“Systematic Analysis of Parameter Identifiability for Improved Fitting of a Biological Wastewater Model to Experimental Data” Authors: Cristina Sarmiento Ferrero, Qian Chai, Marta D. Díez, Sverre H. Amrani and Bernt Lie Affiliation: Telemark University College, Hydro Corporate Research Centre (Porsgrunn), BioTek AS (Porsgrunn) Reference: 2006, Vol. 27, No. 4, pp. 219-238.

Keywords: ASM2d, identifiability analysis, parameter estimation, model fitting

Abstract: In this paper, a general description of wastewater treatment based on activated sludge is given, with emphasis on the ASM2d model. Particular emphasis has been given to make the presentation readable without a too detailed prior knowledge of wastewater treatment. Next, a method for experimental parameter identifiability analysis is described. After a presentation of the wastewater treatment plant at Duvbacken in Gävle, Sweden, the experimental identifiability of the dynamic model is analyzed. Out of the 45 original parameters in the model, the analysis indicates that with the given experimental conditions, 12 parameters can be identified.

PDF (219 Kb)        DOI: 10.4173/mic.2006.4.2

DOI forward links to this article:
[1] Bernt Lie David Di Ruscio Rolf Ergon Bjørn Glemmestad Maths Halstensen Finn Haugen Saba Mylvaganam Nils-Olav Skeie Dietmar Winkler, (2009), doi:10.4173/mic.2009.3.4


References:
[1] BAILEY, J. E. and OLLIS, D. F. (1986). Biochemical Engineering Fundamentals, second edn, McGraw-Hill, New York.
[2] BARD, Y. (1974). Nonlinear Parameter Estimation, Academic Press, New York.
[3] BECK, J. V. and ARNOLD, K. J. (1977). Parameter Estimation in Engineering and Science, Wiley, New York.
[4] BELSLEY, D. A. (1991). Conditioning Diagnostics. Collinearity and Weak Data in Regression, John Wiley and Sons, New York.
[5] BRUN, R., KÜHNI, M., SIEGRIST, H., GUJER, W. and REICHERT, P. (2002). ‘Practical identifiability of ASM2d parameters - systematic selection and tuning of parameter subsets’, Water Research 36(16), 4113 - 4127, doi:10.1016/S0043-1354(02)00104-5
[6] BRUN, R., REICHERT, P. and KÜNSCH, H. R. (2001). ‘Practical identifiability analysis of large environmental simulation models’, Water Resour. Res. 37(4), 1015 - 1030, doi:10.1029/2000WR900350
[7] DUENAS DIEZ, M., FJELD, M., ANDERSEN, E. and LIE, B. (2006). ‘Validation of a compartmental population balance model of an industrial leaching process: The Silgrain(R) process’, Chem. Engng. Sci. 61, 229 - 245, doi:10.1016/j.ces.2005.01.047
[8] HENZE, M., GUJER, W., MINO, T., MATSUO, T., WENTZEL, M. C., MARAIS, G. V. R. and VAN LOOSDRECHT, M. C. M. (1999). ‘Activated sludge model no. 2d, ASM2D’, Wat. Sci. Tech. 39(1), 165 - 182, doi:10.1016/S0273-1223(98)00829-4
[9] HENZE, M., GUJER, W., VAN LOOSDRECHT, M. C. M. and MINO, T. (2000). Activated Sludge Models ASM1, ASM2, ASM2d and ASM3., Vol. 9 of Scientific and Technical Report, IWA Publishing.
[10] HENZE, M., HARREMOËS, P., LA COUR JANSEN, J. and ARVIN, E. (1996). Wastewater Treatment. Biological and Chemical Processes, second edn, Springer, Berlin.
[11] HOLMBERG, A. (1982). ‘On the parameter identifiability of microbial growth models incorporating michaelesmenten type nonlinearities’, Math. Biosci. 62, 23 - 43, doi:10.1016/0025-5564(82)90061-X
[12] JEPPSON, U. (1993). On the verifiability of the activated sludge system dynamics, Tekn. lic. dissertation, Lund Institute of Technology.
[13] LJUNG, L. (1999). System Identification. Theory for the User, second edn, Prentice Hall, Upper Saddle River, New Jersey.
[14] LJUNG, L. and GLAD, S. T. (1994). ‘On global identifiability for arbitrary model parameterizations’, Automatica 30(2), 265 - 276, doi:10.1016/0005-1098(94)90029-9
[15] METCALF and EDDY, I. (2003). Wastewater Engineering. Treatment and Reuse, fourth edn, McGraw Hill, New York.
[16] OLSSON, G. and NEWELL, B. (1999). Wastewater Treatment Systems. Modelling, Diagnosis and Control, IWA Publishing, London.
[17] POHJANPALO, H. (1978). ‘System Identifiability Based on the Power Series Expansion of the Solution’, Mathematical Biosciences 41, 21 - 33, doi:10.1016/0025-5564(78)90063-9
[18] RAWLINGS, J. B. and EKERDT, J. G. (2002). Chemical Reactor Analysis and Design Fundamentals, Nob Hill Publishing, Madison, Wisconsin.
[19] SMITH, W. R. and MISSEN, R. W. (1991). Chemical Reaction Equilibrium Analysis: Theory and Algorithms, Krieger Publishing Company, Malabar, Florida.
[20] SÖDERSTRÖM, T. and STOICA, P. (1989). System Identification, Prentice Hall International.
[21] STEWART, G. (1987), ‘Collinearity and least squares regression’, Statistical Science 2(1), 68 - 84, doi:10.1214/ss/1177013439
[22] WALTER, E. and PRONZATO, L. (1997). Identification of Parametric Models from Experimental Data, Springer.


BibTeX:
@article{MIC-2006-4-2,
  title={{Systematic Analysis of Parameter Identifiability for Improved Fitting of a Biological Wastewater Model to Experimental Data}},
  author={Sarmiento, Cristina Ferrero and Chai, Qian and Díez, Marta D. and Amrani, Sverre H. and Lie, Bernt},
  journal={Modeling, Identification and Control},
  volume={27},
  number={4},
  pages={219--238},
  year={2006},
  doi={10.4173/mic.2006.4.2},
  publisher={Norwegian Society of Automatic Control}
};