JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (11): 74-84.doi: 10.6040/j.issn.1671-9352.0.2024.263

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Effect of PCM-PCHE on SCO2 Brayton cycle under variable operating conditions

Lianjie ZHANG1(),Wei LI2,Ping YANG1,Min ZENG1,*(),Qiuwang WANG1   

  1. 1. School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, Shaanxi, China
    2. College of Mechanical and Power Engineering, Nanjing University of Technology, Nanjing 211816, Jiangsu, China
  • Received:2024-07-27 Online:2024-11-20 Published:2024-11-29
  • Contact: Min ZENG E-mail:zlj19951231@stu.xjtu.edu.cn;zengmin@mail.xjtu.edu.cn

Abstract:

In order to weaken the influence of variable operating conditions such as temperature instability on the supercritical carbon dioxide (SCO2) Brayton cycle, this study fitted and generalized the results of the phase change materials-printed circuit heat exchanger (PCM-PCHE) embedded in numerical simulations, and established a dynamic simulation model of the coupling between PCM-PCHE and SCO2 Brayton cycle. The coupled dynamic simulation model of SCO2 Brayton cycle was established, and the model validation was completed by the comparison of its parameters with experimental values under stable conditions. Then the variable operating conditions characteristics of the core parameters of the SCO2 Brayton cycle system were observed under temperature fluctuations as well as load variations. The results showed that the addition of PCM-PCHE has a better stabilizing effect on the SCO2 Brayton cycle system with variable operating conditions, which reduced the fluctuation amplitude of the cycle efficiency by 40.8%, and the stabilized value of the rotor speed was lower than that without PCM by 18 r/min, and at the same time, it weakened the variation amplitude of the isentropic efficiency of the turbomachinery when the load varied, which was conducive to the stabilization of the system.

Key words: heat exchanger, phase change material, Brayton cycle, temperature fluctuation, load variation, dynamic characteristics

CLC Number: 

  • TK123

Fig.1

Physical model of PCM-PCHE[24]"

Fig.2

Schematic diagram of the cell used for numerical simulation calculations"

Fig.3

Schematic diagram of the internal heat transfer model of PCM-PCHE"

Table 1

Physical parametersof the three-layer PCM staircase arrangement and EG[24]"

层级 填充材料 密度/(kg·m-3) 比热容/[kJ/(kg·K)] 导热系数/[W/(m·K)] 潜热/(kJ/kg) 熔点/K
PCM1 KOH 2 110.0 1.47 0.50 149.7 653.15
PCM2 NaNO2 1 810.0 1.71 0.67 180.0 531.15
PCM3 D-Mannitol 1 485.0 2.05 0.31 326.0 436.00
EG EG 4.1 0.71 129.00

Fig.4

Schematic diagram of recompression Brayton cycle"

Table 2

Comparison of temperature and errors between PCM-PCHE and experimental values"

项目 Th, i/K Tc, i/K Th, o/K Tc, o/K
实验值 750.0 389.0 418.0 698.0
PCM-PCHE模型值 737.0 389.1 418.5 706.9
相对误差/% 1.73 0.03 0.12 1.28

Fig.5

Numerical simulation results of PCM-PCHE under temperature fluctuation and their correlation equation fitting"

Fig.6

Response of three-layer PCM under temperature fluctuation in SCO2 Brayton cycle simulation"

Fig.7

Comparison of key parameters in the SCO2 Brayton cycle under temperature fluctuation"

Fig.8

Response of three-layer PCM under load variation in SCO2 Brayton cycle simulation"

Fig.9

Comparison of key parameters in SCO2 Brayton cycle under temperature fluctuations"

