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A double-pinch criterion for regenerative Rankine cycles

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  • Zebian, Hussam
  • Mitsos, Alexander

Abstract

A double-pinch criterion for closed feedwater heaters (FWH) of regenerative Rankine cycles is presented. The FWHs are modeled as counter-current heat exchangers. Thus, two potential pinch positions in the FWH exist: (i) at the exit of the bleed (drain) and (ii) at the onset of condensation. For a given heat duty in the FWH, feed inlet temperature and flowrate, the extraction flowrate and pressure should be chosen to achieve the same minimal approach temperature at the two potential pinch points. An analytical proof is given for a fixed pinch value for the case that the drain enters the condenser, based on weak assumptions. Additionally, the criterion is numerically demonstrated for fixed pinch value and for fixed heat exchanger area using the most common configurations: drain to condenser, drain to deaerator, and drain cascaded to next FWH. A similar criterion is developed for the case that the drain is pumped (upwards or downwards) and mixed with the feedwater. The double pinch criterion simplifies the optimization procedure and results in significant efficiency increase for fixed heat exchanger area. For numerical reasons it is advisable to use the pressure as the optimization variable and calculate the heat duty and mass flowrate.

Suggested Citation

  • Zebian, Hussam & Mitsos, Alexander, 2012. "A double-pinch criterion for regenerative Rankine cycles," Energy, Elsevier, vol. 40(1), pages 258-270.
    • Handle: RePEc:eee:energy:v:40:y:2012:i:1:p:258-270
    DOI: 10.1016/j.energy.2012.01.074
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    References listed on IDEAS

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    1. Vargas, J.V.C. & Bejan, A., 2000. "Thermodynamic optimization of the match between two streams with phase change," Energy, Elsevier, vol. 25(1), pages 15-33.
    2. Zebian, Hussam & Gazzino, Marco & Mitsos, Alexander, 2012. "Multi-variable optimization of pressurized oxy-coal combustion," Energy, Elsevier, vol. 38(1), pages 37-57.
    3. Eligius M. T. Hendrix & Boglárka G.-Tóth, 2010. "Nonlinear Programming algorithms," Springer Optimization and Its Applications, in: Introduction to Nonlinear and Global Optimization, chapter 5, pages 91-136, Springer.
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    Citations

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    1. Zebian, Hussam & Mitsos, Alexander, 2013. "Pressurized oxy-coal combustion: Ideally flexible to uncertainties," Energy, Elsevier, vol. 57(C), pages 513-526.
    2. Zebian, Hussam & Mitsos, Alexander, 2014. "Pressurized OCC (oxy-coal combustion) process ideally flexible to the thermal load," Energy, Elsevier, vol. 73(C), pages 416-429.
    3. Sarkar, Jahar, 2018. "Generalized pinch point design method of subcritical-supercritical organic Rankine cycle for maximum heat recovery," Energy, Elsevier, vol. 143(C), pages 141-150.
    4. Yang, Xufei & Xu, Jinliang & Miao, Zheng & Zou, Jinghuang & Qi, Fengliang, 2016. "The definition of non-dimensional integration temperature difference and its effect on organic Rankine cycle," Applied Energy, Elsevier, vol. 167(C), pages 17-33.
    5. Schilling, J. & Entrup, M. & Hopp, M. & Gross, J. & Bardow, A., 2021. "Towards optimal mixtures of working fluids: Integrated design of processes and mixtures for Organic Rankine Cycles," Renewable and Sustainable Energy Reviews, Elsevier, vol. 135(C).
    6. Dominik Bongartz & Alexander Mitsos, 2017. "Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations," Journal of Global Optimization, Springer, vol. 69(4), pages 761-796, December.
    7. Zebian, Hussam & Rossi, Nicola & Gazzino, Marco & Cumbo, Danila & Mitsos, Alexander, 2013. "Optimal design and operation of pressurized oxy-coal combustion with a direct contact separation column," Energy, Elsevier, vol. 49(C), pages 268-278.

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