Title: Application of the data validation and reconciliation method in the exergy analysis of technological processes

Authors: Bożena Boryczko; Adam Hołda; Michał Dudek; Zygmunt Kolenda

Addresses: Department of Metal Working and Physical Metallurgy of Non-ferrous Metals, Faculty of Non-ferrous Metals, AGH – University of Science and Technology in Kraków, Mickiewicza 30, 30-059 Kraków, Poland ' Department of Fundamental Research in Energy Engineering, Faculty of Energy and Fuels, AGH – University of Science and Technology in Kraków, Mickiewicza 30, 30-059 Kraków, Poland ' Department of Fundamental Research in Energy Engineering, Faculty of Energy and Fuels, AGH – University of Science and Technology in Kraków, Mickiewicza 30, 30-059 Kraków, Poland ' Department of Fundamental Research in Energy Engineering, Faculty of Energy and Fuels, AGH – University of Science and Technology in Kraków, Mickiewicza 30, 30-059 Kraków, Poland

Abstract: One of the main tasks of the exergy analysis of real physical and chemical processes is to detect, quantify and calculate exergy losses, which closes the exergy balance equation. Exergy balance equations contain directly measurable variables, which are known with measurement errors and when applied to principal chemical elements lead to the system of nonlinear equations. Usually, the number of equations is greater than the number of unknowns (not directly measured quantities) and because of inevitable measurement errors, the system of equations is not exactly satisfied. The measured quantities must be corrected to satisfy required energy and exergy balances. Such a correction is called data validation and reconciliation. Neglecting this process can lead to incorrect energy and exergy losses calculation. In this paper, the mathematical methods of correction of measurement results based on the least squares method are proposed.

Keywords: data reconciliation; model validation; least squares method; mass; energy and exergy balances; entropy generation.

DOI: 10.1504/IJEX.2021.113847

International Journal of Exergy, 2021 Vol.34 No.3, pp.315 - 330

Received: 27 Dec 2019
Accepted: 12 Jul 2020
Published online: 31 Mar 2021 *

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