The application of information theory to the process of nitrogen compounds reduction from sewage

• Autorzy: Masiuk S. , Rakoczy R.
• Języki publikacji: EN

Abstrakty

EN

The paper describes statistical and information methods of nitrogen compounds reduction from sewage in a treatment plant. These methods enable the formulation of the correlation and spectral density functions, as well as, information entropy of the input and output signals obtained simultaneously. The entropy method is based on the experimental data distribution in the cross-section of the stochastic processes at different moments of time. These distributions suggest the use of the normal distribution which permits easy calculation of the maximum entropy. The results of the power frequency characteristics of the nitrogen compounds reduction from the database containing the concentration and entropy spectral density obtained with these methods are presented and compared.

Słowa kluczowe

EN

correlation analysis; spectral density analysis; entropy; frequency transfer function

PL

analiza korelacyjna; analiza widmowa; entropia; oczyszczanie ścieków; funkcja przejścia

• Wydawca: West Pomeranian University of Technology. Publishing House
• Czasopismo: Polish Journal of Chemical Technology
• Rocznik: 2006
• Tom: Vol. 8, nr 1
• Strony: 67--78
• Opis fizyczny: Bibliogr. 23 poz., tab., rys.

Twórcy

autor

Masiuk S.

autor

Rakoczy R.

• Szczecin University of Technology, Institute of Chemical Engineering and Environmental Protection, al. Piastów 42, 71-065 Szczecin,

Bibliografia

• (1) Papaulis A.: Random Variables, Stochastic Processes. 1965, McGraw-Hill, New York.
• (2) Peebles P. Z.: Probability, Random Variables and Random Signal Principles. 1993, McGraw-Hill, New York.
• (3) Gardner W. A.: Introduction to Random Processes with Applications to Signals and Systems. 1986, McMillan, New York.
• (4) Murrill P. W., Pike R. W, Smith C. L.: Random inputs yield systems transfer functions. Chem. Eng., 1969, 76, 151.
• (5) Itskovich E. L., Tsaturova T. A.: Correlation and cross-correlation functions of random stationary processes: method of experimental evaluation. Second Prague IFAC Symposium on Identification and Process Parameter Estimation, Czechoslovakia, 1970, 9.9, 15-20 June, 1-12.
• (6) Korn G. A., Korn T. M.: Mathematical Handbook for Scientists and Engineers, Definitions, Theorems and Formulas for References and Review. 1961, MacGraw-Hill Book Company, New York, Toronto, London.
• (7) Shannon S. E.: A mathematical theory of communication. The Bell System Technical Journal, 1948, 27, 379 and 623.
• (8) Stręk F.: Mieszanie i mieszalniki. 1981, WNT, Warszawa.
• (9) Hobler T., Stręk F.: Efektywność mieszania cieczy. 1959, Chem. Stosowana, III, 2, 143.
• (10) Ogawa K., Ito S.: A definition of quality of mixedness. J. Chem. Eng. Jpn., 1975, 8(2), 148.
• (11) Ogawa K., Inoue I.: A new definition of quality of mixedness for multicomponents batch mixing, 8th International Congress CHISA'84, Section Powder Technology, Pap.V3.56, Prague, 3-7 September 1984.
• (12) Ogawa K., Ito S., Matsumara Y.: Mixing rate in a stirred vessel, J. Chem. Eng. J., 1980, 13(4), 324.
• (13) Levitin L. B.: Conditional Entropy and information in quantum systems. Chaos, Solutions & Fractals, 1990, 10, 10, pp. 1651.
• (14) Sobczyk K.: Information dynamics: premises, challenges and results. Mechanical Systems and Signal Processing, 2001, 15(3), 457.
• (15) Wang W. J., Chiu Ch. H.: Entropy and information energy for fuzzy sets. Fuzzy Sets and Systems, 1999, 108, 333.
• (16) Zainetdinov R. I.: Dynamics of informational entropy associated with self- organization process in open systems. Chaos, Solutions & Fractals, 1999, 10, 9, 1425.
• (17) Zhukov V., Mizonov V., Filitchev P., Bernotat S.: The modelling of grinding processes by means of the principle of maximum entropy. Powder Technology, 1998, 95, 248.
• (18) Masiuk S., Rakoczy R.: The entropy criterion for the homogenisation process in a multi-ribbon blender. Chemical Engineering and Processing, 2006, 45, 6, 500.
• (19) Masiuk S., Rakoczy R.: Entropically averaged mathematical model of the reduction suspension process in the functioning sewage-treatment plant. 15th International Conference on Process Control, 7 - 10 June 2005, Strabske Pleso, Slovakia (CD-ROM paper 076f).
• (20) Chapman D.: Water quality assessments, 1996, 2nd Ed., Publ E&FN Spon, London.
• (21) Rajbman N. S.: The application of identification methods in the U.S.S.T. - a survey, Automatica, 1976, 12, 73.
• (22) Lenov J. P., Lipatov L. N.: Statistical methods of determining process dynamic characteristic with noises and analysis of random process with infra-low frequencies. Automat. Remote Control, 1960, 21(2), 180.
• (23) Gardner W. A.: Introduction to random process with applications to signals and systems, 1986, McMillan, New York.