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The utility of Bayesian data reconciliation for separations

Journal Article · · Minerals Engineering
 [1];  [2]
  1. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Los Alamos National Lab: CCS-6
  2. Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
Data reconciliation methods for separation processes typically rely on classical statistical approaches to generate estimates of true mass flow rates from measurements. Knowledge regarding the uncertainty of these estimates has value in decision making, but is often not acquired. Bayesian approaches intrinsically quantify uncertainty; however, literature for Bayesian data reconciliation of separation processes is scarce. This publication outlines two Bayesian data reconciliation models and provides details for how the models were implemented for the BayesMassBal (V 1.0.0) software package written in R. To demonstrate the advantages of this approach for data reconciliation, the models were first applied to simulated data and then compared to a classical model through a Monte Carlo experiment. In this example, the Bayesian models were found to provide more accurate estimates of the simulated data, while also providing quantitative information on the estimate uncertainty. To demonstrate the use of the technique in a practical problem, the models were also applied to real data collected from a pilot-scale rare earth solvent extraction process. Here, this publication provides a small window into how Bayesian methods can be used for data reconciliation, but findings suggest Bayesian data reconciliation models for separation processes have distinct advantages over classical alternatives.
Research Organization:
West Virginia Univ., Morgantown, WV (United States)
Sponsoring Organization:
USDOE Office of Fossil Energy (FE)
Contributing Organization:
Virginia Polytechnic Inst. and State Univ. (Virginia Tech)
Grant/Contract Number:
FE0026927
OSTI ID:
1908190
Journal Information:
Minerals Engineering, Journal Name: Minerals Engineering Vol. 169; ISSN 0892-6875
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (18)

Analytical estimator of measurement error variances in data reconciliation journal March 1992
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Recursive bilmat algorithm: An on-line extension of data reconciliation techniques for steady-state bilinear material balance journal September 1994
Making best use of model evaluations to compute sensitivity indices journal May 2002
Robust estimation of measurement error variance/covariance from process sampling data journal February 1997
Flowsheet simulation of solids processes journal January 2008
A general framework for data reconciliation—Part I: Linear constraints journal April 2015
Dynamic data reconciliation: Alternative to Kalman filter journal June 2006
Selecting proper uncertainty model for steady-state data reconciliation – Application to mineral and metal processing industries journal October 2014
The Monte Carlo Method journal September 1949
Science and Statistics journal December 1976
Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models) journal September 1989
Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling journal December 1990
Blind Deconvolution via Sequential Imputations journal June 1995
Bayes Factors journal June 1995
Marginal Likelihood from the Gibbs Output journal December 1995
The Selection of Prior Distributions by Formal Rules journal September 1996
Prior distributions for variance parameters in hierarchical models (comment on article by Browne and Draper) journal September 2006

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