Application of the entropy information for the optimization of an additional measurements location in thermal systems

• Autorzy: Szega M.
• Języki publikacji: EN

Abstrakty

EN

For the optimal location of an additional surplus measurements in the design of redundant measurements system, from data reconciliation point of view, of thermal processes, an information entropy has been applied. The relative entropy - Kullback-Leibler divergence, has been used. As a criterion of the optimal location of an additional surplus measurements in a system of measurements data, the minimum of the entropy information of reconciled measurements data has been assumed. Hence, the objective function in the described optimization task is maximum of the relative entropy - Kullback-Leibler divergence concerning sets of raw and reconciled measurements data. Simulation calculation with application of data reconciliation algorithm and Monte Carlo method concerning the influence of installation of the additional surplus measurements on decrease of entropy information of measurements after data validation have been carried out. The example calculations concerned the cross high-pressure heat regeneration system with cascade flow of condensate installed in 153 MW power unit equipped with cooler of steam are presented. Calculations for all variants of configurations of an additional surplus measurements in the analyzed thermal system have been done. Usefulness of the proposed Kullback-Leibler divergence as a objective function has been demonstrated.

Słowa kluczowe

EN

data reconciliation; information entropy; optimal set of measurements; thermal processes

PL

entropia informacji; optymaIne częstotliwości pomiarowe; proces cieplny; rachunek wyrównawczy

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2011
• Tom: Vol. 32, no. 3
• Strony: 215--229
• Opis fizyczny: Bibliogr. 14 poz.,

Twórcy

autor

Szega M.

• Silesian University of Technology, Institute of Thermal Engineering, Konarskiego 22, 44-101 Gliwice, Poland,

Bibliografia

• [1] Guide to the Expression of Uncertainty in Measurement. International Organization for Standardization, 1995. Polish edn., Zakład Metrologii Ogólnej Głównego Urzędu Miar, 1999.
• [2] BAGAJEWICZ M.J.: Process Plant Instrumentation: Design and Upgrade. Technomic Publishing Company, Inc. Lancaster 2001.
• [3] ALHÉRITIÈRE C., THORNHILL N., FRASER S., KNIGHT M.: Evaluation of the contribution of refinery process data to performance measures. AIChE Annual Meeting, Los Angeles 1997.
• [4] MADRON. F. VEVERKA V.: Optimal selection of measuring points in complex plants by linear models. AIChE J. 38(1992), 2, 227.
• [5] SZEGA M.: Application of the data reconciliation algorithm in optimization of measurements location for calculation of thermal capacity of a steam boiler. Rynek Energii 87(2010),2 149–153 (in Polish).
• [6] SZARGUT J. et al.: Reconciliation Calculus in Thermal Engineering. Polish Academy of Sciences, Ossolineum Publisher, Wrocław 1984 (in Polish).
• [7] SZARGUT J., KOLENDA Z., STYRYLSKA T.: Justification of measurement results in thermal technology. In: Proceedings of the International Conference ECOS’96. Stockholm 1996, 413–418.
• [8] VDI-Richtlinien.: Uncertainties of Measurement During Acceptance Tests on Energy Conversion and Power Plants. Fundamentals, Part 1. VDI 2048, October 2000.
• [9] SZEGA M.: Advantages of an application of the generalized method of data reconciliation in thermal technology. Archives of Thermodynamics 30(2009), 4, 219–232.
• [10] SZEGA M.: Application of Data Reconciliation Method for Increase of Measurements Reliability in the Power Unit System of a Steam Power Plant. Monograph No. 193, Silesian University of Technology Publisher, Gliwice 2009 (in Polish).
• [11] SHANNON C.E.: A mathematical theory of communication. The Bell System Technical J. 27(1948), 379–423, 623–656.
• [12] KULLBACK S., LEIBLER R.A.: On information and sufficiency. Annals of Mathematical Statistics 22(1951), 1, 79–86.
• [13] GREŃ J.: Mathematical Statistics. Model’s and Problem’s, 7th edn. PWN, Warsaw 1984 (in Polish).
• [14] StatSoft, Inc. (2010). STATISTICA (data analysis software system), version 9.1. www.statsoft.com.