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Equation-oriented methods for design optimization and performance analysis of radial inflow turbines

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  • Hagen, Brede A.L.
  • Agromayor, Roberto
  • Nekså, Petter

Abstract

This paper presents methods for design optimization and performance analysis of radial inflow turbines. Both methods are formulated in an equation-oriented manner and involve a single mathematical problem that is solved by an efficient, gradient-based optimization algorithm. In addition, the comparison of the model output with experimental data showed that the underlying mean-line flow model accurately predicts the variation of mass flow rate and isentropic efficiency as a function of the pressure ratio, rotational speed, and nozzle throat area. Moreover, the capabilities of the proposed methods were demonstrated by carrying out the preliminary design and performance prediction of the radial inflow turbine of an organic Rankine cycle. The results indicate that the design optimization method converges to the global optimum solution, regardless of the start values for the independent variables. In addition, the performance maps generated by the performance analysis method are physically consistent and agree with general findings from experimental data reported in the open literature. Considering the accuracy, robustness and low computational cost of the proposed methods, they can be regarded as a powerful tool for the preliminary design and performance prediction of radial inflow turbines, either as a standalone component or as part of a larger system.

Suggested Citation

  • Hagen, Brede A.L. & Agromayor, Roberto & Nekså, Petter, 2021. "Equation-oriented methods for design optimization and performance analysis of radial inflow turbines," Energy, Elsevier, vol. 237(C).
    • Handle: RePEc:eee:energy:v:237:y:2021:i:c:s0360544221018442
    DOI: 10.1016/j.energy.2021.121596
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    References listed on IDEAS

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    1. Martelli, Emanuele & Capra, Federico & Consonni, Stefano, 2015. "Numerical optimization of Combined Heat and Power Organic Rankine Cycles – Part A: Design optimization," Energy, Elsevier, vol. 90(P1), pages 310-328.
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    4. Capra, Federico & Martelli, Emanuele, 2015. "Numerical optimization of combined heat and power Organic Rankine Cycles – Part B: Simultaneous design & part-load optimization," Energy, Elsevier, vol. 90(P1), pages 329-343.
    5. 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.
    6. Liu, Changwei & Gao, Tieyu, 2019. "Off-design performance analysis of basic ORC, ORC using zeotropic mixtures and composition-adjustable ORC under optimal control strategy," Energy, Elsevier, vol. 171(C), pages 95-108.
    7. Chatzopoulou, Maria Anna & Simpson, Michael & Sapin, Paul & Markides, Christos N., 2019. "Off-design optimisation of organic Rankine cycle (ORC) engines with piston expanders for medium-scale combined heat and power applications," Applied Energy, Elsevier, vol. 238(C), pages 1211-1236.
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    Cited by:

    1. Peng Song & Jinju Sun & Shengyuan Wang & Xuesong Wang, 2022. "Multipoint Design Optimization of a Radial-Outflow Turbine for Kalina Cycle System Considering Flexible Operating Conditions and Variable Ammonia-Water Mass Fraction," Energies, MDPI, vol. 15(22), pages 1-19, November.
    2. Hagen, Brede A.L. & Andresen, Trond & Nekså, Petter, 2022. "Equation-oriented methods for optimizing Rankine cycles using radial inflow turbine," Energy, Elsevier, vol. 252(C).
    3. Motamed, Mohammad Ali & Nord, Lars O., 2022. "Part-load efficiency boost in offshore organic Rankine cycles with a cooling water flow rate control strategy," Energy, Elsevier, vol. 257(C).
    4. Mohammad Ali Motamed & Lars O. Nord, 2021. "Assessment of Organic Rankine Cycle Part-Load Performance as Gas Turbine Bottoming Cycle with Variable Area Nozzle Turbine Technology," Energies, MDPI, vol. 14(23), pages 1-18, November.
    5. 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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