IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v252y2022ics0360544222008830.html
   My bibliography  Save this article

Integrated optimization for design and operation of turbomachinery in a solar-based Brayton cycle based on deep learning techniques

Author

Listed:
  • Wang, Yuqi
  • Liu, Tianyuan
  • Meng, Yue
  • Zhang, Di
  • Xie, Yonghui

Abstract

The design efficiency and operating conditions of turbomachinery are important for ensuring the reliability of an energy system. A data-driven design and operation optimization network for turbomachinery is proposed, which can also present the physical field distributions. The blade design optimization and the off-design operation optimization are integrated aiming at the turbine in a solar-based Supercritical Carbon Dioxide Brayton cycle. For prediction effect of the network, the mean relative errors of the trained Dual Convolutional Neural Network for field and performance prediction are mostly less than 0.75% and 3%, respectively. The R-squared of all concerned parameters are above 0.95. For multi-objective optimization process, Automatic Differentiation method is used to obtain the Pareto solutions. The blade design is conducted and the operation of the turbine is optimized under the three scenarios of insufficient pressure ratio, insufficient heat source, and insufficient rotation speed. The field distributions are acquired for different operation schemes. The presented network only needs 0.028s to obtain the turbine performance of a certain condition in comparison with 6min using Computational Fluid Dynamics method. Users can select a certain operation condition according to efficiency and power requirements, thus adapting to a wide range of off-design conditions.

