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Solution of SNLAE model of backward feed multiple effect evaporator system using genetic algorithm approach

Author

Listed:
  • Om Prakash Verma

    (IIT Roorkee)

  • Suryakant

    (IIT Roorkee)

  • Gaurav Manik

    (IIT Roorkee)

Abstract

This paper presents the genetic algorithm approach to solve the highly complex set of fourteen simultaneous nonlinear algebraic benchmark problem for the backward feed seven effect evaporator. Generally, Newton’s method may be considered a better numerical technique to solve such nonlinear problems. However, a higher number of effects (seven in this case) complicates the evaluation of a 14 × 14 Jacobian matrix that involves determining the analytical derivative of all system variables. Also, such a simultaneous nonlinear algebraic equations model exhibits the problem of divergence and instability when initial values have not been chosen appropriately. In this work, genetic algorithm approach has been demonstrated to be very efficient to solve such complex nonlinear models for a large number of effects in evaporative system without any complications. To make the model more realistic and representative of physico-thermal properties of liquor, boiling point elevation of the liquor during evaporation has been incorporated. Finally, the developed models are solved using genetic algorithm to determine the process variables, namely liquor and steam flow rates, which yield process performance parameters of energy efficiency (steam economy and consumption). The results indicate that a maximum steam efficiency may be achieved for a 50 % steam split in the first two effects.

Suggested Citation

  • Om Prakash Verma & Suryakant & Gaurav Manik, 2017. "Solution of SNLAE model of backward feed multiple effect evaporator system using genetic algorithm approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(1), pages 63-78, March.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:1:d:10.1007_s13198-016-0533-0
    DOI: 10.1007/s13198-016-0533-0
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    References listed on IDEAS

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    1. Ding, Xudong & Cai, Wenjian & Jia, Lei & Wen, Changyun, 2009. "Evaporator modeling - A hybrid approach," Applied Energy, Elsevier, vol. 86(1), pages 81-88, January.
    2. Shiv Prakash & Vibhu Trivedi & Manojkumar Ramteke, 2016. "An elitist non-dominated sorting bat algorithm NSBAT-II for multi-objective optimization of phthalic anhydride reactor," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(3), pages 299-315, September.
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    Citations

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    Cited by:

    1. Pati, Smitarani & Verma, Om Prakash, 2022. "Energy integration of solar assisted Multiple Stage Evaporator and optimum parameter selection," Energy, Elsevier, vol. 239(PC).
    2. Verma, Om Prakash & Manik, Gaurav & Sethi, Sushant Kumar, 2019. "A comprehensive review of renewable energy source on energy optimization of black liquor in MSE using steady and dynamic state modeling, simulation and control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 100(C), pages 90-109.

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