1 李光霁, 付亚男. SCO2布雷顿循环及其在光热发电中的应用综述[J]. 汽轮机技术, 2024, 66 (2): 81-87, 132, 160.
doi: 10.3969/j.issn.1001-5884.2024.02.001
LI Guangji , FU Yanan . Review of SCO2 Brayton cycle and its application in photothermal power generation[J]. Turbine Technology, 2024, 66 (2): 81-87, 132, 160.
doi: 10.3969/j.issn.1001-5884.2024.02.001
2 WU P , MA Y D , GAO C T , et al. A review of research and development of supercritical carbon dioxide Brayton cycle technology in nuclear engineering applications[J]. Nuclear Engineering and Design, 2020, 368, 110767.
doi: 10.1016/j.nucengdes.2020.110767
3 XU J L , LIU C , SUN E H , et al. Perspective of SCO2 power cycles[J]. Energy, 2019, 186, 115831.
doi: 10.1016/j.energy.2019.07.161
4 OUYANG T C , SU Z X , HUANG G C , et al. Modeling and optimization of a combined cooling, cascaded power and flue gas purification system in marine diesel engines[J]. Energy Conversion and Management, 2019, 200, 112102.
doi: 10.1016/j.enconman.2019.112102
5 SAEED M , KHATOON S , KIM M H . Design optimization and performance analysis of a supercritical carbon dioxide recompression Brayton cycle based on the detailed models of the cycle components[J]. Energy Conversion and Management, 2019, 196, 242- 260.
doi: 10.1016/j.enconman.2019.05.110
6 LIU H Q , CHI Z R , ZANG S S . Optimization of a closed Brayton cycle for space power systems[J]. Applied Thermal Engineering, 2020, 179, 115611.
doi: 10.1016/j.applthermaleng.2020.115611
7 李子扬, 郑楠, 方嘉宾, 等. 再压缩S-CO2布雷顿循环性能分析及多目标优化[J]. 化工学报, 2024, 75 (6): 2143- 2156.
LI Ziyang , ZHENG Nan , FANG Jiabin , et al. Performance analysis and multi-objective optimization of recompression S-CO2 Brayton cycle[J]. CIESC Journal, 2024, 75 (6): 2143- 2156.
8 ZHANG L J , KLEMEŠ J J , ZENG M , et al. Dynamic study of the extraction ratio and interstage pressure ratio distribution in typical layouts of SCO2 Brayton cycle under temperature fluctuations[J]. Applied Thermal Engineering, 2022, 212, 118553.
doi: 10.1016/j.applthermaleng.2022.118553
9 WANG K , HE Y L , ZHU H H . Integration between supercritical CO2 Brayton cycles and molten salt solar power towers: a review and a comprehensive comparison of different cycle layouts[J]. Applied Energy, 2017, 195, 819- 836.
doi: 10.1016/j.apenergy.2017.03.099
10 ZHU S P , ZHANG K , DENG K Y . A review of waste heat recovery from the marine engine with highly efficient bottoming power cycles[J]. Renewable and Sustainable Energy Reviews, 2020, 120, 109611.
doi: 10.1016/j.rser.2019.109611
11 WANG X , WANG R , BIAN X Y , et al. Review of dynamic performance and control strategy of supercritical CO2 Brayton cycle[J]. Energy and AI, 2021, 5, 100078.
doi: 10.1016/j.egyai.2021.100078
12 王伟, 冯浩然, 岳娜, 等. 布雷顿循环冷端空冷换热器设计与变工况运行特性分析[J]. 热力发电, 2024, 53 (4): 63- 72.
WANG Wei , FENG Haoran , YUE Na , et al. Design and off-design operating characteristics analysis of Brayton cycle cold end air-cooled heat exchanger[J]. Thermal Power Generation, 2024, 53 (4): 63- 72.
13 JUNG H Y , KIM M S , KO A R , et al. Investigation of CO2 leak accident in SFR coupled with S-CO2 Brayton cycle[J]. Annals of Nuclear Energy, 2017, 103, 212- 226.
doi: 10.1016/j.anucene.2017.01.013
14 PARK J H , BAE S W , PARK H S , et al. Transient analysis and validation with experimental data of supercritical CO2 integral experiment loop by using MARS[J]. Energy, 2018, 147, 1030- 1043.
doi: 10.1016/j.energy.2017.12.092
