Multi-objective optimization of thermoeconomic and component size of supercritical carbon dioxide recompression cycle based on small-scale lead-cooled fast reactor
Yadong Du
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorCorresponding Author
Leilei Wang
School of Mechanical and Equipment Engineering, Hebei University of Engineering, Handan, China
Correspondence
Leilei Wang, School of Mechanical and Equipment Engineering, Hebei University of Engineering, Handan, 056038, China.
Email: [email protected]
Search for more papers by this authorZhiyi Yu
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorHanzhi Zhang
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorYanzhao Li
Department of Mechatronic Information, Weifang University of Science and Technology, Shouguang, China
Search for more papers by this authorCe Yang
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorYadong Du
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorCorresponding Author
Leilei Wang
School of Mechanical and Equipment Engineering, Hebei University of Engineering, Handan, China
Correspondence
Leilei Wang, School of Mechanical and Equipment Engineering, Hebei University of Engineering, Handan, 056038, China.
Email: [email protected]
Search for more papers by this authorZhiyi Yu
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorHanzhi Zhang
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorYanzhao Li
Department of Mechatronic Information, Weifang University of Science and Technology, Shouguang, China
Search for more papers by this authorCe Yang
School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China
Search for more papers by this authorFunding information: National Natural Science Foundation of China, Grant/Award Numbers: 51736001, 51906006
Summary
When the supercritical CO2 power cycle is employed in confined spaces, such as nuclear-powered ships and spacecraft, its size should be given priority. To estimate the component size, the one-dimensional heat exchanger model developed in this study is used in a recompression supercritical CO2 cycle integrated on a small-scale lead-cooled fast reactor. A parameter analysis was performed to study the influence of several key parameters on the levelized cost of electricity, thermal efficiency, and system size. Moreover, four types of multi-objective optimizations were conducted to provide optimization schemes for different scenarios. Results indicated that the increased turbine inlet temperature improved the thermoeconomic but augmented the system volume. The size of the low-temperature recuperator was observably enlarged near the optimal flow split ratio, thereby increasing the system volume. Pareto optimal solution of bi-objective optimization based on the levelized cost of electricity and system size reached the lowest system volume of 3.71 m3. Additionally, the best trade-off result of three-objective optimization was a thermal efficiency of 42.14%, a levelized cost of electricity of 56.30 $∙MWh−1, and a system volume of 4.43 m3. Meanwhile, maximal and minimal pressure drops of CO2 appeared in the cooler and intermediate heat exchanger, respectively.
REFERENCES
- 1Wang L, Cui Z, Kuuluvainen J, Sun Y. Does Forest Industries in China become cleaner? A prospective of embodied carbon emission. Sustainability. 2021; 13(4): 2306.
- 2Chu J, Shao C, Emrouznejad A, Wu J, Yuan Z. Performance evaluation of organizations considering economic incentives for emission reduction: a carbon emission permit trading approach. Energy Econ. 2021; 101:105398.
- 3Azam A, Rafiq M, Shafique M, Zhang H, Yuan J. Analyzing the effect of natural gas, nuclear energy and renewable energy on GDP and carbon emissions: a multi-variate panel data analysis. Energy. 2021; 219:119592.
- 4Şahin S, Şahin HM. Generation-IV reactors and nuclear hydrogen production. Int J Hydrogen Energy. 2021; 46: 28936-28948.
- 5Şahin S, Şahin HM. Comprehensive Energy Systems. In Energy Production, Chapter 3.14. “Fission Energy Production”. Vol 3. Netherlands: Elsevier Amsterdam; 2018: 590-637.
- 6Li MJ, Jie YJ, Zhu HH, Qi GJ, Li MJ. The thermodynamic and cost-benefit-analysis of miniaturized lead-cooled fast reactor with supercritical CO2 power cycle in the commercial market. Prog Nucl Energy. 2018; 103: 135-150.
- 7Feher EG. The supercritical thermodynamic power cycle. Energy Convers. 1968; 8(2): 85-90.
- 8Du YD, Yang C, Hu CX, Zhou M. Thermodynamic design and off-design investigation of nuclear power supercritical CO2 recompression cycle. Nucl Eng Des. 2020; 369:110851.
- 9Park S, Kim J, Yoon M, Rhim D, Yeom C. Thermodynamic and economic investigation of coal-fired power plant combined with various supercritical CO2 Brayton power cycle. Appl Therm Eng. 2018; 130: 611-623.
- 10Sleiti AK, Al-Ammari WA. Combined direct oxy-combustion and concentrated solar supercritical carbon dioxide power system—Thermo, exergoeconomic, and quadruple optimization analyses. Int J Energy Res. 2022.
- 11Xiao G, Yu A, Lin X, Su W, Zhou N. Constructing a novel supercritical carbon dioxide power cycle with the capacity of process switching for the waste heat recovery. Int J Energy Res. 2021; 46: 5099-5118.
- 12Cao Y, Dhahad HA, Rajhi AA, Alamri S, Anqi AE, el-Shafay AS. Combined heat and power system based on a proton conducting SOFC and a supercritical CO2 Brayton cycle triggered by biomass gasification. Int J Hydrogen Energy. 2022; 47(8): 5439-5452.
