Aerodynamic optimization of a SCO 2 radial-inflow turbine based on an improved simulated annealing algorithm

Abstract

Supercritical carbon dioxide plays a vital role in the development of power generation applications. It owns the characteristics of high density and low viscosity, which can ensure a compact structure for turbomachinery. With the blossom of optimization algorithm, an interdisciplinary research which applies optimization method to a traditional design process of turbomachinery can accelerate the course and promote the validity by leaps and bounds. We improve the traditional simulated annealing algorithm and establish an optimization process containing the optimization of rotor meridian plane and nozzle profile. This process can effectively reduce the computation time by establishing a surrogate model of coarse mesh simulation. The effects of traditional simulated annealing algorithm (SAA), genetic algorithm (GA) and improve simulated annealing algorithm (ISAA) are compared. As a result, we realize a maximum of 4.94% promotion for isentropic efficiency in ISAA computation. Also, ISAA method saves the computation time by 59.6% compared to GA and by 41.5% compared to SAA. Applying ISAA optimization method to the turbine in a kW-scale solar-driven Brayton cycle power system, we realize a 1.17% increase for the system efficiency.

Keywords

Supercritical carbon dioxide Brayton cycle radial-inflow turbine aerodynamic optimization

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References

Gil

Otin

Embid

, et al. Experimental setup to measure critical properties of pure and binary mixtures and their densities at different pressures and temperatures determination of the precision and uncertainty in the results. J Supercrit Fluids 2008; 44: 123–138.

Yagi

Tsugane

Inomata

, et al. Density-dependence of Fermi resonance of supercritical Carbon-Dioxide. J Supercrit Fluids 1993; 6: 139–142.

Ahn

Bae

Kim

, et al. Review of supercritical CO2 power cycle technology and current status of research and development. Nuclear Eng Technol 2015; 47: 647–661.

Benjelloun

Doulgeris

Singh

A method for techno-economic analysis of supercritical carbon dioxide cycles for new generation nuclear power plants. Proc IMechE, Part A: J Power and Energy 2012; 226: 372–383.

Kuwahara

Niu

Yamaguchi

, et al. Performance study of supercritical CO2-based solar rankine cycle system with a novel-concept thermally driven pump. Proc IMechE, Part A: J Power and Energy 2011; 225: 413–419.

Dostal

Hejzlar

Driscoll

MJ.

High-performance supercritical carbon dioxide cycle for next-generation nuclear reactors. Nuclear Technol 2006; 154: 265–282.

Garg

Kumar

Srinivasan

Supercritical carbon dioxide Brayton cycle for concentrated solar power. J Supercrit Fluids 2013; 76: 54–60.

Mecheri

Moullec

YL.

Supercritical CO2 Brayton cycles for coal-fired power plants. Energy 2016; 103: 758–771.

Lee

Ahn

, et al. Design methodology of supercritical CO2 Brayton cycle turbomachineries. New York: ASME, 2012.

10.

Lettieri

Baltadjiev

Casey

, et al. Low-flow-coefficient centrifugal compressor design for supercritical CO2. J Turbomach-Trans ASME 2014; 136: 081008-1-081008-9.

11.

Ameli

Afzalifar

Turunen-Saaresti

, et al. Centrifugal compressor design for near-critical point applications. J Eng Gas Turbines Power-Trans ASME 2019; 141: 031016-1-031016-8.

12.

Chen

M-F

Yamaguchi

Zhang

X-W

, et al. Performance analyses of a particularly designed turbine for a supercritical CO2-based solar rankine cycle system. Int J Energy Res 2015; 39: 1819–1827.

13.

Zhang

Zhao

Deng

, et al. Aerothermodynamic design and numerical investigation of supercritical carbon dioxide turbine. New York: ASME, 2015.

14.

Pierret

Van den Braembussche

RA.

Turbomachinery blade design using a Navier-Stokes solver and artificial neural network. J Turbomach-Trans ASME 1999; 121: 326–332.

15.

Song

Luo

, et al. Automated multi-objective and multidisciplinary design optimization of a transonic turbine stage. Proc IMechE, Part A: J Power and Energy 2012; 226: 262–276.

16.

Gao

, et al. Aerodynamic optimization of wind turbine airfoils using response surface techniques. Proc IMechE, Part A: J Power and Energy 2010; 224: 827–838.

17.

Wang

Luo

Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades. Appl Math Mech-Engl Ed 2011; 32: 739–748.

18.

Zhang

Gomes

Zangeneh

, et al. Design of a centrifugal compressor stage and a radial-inflow turbine stage for a supercritical CO2 recompression Brayton cycle by using 3D inverse design method. In: Proceedings of ASME turbo expo: turbomachinery technical conference and exposition, Charlotte, USA, 26–30 June 2017.

19.

Sekino

Watanabe

Christakopoulos

, et al. Optimization of high pressure pump flow passages based on adjoint and CFD. In: Proceedings of the ASME 2016 fluids engineering division summer meeting, Washington, USA, 10–14 July 2016.

20.

ZengXun

GAO

Gao

Xin

Aerodynamic optimal design of non-axisymmetric endwall for a turbine Cascade. J Eng Thermophysics 2007; 28: 589–591.

21.

Mohamed

Janiga

Pap

, et al. Multi-objective optimization of the airfoil shape of wells turbine used for wave energy conversion. Energy 2011; 36: 438–446.

22.

Kler

Zakharov

Joint optimization of power plant cycle parameters and gas turbine flow path parameters with blade airfoils represented by cubic splines. Energy 2017; 137: 183–192.

23.

Rivas

Clausen

Hansen

, et al. Solving the turbine positioning problem for large offshore wind farms by simulated annealing. Wind Eng 2009; 33: 287–297.

24.

Samora

Franca

Schleiss

, et al. Simulated annealing in optimization of energy production in a water supply network. Water Resour Manage 2016; 30: 1533–1547.

25.

GH.

Turbo-expander. Beijing, China: China Machine Press, 1982.

26.

Deng

Shao

, et al. An integrated design and optimization approach for radial inflow turbines – part I: automated preliminary design. Appl Sci-Basel 2018; 8; 1--16.

27.

Menter

FR.

2-Equation Eddy-viscosity turbulence models for engineering applications. AIAA J 1994; 32: 1598–1605.

28.

Kim

Lee

Ahn

, et al. CFD investigation of a centrifugal compressor derived from pump technology for supercritical carbon dioxide as a working fluid. J Supercrit Fluids 2014; 86: 160–171.