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A frequency domain dynamic simulation method for heat exchangers and thermal systems

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  • Zhao, Tian
  • Li, Hang
  • Li, Xia
  • Sun, Qing-Han
  • Fang, Xuan-Yi
  • Ma, Huan
  • Chen, Qun

Abstract

Dynamic simulation of thermal systems is crucial for their optimal control but facing the challenge of balancing calculation accuracy and efficiency, where numerically high-efficient and accurate heat exchanger (HX) modeling is a key. Herein, we propose a frequency domain model for HXs' dynamic simulation in the to meet this challenge. The governing equations of HXs are first converted to frequency domain through Fourier transform, and the analytical solution of the converted equations yields the frequency domain HX model in the form of transfer matrix that connects the inlet temperature variations and outlet temperature responses. Furthermore, integrating transfer matrices of HXs into the system's transfer matrix enables a high-efficiency thermal system simulation. Numerical cases of a single HX, a HX network, a district heating network, and a thermodynamic cycle are used to validate the developed method and demonstrate its efficacy by comparing it against finite difference/volume method. Results show that the proposed method could reduce the calculation time by 2–3 orders of magnitude, and the maximum deviation of node temperature is around 1 K. The proposed method can be a powerful tool for the analysis of thermal systems and potentially integrated energy systems.

Suggested Citation

  • Zhao, Tian & Li, Hang & Li, Xia & Sun, Qing-Han & Fang, Xuan-Yi & Ma, Huan & Chen, Qun, 2024. "A frequency domain dynamic simulation method for heat exchangers and thermal systems," Energy, Elsevier, vol. 286(C).
  • Handle: RePEc:eee:energy:v:286:y:2024:i:c:s0360544223029468
    DOI: 10.1016/j.energy.2023.129552
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    References listed on IDEAS

    as
    1. Ma, Xiaofeng & Jiang, Peixue & Zhu, Yinhai, 2022. "Dynamic simulation model with virtual interfaces of supercritical working fluid heat exchanger based on moving boundary method," Energy, Elsevier, vol. 254(PB).
    2. Vaccari, Marco & Pannocchia, Gabriele & Tognotti, Leonardo & Paci, Marco & Bonciani, Roberto, 2020. "A rigorous simulation model of geothermal power plants for emission control," Applied Energy, Elsevier, vol. 263(C).
    3. Li, Xia & Zhao, Tian & Sun, Qing-Han & Chen, Qun, 2022. "Frequency response function method for dynamic gas flow modeling and its application in pipeline system leakage diagnosis," Applied Energy, Elsevier, vol. 324(C).
    4. Li, Jingkang & Hu, Zunyan & Jiang, Hongsheng & Guo, Yuchuan & Li, Zeguang & Zhuge, Weilin & Xu, Liangfei & Li, Jianqiu & Ouyang, Minggao, 2023. "Coupled characteristics and performance of heat pipe cooled reactor with closed Brayton cycle," Energy, Elsevier, vol. 280(C).
    5. Zhao, Tian & Sun, Qing-Han & Li, Xia & Xin, Yong-Lin & Chen, Qun, 2023. "A novel transfer matrix-based method for steady-state modeling and analysis of thermal systems," Energy, Elsevier, vol. 281(C).
    6. Luu, Minh Tri & Milani, Dia & McNaughton, Robbie & Abbas, Ali, 2017. "Analysis for flexible operation of supercritical CO2 Brayton cycle integrated with solar thermal systems," Energy, Elsevier, vol. 124(C), pages 752-771.
    7. Horst, Tilmann Abbe & Rottengruber, Hermann-Sebastian & Seifert, Marco & Ringler, Jürgen, 2013. "Dynamic heat exchanger model for performance prediction and control system design of automotive waste heat recovery systems," Applied Energy, Elsevier, vol. 105(C), pages 293-303.
    8. Chen, Binbin & Wu, Wenchuan & Guo, Qinglai & Sun, Hongbin, 2022. "An efficient optimal energy flow model for integrated energy systems based on energy circuit modeling in the frequency domain," Applied Energy, Elsevier, vol. 326(C).
    9. Wang, Xuan & Cai, Jinwen & Lin, Zhimin & Tian, Hua & Shu, Gequn & Wang, Rui & Bian, Xingyan & Shi, Lingfeng, 2022. "Dynamic simulation study of the start-up and shutdown processes for a recompression CO2 Brayton cycle," Energy, Elsevier, vol. 259(C).
    10. He, Ke-Lun & Zhao, Tian & Ma, Huan & Chen, Qun, 2023. "Optimal operation of integrated power and thermal systems for flexibility improvement based on evaluation and utilization of heat storage in district heating systems," Energy, Elsevier, vol. 274(C).
    11. Zhao, Tian & Chen, Xi & He, Ke-Lun & Chen, Qun, 2021. "A hierarchical and categorized algorithm for efficient and robust simulation of thermal systems based on the heat current method," Energy, Elsevier, vol. 215(PA).
    12. He, Ke-Lun & Chen, Qun & Ma, Huan & Zhao, Tian & Hao, Jun-Hong, 2020. "An isomorphic multi-energy flow modeling for integrated power and thermal system considering nonlinear heat transfer constraint," Energy, Elsevier, vol. 211(C).
    13. Qiu, Leilei & Liao, Shengyong & Fan, Sui & Sun, Peiwei & Wei, Xinyu, 2023. "Dynamic modelling and control system design of micro-high-temperature gas-cooled reactor with helium brayton cycle," Energy, Elsevier, vol. 278(PB).
    14. Ma, Teng & Li, Ming-Jia & Xu, Jin-Liang & Cao, Feng, 2019. "Thermodynamic analysis and performance prediction on dynamic response characteristic of PCHE in 1000 MW S-CO2 coal fired power plant," Energy, Elsevier, vol. 175(C), pages 123-138.
    15. Zhao, Tian & Chen, Xi & He, Ke-Lun & Chen, Qun, 2021. "A standardized modeling strategy for heat current method-based analysis and simulation of thermal systems," Energy, Elsevier, vol. 217(C).
    16. Wang, Shukun & Liu, Zuming & Liu, Chao & Wang, Xiaonan, 2022. "Thermodynamic analysis of operating strategies for waste heat recovery of combined heating and power systems," Energy, Elsevier, vol. 258(C).
    17. Jiang, Yuan & Liese, Eric & Zitney, Stephen E. & Bhattacharyya, Debangsu, 2018. "Design and dynamic modeling of printed circuit heat exchangers for supercritical carbon dioxide Brayton power cycles," Applied Energy, Elsevier, vol. 231(C), pages 1019-1032.
    18. Xin, Yong-Lin & Sun, Qing-Han & Zhao, Tian & Li, Xia & Chen, Qun, 2023. "A categorized and decomposed algorithm for thermal system simulation based on generalized benders decomposition," Energy, Elsevier, vol. 282(C).
    19. Chen, Yuwei & Guo, Qinglai & Sun, Hongbin & Pan, Zhaoguang & Chen, Binbin, 2021. "Generalized phasor modeling of dynamic gas flow for integrated electricity-gas dispatch," Applied Energy, Elsevier, vol. 283(C).
    20. Du, Yadong & Yang, Ce & Zhao, Ben & Gao, Jianbing & Hu, Chenxing & Zhang, Hanzhi & Zhao, Wei, 2022. "Dynamic characteristics of a recompression supercritical CO2 cycle against variable operating conditions and temperature fluctuations of reactor outlet coolant," Energy, Elsevier, vol. 258(C).
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