15 YU A F , SU W , LIN X X , et al. Recent trends of supercritical CO2 Brayton cycle: bibliometric analysis and research review[J]. Nuclear Engineering and Technology, 2021, 53 (3): 699- 714.
doi: 10.1016/j.net.2020.08.005
16 MOISSEYTSEV A , SIENICKI J J . Transient accident analysis of a supercritical carbon dioxide Brayton cycle energy converter coupled to an autonomous lead-cooled fast reactor[J]. Nuclear Engineering and Design, 2008, 238 (8): 2094- 2105.
doi: 10.1016/j.nucengdes.2007.11.012
17 ZHANG L J , DENG T R , KLEMEVS J J , et al. Supercritical CO2 Brayton cycle at different heat source temperatures and its analysis under leakage and disturbance conditions[J]. Energy, 2021, 237, 121610.
doi: 10.1016/j.energy.2021.121610
18 MA T , LI M J , XU J L , et al. Study of dynamic response characteristics of S-CO2 cycle in coal-fired power plants based on real-time micro-grid load and a novel synergistic control method with variable working conditions[J]. Energy Conversion and Management, 2022, 254, 115264.
doi: 10.1016/j.enconman.2022.115264
19 MING Y , TIAN R F , ZHAO F L , et al. Control strategies and transient characteristics of a 5MWth small modular supercritical CO2 Brayton-cycle reactor system[J]. Applied Thermal Engineering, 2023, 235, 121302.
doi: 10.1016/j.applthermaleng.2023.121302
20 WANG Z , ZHANG M H , GOU J L , et al. Study on start-up characteristics of a heat pipe cooled reactor coupled with a supercritical CO2 Brayton cycle[J]. Applied Thermal Engineering, 2024, 236, 121893.
doi: 10.1016/j.applthermaleng.2023.121893
21 OLUMAYEGUN O , WANG M H . Dynamic modelling and control of supercritical CO2 power cycle using waste heat from industrial processes[J]. Fuel, 2019, 249, 89- 102.
doi: 10.1016/j.fuel.2019.03.078
22 YANG J Z , YU Z T , YAO H . Efficient turbomachinery layout design and performance comparison of supercritical CO2 cycles for high-temperature concentrated solar power plants under peak-shaving scenarios[J]. Energy, 2023, 285, 129445.
doi: 10.1016/j.energy.2023.129445
23 SHI X P , HE Q , LU C , et al. Variable load modes and operation characteristics of closed Brayton cycle pumped thermal electricity storage system with liquid-phase storage[J]. Renewable Energy, 2023, 203, 715- 730.
doi: 10.1016/j.renene.2022.12.116
24 ZHANG L J , YANG P , LI W , et al. A new structure of PCHE with embedded PCM for attenuating temperature fluctuations and its performance analysis[J]. Energy, 2022, 254, 124462.
doi: 10.1016/j.energy.2022.124462
25 YANG X M , LI C B , MA Y F , et al. High thermal conductivity of porous graphite/paraffin composite phase change material with 3D porous graphite foam[J]. Chemical Engineering Journal, 2023, 473, 145364.
doi: 10.1016/j.cej.2023.145364
26 PASCH, J J, CONBOY T M, FLEMING D D, et al.Supercritical CO2 recompression Brayton cycle: completed assembly[EB/OL]. (2012-09-01)[2024-10-17]. https://digital.library.unt.edu/ark:/67531/metadc845414/
27 DENG T R , LI X H , WANG Q W , et al. Dynamic modelling and transient characteristics of supercritical CO2 recompression Brayton cycle[J]. Energy, 2019, 180, 292- 302.
doi: 10.1016/j.energy.2019.05.074
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[2] SHI Kai-quan. Function P-sets [J]. J4, 2011, 46(2): 62-69.
[3] CUI Yu-quan, ZHANG Li, SHI Kai-quan. Study of the dynamic characteristics of Rough sets [J]. J4, 2010, 45(6): 8-14.
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