Application of the PExSim package in identification of multi-dimensional model of a waste water treatment plant

• Autorzy: Stachura M.

Warianty tytułu

PL

Zastosowanie pakietu PExSim do identyfikacji wielowymiarowego modelu oczyszczalni ścieków

• Języki publikacji: EN

Abstrakty

EN

This paper presets a modern approach to the modelling of multi-dimensional industrial processes. A proposed methodology is focused on processes working in more or less complex technology environment and integrates different approaches for simulation of components of the investigated systems. It is realized in form of the elastic programmable software package. This kind of approach includes an application of mathematical models (derived from physical relations, parametric or others) implemented in a relevant software, that allows us to prepare simulations so as to explore process behaviours in many situations, especially critical ones. The key issue of this type of approach is to prepare a model that would approximate a process dynamics with a satisfactory quality. Therefore, in this paper the problem of fitting physical models described by a set of ordinary differential equations is considered. This type of models have a set of unknown parameters that have to be estimated so as a model could properly mimic and predict the process. A tool for optimizing models prepared in the PExSim is described and its capabilities are presented. At last, an application of the PExSim in modelling of industrial processes and models optimization is presented with the help of an example of a waste water treatment process. Furthermore, some procedures of the complex models optimization are proposed. As the final result of an optimization a waste water treatment process model is achieved. Example results for selected concentrations of contamination in treated sludge are presented.

PL

W artykule przedstawiono nowoczesne podejście do modelowania wielowymiarowych procesów przemysłowych oraz metod optymalizacji utworzonych modeli. W treści opisano narzędzia umożliwiające modelowanie oraz optymalizację wraz z przykładem ich zastosowania. Istotą prezentowanego podejścia jest możliwość elastycznego dostosowywania utworzonych pakietów programowych do potrzeb użytkownika.

Słowa kluczowe

EN

PExSim; modelling; model optimization

PL

PExSim; modelowanie; optymalizacja modeli

• Wydawca: Wydawnictwo PAK
• Czasopismo: Pomiary Automatyka Kontrola
• Rocznik: 2009
• Tom: R. 55, nr 3
• Strony: 156--159
• Opis fizyczny: Bibliogr. 16 poz., rys., wzory

Twórcy

autor

Stachura M.

• Instytut Automatyki i Robotyki, Politechnika Warszawska,

Bibliografia

• [1] Janiszowski K., Wnuk P. PExSim - Novel Approach to Problem of Investigation of Complex Dynamic Systems in Industrial Environment, Problemy eksploatacji 4/2006.
• [2] Stachura M. (2008) Application of AMandD System in Modelling of Selected Waste Water Treatment Processes, Simulation in den Umwelt and Geowissenshaft Workshop, Zurich (to be published - March 2008).
• [3] Wnuk P.: Object Identification in AMandD System. Pomiary Automatyka, Kontrola, 2005 (in Polish).
• [4] Luenberger D. G. Optimization by Vector Space Methods, John Wiley and Sons, Inc, New York 1974.
• [5] Findeisen W., Szymanowski J., Wierzbicki A., Theory and Numerical Examples of Optimization, PWN, Warsaw, 1977 (in Polish).
• [6] Mathews J.: Numerical Methods for Mathematics, Science and Engineering. Prentice Hall, Upper Saddle River 1992.
• [7] Press W., Teukolsky S., Vetterling W., Flannery B.: Numerical Recipes in C. Cambridge University Press, Cambridge 1992.
• [8] Kennedy J., Russel C., Shi Y., Swarm Intelligence, Academic Press, San Diego 2001.
• [9] Grady L, Daigger G., Lim H, Biological Wastewater Treatment. Marcel Dekker, New York 1999.
• [10] Henze M., Gujer W., Mino T., Loosdrecht M., Activated Sludge Models, IWA Publishing, London, 2000.
• [11] Studzinski J. Identification, Simulation and Control of Wastewater Treatment Plants, Systems Research Institute Publication, Warsaw 2004 (in Polish).
• [12] Szetela W. (1990).: Dynamic Model of Waste Water Treatment Plant with Activated Sludge. Wydawnictwo Politechniki Wrocławskiej (in Polish).
• [13] Bogdan L., Łomotowski L, Nahorski Z., Studziński J., Szetela R. Modelling and Calibration of a Municipal Wastewater Treatment Process Model. Systems Science, 2/2000.
• [14] Bogdan L., Łomotowski J., Nahorski Z., Studziński J., Szetela R: Mathematic Modeling of Purification Processes in Mechanical - Biological Waste Water Treatment Plant. Gutenbaum J. (red.) Automatyka, Sterowanie, Zarzadzanie. Systems Research Institute Publication, Warsaw 2002 (in Polish).
• [15] Petersen B., Gemaey K., Henze M., Vanrolleghem P.A., Evaluation of an ASM I Model Calibration Procedure on a Municipal-Industrial Wastewater Treatment plant. Journal of Hydro-informatics 4 (1) p. 15-38.
• [16] Stachura M. Modeling and Optimization of Selected Waste Water Treatment Processes, Systems Research Institute Publication, Warsaw 2008 (in Polish).