Suggested Citation

  • Wang, Yuqi & Liu, Tianyuan & Meng, Yue & Zhang, Di & Xie, Yonghui, 2022. "Integrated optimization for design and operation of turbomachinery in a solar-based Brayton cycle based on deep learning techniques," Energy, Elsevier, vol. 252(C).
  • Handle: RePEc:eee:energy:v:252:y:2022:i:c:s0360544222008830
    DOI: 10.1016/j.energy.2022.123980
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544222008830
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.energy.2022.123980?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yao, Lichao & Zou, Zhengping, 2020. "A one-dimensional design methodology for supercritical carbon dioxide Brayton cycles: Integration of cycle conceptual design and components preliminary design," Applied Energy, Elsevier, vol. 276(C).
    2. Jun-Seong Kim & Do-Yeop Kim, 2020. "Preliminary Design and Off-Design Analysis of a Radial Outflow Turbine for Organic Rankine Cycles," Energies, MDPI, vol. 13(8), pages 1-18, April.
    3. Gao, Lei & Cao, Tao & Hwang, Yunho & Radermacher, Reinhard, 2022. "Robustness analysis in supercritical CO2 power generation system configuration optimization," Energy, Elsevier, vol. 242(C).
    4. Li, Yunzhu & Liu, Tianyuan & Wang, Yuqi & Xie, Yonghui, 2022. "Deep learning based real-time energy extraction system modeling for flapping foil," Energy, Elsevier, vol. 246(C).
    5. Son, Seongmin & Jeong, Yongju & Cho, Seong Kuk & Lee, Jeong Ik, 2020. "Development of supercritical CO2 turbomachinery off-design model using 1D mean-line method and Deep Neural Network," Applied Energy, Elsevier, vol. 263(C).
    6. Rocha, P.A. Costa & Rocha, H.H. Barbosa & Carneiro, F.O. Moura & Vieira da Silva, M.E. & Bueno, A. Valente, 2014. "k–ω SST (shear stress transport) turbulence model calibration: A case study on a small scale horizontal axis wind turbine," Energy, Elsevier, vol. 65(C), pages 412-418.
    7. Wang, Yuqi & Du, Qiuwan & Li, Yunzhu & Zhang, Di & Xie, Yonghui, 2022. "Field reconstruction and off-design performance prediction of turbomachinery in energy systems based on deep learning techniques," Energy, Elsevier, vol. 238(PB).
    8. Li, Chaoshun & Tang, Geng & Xue, Xiaoming & Chen, Xinbiao & Wang, Ruoheng & Zhang, Chu, 2020. "The short-term interval prediction of wind power using the deep learning model with gradient descend optimization," Renewable Energy, Elsevier, vol. 155(C), pages 197-211.
    9. Kim, Do-Yeop & Kim, You-Taek, 2017. "Preliminary design and performance analysis of a radial inflow turbine for ocean thermal energy conversion," Renewable Energy, Elsevier, vol. 106(C), pages 255-263.
    10. Shen, Feifei & Zhao, Liang & Du, Wenli & Zhong, Weimin & Qian, Feng, 2020. "Large-scale industrial energy systems optimization under uncertainty: A data-driven robust optimization approach," Applied Energy, Elsevier, vol. 259(C).
    11. Park, Yeseul & Choi, Minsung & Kim, Kibeom & Li, Xinzhuo & Jung, Chanho & Na, Sangkyung & Choi, Gyungmin, 2020. "Prediction of operating characteristics for industrial gas turbine combustor using an optimized artificial neural network," Energy, Elsevier, vol. 213(C).
    12. Baklacioglu, Tolga & Turan, Onder & Aydin, Hakan, 2015. "Dynamic modeling of exergy efficiency of turboprop engine components using hybrid genetic algorithm-artificial neural networks," Energy, Elsevier, vol. 86(C), pages 709-721.
    13. García Kerdan, Iván & Morillón Gálvez, David, 2020. "Artificial neural network structure optimisation for accurately prediction of exergy, comfort and life cycle cost performance of a low energy building," Applied Energy, Elsevier, vol. 280(C).
    14. Liu, Zuming & Karimi, Iftekhar A., 2020. "Gas turbine performance prediction via machine learning," Energy, Elsevier, vol. 192(C).
    15. Al Jubori, Ayad M. & Al-Dadah, Raya & Mahmoud, Saad, 2017. "Performance enhancement of a small-scale organic Rankine cycle radial-inflow turbine through multi-objective optimization algorithm," Energy, Elsevier, vol. 131(C), pages 297-311.
    16. Yang, Yu & Chen, Shuangtao & Sheng, Chunchen & Xie, Hongtao & Luo, Gaoqiao & Hou, Yu, 2021. "Study on coupling performance of turbo-cooler in aircraft environmental control system," Energy, Elsevier, vol. 224(C).
    17. 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.
    18. Gao, Lei & Liu, Tianyuan & Cao, Tao & Hwang, Yunho & Radermacher, Reinhard, 2021. "Comparing deep learning models for multi energy vectors prediction on multiple types of building," Applied Energy, Elsevier, vol. 301(C).
    19. Gao, Lei & Hwang, Yunho & Cao, Tao, 2019. "An overview of optimization technologies applied in combined cooling, heating and power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 114(C), pages 1-1.
    20. Li, Xingxing & Zhang, Lei & Song, Juanjuan & Bian, Fengjiao & Yang, Ke, 2020. "Airfoil design for large horizontal axis wind turbines in low wind speed regions," Renewable Energy, Elsevier, vol. 145(C), pages 2345-2357.
    21. Tsoutsanis, Elias & Meskin, Nader & Benammar, Mohieddine & Khorasani, Khashayar, 2014. "A component map tuning method for performance prediction and diagnostics of gas turbine compressors," Applied Energy, Elsevier, vol. 135(C), pages 572-585.
    22. Di Zhang & Yuqi Wang & Yonghui Xie, 2018. "Investigation into Off-Design Performance of a S-CO 2 Turbine Based on Concentrated Solar Power," Energies, MDPI, vol. 11(11), pages 1-13, November.
    23. Huang, Renfang & Zhang, Zhen & Zhang, Wei & Mou, Jiegang & Zhou, Peijian & Wang, Yiwei, 2020. "Energy performance prediction of the centrifugal pumps by using a hybrid neural network," Energy, Elsevier, vol. 213(C).