- 13Sun R, Yang K, Liu M, Yan J. Thermodynamic and economic comparison of supercritical carbon dioxide coal-fired power system with different improvements. Int J Energy Res. 2021; 45(6): 9555-9579.
- 14Wang K, He YL, Zhu HH. Integration between supercritical CO2 Brayton cycles and molten salt solar power towers: a review and a comprehensive comparison of different cycle layouts. Appl Energy. 2017; 195: 819-836.
- 15Luo D, Huang D. Thermodynamic and exergoeconomic investigation of various SCO2 Brayton cycles for next generation nuclear reactors. Energy Conver Manage. 2020; 209:112649.
- 16Park JH, Park HS, Kwon JG, Kim TH, Kim MH. Optimization and thermodynamic analysis of supercritical CO2 Brayton recompression cycle for various small modular reactors. Energy. 2018; 160: 520-535.
- 17Deng QH, Wang D, Zhao H, Huang WT, Shao S, Feng ZP. Study on performances of supercritical CO2 recompression Brayton cycles with multi-objective optimization. Appl Therm Eng. 2017; 114: 1335-1342.
- 18Li MJ, Xu JL, Cao F, Guo JQ, Tong ZX, Zhu HH. The investigation of thermo-economic performance and conceptual design for the miniaturized lead-cooled fast reactor composing supercritical CO2 power cycle. Energy. 2019; 173: 174-195.
- 19Cao Y, Dhahad HA, Togun H, Anqi AE, Farouk N, Farhang B. A novel hybrid biomass-solar driven triple combined power cycle integrated with hydrogen production: multi-objective optimization based on power cost and CO2 emission. Energy Conver Manage. 2021; 234:113910.
- 20Cao Y, Li P, Qiao Z, Ren S, Si F. A concept of a supercritical CO2 Brayton and organic Rankine combined cycle for solar energy utilization with typical geothermal as auxiliary heat source: thermodynamic analysis and optimization. Energy Rep. 2022; 8: 322-333.
- 21Wang Z, Jiang Y, Han F, et al. A thermodynamic configuration method of combined supercritical CO2 power system for marine engine waste heat recovery based on recuperative effects. Appl Therm Eng. 2022; 200:117645.
- 22Baek JY., Lee JJ., Lee JI. 2020. Transient Analyses of the S-CO2 Cycle Coupled to PWR for Nuclear Marine Propulsion.
- 23Clementoni EM, Cox TL. Practical aspects of supercritical carbon dioxide Brayton system testing. Paper presented at: The 4th International Symposium - Supercritical CO2 Power Cycles, 2014.
- 24Banuti D T. A thermodynamic look at injection in aerospace propulsion systems. AIAA Scitech 2020 Forum, 2020: 1154.
- 25Banuti DT., Shunn L., Bose S., Kim D., 2018. Large eddy simulations of oxy-fuel combustors for direct-fired supercritical CO2 power cycles. Paper presented in: The 6th International Symposium on Supercritical CO2 Power Cycles.
- 26Zhang X, Deng Z, Li J, Yang Y, Ma Q, Liu M. Design and verification of reactor power control based on stepped dynamic matrix controller. Sci Technol Nucl Install. 2019; 2019: 1-11.
- 27Dostal V, Driscoll MJ, Hejzlar P. A supercritical carbon dioxide cycle for next generation nuclear reactors. Diss. Massachuset Instit Technol Depart Nucl Eng. 2004.
- 28Saeed M, Berrouk AS, Siddiqui MS, Awais AA. Effect of printed circuit heat exchanger's different designs on the performance of supercritical carbon dioxide Brayton cycle. Appl Therm Eng. 2020; 179:115758.
- 29Saeed M, Berrouk AS, Siddiqui MS, Awais AA. Numerical investigation of thermal and hydraulic characteristics of sCO2-water printed circuit heat exchangers with zigzag channels. Energy Conver Manage. 2020; 224:113375.
- 30Lee J, Lee JI, Yoon HJ, Cha JE. Supercritical carbon dioxide turbomachinery design for water-cooled small modular reactor application. Nucl Eng Des. 2014; 270: 76-89.
- 31Jiang Y, Liese E, Zitney SE, Bhattacharyya D. Optimal design of microtube recuperators for an indirect supercritical carbon dioxide recompression closed Brayton cycle. Appl Energy. 2018; 216: 634-648.
- 32Ribeiro GB, Braz Filho FA, Guimarães LN. Thermodynamic analysis and optimization of a closed regenerative Brayton cycle for nuclear space power systems. Appl Therm Eng. 2015; 90: 250-257.
- 33Sondelski B, Nellis G. Mass optimization of a supercritical CO2 Brayton cycle with a direct cooled nuclear reactor for space surface power. Appl Therm Eng. 2019; 114299: 114299.
- 34Liu H, Chi Z, Zang S. Optimization of a closed Brayton cycle for space power systems. Appl Therm Eng. 2020; 179:115611.
