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Minimization of energy consumption in multi-stage evaporator system of Kraft recovery process using Interior-Point Method

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  • Verma, Om Prakash
  • Mohammed, Toufiq Haji
  • Mangal, Shubham
  • Manik, Gaurav

Abstract

The maximization of the energy (steam) efficiency of a multi-stage evaporator system used for concentrating the black liquor in pulp and paper mills carries immense significance in today's scenario. The nonlinear mathematical models of heptads' effect backward feed flow with various energy saving schemes namely, steam-split, feed-split, feed-preheating and their hybrid operations have been developed. The steam economy as a cost function translates the problem into a nonlinear optimal search problem. The mass and heat balance equations act as nonlinear equality constraints while vapor temperatures and liquor flows appear as inequality constraints. The formulated optimal problem has been solved efficiently using Interior-Point Method which demonstrates advantages of convergence and less sensitivity towards initial values versus conventional algorithms. The simulation results indicate that a hybrid of steam-split, feed-split and feed-preheating process arrangements with backward feed flow could provide the highest heat transfer across evaporator effects with optimum of steam economy of ∼6.49 and consumption of ∼1.97 kg/s.

Suggested Citation

  • Verma, Om Prakash & Mohammed, Toufiq Haji & Mangal, Shubham & Manik, Gaurav, 2017. "Minimization of energy consumption in multi-stage evaporator system of Kraft recovery process using Interior-Point Method," Energy, Elsevier, vol. 129(C), pages 148-157.
    • Handle: RePEc:eee:energy:v:129:y:2017:i:c:p:148-157
    DOI: 10.1016/j.energy.2017.04.093
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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.
    3. Qu, Kaiping & Yu, Tao & Pan, Zhenning & Zhang, Xiaoshun, 2020. "Point estimate-based stochastic robust dispatch for electricity-gas combined system under wind uncertainty using iterative convex optimization," Energy, Elsevier, vol. 211(C).
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    5. Yin, Linfei & Wang, Tao & Wang, Senlin & Zheng, Baomin, 2019. "Interchange objective value method for distributed multi-objective optimization: Theory, application, implementation," Applied Energy, Elsevier, vol. 239(C), pages 1066-1076.

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