciliation problem. Section 2 is devoted to shortly recall the background of data reconciliation problem. In Section 3, the proposed robust data reconciliation method is developed. It is thereafter illustrated through an academic example in Section 4.

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Autre

Dates et versions

hal-00009001 , version 1 (22-09-2005)

Identifiants

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José Ragot, Mohammed Chadli, Didier Maquin. Mass balance equilibration: a robust approach using contaminated distribution. AIChE Journal, 2005, 51 (5), pp.1569-1575. ⟨10.1002/aic.10412⟩. ⟨hal-00009001⟩
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