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A novel transfer matrix-based method for steady-state modeling and analysis of thermal systems

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  • Zhao, Tian
  • Sun, Qing-Han
  • Li, Xia
  • Xin, Yong-Lin
  • Chen, Qun

Abstract

Performance analysis and optimization of thermal systems are unprecedentedly crucial in pursuing higher energy efficiency. However, the precise modeling and high-efficiency calculation of modern, complex thermal systems are still challenging. Here we present a transfer matrix-based system modeling method to tackle these challenges. The transfer matrix of heat exchangers is defined to describe the temperature mapping relation between inlet and outlet nodes. Heat-work conversion devices are described by the working fluid temperature variation. The system modeling follows a three-step procedure: (1) building system transfer matrix by aggregating component models; (2) separate given and unknown node temperatures by removing redundant rows and columns in the system transfer matrix; (3) rearrange the reduced system transfer matrix to calculate internal and outlet node temperatures. The constructed system model does not introduce unnecessary simplifications and describes the system’s nonlinearity accurately. The proposed modeling method is first presented and validated on a parallel-series and a multi-loop heat exchanger network. Numerical results with both constant and varying fluid properties confirm the method’s validity. Case studies on three thermodynamic systems further validate the method’s capability and efficiency. The proposed method is finally compared with conventional modeling methods and heat current method to highlight its features and advantages.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:energy:v:281:y:2023:i:c:s0360544223016742
    DOI: 10.1016/j.energy.2023.128280
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    1. Reyes-Belmonte, M.A. & Sebastián, A. & Romero, M. & González-Aguilar, J., 2016. "Optimization of a recompression supercritical carbon dioxide cycle for an innovative central receiver solar power plant," Energy, Elsevier, vol. 112(C), pages 17-27.
    2. 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).
    3. Jia, Yuting & Alva, Guruprasad & Fang, Guiyin, 2019. "Development and applications of photovoltaic–thermal systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 102(C), pages 249-265.
    4. Song, Jian & Gu, Chun-wei, 2015. "Performance analysis of a dual-loop organic Rankine cycle (ORC) system with wet steam expansion for engine waste heat recovery," Applied Energy, Elsevier, vol. 156(C), pages 280-289.
    5. Zhu, Shahong & Zhang, Man & Huang, Yiqun & Wu, Yuxin & Yang, Hairui & Lyu, Junfu & Gao, Xinyu & Wang, Fengjun & Yue, Guangxi, 2019. "Thermodynamic analysis of a 660 MW ultra-supercritical CFB boiler unit," Energy, Elsevier, vol. 173(C), pages 352-363.
    6. 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).
    7. Wang, Yi & Cheng, Jiangnan & Zhang, Ning & Kang, Chongqing, 2018. "Automatic and linearized modeling of energy hub and its flexibility analysis," Applied Energy, Elsevier, vol. 211(C), pages 705-714.
    8. 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).
    9. Chen, Xi & Chen, Qun & Chen, Hong & Xu, Ying-Gen & Zhao, Tian & Hu, Kang & He, Ke-Lun, 2019. "Heat current method for analysis and optimization of heat recovery-based power generation systems," Energy, Elsevier, vol. 189(C).
    10. Qin, Chun & Wang, Linqing & Han, Zhongyang & Zhao, Jun & Liu, Quanli, 2021. "Weighted directed graph based matrix modeling of integrated energy systems," Energy, Elsevier, vol. 214(C).
    11. Al-Sulaiman, Fahad A. & Atif, Maimoon, 2015. "Performance comparison of different supercritical carbon dioxide Brayton cycles integrated with a solar power tower," Energy, Elsevier, vol. 82(C), pages 61-71.
    12. 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).
    13. Liu, Xuezhi & Mancarella, Pierluigi, 2016. "Modelling, assessment and Sankey diagrams of integrated electricity-heat-gas networks in multi-vector district energy systems," Applied Energy, Elsevier, vol. 167(C), pages 336-352.
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    Cited by:

    1. 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).
    2. 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).

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