IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v40y2012i1p258-270.html
   My bibliography  Save this article

A double-pinch criterion for regenerative Rankine cycles

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544212000898
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2012.01.074?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    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. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. M. Soledad Aronna & J. Frédéric Bonnans & Pierre Martinon, 2013. "A Shooting Algorithm for Optimal Control Problems with Singular Arcs," Journal of Optimization Theory and Applications, Springer, vol. 158(2), pages 419-459, August.
    2. Ghasemi, Hadi & Paci, Marco & Tizzanini, Alessio & Mitsos, Alexander, 2013. "Modeling and optimization of a binary geothermal power plant," Energy, Elsevier, vol. 50(C), pages 412-428.
    3. D. Gerard & M. Köppe & Q. Louveaux, 2017. "Guided dive for the spatial branch-and-bound," Journal of Global Optimization, Springer, vol. 68(4), pages 685-711, August.
    4. Brage Rugstad Knudsen & Hanne Kauko & Trond Andresen, 2019. "An Optimal-Control Scheme for Coordinated Surplus-Heat Exchange in Industry Clusters," Energies, MDPI, vol. 12(10), pages 1-22, May.
    5. Gopan, Akshay & Kumfer, Benjamin M. & Phillips, Jeffrey & Thimsen, David & Smith, Richard & Axelbaum, Richard L., 2014. "Process design and performance analysis of a Staged, Pressurized Oxy-Combustion (SPOC) power plant for carbon capture," Applied Energy, Elsevier, vol. 125(C), pages 179-188.
    6. Aydogmus, Ozgur & TOR, Ali Hakan, 2021. "A Modified Multiple Shooting Algorithm for Parameter Estimation in ODEs Using Adjoint Sensitivity Analysis," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    7. Pang, Lei & Shao, Yingjuan & Zhong, Wenqi & Liu, Hao, 2018. "Experimental investigation on the coal combustion in a pressurized fluidized bed," Energy, Elsevier, vol. 165(PB), pages 1119-1128.
    8. Kralj, Anita Kovač, 2011. "Estimation of maximum steam pressure by a mathematical linear technique," Energy, Elsevier, vol. 36(5), pages 2434-2439.
    9. Kim, Donghee & Yang, Won & Huh, Kang Y. & Lee, Youngjae, 2021. "Demonstration of 0.1 MWth pilot-scale pressurized oxy-fuel combustion for unpurified natural gas without CO2 dilution," Energy, Elsevier, vol. 223(C).
    10. Ho, Tony & Mao, Samuel S. & Greif, Ralph, 2012. "Comparison of the Organic Flash Cycle (OFC) to other advanced vapor cycles for intermediate and high temperature waste heat reclamation and solar thermal energy," Energy, Elsevier, vol. 42(1), pages 213-223.
    11. Revellin, Rémi & Lips, Stéphane & Khandekar, Sameer & Bonjour, Jocelyn, 2009. "Local entropy generation for saturated two-phase flow," Energy, Elsevier, vol. 34(9), pages 1113-1121.
    12. Zebian, Hussam & Gazzino, Marco & Mitsos, Alexander, 2012. "Multi-variable optimization of pressurized oxy-coal combustion," Energy, Elsevier, vol. 38(1), pages 37-57.
    13. Manjunath, K. & Kaushik, S.C., 2014. "Second law thermodynamic study of heat exchangers: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 40(C), pages 348-374.
    14. Daniel Word & Jia Kang & Johan Akesson & Carl Laird, 2014. "Efficient parallel solution of large-scale nonlinear dynamic optimization problems," Computational Optimization and Applications, Springer, vol. 59(3), pages 667-688, December.
    15. Gunasekaran, S. & Mancini, N.D. & Mitsos, A., 2014. "Optimal design and operation of membrane-based oxy-combustion power plants," Energy, Elsevier, vol. 70(C), pages 338-354.
    16. Paul Armand & Joël Benoist & Riadh Omheni & Vincent Pateloup, 2014. "Study of a primal-dual algorithm for equality constrained minimization," Computational Optimization and Applications, Springer, vol. 59(3), pages 405-433, December.
    17. Sebastian Sager & Mathieu Claeys & Frédéric Messine, 2015. "Efficient upper and lower bounds for global mixed-integer optimal control," Journal of Global Optimization, Springer, vol. 61(4), pages 721-743, April.
    18. 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.
    19. Sadrani, Mohammad & Tirachini, Alejandro & Antoniou, Constantinos, 2022. "Vehicle dispatching plan for minimizing passenger waiting time in a corridor with buses of different sizes: Model formulation and solution approaches," European Journal of Operational Research, Elsevier, vol. 299(1), pages 263-282.
    20. Wang, Chaoyang & Liu, Ming & Zhao, Yongliang & Yan, Junjie, 2021. "Thermodynamic optimization of the superheater during switching the load transient processes," Energy, Elsevier, vol. 218(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:40:y:2012:i:1:p:258-270. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.