- 35Lemmon EW, Huber ML, Mclinden MO. NIST standard reference database 23: reference fluid thermodynamic and transport properties-REFPROP, version 9.1, standard reference data program, National Institute of Standards and Technology. Nist Nsrds. 2010.
- 36Balje OE. Turbomachines-a guide to design selection and theory. J Fluid Eng. 1981; 103(4): 644.
10.1115/1.3241788 Google Scholar
- 37Du YD, Yang C, Wang HM, Hu CX. One-dimensional optimisation design and off-design operation strategy of centrifugal compressor for supercritical carbon dioxide Brayton cycle. Appl Therm Eng. 2021; 194:117318.
- 38Du YD, Yang C, Hu CX, Zhang C. Thermoeconomic analysis and inter-stage pressure ratio optimization of nuclear power supercritical CO2 multi-stage recompression. Int J Energy Res. 2021; 45(2): 2367-2382.
- 39Li H, Fan G, Cao L, Yang Y, Wang J. A comprehensive investigation on the design and off-design performance of supercritical carbon dioxide power system based on the small-scale lead-cooled fast reactor. J Clean Prod. 2020; 256:120720.
- 40Cai HF, Jiang YY, Wang T, Liang SQ, Zhu YM. Experimental investigation on convective heat transfer and pressure drop of supercritical CO2 and water in microtube heat exchangers. Int J Heat Mass Transf. 2020; 163:120443.
- 41Brun K, Friedman P, Dennis R. Fundamentals and applications of supercritical carbon dioxide (sCO2) based power cycles. Britain: Woodhead Publishing; 2017.
- 42Carlson M, Conboy T, Fleming D, Pasch J. Scaling considerations for SCO2 cycle heat exchanger. Paper presented in: Proceeding of ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, Düsseldorf, Germany; Jun 16–20, 2014.
- 43Kruizenga A, Fleming D, Carlson M, Anstey M. Supercritical CO2 heat exchanger fouling. Paper presented in: Proceeding of the 4th International Symposium-Supercritical CO2 Power Cycles, Pittsburgh, Pennsylvania; 9–10, 2014.
- 44Kern DQ. Process Heat Transfer [J]. McGraw-Hill; 1983.
- 45Serrano I, Cantizano A, Linares J, Moratilla B. Modeling and sizing of the heat exchangers of a new supercritical CO2 Brayton power cycle for energy conversion for fusion reactors. Fusion Eng Des. 2014; 89: 1905-1908.
- 46Tao WQ. Numerical Heat Transfer. Xi'An Jiao Tong. China: Xi'an Jiaotong University Press; 2001.
- 47Guo C, Lu D, Zhang X, Sui D. Development and application of a safety analysis code for small Lead cooled fast reactor SVBR 75/100. Ann Nucl Energy. 2015; 81: 62-72.
- 48Feng Y, Zhang Y, Li B, Yang J, Shi Y. Comparison between regenerative organic Rankine cycle (RORC) and basic organic Rankine cycle (BORC) based on thermoeconomic multi-objective optimization considering exergy efficiency and levelized energy cost (LEC). Energ Conver Manage. 2015; 96: 58-71.
- 49Atashkari K, Nariman-Zadeh N, Pilechi A, Jamali A, Yao X. Thermodynamic Pareto optimization of turbojet engines using multi-objective genetic algorithms. Int J Therm Sci. 2005; 44(11): 1061-1071.
- 50Tian H, Chang L, Shu G, Shi L. Multi-objective optimization of the carbon dioxide transcritical power cycle with various configurations for engine waste heat recovery. Energy Conver Manage. 2017; 148: 477-488.
- 51Yang Y, Li H, Yao M, et al. Optimizing the size of a printed circuit heat exchanger by multi-objective genetic algorithm. Appl Therm Eng. 2020; 167:114811.
- 52Chen Y, Wang M, Liso V, et al. Parametric analysis and optimization for exergoeconomic performance of a combined system based on solid oxide fuel cell-gas turbine and supercritical carbon dioxide Brayton cycle. Energy Conver Manage. 2019; 186: 66-81.
- 53Jing R, Wang M, Wang W, et al. Economic and environmental multi-optimal design and dispatch of solid oxide fuel cell based CCHP system. Energ Conver Manage. 2017; 154: 365-379.
- 54Sarkar J, Bhattacharyya S. Optimization of recompression SCO2 power cycle with reheating. Energy Conver Manage. 2009; 50(8): 1939-1945.
- 55Du Y, Hu C, Yang C, et al. Size optimization of heat exchanger and thermoeconomic assessment for supercritical CO2 recompression Brayton cycle applied in marine. Energy. 2022; 239:122306.
- 56Dang CB, Hihara E. In-tube cooling heat transfer of supercritical carbon dioxide. Part 1. Experimental measurement. Int J Refrig. 2004; 27(7): 736-747.
- 57Sondelski B., Swenson A., Nellis G., Anderson M., Wilson P. 2018. Supercritical Brayton Power Conversion with a Direct Cooled Reactor for Space Power. University of Wisconsin-Madis.