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Combined Turbine and Cycle Optimization for Organic Rankine Cycle Power Systems—Part A: Turbine Model

Author

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  • Andrea Meroni

    (Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 403, Kongens Lyngby 2800, Denmark)

  • Angelo La Seta

    (Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 403, Kongens Lyngby 2800, Denmark)

  • Jesper Graa Andreasen

    (Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 403, Kongens Lyngby 2800, Denmark)

  • Leonardo Pierobon

    (Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 403, Kongens Lyngby 2800, Denmark)

  • Giacomo Persico

    (Laboratorio di Fluidodinamica delle Macchine, Dipartimento di Energia, Politecnico di Milano, Via Lambruschini 4, Milan I-20156, Italy)

  • Fredrik Haglind

    (Department of Mechanical Engineering, Technical University of Denmark, Nils Koppels Allé, Building 403, Kongens Lyngby 2800, Denmark)

Abstract

Axial-flow turbines represent a well-established technology for a wide variety of power generation systems. Compactness, flexibility, reliability and high efficiency have been key factors for the extensive use of axial turbines in conventional power plants and, in the last decades, in organic Rankine cycle power systems. In this two-part paper, an overall cycle model and a model of an axial turbine were combined in order to provide a comprehensive preliminary design of the organic Rankine cycle unit, taking into account both cycle and turbine optimal designs. Part A presents the preliminary turbine design model, the details of the validation and a sensitivity analysis on the main parameters, in order to minimize the number of decision variables in the subsequent turbine design optimization. Part B analyzes the application of the combined turbine and cycle designs on a selected case study, which was performed in order to show the advantages of the adopted methodology. Part A presents a one-dimensional turbine model and the results of the validation using two experimental test cases from literature. The first case is a subsonic turbine operated with air and investigated at the University of Hannover. The second case is a small, supersonic turbine operated with an organic fluid and investigated by Verneau. In the first case, the results of the turbine model are also compared to those obtained using computational fluid dynamics simulations. The results of the validation suggest that the model can predict values of efficiency within ± 1.3%-points, which is in agreement with the reliability of classic turbine loss models such as the Craig and Cox correlations used in the present study. Values similar to computational fluid dynamics simulations at the midspan were obtained in the first case of validation. Discrepancy below 12 % was obtained in the estimation of the flow velocities and turbine geometry. The values are considered to be within a reasonable range for a preliminary design tool. The sensitivity analysis on the turbine model suggests that two of twelve decision variables of the model can be disregarded, thus further reducing the computational requirements of the optimization.

Suggested Citation

  • Andrea Meroni & Angelo La Seta & Jesper Graa Andreasen & Leonardo Pierobon & Giacomo Persico & Fredrik Haglind, 2016. "Combined Turbine and Cycle Optimization for Organic Rankine Cycle Power Systems—Part A: Turbine Model," Energies, MDPI, vol. 9(5), pages 1-15, April.
  • Handle: RePEc:gam:jeners:v:9:y:2016:i:5:p:313-:d:68859
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    References listed on IDEAS

    as
    1. Da Lio, Luca & Manente, Giovanni & Lazzaretto, Andrea, 2014. "New efficiency charts for the optimum design of axial flow turbines for organic Rankine cycles," Energy, Elsevier, vol. 77(C), pages 447-459.
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    2. Meroni, Andrea & Robertson, Miles & Martinez-Botas, Ricardo & Haglind, Fredrik, 2018. "A methodology for the preliminary design and performance prediction of high-pressure ratio radial-inflow turbines," Energy, Elsevier, vol. 164(C), pages 1062-1078.
    3. Palagi, Laura & Sciubba, Enrico & Tocci, Lorenzo, 2019. "A neural network approach to the combined multi-objective optimization of the thermodynamic cycle and the radial inflow turbine for Organic Rankine cycle applications," Applied Energy, Elsevier, vol. 237(C), pages 210-226.
    4. Jesper Graa Andreasen & Andrea Meroni & Fredrik Haglind, 2017. "A Comparison of Organic and Steam Rankine Cycle Power Systems for Waste Heat Recovery on Large Ships," Energies, MDPI, vol. 10(4), pages 1-23, April.
    5. Peng, Ningjian & Wang, Enhua & Wang, Wenli, 2023. "Design and analysis of a 1.5 kW single-stage partial-admission impulse turbine for low-grade energy utilization," Energy, Elsevier, vol. 268(C).
    6. Luca Riboldi & Lars O. Nord, 2017. "Lifetime Assessment of Combined Cycles for Cogeneration of Power and Heat in Offshore Oil and Gas Installations," Energies, MDPI, vol. 10(6), pages 1-23, May.
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    8. Persico, Giacomo & Romei, Alessandro & Dossena, Vincenzo & Gaetani, Paolo, 2018. "Impact of shape-optimization on the unsteady aerodynamics and performance of a centrifugal turbine for ORC applications," Energy, Elsevier, vol. 165(PA), pages 2-11.
    9. Ningjian Peng & Enhua Wang & Hongguang Zhang, 2021. "Preliminary Design of an Axial-Flow Turbine for Small-Scale Supercritical Organic Rankine Cycle," Energies, MDPI, vol. 14(17), pages 1-20, August.
    10. Meroni, Andrea & Andreasen, Jesper Graa & Persico, Giacomo & Haglind, Fredrik, 2018. "Optimization of organic Rankine cycle power systems considering multistage axial turbine design," Applied Energy, Elsevier, vol. 209(C), pages 339-354.
    11. Angelo La Seta & Andrea Meroni & Jesper Graa Andreasen & Leonardo Pierobon & Giacomo Persico & Fredrik Haglind, 2016. "Combined Turbine and Cycle Optimization for Organic Rankine Cycle Power Systems—Part B: Application on a Case Study," Energies, MDPI, vol. 9(6), pages 1-17, May.
    12. Enhua Wang & Ningjian Peng, 2023. "A Review on the Preliminary Design of Axial and Radial Turbines for Small-Scale Organic Rankine Cycle," Energies, MDPI, vol. 16(8), pages 1-20, April.

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