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Development of a Numerically Efficient Biodiesel Decanter Simulator

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Part of the book series: CIM Series in Mathematical Sciences ((CIMSMS,volume 4))

Abstract

This chapter deals with the modelling, simulation, and control of a separator unit used in the biodiesel industry. While mechanistic modelling provides an accurate way to describe the system dynamics, it is an iterative and computationally burdensome process that arises from the need to determine the liquid-liquid equilibria via the flash calculation. These disadvantages would preclude the use of mechanistic models for process optimization or model based control. In order to overcome this problem, an alternative strategy is here suggested. It consists of maintaining the mechanistic model structure and to approximate the iterative calculations with an artificial neural network. The general approach for dataset consideration and neural network training and validation are presented. The quality of the resulting neural network is demonstrated to be high while the computation burden is significantly reduced. Finally, the obtained grey-box model is used in order to carry out dynamic simulation and control tests of the unit.

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Notes

  1. 1.

    Note that the molar fraction of the ester is linearly dependent of the molar fractions of the two other components.

References

  1. Bambase, M., Nakamura, N., Tanaka, J., Matsumura, M.: Kinetics of hydroxide-catalyzed methanolysis of crude sunflower oil for the production of fuel-grade methyl esters. J. Chem. Technol. Biotechnol. 82(3), 273–280 (2007). doi:10.1002/jctb.1666

    Article  Google Scholar 

  2. Bell, B.M.: CppAD: a package for C++ algorithmic differentiation. Computational Infrastructure for Operations Research COIN-OR (http://www.coin-or.org/CppAD) (2012)

  3. Biegler, L.: Real-Time PDE-Constrained Optimization. Computational Science and Engineering. Society for Industrial and Applied Mathematics, Philadelphia (2007)

    Book  MATH  Google Scholar 

  4. Bishop, C.: Neural Networks for Pattern Recognition. Clarendon Press, Oxford (1995)

    Google Scholar 

  5. Brásio, A.S., Romanenko, A., Santos, L.O., Fernandes, N.C.: Modeling the effect of mixing in biodiesel production. Bioresour. Technol. 102(11), 6508–6514 (2011). doi:10.1016/j.biortech.2011.03.090

    Article  Google Scholar 

  6. Brásio, A.S., Romanenko, A., Leal, J., Santos, L.O., Fernandes, N.C.: Nonlinear model predictive control of biodiesel production via transesterification of used vegetable oils. J. Process Control 23(10), 1471–1479 (2013). doi:10.1016/j.jprocont.2013.09.023

    Article  Google Scholar 

  7. Chaturvedi, D.: Soft Computing: Techniques and Its Applications in Electrical Engineering. Studies in Computational Intelligence. Springer, Berlin/Heidelberg (2008)

    Book  Google Scholar 

  8. Du, X., Liu, L., Xi, X., Yang, L., Yang, Y., Liu, Z., Zhang, X., Yu, C., Du, J.: Back pressure prediction of the direct air cooled power generating unit using the artificial neural network model. Appl. Therm. Eng. 31(14–15), 3009–3014 (2011). doi:10.1016/j.applthermaleng.2011.05.034

    Article  Google Scholar 

  9. Fredenslund, A., Jones, R.L., Prausnitz, J.M.: Group-contribution estimation of activity coefficients in nonideal liquid mixtures. AIChE J. 21(6), 1086–1099 (1975). doi:10.1002/aic.690210607

    Article  Google Scholar 

  10. Hagan, M., Demuth, H., Beale, M.: Neural Network Design. Electrical Engineering Series. Brooks/Cole, Boston (1996)

    Google Scholar 

  11. Lobo, L.Q., Ferreira, A.G.M.: Termodinâmica e Propriedades Termofísicas – Volume I: Termodinâmica das Fases. Imprensa da Universidade de Coimbra, Coimbra (2006)

    Book  Google Scholar 

  12. Schmid, M.D.: A neural network package for Octave – User’s Guide (2009). http://www.plexso.com/61_octave/neuralNetworkPackageForOctaveDevelop.pdf. Consulted in March 2013

  13. Sjöberg, J.: Neural Networks – Train and analyze neural networks to fit your data. Technical report, Wolfram Research (2005). http://media.wolfram.com/documents/NeuralNetworksDocumentation.pdf. Consulted in March 2013

  14. Walther, A., Griewank, A.: Getting started with ADOL-C. In: Naumann, U., Schenk, O. (eds.) Combinatorial Scientific Computing. Chapman-Hall CRC Computational Science, chap. 7, pp. 181–202. CRC Press, Boca Raton (2012)

    Chapter  Google Scholar 

  15. Yegnanarayana, B.: Artificial Neural Networks. Prentice-Hall Of India Pvt. Limited, New Delhi (2004)

    Google Scholar 

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Acknowledgements

This work had financial support from QREN through Operational Programme Mais Centro and from the European Union via FEDER under APCFAME project with reference 3509/2009, a consortium between Ciengis, SA and the University of Coimbra. The authors also express their thanks to Vitor Marques for access to his preliminary studies on equilibrium data.

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Correspondence to Natércia C. P. Fernandes .

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Brásio, A.S.R., Romanenko, A., Fernandes, N.C.P. (2015). Development of a Numerically Efficient Biodiesel Decanter Simulator. In: Almeida, J., Oliveira, J., Pinto, A. (eds) Operational Research. CIM Series in Mathematical Sciences, vol 4. Springer, Cham. https://doi.org/10.1007/978-3-319-20328-7_6

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