    24. Sessarego, Matias & Feng, Ju & Ramos-García, Néstor & Horcas, Sergio González, 2020. "Design optimization of a curved wind turbine blade using neural networks and an aero-elastic vortex method under turbulent inflow," Renewable Energy, Elsevier, vol. 146(C), pages 1524-1535.
    25. Wen, Hao & Sang, Song & Qiu, Chenhui & Du, Xiangrui & Zhu, Xiao & Shi, Qian, 2019. "A new optimization method of wind turbine airfoil performance based on Bessel equation and GABP artificial neural network," Energy, Elsevier, vol. 187(C).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jiang, Chiju & Zhang, Weihao & Li, Ya & Li, Lele & Wang, Yufan & Huang, Dongming, 2023. "Multi-scale Pix2Pix network for high-fidelity prediction of adiabatic cooling effectiveness in turbine cascade," Energy, Elsevier, vol. 265(C).
    2. Du, Qiuwan & Li, Yunzhu & Yang, Like & Liu, Tianyuan & Zhang, Di & Xie, Yonghui, 2022. "Performance prediction and design optimization of turbine blade profile with deep learning method," Energy, Elsevier, vol. 254(PA).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Yuqi & Du, Qiuwan & Li, Yunzhu & Zhang, Di & Xie, Yonghui, 2022. "Field reconstruction and off-design performance prediction of turbomachinery in energy systems based on deep learning techniques," Energy, Elsevier, vol. 238(PB).
    2. Li, Jinxing & Liu, Tianyuan & Wang, Yuqi & Xie, Yonghui, 2022. "Integrated graph deep learning framework for flow field reconstruction and performance prediction of turbomachinery," Energy, Elsevier, vol. 254(PC).
    3. Du, Qiuwan & Li, Yunzhu & Yang, Like & Liu, Tianyuan & Zhang, Di & Xie, Yonghui, 2022. "Performance prediction and design optimization of turbine blade profile with deep learning method," Energy, Elsevier, vol. 254(PA).
    4. Jiang, Chiju & Zhang, Weihao & Li, Ya & Li, Lele & Wang, Yufan & Huang, Dongming, 2023. "Multi-scale Pix2Pix network for high-fidelity prediction of adiabatic cooling effectiveness in turbine cascade," Energy, Elsevier, vol. 265(C).
    5. Du, Qiuwan & Yang, Like & Li, Liangliang & Liu, Tianyuan & Zhang, Di & Xie, Yonghui, 2022. "Aerodynamic design and optimization of blade end wall profile of turbomachinery based on series convolutional neural network," Energy, Elsevier, vol. 244(PA).
    6. Sun, Lei & Liu, Tianyuan & Wang, Ding & Huang, Chengming & Xie, Yonghui, 2022. "Deep learning method based on graph neural network for performance prediction of supercritical CO2 power systems," Applied Energy, Elsevier, vol. 324(C).
    7. Li, Jinxing & Liu, Tianyuan & Zhu, Guangya & Li, Yunzhu & Xie, Yonghui, 2023. "Uncertainty quantification and aerodynamic robust optimization of turbomachinery based on graph learning methods," Energy, Elsevier, vol. 273(C).
    8. Zhu, Yilin & Xu, Yujie & Chen, Haisheng & Guo, Huan & Zhang, Hualiang & Zhou, Xuezhi & Shen, Haotian, 2023. "Optimal dispatch of a novel integrated energy system combined with multi-output organic Rankine cycle and hybrid energy storage," Applied Energy, Elsevier, vol. 343(C).
    9. Mingliang Bai & Jinfu Liu & Yujia Ma & Xinyu Zhao & Zhenhua Long & Daren Yu, 2020. "Long Short-Term Memory Network-Based Normal Pattern Group for Fault Detection of Three-Shaft Marine Gas Turbine," Energies, MDPI, vol. 14(1), pages 1-22, December.
    10. Li, Yunzhu & Liu, Tianyuan & Wang, Yuqi & Xie, Yonghui, 2022. "Deep learning based real-time energy extraction system modeling for flapping foil," Energy, Elsevier, vol. 246(C).
    11. Cheng, Xianda & Zheng, Haoran & Yang, Qian & Zheng, Peiying & Dong, Wei, 2023. "Surrogate model-based real-time gas path fault diagnosis for gas turbines under transient conditions," Energy, Elsevier, vol. 278(PA).
    12. Li, Xiaoya & Xu, Bin & Tian, Hua & Shu, Gequn, 2021. "Towards a novel holistic design of organic Rankine cycle (ORC) systems operating under heat source fluctuations and intermittency," Renewable and Sustainable Energy Reviews, Elsevier, vol. 147(C).
    13. Park, Yeseul & Choi, Minsung & Choi, Gyungmin, 2022. "Fault detection of industrial large-scale gas turbine for fuel distribution characteristics in start-up procedure using artificial neural network method," Energy, Elsevier, vol. 251(C).
    14. Jiajia Li & Jinfu Liu & Peigang Yan & Xingshuo Li & Guowen Zhou & Daren Yu, 2021. "Operation Optimization of Integrated Energy System under a Renewable Energy Dominated Future Scene Considering Both Independence and Benefit: A Review," Energies, MDPI, vol. 14(4), pages 1-36, February.
    15. Li, Jian & Peng, Xiayao & Yang, Zhen & Hu, Shuozhuo & Duan, Yuanyuan, 2022. "Design, improvements and applications of dual-pressure evaporation organic Rankine cycles: A review," Applied Energy, Elsevier, vol. 311(C).
    16. Sun, Lei & Tang, Bo & Xie, Yonghui, 2022. "Performance assessment of two compressed and liquid carbon dioxide energy storage systems: Thermodynamic, exergoeconomic analysis and multi-objective optimization," Energy, Elsevier, vol. 256(C).
    17. 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.
    18. Du, Yadong & Yang, Ce & Zhao, Ben & Hu, Chenxing & Zhang, Hanzhi & Yu, Zhiyi & Gao, Jianbing & Zhao, Wei & Wang, Haimei, 2023. "Optimal design of a supercritical carbon dioxide recompression cycle using deep neural network and data mining techniques," Energy, Elsevier, vol. 271(C).
    19. Martí de Castro-Cros & Manel Velasco & Cecilio Angulo, 2021. "Machine-Learning-Based Condition Assessment of Gas Turbines—A Review," Energies, MDPI, vol. 14(24), pages 1-27, December.
    20. Son, In Woo & Jeong, Yongju & Son, Seongmin & Park, Jung Hwan & Lee, Jeong Ik, 2022. "Techno-economic evaluation of solar-nuclear hybrid system for isolated grid," Applied Energy, Elsevier, vol. 306(PA).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:252:y:2022:i:c:s0360544222008830. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.